Curriculum Framework

Al.1.1: Evaluate algebraic expressions, including radicals, by applying the order of operations

Simplifying Radicals - Activity A

Al.1.2: Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa

Using Algebraic Equations

Using Algebraic Expressions

Al.1.3: Apply the laws of (integral) exponents

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Al.1.5: Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives

Addition of Polynomials - Activity A

Al.1.6: Simplify algebraic fractions by factoring

Dividing Exponential Expressions

Modeling the Factorization of *x*^{2}+*bx*+*c*

Al.1.8: Simplify radical expressions such as 3/(square root of 7)

Operations with Radical Expressions

Simplifying Radicals - Activity A

Square Roots

Al.1.9: Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)

Operations with Radical Expressions

Simplifying Radicals - Activity A

Square Roots

Al.2.1: Solve multi-step equations and inequalities with rational coefficients

Al.2.1.a: numerically (from a table or guess and check)

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Al.2.1.b: algebraically (including the use of manipulatives)

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Al.2.1.c: graphically

Inequalities Involving Absolute Values

Linear Programming - Activity A

Modeling and Solving Two-Step Equations

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Solving Two-Step Equations

Al.2.1.d: technologically

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Al.2.2: Solve systems of two linear equations

Al.2.2.a: numerically (from a table or guess and check)

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

Al.2.2.b: algebraically (including the use of manipulatives)

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

Al.2.2.c: graphically

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

Al.2.2.d: technologically

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

Al.2.3: Solve linear formulas and literal equations for a specified variable

Solving Formulas for any Variable

Al.2.4: Solve and graph simple absolute value equations and inequalities

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Al.2.5: Solve real world problems that involve a combination of rates, proportions and percents

Estimating Population Size

Polling: Neighborhood

Al.2.6: Solve problems involving direct variation and indirect (inverse) variation to model rates of change

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Al.2.7: Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Pythagorean Theorem)

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Al.2.8: Communicate real world problems graphically, algebraically, numerically and verbally

Cosine Function

Cubic Function Activity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

Al.3.1: Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data

Introduction to Functions

Linear Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.2: Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data

Cosine Function

Cubic Function Activity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Introduction to Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

Using Tables, Rules and Graphs

Al.3.4: Identify independent variables and dependent variables in various representational modes: words, symbols, and/or graphs

Al.3.5: Interpret the rate of change/slope and intercepts within the context of everyday life

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Al.3.6: Calculate the slope given

Al.3.6.a: two points

Al.3.6.b: the graph of a line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Al.3.6.c: the equation of a line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Standard Form of a Line

Al.3.7: Determine by using slope whether a pair of lines are parallel, perpendicular, or neither

Al.3.8: Write an equation in slope-intercept form given

Al.3.8.a: two points

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.8.b: a point and y-intercept

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.8.c: x-intercept and y-intercept

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.8.d: a point and slope

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.8.e: a table of data

Linear Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.8.f: the graph of a line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

Al.3.9: Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa

Defining a Line with Two Points

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Functions Involving Square Roots

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AI.4.1: Factoring polynomials

AI.4.1.a: greatest common factor

AI.4.1.b: binomials (difference of squares)

Al.4.2: Determine minimum, maximum, vertex, and zeros, given the graph

Parabolas - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Al.4.3: Solve quadratic equations using the appropriate methods with and without technology

Al.4.3.a: factoring

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Al.4.3.b: quadratic formula with real number solutions

Al.4.4: Recognize function families and their connections including vertical shift and reflection over the x-axis

Al.4.4.a: quadratics

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Al.4.4.b: absolute value

Inequalities Involving Absolute Values

Quadratic and Absolute Value Functions

Al.4.4.c: exponential functions

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Al.4.5: Communicate real world problems graphically, algebraically, numerically and verbally

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Al.5.1: Construct and use scatter plots and line of best fit to make inferences in real life situations

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

Al.5.4: Determine the effects of changes in the data set on the measures of central tendency

Line Plots

Mean, Median and Mode

Al.5.5: Use two or more box-and- whisker plots to compare data sets

Box-and-Whisker Plots

Populations and Samples

Al.5.6: Construct and interpret a cumulative frequency histogram in real life situations

Histograms

Populations and Samples

Al.5.7: Recognize linear functions and non-linear functions by using a table or a graph

Functions Involving Square Roots

Introduction to Functions

Linear Functions

Unit Circle

Using Tables, Rules and Graphs

Al.5.8: Compute simple probability with and without replacement

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

Al.5.9: Recognize patterns using explicitly defined and recursively defined linear functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Al.5.10: Communicate real world problems graphically, algebraically, numerically and verbally

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AA.1.1: Evaluate algebraic expressions, including radicals, by applying the order of operations

Operations with Radical Expressions

Simplifying Radicals - Activity A

AA.1.2: Translate word phrases and sentences into expressions, equations, and inequalities, and vice versa

Using Algebraic Equations

Using Algebraic Expressions

AA.1.4: Simplify algebraic fractions by factoring

Dividing Exponential Expressions

Modeling the Factorization of *x*^{2}+*bx*+*c*

AA.2.1: Solve multi-step equations and inequalities with rational coefficients

AA.2.1.a: numerically (from a table or guess and check)

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

AA.2.1.b: algebraically (including the use of manipulatives)

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

AA.2.1.c: graphically

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

AA.2.1.d: technologically

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

AA.2.2: Solve systems of two linear equations

AA.2.2.a: numerically (from a table or guess and check)

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AA.2.2.b: algebraically (including the use of manipulatives)

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AA.2.2.c: graphically

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AA.2.2.d: technologically

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AA.2.3: Solve linear formulas and literal equations for a specified variable

Solving Formulas for any Variable

AA.2.4: Solve and graph simple absolute value equations and inequalities

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

AA.2.5: Solve real world problems that involve a combination of rates, proportions and percents

Estimating Population Size

Polling: Neighborhood

AA.2.6: Solve problems involving direct variation and indirect (inverse) variation to model rates of change

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

AA.2.7: Use coordinate geometry to represent and/or solve problems (midpoint, length of a line segment, and Theorem)

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Point-Slope Form of a Line - Activity A

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Slope-Intercept Form of a Line - Activity A

AA.2.8: Communicate graphically, algebraically, numerically and verbally real world problems

Linear Inequalities in Two Variables - Activity A

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

AA.3.1: Distinguish between functions and non-functions/relations by inspecting graphs, ordered pairs, mapping diagrams and/or tables of data

Introduction to Functions

Linear Functions

Using Tables, Rules and Graphs

AA.3.2: Determine domain and range of a relation from an algebraic expression, graphs, set of ordered pairs, or table of data

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Introduction to Functions

Using Tables, Rules and Graphs

AA.3.3: Know and/or use function notation, including evaluating functions for given values in their domain

Linear Functions

Using Tables, Rules and Graphs

AA.3.4: Identify independent variables and dependent variables in various representational modes: words, symbols, and/or graphs

AA.3.5: Interpret the rate of change/slope and intercepts within the context of everyday life

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AA.3.6: Calculate the slope given

AA.3.6.a: two points

AA.3.6.b: the graph of a line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AA.3.6.c: the equation of a line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AA.3.7: Determine by using slope whether a pair of lines are parallel, perpendicular, or neither

AA.3.8: Write an equation in slope-intercept form given

AA.3.8.a: two points

Defining a Line with Two Points

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

AA.3.8.b: a point and y-intercept

Defining a Line with Two Points

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

AA.3.8.c: x-intercept and y-intercept

Defining a Line with Two Points

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

AA.3.8.d: a point and slope

Defining a Line with Two Points

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

AA.3.8.e: a table of data

Defining a Line with Two Points

Linear Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

AA.3.8.f: the graph of a line

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

AA.3.9: Describe the effects of parameter changes, slope and/or y-intercept, on graphs of linear functions and vice versa

Defining a Line with Two Points

Functions Involving Square Roots

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AA.5.1: Construct and use scatter plots and line of best fit to make inferences in real life situations

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

AA.5.4: Use two or more box-and-whisker plots to compare data sets

Box-and-Whisker Plots

Populations and Samples

AA.5.5: Construct and interpret a cumulative frequency histogram in real life situations

Histograms

Populations and Samples

AA.5.6: Recognize linear functions and non-linear functions by using a table or graph

Functions Involving Square Roots

Linear Functions

Unit Circle

Using Tables, Rules and Graphs

AA.5.7: Compute simple probability with and without replacement

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

AA.5.8: Recognize patterns using explicitly defined and recursively defined linear functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

AB.1.1: Evaluate algebraic expressions, including radicals, by applying the order of operations

Operations with Radical Expressions

Simplifying Radicals - Activity A

AB.1.2: Apply the laws of (integral) exponents

Dividing Exponential Expressions

Exponents and Power Rules

AB.1.4: Perform polynomial operations (addition, subtraction, multiplication) with and without manipulatives

Addition of Polynomials - Activity A

AB.1.5: Simplify algebraic fractions by factoring

Dividing Exponential Expressions

Modeling the Factorization of *x*^{2}+*bx*+*c*

AB.1.6: Simplify radical expressions such as 3/(square root of 7)

Operations with Radical Expressions

Simplifying Radicals - Activity A

Square Roots

AB.1.7: Add, subtract, and multiply simple radical expressions like 3(square root of 20) + 7(square root of 5) and 4(square root of 5) * 2(square root of 3)

Operations with Radical Expressions

Simplifying Radicals - Activity A

Square Roots

AB.2.1: Solve systems of two linear equations

AB.2.1.a: numerically (from a table or guess and check)

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AB.2.1.b: algebraically (including the use of manipulatives)

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AB.2.1.c: graphically

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AB.2.1.d: technologically

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AB.2.2: Solve and graph simple absolute value equations and inequalities

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

AB.2.3: Communicate real world problems graphically, algebraically, numerically and verbally

Linear Inequalities in Two Variables - Activity A

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

AB.3.1: Factoring polynomials

AB.3.1.a: greatest common factor

AB.3.1.b: binomials (difference of squares)

AB.3.1.c: trinomials

Factoring Special Products

Modeling the Factorization of *x*^{2}+*bx*+*c*

AB.3.2: Determine minimum, maximum, vertex, and zeros, given the graph

Parabolas - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

AB.3.3: Solve quadratic equations using the appropriate methods with and without technology

AB.3.3.a: factoring

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

AB.3.3.b: quadratic formula with real number solutions

AB.3.4: Recognize function families and their connections including vertical shift and reflection over the x-axis

AB.3.4.a: quadratics

Absolute Value with Linear Functions - Activity B

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Reflections of a Quadratic Function

Roots of a Quadratic

AB.3.4.b: absolute value

Absolute Value with Linear Functions - Activity B

Inequalities Involving Absolute Values

Quadratic and Absolute Value Functions

Translating and Scaling Functions

AB.3.4.c: exponential functions

Absolute Value with Linear Functions - Activity B

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

AB.3.5: Communicate real world problems graphically, algebraically, numerically and verbally

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

AB.4.1: Determine the effects of changes in the data set on the measures of central tendency

AB.4.2: Use two or more box-and- whisker plots to compare data sets

AB.4.3: Construct and interpret a cumulative frequency histogram in real life situations

Histograms

Populations and Samples

AB.4.4: Recognize linear functions and non-linear functions by using a table or a graph

Functions Involving Square Roots

Linear Functions

Unit Circle

Using Tables, Rules and Graphs

AB.4.5: Compute simple probability with and without replacement

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

AB.4.6: Recognize patterns using explicitly defined and recursively defined linear functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

AB.4.7: Communicate real world problems graphically, algebraically, numerically and verbally.

Binomial Probabilities

Estimating Population Size

G.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations

G.1.1.c: conditional statements (statement, inverse, converse, and contrapositive)

G.1.3: Describe relationships derived from geometric figures or figural patterns

Classifying Quadrilaterals - Activity B

Finding Patterns

G.1.4: Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Chords and Arcs

Investigating Angle Theorems - Activity A

Parallelogram Conditions

G.1.5: Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel

Investigating Angle Theorems - Activity A

G.1.6: Give justification for conclusions reached by deductive reasoning

Biconditional Statement

Conditional Statement

G.2.1: Apply congruence (SSS...) and similarity (AA...) correspondences and properties of figures to find missing parts of geometric figures and provide logical justification

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.2.2: Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem)

G.2.3: Identify and use the special segments of triangles (altitude, median, angle bisector, perpendicular bisector, and midsegment) to solve problems

Concurrent Lines, Medians, and Altitudes

G.2.4: Apply the Pythagorean Theorem and its converse in solving practical problems

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

G.2.6: Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles in right triangles including angles of elevation and angles of depression

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

G.3.1: Calculate probabilities arising in geometric contexts

Geometric Probability - Activity A

G.3.2: Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

G.3.3: Relate changes in the measurement of one attribute of an object to changes in other attributes

Prisms and Cylinders - Activity A

G.3.4: Use (given similar geometric objects) proportional reasoning to solve practical problems (including scale drawings)

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

G.3.5: Use properties of parallel lines and proportional reasoning to find the lengths of segments

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

G.4.1: Explore and verify the properties of quadrilaterals

Classifying Quadrilaterals - Activity B

Parallelogram Conditions

Special Quadrilaterals

G.4.2: Solve problems using properties of polygons:

G.4.2.a: sum of the measures of the interior angles of a polygon

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

G.4.2.b: interior and exterior angle measure of a regular polygon or irregular polygon

Triangle Angle Sum - Activity A

G.4.2.c: number of sides or angles of a polygon

Classifying Triangles

Isosceles and Equilateral Triangles

G.4.5: Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles

Chords and Arcs

Inscribing Angles

G.5.1: Use coordinate geometry to find the distance between two points, the midpoint of a segment, and the slopes of parallel, perpendicular, horizontal, and vertical lines

Construct Parallel and Perpendicular Lines

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Point-Slope Form of a Line - Activity A

Pythagorean Theorem - Activity A

Slope - Activity B

G.5.2: Write equations of lines in slope-intercept form and use slope to determine parallel and perpendicular lines

Defining a Line with Two Points

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

G.5.3: Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)

Classifying Quadrilaterals - Activity B

Classifying Triangles

Isosceles and Equilateral Triangles

Parallelogram Conditions

Special Quadrilaterals

G.5.4: Write, in standard form, the equation of a circle given a graph on a coordinate plane or the center and radius of a circle

G.5.5: Draw and interpret the results of transformations and successive transformations on figures in the coordinate plane

G.5.5.a: translations

Rotations, Reflections and Translations

Translations

G.5.5.b: reflections

Reflections

Rotations, Reflections and Translations

G.5.5.c: rotations (90Â°, 180Â°, clockwise and counterclockwise about the origin)

Rotations, Reflections and Translations

G.5.5.d: dilations (scale factor)

GA.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations

GA.1.1.b: matrix logic

Biconditional Statement

Conditional Statement

GA.1.1.c: conditional statements (statement, inverse, converse, and contrapositive)

Biconditional Statement

Conditional Statement

GA.1.3: Describe relationships derived from geometric figures or figural patterns

Classifying Quadrilaterals - Activity B

Finding Patterns

GA.1.4: Apply, with and without appropriate technology, definitions, theorems, properties, and postulates related to such topics as complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Investigating Angle Theorems - Activity A

GA.1.5: Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel

Investigating Angle Theorems - Activity A

GA.1.6: Give justification for conclusions reached by deductive reasoning

Biconditional Statement

Conditional Statement

GA.2.1: Apply congruence (SSS...) and similarity (AA...) correspondences and properties of figures to find missing parts of geometric figures and provide logical justification

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

GA.2.2: Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem)

Classifying Triangles

Triangle Inequalities

GA.2.3: Identify and use the special segments of triangles (altitude, median, angle bisector, perpendicular bisector, and midsegment) to solve problems

Concurrent Lines, Medians, and Altitudes

GA.2.4: Apply the Pythagorean Theorem and its converse in solving practical problems

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

GA.3.1: Explore and verify the properties of quadrilaterals

Classifying Quadrilaterals - Activity B

Parallelogram Conditions

Special Quadrilaterals

GA.3.2: Solve problems using properties of polygons:

GA.3.2.a: sum of the measures of the interior angles of a polygon

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

GA.3.2.b: interior and exterior angle measure of a regular polygon or irregular polygon

Triangle Angle Sum - Activity A

GA.3.2.c: number of sides or angles of a polygon

Classifying Triangles

Isosceles and Equilateral Triangles

GA.3.3: Use orthographic drawings (top, front, side) and isometric drawings (corner) to represent three-dimensional objects

3D and Orthographic Views - Activity A

GA.4.1: Use coordinate geometry to find the distance between two points, the midpoint of a segment, and the slopes of parallel, perpendicular, horizontal, and vertical lines

Construct Parallel and Perpendicular Lines

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Point-Slope Form of a Line - Activity A

Pythagorean Theorem - Activity A

Slope - Activity B

GA.4.2: Write equations of lines in slope-intercept form, and use slope to determine parallel and perpendicular lines

Defining a Line with Two Points

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

GA.4.3: Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)

Classifying Triangles

Isosceles and Equilateral Triangles

Parallelogram Conditions

GB.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations

GB.1.1.b: Matrix Logic

Biconditional Statement

Conditional Statement

GB.1.1.c: Conditional Statements (statement, inverse, converse, and contrapositive)

Biconditional Statement

Conditional Statement

GB.1.2: Give justification for conclusions reached by deductive reasoning

Biconditional Statement

Conditional Statement

GB.2.1: Apply the Pythagorean Theorem and its converse in solving practical problems

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

GB.2.3: Using trigonometric ratios(sine, cosine, tangent), determine lengths of sides and measures of angles in right triangles including angles of elevation and angles of depression

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

GB.3.1: Calculate probabilities arising in geometric contexts

Geometric Probability - Activity A

GB.3.2: Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

GB.3.3: Relate changes in the measurement of one attribute of an object to changes in other attributes

Prisms and Cylinders - Activity A

GB.3.4: Use (given similar geometric objects) proportional reasoning to solve practical problems (including scale drawings)

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

GB.3.5: Use properties of parallel lines and proportional reasoning to find the lengths of segments

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

GB.4.3: Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles

Chords and Arcs

Inscribing Angles

GB.4.5: Use orthographic drawings (top, front, side) and isometric drawings (corner) to represent three-dimensional objects

3D and Orthographic Views - Activity A

GB.4.6: Draw, examine, and classify cross-sections of three-dimensional objects

Classifying Quadrilaterals - Activity B

Classifying Triangles

GB.5.1: Write, in standard form, the equation of a circle given a graph on a coordinate plane or the center and radius of a circle

GB.5.2: Draw and interpret the results of transformations and transformations on figures in the coordinate plane

GB.5.2.a: translations

Rotations, Reflections and Translations

Translations

GB.5.2.b: reflections

Reflections

Rotations, Reflections and Translations

GB.5.2.c: rotations (90Â°. 180Â°, clockwise and counterclockwise about the origin)

Rotations, Reflections and Translations

GB.5.2.d: dilations (scale factor)

GI.1.1: Define, compare and contrast inductive reasoning and deductive reasoning for making predictions based on real world situations

GI.1.1.c: conditional statements (statement, inverse, converse, and contrapositive)

GI.1.3: Describe relationships derived from geometric figures or figural patterns

Classifying Quadrilaterals - Activity B

Finding Patterns

GI.1.4: Apply, with and without appropriate technology, definitions, theorems, properties, and postulates, related to such topics as complementary, supplementary, vertical angles, linear pairs, and angles formed by perpendicular lines

Investigating Angle Theorems - Activity A

GI.1.5: Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel

Investigating Angle Theorems - Activity A

GI.1.6: Justify conclusions reached by deductive reasoning

Biconditional Statement

Conditional Statement

GI.2.1: Apply congruence (SSS...) and similarity (AA...) correspondences and properties of figures to find missing parts of geometric figures and provide logical justification

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

GI.2.2: Investigate the measures of segments to determine the existence of triangles (triangle inequality theorem)

Classifying Triangles

Triangle Inequalities

GI.2.3: Identify and use the special segments of triangles (altitude, median, angle bisector, perpendicular bisector, and midsegment) to solve problems

Concurrent Lines, Medians, and Altitudes

GI.2.4: Apply the Pythagorean Theorem and its converse in solving practical problems

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

GI.2.6: Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles in right triangles including angles of elevation and angles of depression

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

GI.3.1: Calculate probabilities arising in geometric contexts

Geometric Probability - Activity A

GI.3.2: Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

GI.3.3: Relate changes in the measurement of one attribute of an object to changes in other attributes

Prisms and Cylinders - Activity A

GI.3.4: Use proportional reasoning to solve practical problems (including scale drawings) given similar geometric objects

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

GI.3.5: Use properties of parallel lines and proportional reasoning to find the lengths of segments

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

GI.4.1: Explore and verify the properties of quadrilaterals

Classifying Quadrilaterals - Activity B

Parallelogram Conditions

Special Quadrilaterals

GI.4.2: Solve problems using properties of polygons

GI.4.2.a: sum of the measures of the interior angles of a polygon

Polygon Angle Sum - Activity A

Triangle Angle Sum - Activity A

GI.4.2.b: interior and exterior angle measure of a regular polygon or irregular polygon

Triangle Angle Sum - Activity A

GI.4.2.c: number of sides or angles of a polygon

Classifying Triangles

Isosceles and Equilateral Triangles

GI.4.5: Investigate and use the properties of angles (central and inscribed) arcs, chords, tangents, and secants to solve problems involving circles

Chords and Arcs

Inscribing Angles

GI.4.7: Use orthographic drawings (top, front, side) and isometric drawings (corner) to represent three-dimensional objects

3D and Orthographic Views - Activity A

GI.5.1: Use coordinate geometry to find the distance between two points, the midpoint of a segment, and the slopes of parallel, perpendicular, horizontal, and vertical lines

Construct Parallel and Perpendicular Lines

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Point-Slope Form of a Line - Activity A

Pythagorean Theorem - Activity A

Slope - Activity B

GI.5.2: Write equations of lines in slope-intercept form and use slope to determine parallel and perpendicular lines

Construct Parallel and Perpendicular Lines

Defining a Line with Two Points

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

GI.5.3: Determine, given a set of points, the type of figure based on its properties (parallelogram, isosceles triangle, trapezoid)

Classifying Quadrilaterals - Activity B

Classifying Triangles

Isosceles and Equilateral Triangles

Parallelogram Conditions

Special Quadrilaterals

GI.5.4: Write, in standard form, the equation of a circle given a graph on a coordinate plane or the center and radius of a circle

GI.5.5: Draw and interpret the results of transformations and successive transformations on figures in the coordinate plane

GI.5.5.a: translations

Rotations, Reflections and Translations

Translations

GI.5.5.b: reflections

Reflections

Rotations, Reflections and Translations

Gi.5.5.c: rotations (90Â°, 180Â°, clockwise and counterclockwise about the origin)

Rotations, Reflections and Translations

GI.5.5.d: dilations (scale factor)

AC.1.1: Apply counting techniques to determine the number of outcomes

AC.1.1.a: tree diagram

Binomial Probabilities

Permutations

Permutations and Combinations

AC.1.1.c: permutations (with and without repetition)

Permutations

Permutations and Combinations

AC.1.1.d: combinations

Binomial Probabilities

Permutations and Combinations

AC.1.2: Conduct and interpret simple probability experiments using

AC.1.2.a: manipulatives (spinners, dice, cards, coins)

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

AC.1.2.b: simulations (using random number tables, graphing calculators, or computer software)

AC.1.3: Compute and display theoretical and experimental probability including the use of Venn diagrams.

AC.1.3.a: simple

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

AC.1.3.b: complementary

AC.1.3.c: compound (mutually exclusive, inclusive, independent and dependent events)

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

AC.1.5: Interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for

AC.1.5.a: consistency with the data

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AC.1.5.b: appropriateness of type of graph or data display

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AC.2.1: Create, given a graph without an explicit formula, a written or oral interpretation of the relationship between the independent and dependent variables

AC.2.2: Create, given a situation, a graph that models the relationship between the independent and dependent variables

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Introduction to Functions

AC.2.3: Determine the independent and dependent variables, domain and range of a relation from an algebraic expression, graph, set of ordered pairs, or table of data

Cosine Function

Cubic Function Activity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Introduction to Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

Using Tables, Rules and Graphs

AC.2.4: Interpret the rate of change (slope) and intercepts within the context of everyday life

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

AC.2.5: Calculate the slope given

AC.2.5.a: two points

AC.2.5.b: a graph of a line

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AC.2.5.c: an equation of a line

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AC.2.6: Determine, using slope, whether a pair of lines are parallel, perpendicular, or neither

Construct Parallel and Perpendicular Lines

Slope - Activity B

AC.2.7: Write an equation given

AC.2.7.a: two points

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Standard Form of a Line

AC.2.7.b: a point and y-intercept

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AC.2.7.c: an x-intercept and y-intercept

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AC.2.7.d: a point and slope

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AC.2.7.e: a table of data

Defining a Line with Two Points

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AC.2.7.f: the graph of a line

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AC.3.1: Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients numerically, algebraically and graphically

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

AC.3.2: Solve, with and without appropriate technology, systems of two linear equations and systems of two inequalities numerically, algebraically and graphically

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

AC.3.3: Solve linear formulas and literal equations for a specified variable

Solving Formulas for any Variable

AC.3.4: Use, with and without appropriate technology, coordinate geometry to represent and solve problems including midpoint, length of a line segment and Pythagorean Theorem

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

AC.3.5: Determine and describe, with and without appropriate technology, the resulting change in the perimeter, area, and volume when one or more dimensions change (apply this idea in solving real world problems)

Area of Parallelograms - Activity A

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Translating and Scaling Functions

AC.3.6: Apply linear, piece-wise and step functions to real world situations that involve a combination of rates, proportions and percents such as sales tax, simple interest, social security, constant depreciation and appreciation, arithmetic sequences, constant

Arithmetic Sequences

Arithmetic and Geometric Sequences

Linear Functions

Point-Slope Form of a Line - Activity A

Simple and Compound Interest

Slope-Intercept Form of a Line - Activity A

AC.4.1: Factor polynomials

AC.4.1.a: greatest common factor

AC.4.1.b: binominals (difference of squares)

AC.4.1.c: trinomials

Modeling the Factorization of *x*^{2}+*bx*+*c*

AC.4.1.d: combinations of the above

Factoring Special Products

Modeling the Factorization of *x*^{2}+*bx*+*c*

AC.4.2: Simplify, add, subtract and multiply radical expressions

Operations with Radical Expressions

Simplifying Radicals - Activity A

AC.4.3: Solve, with and without appropriate technology, quadratic equations with real number solutions using factoring and the quadratic formula

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Roots of a Quadratic

AC.4.4: Determine the independent and dependent variables, domain and range of a relation from algebraic equations, graphs, sets of ordered pairs, or tables of data

Cosine Function

Cubic Function Activity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Introduction to Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

Unit Circle

Using Tables, Rules and Graphs

AC.4.5: Identify and apply nonlinear functions to real world situations such as acceleration, area, volume, population, bacteria, compound interest, percent depreciation and appreciation, amortization, geometric sequences, etc.

Arithmetic and Geometric Sequences

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Fourth-Degree Polynomials - Activity A

Functions Involving Square Roots

General Form of a Rational Function

Geometric Sequences

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Simple and Compound Interest

Sine Function

Tangent Function

Unit Circle

AC.4.6: Recognize function families including vertical shifts, horizontal shifts and reflections over the x-axis

Absolute Value with Linear Functions - Activity B

Logarithmic Functions: Translating and Scaling

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

AII.1.1: Determine, with or without technology, the domain and range of a relation defined by a graph, a table of values, or a symbolic equation including those with restricted domains and whether a relation is a function

Cosine Function

Functions Involving Square Roots

General Form of a Rational Function

Introduction to Functions

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Radical Functions

Rational Functions

Sine Function

Tangent Function

Using Tables, Rules and Graphs

AII.1.2: Evaluate, add, subtract, multiply, divide and compose functions and give appropriate domain and range restrictions

Addition and Subtraction of Polynomials

AII.1.4: Analyze and report, with and without appropriate technology, the effect of changing coefficients, exponents, and other parameters on functions and their graphs (linear, quadratic, and higher degree polynomial)

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Linear Functions

Parabolas - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Reflections of a Linear Function

Reflections of a Quadratic Function

Roots of a Quadratic

Translating and Scaling Functions

AII.1.5: Determine, with and without appropriate technology, whether a function is even, odd or neither to analyze the behavior of a graph

Cosine Function

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Sine Function

Tangent Function

AII.1.7: Apply the concepts of functions to real world situations

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Tangent Function

AII.2.1: Translate linear equations from one form (slope-intercept, point-slope, and standard) to another

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AII.2.2: Develop, write, and graph, with and without appropriate technology, equations of lines in slope-intercept, point-slope, and standard forms given

AII.2.2.a: a point and the slope

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AII.2.2.b: two points

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AII.2.2.c: real world data

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AII.2.3: Develop, write and graph (given the point and the slope, two points, or a point and a line) equations of

AII.2.3.a: a parallel line

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AII.2.3.b: a perpendicular line

Point-Slope Form of a Line - Activity A

AII.2.3.c: a perpendicular bisector of a segment

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

AII.2.4: Solve, with and without appropriate technology, absolute value equations and inequalities written in one or two variables, and graph solutions

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

AII.2.5: Solve, with and without appropriate technology, systems of linear equations and systems of linear inequalities with two or more variables through the use of graphs, tables, matrices, and other algebraic methods

Linear Programming - Activity A

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

AII.2.7: Apply, with or without technology, the concepts of linear and absolute value equations and inequalities and systems of linear equations and inequalities to model real world situations including linear programming

Inequalities Involving Absolute Values

Linear Programming - Activity A

Modeling Linear Systems - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Special Types of Solutions to Linear Systems

Systems of Linear Inequalities (Slope-intercept form) - Activity A

AII.3.1: Perform computations with radicals

AII.3.1.a: simplify radicals with different indices

Simplifying Radicals - Activity A

AII.3.1.b: add, subtract, multiply and divide radicals

Operations with Radical Expressions

Simplifying Radicals - Activity A

AII.3.1.d: solve equations that contain radicals or radical expressions

Simplifying Radicals - Activity A

AII.3.2: Extend the number system to include the complex numbers

AII.3.2.c: rationalize denominators

Points in the Complex Plane - Activity A

AII.3.3: Solve quadratic equations with and without appropriate technology by

AII.3.3.a: extracting the square root

Roots of a Quadratic

Square Roots

AII.3.3.b: graphing

AII.3.3.c: factoring

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

AII.3.3.e: using the quadratic formula

AII.3.4: Develop and analyze, with and without appropriate technology, quadratic relations

AII.3.4.a: graph a parabolic relationship when given its equation

Parabolas - Activity A

Quadratics in Factored Form

AII.3.4.b: write an equation when given its roots (zeros or solutions) or graph

Parabolas - Activity A

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AII.3.4.c: determine the nature of the solutions graphically and by evaluating the discriminant

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AII.3.4.d: determine the maximum or minimum values and the axis of symmetry both graphically and algebraically

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Holiday Snowflake Designer

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AII.3.4.e: Apply the concepts of quadratic equations and functions to model real world situations by using appropriate technology when needed

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AII.4.1: Determine the factors of polynomials by

AII.4.1.a: using factoring techniques including grouping and the sum or difference of two cubes

Factoring Special Products

Modeling the Factorization of *x*^{2}+*bx*+*c*

AII.4.1.b: using long division

Dividing Polynomials Using Synthetic Division

Modeling the Factorization of *x*^{2}+*bx*+*c*

AII.4.1.c: using synthetic division

Dividing Polynomials Using Synthetic Division

Modeling the Factorization of *x*^{2}+*bx*+*c*

AII.4.2: Develop and analyze, with and without appropriate technology, polynomial functions from their roots, graphs, or equations

AII.4.2.a: write an equation when given its factors or roots (zeros or solutions)

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Modeling the Factorization of *x*^{2}+*bx*+*c*

Polynomials and Linear Factors

AII.4.2.b: determine the x- and y- intercepts

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Polynomials and Linear Factors

AII.4.2.c: describe the end behaviors

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Polynomials and Linear Factors

AII.4.2.d: sketch the graph

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

AII.4.5: Graph, with and without appropriate technology, rational functions of the form y = 1/x and y = 1/xÂ² and their transformations and identify x- and y- intercepts, domain restrictions, and vertical asymptotes

General Form of a Rational Function

Logarithmic Functions: Translating and Scaling

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

AII.4.6: Solve, with and without appropriate technology, problems using rational equations, including proportions, rate, and variation (direct, inverse(indirect), or joint) and real world problems

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

AII.4.7: Establish the relationship between radical expressions and expressions containing rational exponents

Simplifying Radicals - Activity A

AII.4.8: Simplify variable expressions containing rational exponents using the laws of exponents

Simplifying Radicals - Activity A

AII.5.1: Interpret and graph, with and without appropriate technology, exponential functions

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

AII.5.3: Establish the relationship between exponential and logarithmic functions

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

AII.6.1: Interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for

AII.6.1.a: consistency with the data

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AII.6.1.b: appropriateness of type of graph or data display

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AII.6.2: Calculate, with and without appropriate technology, probabilities of events using the laws of probability

AII.6.2.b: distinguish between and use permutations and combinations

Binomial Probabilities

Permutations

Permutations and Combinations

AII.6.2.d: calculate probabilities of mutually exclusive events, independent events, and dependent events

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

AIII.1.1: Evaluate, add, subtract, multiply, divide and compose functions and determine appropriate domain and range restrictions

Addition and Subtraction of Polynomials

AIII.1.2: Develop, write, and graph, with and without appropriate technology, equations of lines in slope-intercept, point-slope, and standard forms given

AIII.1.2.a: a point and the slope

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AIII.1.2.b: two points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AIII.1.2.c: real world data

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

AIII.1.3: Develop, write, and graph, given a point and the slope, two points, or a point and a line, the equation of

AIII.1.3.a: a parallel line

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

AIII.1.3.b: a perpendicular line

Point-Slope Form of a Line - Activity A

AIII.1.3.c: the perpendicular bisector of a line segment

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

AIII.1.4: Perform computations with radicals

AIII.1.4.a: simplify radicals with different indices

Simplifying Radicals - Activity A

AIII.1.4.b: add, subtract, multiply and divide radicals

Operations with Radical Expressions

Simplifying Radicals - Activity A

AIII.1.5: Solve, with and without appropriate technology, quadratic equations by

AIII.1.5.a: extracting the square root

Roots of a Quadratic

Simplifying Radicals - Activity A

Square Roots

AIII.1.5.b: graphing

Point-Slope Form of a Line - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

AIII.1.5.c: factoring

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

AIII.1.5.e: using the quadratic formula

AIII.1.7: Solve, with and without appropriate technology, systems of linear and quadratic equations and inequalities with two or more variables

Linear Programming - Activity A

Special Types of Solutions to Linear Systems

Systems of Linear Inequalities (Slope-intercept form) - Activity A

AIII.1.8: Apply, with and without appropriate technology the concepts of functions to real world situations including linear programming

Linear Programming - Activity A

AIII.2.1: Determine the factors of polynomials by

AIII.2.1.a: using factoring techniques including grouping, the difference of two squares, and the sum or difference of two cubes

Factoring Special Products

Modeling the Factorization of *x*^{2}+*bx*+*c*

AIII.2.1.b: using synthetic division

Dividing Polynomials Using Synthetic Division

Modeling the Factorization of *x*^{2}+*bx*+*c*

AIII.2.2: Investigate and sketch the graphs of polynomial and rational functions using the characteristics of domain and range, upper and lower bounds, maximum and minimum points, asymptotes and end behavior, zeros, multiplicity of zeros, y-intercepts, and symmetry

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Rational Functions

Translating and Scaling Functions

AIII.2.4: Describe, with and without appropriate technology, the fundamental characteristics of rational functions: zeros, discontinuities (including vertical asymptotes), and end behavior (including horizontal asymptotes)

General Form of a Rational Function

Rational Functions

AIII.2.5: Establish the relationship between radical expressions and expressions containing rational exponents, and simplify variable expressions containing rational exponents using the laws of exponents

Simplifying Radicals - Activity A

AIII.2.6: Apply, with and without appropriate technology, the concepts of polynomial and rational functions to model real world situations

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Rational Functions

AIII.3.1: Establish the inverse relationship between exponential and logarithmic functions

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

AIII.3.4: Find, with and without appropriate technology, the domain, range, intercepts, and asymptotes of logarithmic and exponential functions

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

AIII.3.5: Draw and analyze, with and without appropriate technology, graphs of logarithmic and exponential functions

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

AIII.4.1: Develop, with and without appropriate technology, a representation of sequences recursively and explicitly

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

AIII.4.2: Define and discriminate, with and without appropriate technology, between arithmetic and geometric sequences and series

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

AIII.4.3: Solve, with and without appropriate technology, problems involving the sum (including Sigma notation) of finite and infinite sequences and series

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

AIII.4.4: Determine, with and without appropriate technology, the nth term of a sequence given a rule or specific terms

AIII.5.1: Define sine, cosine, and tangent as ratios of sides of right triangles

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

AIII.5.4: Solve, with and without appropriate technology, real world problems involving applications of

AIII.5.4.a: trigonometric functions

Cosine Function

Sine Function

Tangent Function

Unit Circle

AIII.5.4.d: area of oblique triangles

Perimeter, Circumference, and Area - Activity B

TM.1.1: Identify a linear relationship represented by a table, by a graph, and by symbolic forms

Defining a Line with Two Points

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Using Tables, Rules and Graphs

TM.1.2: Determine the initial condition and the rate of change in real-world situations described by y= mx + b

Defining a Line with Two Points

Direct Variation

Direct and Inverse Variation

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

TM.1.3: Make inferences and predictions using

TM.1.3.a: recursion on the table

Using Tables, Rules and Graphs

TM.1.3.b: inspection on the graph

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

TM.1.3.c: algebraic manipulation on the model

Defining a Line with Two Points

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

TM.2.1: Identify exponential growth or decay by creating tables, graphs, and mathematical models

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

TM.2.2: Compare exponential models

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

TM.2.3: Compare and contrast linear and exponential models

Exponential Functions - Activity A

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

TM.2.4: Make inferences and predictions using

TM.2.4.a: recursion on the table

Exponential Functions - Activity A

Using Tables, Rules and Graphs

TM.2.4.b: inspection of the graph

Exponential Functions - Activity A

Logarithmic Functions: Translating and Scaling

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

TM.2.4.c: algebraic manipulation on the model

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

TM.2.6: Explain, conjecture, summarize, and defend results orally, in writing, and through the use of appropriate technology

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

TM.3.1: Establish connections between tables and graphs and the symbolic form using geometric and algebraic models (quadratic, rational, etc.)

General Form of a Rational Function

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Rational Functions

Roots of a Quadratic

TM.3.3: Make inferences and predictions using

TM.3.3.a: recursion on the table

Linear Functions

Using Tables, Rules and Graphs

TM.3.3.c: algebraic manipulation on the model

TM.3.4: Explain, conjecture, summarize, and defend results orally, in writing, and through the use of appropriate technology

Exponential Growth and Decay - Activity B

TM.4.1: Formulate questions that can be addressed with data and, with appropriate technology, collect, organize, and display relevant data to answer the questions

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

TM.4.2: Describe and summarize data numerically using central tendency variation, position statistics, and distributions

Line Plots

Mean, Median and Mode

TM.4.3: Use counting methods, permutations, and combinations to evaluate the likelihood of events occurring

Binomial Probabilities

Permutations

Permutations and Combinations

TM.4.4: Make inferences and predictions using

TM.4.4.a: recursion on the table

Using Tables, Rules and Graphs

TM.4.4.b: inspection of the graph

Box-and-Whisker Plots

Line Plots

Stem-and-Leaf Plots

PCT.1.1: Investigate and sketch, with and without appropriate technology, the graphs of polynomial and rational functions using the characteristics of domain and range, upper and lower bounds, maximum and minimum points, asymptotes and end behavior, zeros, multipl

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Rational Functions

Translating and Scaling Functions

PCT.1.3: Describe, with and without appropriate technology, the fundamental characteristics of rational functions: zeros, discontinuities (including vertical asymptotes), and end behavior (including horizontal asymptotes)

General Form of a Rational Function

Rational Functions

PCT.1.4: Apply the concepts of polynomial and rational functions to model real world situations using appropriate technology when needed

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Modeling Linear Systems - Activity A

Rational Functions

PCT.2.1: Establish the inverse relationship between exponential and logarithmic functions

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

PCT.2.2: Develop and apply the laws of logarithms and the change-of-base formula to simplify and evaluate expressions

Multiplying Exponential Expressions

PCT.2.4: Find, with and without appropriate technology, the domain, range, intercepts, and asymptotes of logarithmic and exponential functions

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

PCT.2.5: Draw and analyze, with and without appropriate technology, graphs of logarithmic and exponential functions

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

PCT.3.1: Identify, graph, write, and analyze equations of conic sections, using properties such as symmetry, intercepts, foci, asymptotes, and eccentricity, and when appropriate, use technology

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

PCT.3.2: Solve, with and without appropriate technology, systems of equations and inequalities involving conics and other types of equations

Linear Programming - Activity A

Systems of Linear Inequalities (Slope-intercept form) - Activity A

PCT.3.3: Solve, with and without appropriate technology, real world problems involving conic sections

Ellipse - Activity A

Hyperbola - Activity A

PCT.4.1: Develop, with and without appropriate technology, a representation of sequences recursively

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

PCT.4.2: Define and discriminate between arithmetic and geometric sequences and series and use appropriate technology when needed

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

PCT.4.3: Solve, with and without appropriate technology, problems involving the sum (including Sigma notation) of finite and infinite sequences and series

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

PCT.4.4: Determine the nth term of a sequence given a rule or specific terms and use appropriate technology when needed

PCT.5.1: Define the six trigonometric functions as

PCT.5.1.a: circular functions

Cosine Function

Sine Function

Tangent Function

Unit Circle

PCT.5.1.b: ratios of sides of right triangles

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Ratio

PCT.5.3: Sketch an angle in standard position and determine the reference angle and coterminal angles

Cosine Function

Sine Function

Tangent Function

Unit Circle

PCT.5.4: Find the values of the trigonometric functions given the value of one trigonometric function and an additional piece of qualifying information or given the coordinates of a point on the terminal side of an angle

Cosine Function

Sine Function

Tangent Function

Unit Circle

PCT.5.5: Develop and become fluent in the recall of the exact values of the trigonometric functions for special angles

Cosine Function

Sine Function

Tangent Function

Unit Circle

PCT.5.6: Solve, with and without appropriate technology, real world problems involving applications of trigonometric functions

Cosine Function

Sine Function

Tangent Function

PCT.5.7: Graph the six trigonometric functions, identify domain, range, intercepts, period, amplitude, and asymptotes as applicable and use symmetry to determine whether the function is even or odd through appropriate technology when needed

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

PCT.5.8: Determine, with and without appropriate technology, the amplitude, period, phase shift, and vertical shift, and sketch the graph of transformations of the trigonometric functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

PCT.6.3: Determine the area of an oblique triangle by using an appropriate formula and appropriate technology when needed

Classifying Triangles

Perimeter, Circumference, and Area - Activity B

PCT.6.4: Use vectors to solve problems and describe addition of vectors and multiplication of a vector by a scalar, both symbolically and geometrically

PCT.6.5: Use vectors to model situations defined by magnitude and direction and analyze and solve real world problems by using appropriate technology when needed

PCT.7.1: Develop the Pythagorean Identities and use to verify other identities and simplify expressions

Simplifying Trigonometric Expressions

PCT.7.2: Develop and use trigonometric formulas including sum and difference formulas and multiple-angle formulas

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

PCT.8.1: Convert polar coordinates to rectangular coordinates and rectangular coordinates to polar coordinates

Complex Numbers in Polar Form

Points in Polar Coordinates

PCT.8.2: Represent equations given in rectangular coordinates in terms of polar coordinates

Complex Numbers in Polar Form

Points in Polar Coordinates

PCT.8.4: Apply polar coordinates to real world situations and use appropriate technology when needed

Complex Numbers in Polar Form

Points in Polar Coordinates

S.1.1: Create, compare, and evaluate different graphic displays of the same data, using histograms, frequency polygons, cumulative distribution functions, pie charts, scatter plots, stem-and-leaf plots, and box-and-whisker plots and draw these by hand or use a c

Box-and-Whisker Plots

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

S.1.2: Compute and use mean, mode, weighted mean, geometric mean, harmonic mean, range, quartiles, variance, and standard deviation

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

S.2.2: Compare and contrast population and sample, and parameter and statistic

S.2.3: Identify biased sampling methods

S.2.4: Describe simple random sampling

S.2.6: Investigate and describe sampling techniques, such as simple random sampling, stratified sampling, and cluster sampling

S.3.4: Apply concepts of probability to solve familiar and unfamiliar contextual problems

Binomial Probabilities

Geometric Probability - Activity A

S.3.5: Use simulations to develop an understanding of the Central Limit Theorem and its importance in confidence intervals and tests of significance

S.4.1: Summarize distributions of univariate data by determining and interpreting measures of center, spread, position, boxplot, and effects of changing units on summary measures.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

S.4.3: Construct and interpret graphical display of data

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

S.4.4: Compare distributions among sets of data.

S.5.1: Investigate and solve relevant problems, using technology to collect, organize, display, and analyze data in tabular, graphical, and symbolic forms

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

S.5.4: Identify possible correlations between variables in a data set

Correlation

Solving Using Trend Lines

S.5.5: Develop, use, and explain application and limitations of linear models and line of best fit (linear regression) in a variety of contexts

S.5.7: Determine and use measures of central tendency and dispersion to describe and compare sets of data

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

Populations and Samples

S.5.8: Design, conduct, interpret, and justify the results of a probability experiment, sample, or statistical simulation

Geometric Probability - Activity A

Probability Simulations

S.6.1: Understand the counting principle, permutations and combinations and use them to solve problems

Binomial Probabilities

Permutations

Permutations and Combinations

S.6.2: Compare and contrast permutations and combinations

Binomial Probabilities

Permutations

Permutations and Combinations

S.6.3: Calculate the number of permutations of n objects taken r at a time

Permutations

Permutations and Combinations

S.6.4: Calculate the number of combinations of n objects taken r at a time

Binomial Probabilities

Permutations and Combinations

S.6.6: Find conditional probabilities for dependent, independent, and mutually exclusive events

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

S.7.1: Compare and contrast independent and dependent random variables

S.8.2: Understand and use the multiplication rule to calculate probabilities for independent and dependent events

Compound Independent and Dependent Events

Independent and Dependent Events

S.8.3: Develop the binomial distribution within a real world context

S.8.4: Calculate the mean and standard deviation for a binomial variable

Binomial Probabilities

Line Plots

S.8.5: Use the binomial distribution to calculate probabilities associated with experiments for which there are only two possible outcomes

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

S.9.1: Design and conduct an experiment that simulates a binomial distribution.

Binomial Probabilities

Geometric Probability - Activity A

Probability Simulations

S.9.2: Design and conduct an experiment that simulates a geometric distribution.

Geometric Probability - Activity A

Probability Simulations

S.9.3: Simulate probability distributions, including binomial and geometric.

S.11.2: Understand hypothesis tests of means and differences between means and use them to reach a conclusion

S.11.4: Calculate and interpret the correlation coefficient of a set of data

CM.1.1: Analyze and interpret graphs, charts, and tables in the design and implementation of a computer program.

Describing Data Using Statistics

CM.2.2: Implement conditional statements that include if/then, if/then/else, case statements, and Boolean logic.

CM.2.6: Develop recursive relationships from mathematical models (e.g. arithmetic and geometric sequences).

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

CM.4.3: Create, edit, and execute programs to calculate mathematical formulas, such as the quadratic formula, and volume of a simple solid.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Correlation last revised: 10/24/2009