Standard Course of Study

IM.1.01: Develop number sense for the real numbers.

IM.1.01.b: Compare and order.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

IM.2.01: Determine the effect on perimeter, area or volume when one or more dimensions of two- and three-dimensional figures are changed.

Area of Parallelograms - Activity A

Minimize Perimeter

Prisms and Cylinders - Activity A

IM.2.04: Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

IM.2.05: Identify, predict, and describe dilations in the coordinate plane.

IM.3.01: Collect, organize, analyze, and display data (including scatterplots) to solve problems.

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

IM.3.02: Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions.

Correlation

Lines of Best Fit Using Least Squares - Activity A

Scatter Plots - Activity A

Solving Using Trend Lines

IM.4.01: Develop an understanding of function.

IM.4.01.a: Translate among verbal, tabular, graphic, and algebraic representations of functions.

Exponential Functions - Activity A

Introduction to Functions

Linear Functions

Using Tables, Rules and Graphs

IM.4.01.b: Identify relations and functions as linear or nonlinear.

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Using Tables, Rules and Graphs

IM.4.01.c: Find, identify, and interpret the slope (rate of change) and intercepts of a linear relation.

Direct Variation

Direct and Inverse Variation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

IM.4.01.d: Interpret and compare properties of linear functions from tables, graphs, or equations.

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Modeling Linear Systems - Activity A

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

IM.4.02: Write an equation of a linear relationship given: two points, the slope and one point on the line, or the slope and y-intercept.

Defining a Line with Two Points

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

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

IM.4.03: Solve problems using linear equations and inequalities; justify symbolically and graphically.

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

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

IM.4.04: Solve problems using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots, and cubes and cube roots.

Function Machines 3 (Functions and Problem Solving)

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Formulas for any Variable

Solving Two-Step Equations

Square Roots

A1.1.01: Write equivalent forms of algebraic expressions to solve problems.

A1.1.01.a: Apply the laws of exponents.

Dividing Exponential Expressions

Exponents and Power Rules

A1.1.01.b: Operate with polynomials.

Addition of Polynomials - Activity A

A1.1.01.c: Factor polynomials.

Dividing Polynomials Using Synthetic Division

Factoring Special Products

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

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

A1.1.03: Model and solve problems using direct variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

A1.2.01: Find the lengths and midpoints of segments to solve problems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

A1.2.02: Use the parallelism or perpendicularity of lines and segments to solve problems.

Construct Parallel and Perpendicular Lines

A1.4.01: Use linear functions or inequalities to model and solve problems; justify results.

A1.4.01.a: Solve using tables, graphs, and algebraic properties.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Formulas for any Variable

Solving Two-Step Equations

Using Tables, Rules and Graphs

A1.4.01.b: Interpret constants and coefficients in the context of the problem.

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

A1.4.02: Graph, factor, and evaluate quadratic functions to solve problems.

Function Machines 2 (Functions, Tables, and Graphs)

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

A1.4.03: Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify results.

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

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

A1.4.04: Graph and evaluate exponential functions to solve problems.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Function Machines 2 (Functions, Tables, and Graphs)

GE.1.01: Use the trigonometric ratios to model and solve problems involving right triangles.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

GE.1.02: Use length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Area of Parallelograms - Activity A

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

GE.1.03: Use length, area, and volume to model and solve problems involving probability.

Geometric Probability - Activity A

Prisms and Cylinders - Activity A

GE.2.02: Apply properties, definitions, and theorems of angles and lines to solve problems and write proofs.

Investigating Angle Theorems - Activity A

GE.2.03: Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs:

GE.2.03.a: Triangles.

GE.2.03.b: Quadrilaterals.

Classifying Quadrilaterals - Activity B

GE.2.04: Develop and apply properties of solids to solve problems.

Classifying Triangles

Prisms and Cylinders - Activity A

GE.3.01: Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

Dilations

Reflections

Rotations, Reflections and Translations

Translations

A2.1.02: Define and compute with complex numbers.

Points in the Complex Plane - Activity A

A2.1.05: Model and solve problems using direct, inverse, combined and joint variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

A2.2.01: Use the composition and inverse of functions to model and solve problems; justify results.

Function Machines 3 (Functions and Problem Solving)

A2.2.02: Use quadratic functions and inequalities to model and solve problems; justify results.

A2.2.02.a: Solve using tables, graphs, and algebraic properties.

Modeling and Solving Two-Step Equations

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Solving Two-Step Equations

A2.2.02.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

A2.2.03: Use exponential functions to model and solve problems; justify results.

A2.2.03.a: Solve using tables, graphs, and algebraic properties.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

A2.2.03.b: Interpret the constants, coefficients, and bases in the context of the problem.

Correlation

Exponential Functions - Activity A

A2.2.04: Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.

A2.2.04.a: Interpret the constants, coefficients, and bases in the context of the data.

Correlation

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Roots of a Quadratic

A2.2.04.b: Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Roots of a Quadratic

A2.2.05: Use rational equations to model and solve problems; justify results.

A2.2.05.b: Interpret the constants and coefficients in the context of the problem.

A2.2.05.c: Identify the asymptotes and intercepts graphically and algebraically.

Distance-Time Graphs

Hyperbola - Activity A

A2.2.06: Use cubic equations to model and solve problems.

A2.2.06.a: Solve using tables and graphs.

Cubic Function Activity

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

A2.2.06.b: Interpret constants and coefficients in the context of the problem.

Correlation

Cubic Function Activity

A2.2.07: Use equations with radical expressions to model and solve problems; justify results.

A2.2.07.a: Solve using tables, graphs, and algebraic properties.

Functions Involving Square Roots

Radical Functions

Simplifying Radicals - Activity A

A2.2.07.b: Interpret the degree, constants, and coefficients in the context of the problem.

Correlation

Functions Involving Square Roots

Radical Functions

Simplifying Radicals - Activity A

A2.2.08: Use equations and inequalities with absolute value to model and solve problems; justify results.

A2.2.08.a: Solve using tables, graphs, and algebraic properties.

Inequalities Involving Absolute Values

A2.2.08.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Inequalities Involving Absolute Values

A2.2.09: Use the equations of parabolas and circles to model and solve problems; justify results.

A2.2.09.a: Solve using tables, graphs, and algebraic properties.

Circles

Modeling and Solving Two-Step Equations

Parabolas - Activity A

Solving Two-Step Equations

A2.2.09.b: Interpret the constants and coefficients in the context of the problem.

Circles

Correlation

Parabolas - Activity A

A2.2.10: Use systems of two or more equations or inequalities to model and solve problems; justify results. Solve using tables, graphs, matrix operations, and algebraic properties.

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

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

T1.1.01: Apply various techniques and strategies to solve problems.

T1.1.01.b: Identify and represent patterns using appropriate algebraic notation.

Arithmetic and Geometric Sequences

Finding Patterns

T1.2.01: Select and use appropriate tools to measure two- and three-dimensional figures; interpret and communicate results with regard to precision.

Prisms and Cylinders - Activity A

Triple Beam Balance

T1.2.03: Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

T1.2.04: Use the trigonometric ratios to model and solve problems involving right triangles.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

T1.3.02: Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

Dilations

Reflections

Rotations, Reflections and Translations

Translations

T2.1.02: Apply the properties and definitions of plane figures to model and solve problems:

T2.1.02.a: Triangles.

T2.1.02.b: Quadrilaterals.

Classifying Quadrilaterals - Activity B

T2.2.02: Use exponential functions to model and solve problems; justify results.

T2.2.02.a: Solve using tables, graphs, and algebraic properties.

T2.2.02.b: Interpret the constants, coefficients, and bases in the context of the problem.

Exponential Functions - Activity A

T2.2.03: Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.

T2.2.03.a: Interpret the constants, coefficients, and bases in the context of the data.

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Roots of a Quadratic

T2.2.04: Use systems of equations and inequalities to model and solve problems using tables, graphs, matrix operations, and algebraic properties; justify results.

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

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

AF.1.01: Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, and logarithmic functions of bivariate data to solve problems.

AF.1.01.a: Interpret the constants, coefficients, and bases in the context of the data.

Correlation

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

AF.1.01.b: Check models for goodness-of-fit; use the most appropriate model to draw conclusions and make predictions.

Correlation

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

AF.1.02: Summarize and analyze univariate data to solve problems.

AF.1.02.c: Determine measures of central tendency and spread.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

AF.1.02.e: Interpret graphical displays of univariate data.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AF.1.02.f: Compare distributions of univariate data.

AF.1.03: Use theoretical and experimental probability to model and solve problems.

AF.1.03.b: Calculate and apply permutations and combinations.

Binomial Probabilities

Permutations

Permutations and Combinations

AF.1.03.c: Create and use simulations for probability models.

AF.1.03.f: Apply the Binomial Theorem.

AF.2.01: Use logarithmic (common, natural) functions to model and solve problems; justify results.

AF.2.01.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

AF.2.01.b: Interpret the constants, coefficients, and bases in the context of the problem.

Correlation

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

AF.2.02: Use piecewise-defined functions to model and solve problems; justify results.

AF.2.02.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AF.2.02.b: Interpret the constants, coefficients, and bases in the context of the problem.

AF.2.03: Use power functions to model and solve problems; justify results.

AF.2.03.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AF.2.03.b: Interpret the constants, coefficients, and bases in the context of the problem.

AF.2.04: Use trigonometric (sine, cosine) functions to model and solve problems; justify results.

AF.2.04.a: Solve using tables, graphs, and algebraic properties.

Cosine Function

Distance-Time Graphs

Sine Function

Tangent Function

Unit Circle

AF.2.04.b: Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

AF.2.04.c: Develop and use the law of sines and the law of cosines.

Cosine Function

Sine Function

Unit Circle

AF.2.05: Use recursively-defined functions to model and solve problems.

AF.2.05.d: Translate between recursive and explicit representations.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

DM.1.01: Use matrices to model and solve problems.

DM.1.01.a: Display and interpret data.

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

DM.2.01: Describe data to solve problems.

DM.2.01.c: Determine measures of central tendency and spread.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

DM.2.01.e: Interpret graphical displays of data.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

DM.2.01.f: Compare distributions of data.

DM.2.02: Use theoretical and experimental probability to model and solve problems.

DM.2.02.b: Calculate and apply permutations and combinations.

Binomial Probabilities

Permutations

Permutations and Combinations

DM.2.02.c: Create and use simulations for probability models.

DM.2.02.f: Apply the Binomial Theorem.

DM.3.01: Use recursion to model and solve problems.

DM.3.01.d: Write explicit definitions using iterative processes, including finite differences and arithmetic and geometric formulas.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

PC.1.01: Transform relations in two dimensions; describe the results algebraically and geometrically.

Translating and Scaling Functions

PC.1.02: Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.

PC.1.02.a: Solve using tables, graphs, and algebraic properties.

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

PC.1.02.b: Interpret the constants and coefficients in the context of the problem.

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

PC.2.01: Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.

PC.2.01.a: Solve using graphs and algebraic properties.

Distance-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

PC.2.01.b: Interpret the constants, coefficients, and bases in the context of the problem.

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

PC.2.02: Use trigonometric and inverse trigonometric functions to model and solve problems; justify results.

PC.2.02.a: Solve using graphs and algebraic properties.

Cosine Function

Distance-Time Graphs

Sine Function

Tangent Function

PC.2.02.b: Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

PC.2.03: For sets of data, create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions.

PC.2.03.a: Interpret the constants, coefficients, and bases in the context of the data.

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

PC.2.04: Use the composition and inverse of functions to model and solve problems.

Function Machines 3 (Functions and Problem Solving)

PC.2.05: Use polar equations to model and solve problems.

PC.2.05.a: Solve using graphs and algebraic properties.

PC.2.06: Use parametric equations to model and solve problems.

Modeling and Solving Two-Step Equations

PC.2.07: Use recursively-defined functions to model and solve problems.

PC.2.07.d: Translate between recursive and explicit representations.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

I1.1.01: Write equivalent forms of algebraic expressions to solve problems.

I1.1.01.a: Apply the laws of exponents.

Dividing Exponential Expressions

Exponents and Power Rules

I1.1.01.b: Operate with polynomials.

Addition of Polynomials - Activity A

I1.1.01.c: Factor polynomials.

Dividing Polynomials Using Synthetic Division

I1.1.02: Use algebraic expressions, including iterative and recursive forms, to model and solve problems.

Arithmetic and Geometric Sequences

I1.2.01: Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

I1.2.02: Develop and apply properties of solids to solve problems.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

I1.3.02: Use theoretical and experimental probability to model and solve problems.

I1.3.02.b: Calculate and apply permutations and combinations.

Binomial Probabilities

Permutations

Permutations and Combinations

I1.3.02.c: Create and use simulations for probability models.

I1.3.03: Create linear and exponential models, for sets of data, to solve problems.

I1.3.03.a: Interpret the constants, coefficients, and bases in the context of the data.

Correlation

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

I1.3.03.b: Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

Correlation

Exponential Functions - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

I1.4.01: Use linear functions or inequalities to model and solve problems; justify results.

I1.4.01.a: Solve using tables, graphs, and algebraic properties.

Modeling and Solving Two-Step Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

I1.4.01.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

I1.4.02: Use exponential functions to model and solve problems; justify results.

I1.4.02.a: Solve using tables, graphs, and algebraic properties.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

I1.4.02.b: Interpret the constants, coefficients, and bases in the context of the problem.

Correlation

Exponential Functions - Activity A

I1.4.03: Use systems of linear equations or inequalities in two variables to model problems and solve graphically.

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

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

I2.1.03: Model and solve problems using direct variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

I2.2.01: Find the lengths and midpoints of segments to solve problems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

I2.2.03: Use the trigonometric ratios to model and solve problems.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

I2.2.04: Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane in simple algebraic terms.

Dilations

Reflections

Rotations, Reflections and Translations

Translations

I2.3.01: Describe data to solve problems.

I2.3.01.c: Determine measures of central tendency and spread.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

I2.3.01.f: Compare distributions of data.

I2.3.02: Create and use, for sets of data, calculator-generated models of linear, exponential, and quadratic functions to solve problems.

I2.3.02.a: Interpret the constants, coefficients, and bases in the context of the data.

I2.4.01: Use systems of linear equations or inequalities in two variables to model and solve problems. Solve using tables, graphs, and algebraic properties; justify steps used.

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

I2.4.02: Use quadratic functions to model and solve problems; justify results.

I2.4.02.a: Solve using tables, graphs, and algebraic properties.

Linear Inequalities in Two Variables - Activity A

I2.4.02.b: Interpret the constants and coefficients in the context of the problem.

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

I2.4.03: Use power models to solve problems.

I2.4.03.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Linear Inequalities in Two Variables - Activity A

I3.1.02: Use algebraic expressions, including iterative and recursive forms, to model and solve problems.

Arithmetic and Geometric Sequences

I3.1.04: Model and solve problems using direct, inverse, combined and joint variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

I3.2.02: Apply the properties, definitions, and theorems of angles and lines to solve problems and write proofs.

Investigating Angle Theorems - Activity A

I3.2.03: Apply the properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs:

I3.2.03.a: Triangles.

Classifying Triangles

Simplifying Trigonometric Expressions

I3.2.03.b: Quadrilaterals.

Parallelogram Conditions

Simplifying Trigonometric Expressions

I3.2.03.c: Other polygons.

Simplifying Trigonometric Expressions

I3.2.03.d: Circles.

Chords and Arcs

Inscribing Angles

Simplifying Trigonometric Expressions

I3.2.04: Use the law of sines and law of cosines to solve problems.

Cosine Function

Sine Function

Unit Circle

I3.3.01: Use systems of two or more equations or inequalities to model and solve problems; justify results. Solve using tables, graphs, matrix operations, and algebraic properties.

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

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

I3.3.02: Use quadratic functions and inequalities to model and solve problems; justify results.

I3.3.02.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

I3.3.02.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Parabolas - Activity A

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

I3.3.03: Use rational equations to model and solve problems; justify results.

I3.3.03.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

I3.3.03.b: Interpret the constants and coefficients in the context of the problem.

I3.3.03.c: Identify the asymptotes and intercepts graphically and algebraically.

Distance-Time Graphs

Hyperbola - Activity A

I3.3.04: Use equations and inequalities with absolute value to model and solve problems; justify results.

I3.3.04.a: Solve using tables, graphs, and algebraic properties.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Inequalities Involving Absolute Values

I3.3.04.b: Interpret the constants and coefficients in the context of the problem.

Correlation

Inequalities Involving Absolute Values

I3.3.05: Transform functions in two dimensions; describe the results algebraically and geometrically.

Translating and Scaling Functions

I4.1.02: Define and compute with complex numbers.

Points in the Complex Plane - Activity A

I4.2.01: Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.

I4.2.01.a: Solve using tables, graphs, and algebraic properties.

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

I4.2.01.b: Interpret the constants and coefficients in the context of the problem.

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

I4.2.02: Estimate the area and volume of continuously varying quantities.

Prisms and Cylinders - Activity A

I4.3.01: Analyze univariate data to solve problems.

I4.3.01.c: Determine measures of central tendency and spread.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

I4.3.01.e: Interpret graphical displays of distributions of univariate data.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

I4.3.01.f: Compare distributions of univariate data.

I4.3.02: Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions of bivariate data to solve problems.

I4.3.02.a: Interpret the constants, coefficients, and bases in the context of the data.

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

Function Machines 2 (Functions, Tables, and Graphs)

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

I4.4.01: Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.

I4.4.01.a: Solve using graphs and algebraic properties.

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

I4.4.01.b: Interpret the constants, coefficients, and bases in the context of the problem.

Exponential Functions - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

I4.4.02: Use recursively-defined functions to model and solve problems.

I4.4.02.d: Translate between recursive and explicit representations.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

I4.4.03: Use the composition and inverse of functions to model and solve problems.

Function Machines 3 (Functions and Problem Solving)

I4.4.04: Use trigonometric and inverse trigonometric functions to model and solve problems.

I4.4.04.a: Solve using graphs and algebraic properties.

Cosine Function

Sine Function

Tangent Function

I4.4.04.b: Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

Dilations

Reflections

Rotations, Reflections and Translations

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

I4.4.05: Use polar equations to model and solve problems.

I4.4.05.a: Solve using graphs and algebraic properties.

Defining a Line with Two Points

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

I4.4.06: Use parametric equations to model and solve problems.

Modeling and Solving Two-Step Equations

I4.4.07: Find the rate of change at any point of a function.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

AS.1.01: Summarize distributions of univariate data by determining and interpreting measures of center, spread, position, boxplots, and effects of changing units on summary measures.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

AS.2.01: Construct and interpret graphical displays of univariate data.

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

AS.2.02: Compare distributions among sets of univariate data.

AS.3.07: Simulate sampling distributions.

Populations and Samples

Probability Simulations

AS.3.08: Use simulations to develop an understanding of the Central Limit Theorem and its importance in confidence intervals and tests of significance.

AS.4.01: Analyze bivariate data.

AS.4.01.a: Recognize and analyze correlation and linearity.

AC.1.02: Recognize and describe the nature of aberrant behavior caused by asymptotes and unboundedness.

AC.1.02.c: Compare relative magnitudes of functions and their rates of change.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

AC.1.03: Identify and demonstrate an understanding of continuity of functions.

AC.1.03.a: Develop an intuitive understanding of continuity. (Close values of the domain lead to close values of the range.)

Functions Involving Square Roots

AC.2.02: Apply the concept of the derivative at a point.

AC.2.02.c: Find the instantaneous rate of change as the limit of average rate of change.

AC.2.02.d: Approximate a rate of change from graphs and tables of values.

AC.2.03: Interpret the derivative as a function.

AC.2.03.d: Translate between verbal and algebraic descriptions of equations involving derivatives.

Using Algebraic Equations

Using Algebraic Expressions

AC.2.06: Apply the derivative in graphing and modeling contexts.

AC.2.06.d: Use implicit differentiation to find the derivative of an inverse function.

Function Machines 3 (Functions and Problem Solving)

AC.2.06.e: Interpret the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration.

AC.3.01: Explore and interpret the concept of the definite integral.

AC.3.01.a: Compute Riemann sums using left, right, and midpoint evaluation points.

AC.3.01.b: Find the definite integral as a limit of Riemann sums over equal subdivisions.

AC.3.04: Define and use appropriate integrals in a variety of applications.

AC.3.04.c: Set up and use an approximating Riemann sum or trapezoidal sum and represent its limit as a definite integral.

AC.3.04.d: Find the area of a region.

AC.3.04.g: Find the distance traveled by a particle along a line.

Correlation last revised: 11/2/2009

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.