Curriculum Standards

EA.1.3: Apply algebraic methods to solve problems in real-world contexts.

EA.1.5: Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).

Correlation

Solving Equations on the Number Line

Square Roots

Stem-and-Leaf Plots

Using Algebraic Equations

Using Algebraic Expressions

EA.2.1: Exemplify elements of the real number system (including integers, rational numbers, and irrational numbers).

Rational Numbers, Opposites, and Absolute Values

EA.2.2: Apply the laws of exponents and roots to solve problems.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Operations with Radical Expressions

Simplifying Radical Expressions

EA.2.3: Carry out a procedure to perform operations (including multiplication and division) with numbers written in scientific notation.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

EA.2.4: Use dimensional analysis to convert units of measure within a system.

EA.2.5: Carry out a procedure using the properties of real numbers (including commutative, associative, and distributive) to simplify expressions.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

EA.2.7: Carry out a procedure (including addition, subtraction, multiplication, and division by a monomial) to simplify polynomial expressions.

Addition of Polynomials

Dividing Polynomials Using Synthetic Division

EA.2.8: Carry out a procedure to factor binomials, trinomials, and polynomials by using various techniques (including the greatest common factor, the difference between two squares, and quadratic trinomials).

Factoring Special Products

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

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

EA.2.9: Carry out a procedure to perform operations with matrices (including addition, subtraction, and scalar multiplication).

EA.3.1: Classify a relationship as being either a function or not a function when given data as a table, set of ordered pairs, or graph.

Introduction to Functions

Linear Functions

Points, Lines, and Equations

EA.3.3: Carry out a procedure to evaluate a function for a given element in the domain.

Introduction to Functions

Logarithmic Functions

Radical Functions

EA.3.5: Carry out a procedure to graph parent functions (including y = x, y = x², y = the square root of x, y = the absolute value of x, and y = 1/x).

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Exponential Functions

Linear Functions

Radical Functions

Translating and Scaling Functions

EA.3.6: Classify a variation as either direct or inverse.

EA.3.7: Carry out a procedure to solve literal equations for a specified variable.

Area of Triangles

Solving Formulas for any Variable

EA.3.8: Apply proportional reasoning to solve problems.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

EA.4.1: Carry out a procedure to write an equation of a line with a given slope and a y-intercept.

Point-Slope Form of a Line

Standard Form of a Line

EA.4.2: Carry out a procedure to write an equation of a line with a given slope passing through a given point.

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

EA.4.3: Carry out a procedure to write an equation of a line passing through two given points.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope

Standard Form of a Line

EA.4.4: Use a procedure to write an equation of a trend line from a given scatterplot.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

EA.4.5: Analyze a scatterplot to make predictions.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

EA.4.6: Represent linear equations in multiple forms (including point-slope, slope-intercept, and standard).

Linear Inequalities in Two Variables

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Linear Systems (Standard Form)

Standard Form of a Line

EA.4.7: Carry out procedures to solve linear equations for one variable algebraically.

Area of Triangles

Solving Formulas for any Variable

EA.4.8: Carry out procedures to solve linear inequalities for one variable algebraically and then to graph the solution.

Exploring Linear Inequalities in One Variable

Solving Linear Inequalities in One Variable

Systems of Linear Inequalities (Slope-intercept form)

EA.4.9: Carry out a procedure to solve systems of two linear equations graphically.

Cat and Mouse (Modeling with Linear Systems)

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

EA.4.10: Carry out a procedure to solve systems of two linear equations algebraically.

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

EA.5.1: Carry out a procedure to graph a line when given the equation of the line.

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Standard Form of a Line

EA.5.2: Analyze the effects of changes in the slope, m, and the y-intercept, b, on the graph of y = mx + b.

Slope-Intercept Form of a Line

EA.5.3: Carry out a procedure to graph the line with a given slope and a y-intercept.

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

EA.5.4: Carry out a procedure to graph the line with a given slope passing through a given point.

Cat and Mouse (Modeling with Linear Systems)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

EA.5.6: Carry out a procedure to determine the slope of a line from data given tabularly, graphically, symbolically, and verbally.

Cat and Mouse (Modeling with Linear Systems)

Slope

Slope-Intercept Form of a Line

EA.5.7: Apply the concept of slope as a rate of change to solve problems.

Cat and Mouse (Modeling with Linear Systems)

Distance-Time and Velocity-Time Graphs

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

EA.5.11: Analyze given information to write a system of linear equations that models a given problem situation.

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

EA.5.12: Analyze given information to write a linear inequality in one variable that models a given problem situation.

Systems of Linear Inequalities (Slope-intercept form)

EA.6.1: Analyze the effects of changing the leading coefficient a on the graph of y = ax².

EA.6.2: Analyze the effects of changing the constant c on the graph of y = x² + c.

EA.6.3: Analyze the graph of a quadratic function to determine its equation.

Addition and Subtraction of Functions

Parabolas

Translating and Scaling Functions

Zap It! Game

EA.6.4: Carry out a procedure to solve quadratic equations by factoring.

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

Quadratics in Factored Form

IA.1.3: Apply algebraic methods to solve problems in real-world contexts.

IA.1.5: Demonstrate an understanding of algebraic relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).

Solving Equations on the Number Line

Square Roots

Using Algebraic Equations

Using Algebraic Expressions

IA.2.2: Carry out a procedure to solve a system of linear inequalities graphically.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

IA.2.3: Analyze a problem situation to determine a system of linear inequalities that models the problem situation.

Linear Programming

Systems of Linear Inequalities (Slope-intercept form)

IA.2.4: Use linear programming to solve contextual problems involving a system of linear inequalities.

IA.2.7: Carry out a procedure to graph translations of parent functions (including y = x, y = x², y = square root of x, y = absolute value of x, and y = 1/x).

Absolute Value with Linear Functions

General Form of a Rational Function

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translations

Zap It! Game

IA.2.8: Carry out a procedure to graph transformations of parent functions (including y = x, y = x², and y = absolute value of x).

Absolute Value with Linear Functions

Exponential Functions

Quadratics in Vertex Form

Translating and Scaling Functions

Translations

Zap It! Game

IA.2.9: Carry out a procedure to graph discontinuous functions (including piecewise and step functions).

Absolute Value with Linear Functions

IA.2.11: Carry out a procedure to solve a system of equations (including two linear functions and one linear function with one quadratic function).

Solving Equations by Graphing Each Side

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Standard Form)

IA.3.1: Carry out a procedure to simplify expressions involving powers of i.

IA.3.2: Carry out a procedure to perform operations with complex numbers (including addition, subtraction, multiplication, and division).

IA.3.3: Carry out a procedure to solve quadratic equations algebraically (including factoring, completing the square, and applying the quadratic formula).

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

Quadratics in Factored Form

Roots of a Quadratic

IA.3.4: Use the discriminant to determine the number and type of solutions of a quadratic equation.

IA.3.5: Analyze given information (including quadratic models) to solve contextual problems.

Addition and Subtraction of Functions

Quadratics in Polynomial Form

IA.3.6: Carry out a procedure to write an equation of a quadratic function when given its roots.

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

IA.4.1: Carry out a procedure to perform operations (including multiplication, exponentiation, and division) with polynomial expressions.

Addition and Subtraction of Functions

Addition of Polynomials

Dividing Exponential Expressions

Dividing Polynomials Using Synthetic Division

Exponents and Power Rules

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

Multiplying Exponential Expressions

IA.4.2: Carry out a procedure to determine specified points (including zeros, maximums, and minimums) of polynomial functions.

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

IA.4.9: Carry out a procedure to solve radical equations algebraically.

Operations with Radical Expressions

Radical Functions

IA.4.13: Carry out a procedure to graph logarithmic functions.

IA.4.14: Carry out a procedure to graph exponential functions.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

IA.5.1: Carry out a procedure to graph the circle whose equation is the form x² + y² = r².

IA.5.2: Carry out a procedure to write an equation of a circle centered at the origin when given its radius.

IA.5.3: Carry out a procedure to graph the ellipse whose equation is the form (x²/a²) + (y²/b²) = 1.

IA.5.4: Carry out a procedure to write an equation of an ellipse centered at the origin when given information from among length of major axis, length of minor axis, and vertices.

IA.5.5: Carry out a procedure to graph the hyperbola whose equation is the form (x²/a²) - (y²/b²) = 1.

IA.5.6: Carry out a procedure to write an equation of a hyperbola centered at the origin with specified vertices.

IA.5.7: Match the equation of a conic section with its graph.

Circles

Ellipses

Hyperbolas

Parabolas

IA.6.1: Categorize a sequence as arithmetic, geometric, or neither.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IA.6.2: Carry out a procedure to write a specified term of an arithmetic or geometric sequence when given the nth term of the sequence.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IA.6.3: Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four consecutive terms of the sequence.

Arithmetic Sequences

Geometric Sequences

IA.6.4: Carry out a procedure to write a formula for the nth term of an arithmetic or geometric sequence when given at least four terms of the sequence.

Arithmetic Sequences

Geometric Sequences

IA.6.7: Carry out a procedure to determine consecutive terms of a sequence that is defined recursively.

Arithmetic Sequences

Geometric Sequences

IA.6.8: Carry out a procedure to define a sequence recursively when given four or more consecutive terms of the sequence.

Arithmetic Sequences

Geometric Sequences

IA.6.9: Translate between the explicit form and the recursive form of sequences.

Arithmetic Sequences

Geometric Sequences

G.1.3: Apply basic rules of logic to determine the validity of the converse, inverse, and contrapositive of a conditional statement.

Biconditional Statements

Conditional Statements

G.1.10: Demonstrate an understanding of geometric relationships (including constructions through investigations by using a variety of tools such as straightedge, compass, Patty Paper, dynamic geometry software, and handheld computing devices).

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

G.2.2: Apply properties of parallel lines, intersecting lines, and parallel lines cut by a transversal to solve problems.

Constructing Congruent Segments and Angles

Parallel, Intersecting, and Skew Lines

G.2.3: Use the congruence of line segments and angles to solve problems.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

Triangle Angle Sum

G.2.5: Carry out a procedure to create geometric constructions (including the midpoint of a line segment, the angle bisector, the perpendicular bisector of a line segment, the line through a given point that is parallel to a given line, and the line through a given point that is perpendicular to a given line).

3D and Orthographic Views

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Parallel, Intersecting, and Skew Lines

Segment and Angle Bisectors

G.2.6: Use scale factors to solve problems involving scale drawings and models.

Dilations

Perimeters and Areas of Similar Figures

Similar Figures

G.2.7: Use geometric probability to solve problems.

G.3.1: Carry out a procedure to compute the perimeter of a triangle.

Perimeters and Areas of Similar Figures

G.3.2: Carry out a procedure to compute the area of a triangle.

Area of Triangles

Perimeters and Areas of Similar Figures

G.3.4: Apply properties of isosceles and equilateral triangles to solve problems.

Classifying Triangles

Concurrent Lines, Medians, and Altitudes

Isosceles and Equilateral Triangles

Triangle Inequalities

G.3.5: Use interior angles, exterior angles, medians, angle bisectors, altitudes, and perpendicular bisectors to solve problems.

Concurrent Lines, Medians, and Altitudes

Segment and Angle Bisectors

Similarity in Right Triangles

Triangle Angle Sum

G.3.6: Apply the triangle sum theorem to solve problems.

Isosceles and Equilateral Triangles

Polygon Angle Sum

Triangle Angle Sum

G.3.7: Apply the triangle inequality theorem to solve problems.

G.3.8: Apply congruence and similarity relationships among triangles to solve problems.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures

Similarity in Right Triangles

G.3.9: Apply theorems to prove that triangles are either similar or congruent.

Congruence in Right Triangles

Proving Triangles Congruent

Similar Figures

G.3.10: Use the Pythagorean theorem and its converse to solve problems.

Circles

Cosine Function

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine Function

Surface and Lateral Areas of Pyramids and Cones

Tangent Function

G.3.11: Use the properties of 45-45-90 and 30-60-90 triangles to solve problems.

Cosine Function

Sine Function

Tangent Function

G.3.12: Use trigonometric ratios (including sine, cosine, and tangent) to solve problems involving right triangles.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

G.4.1: Carry out a procedure to compute the perimeter of quadrilaterals, regular polygons, and composite figures.

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

G.4.2: Carry out a procedure to find the area of quadrilaterals, regular polygons, and composite figures.

Area of Parallelograms

Area of Triangles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

G.4.3: Apply procedures to compute measures of interior and exterior angles of polygons.

Polygon Angle Sum

Triangle Angle Sum

G.4.4: Analyze how changes in dimensions affect the perimeter or area of quadrilaterals and regular polygons.

Perimeter and Area of Rectangles

G.4.5: Apply the properties and attributes of quadrilaterals and regular polygons and their component parts to solve problems.

Classifying Quadrilaterals

Parallelogram Conditions

Special Parallelograms

G.4.6: Apply congruence and similarity relationships among shapes (including quadrilaterals and polygons) to solve problems.

Constructing Congruent Segments and Angles

Parallelogram Conditions

Perimeters and Areas of Similar Figures

Similarity in Right Triangles

G.5.1: Carry out a procedure to compute the circumference of circles.

Circumference and Area of Circles

G.5.2: Carry out a procedure to compute the area of circles.

Circumference and Area of Circles

G.5.4: Carry out a procedure to compute the length of an arc or the area of a sector of a circle.

G.5.5: Apply the properties of the component parts of a circle (including radii, diameters, chords, sectors, arcs, and segments) to solve problems.

Chords and Arcs

Circles

Inscribed Angles

G.5.7: Apply the properties of central angles, inscribed angles, and arcs of circles to solve problems.

Chords and Arcs

Inscribed Angles

G.6.1: Use the distance formula to solve problems.

G.6.2: Use the midpoint formula to solve problems.

G.6.3: Apply transformations-translation, reflection, rotation, and dilation-to figures in the coordinate plane by using sketches and coordinates.

Dilations

Rotations, Reflections, and Translations

Translations

G.6.4: Apply transformations (including translation and dilation) to figures in the coordinate plane by using matrices.

G.6.5: Carry out a procedure to represent the sum of two vectors geometrically by using the parallelogram method.

G.6.6: Carry out a procedure to determine the magnitude and direction of the resultant of two vectors by using a scale drawing and direct measurement.

G.6.8: Carry out a procedure to determine the direction of the resultant of two perpendicular vectors by using a scale drawing and direct measurement.

G.7.1: Carry out a procedure to compute the surface area of three-dimensional objects (including cones, cylinders, pyramids, prisms, spheres, and hemispheres).

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

G.7.2: Carry out a procedure to compute the volume of three-dimensional objects (including cones, cylinders, pyramids, prisms, spheres, hemispheres, and composite objects).

Prisms and Cylinders

Pyramids and Cones

G.7.4: Apply congruence and similarity relationships among geometric objects to solve problems.

Circles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

G.7.5: Apply a procedure to draw a top view, front view, and side view of a three-dimensional object.

G.7.6: Apply a procedure to draw an isometric view of a three-dimensional object.

PC.1.1: Communicate knowledge of algebraic and trigonometric relationships by using mathematical terminology appropriately.

PC.1.5: Demonstrate an understanding of algebraic and trigonometric relationships by using a variety of representations (including verbal, graphic, numerical, and symbolic).

Function Machines 1 (Functions and Tables)

Points, Lines, and Equations

Square Roots

Using Algebraic Equations

Using Algebraic Expressions

PC.1.6: Understand how algebraic and trigonometric relationships can be represented in concrete models, pictorial models, and diagrams.

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

PC.1.7: Understand how to represent algebraic and trigonometric relationships by using tools such as handheld computing devices, spreadsheets, and computer algebra systems (CASs).

Cosine Function

Sine Function

Sine, Cosine, and Tangent Ratios

Tangent Function

PC.2.1: Carry out a procedure to graph parent functions (including y = x to the nth power, y = log base a of x, y = ln x, y = 1/x, y = e to the x power, y = a to the x power, y = sin x, y = cos x, y = tan x, y = csc x, y = sec x, and y = cot x).

Absolute Value with Linear Functions

Arithmetic Sequences

Compound Interest

Exponential Functions

General Form of a Rational Function

Introduction to Exponential Functions

Linear Functions

Logarithmic Functions

Point-Slope Form of a Line

Rational Functions

Slope-Intercept Form of a Line

Standard Form of a Line

Translating and Scaling Functions

PC.2.2: Carry out a procedure to graph transformations (including -f(x), a * f(x), f(x) + d, f(x - c), f(-x), f(b * x), |f(x)|, and f(|x|)) of parent functions and combinations of transformations.

Translating and Scaling Sine and Cosine Functions

PC.2.3: Analyze a graph to describe the transformation (including -f(x), a * f(x), f(x) + d, f(x - c), f(-x), f(b * x), |f(x)|, and f(|x|)) of parent functions.

Absolute Value with Linear Functions

Exponential Functions

Introduction to Exponential Functions

Quadratics in Vertex Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

Zap It! Game

PC.2.4: Carry out procedures to algebraically solve equations involving parent functions or transformations of parent functions (including y = x to the nth power, y = log base a of x, y = ln x, y = 1/x, y = e to the x power, y = a to the x power, y = sin x, y = cos x, y = tan x, y = csc x, y = sec x, and y = cot x).

PC.2.5: Analyze graphs, tables, and equations to determine the domain and range of parent functions or transformations of parent functions (including y = x to the nth power, y = log base a of x, y = ln x, y = 1/x, y = e to the x power, y = a to the x power, y = sin x, y = cos x, y = tan x, y = csc x, y = sec x, and y = cot x).

Exponential Functions

Logarithmic Functions

PC.2.7: Recognize and use connections among significant points of a function (including roots, maximum points, and minimum points), the graph of a function, and the algebraic representation of a function.

Polynomials and Linear Factors

PC.2.8: Carry out a procedure to determine whether the inverse of a function exists.

Function Machines 3 (Functions and Problem Solving)

Logarithmic Functions

PC.3.1: Carry out a procedure to graph quadratic and higher-order polynomial functions by analyzing intercepts and end behavior.

Addition and Subtraction of Functions

Exponential Functions

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Translating and Scaling Functions

Zap It! Game

PC.3.3: Carry out a procedure to calculate the zeros of polynomial functions when given a set of possible zeros.

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

PC.3.4: Carry out procedures to determine characteristics of rational functions (including domain, range, intercepts, asymptotes, and discontinuities).

General Form of a Rational Function

Rational Functions

PC.3.5: Analyze given information to write a polynomial function that models a given problem situation.

Polynomials and Linear Factors

PC.4.1: Carry out a procedure to graph exponential functions by analyzing intercepts and end behavior.

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

PC.4.2: Carry out a procedure to graph logarithmic functions by analyzing intercepts and end behavior.

PC.4.3: Carry out procedures to determine characteristics of exponential functions (including domain, range, intercepts, and asymptotes).

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

PC.4.4: Carry out procedures to determine characteristics of logarithmic functions (including domain, range, intercepts, and asymptotes).

PC.4.6: Analyze given information to write an exponential function that models a given problem situation.

Exponential Functions

Introduction to Exponential Functions

PC.4.8: Carry out a procedure to solve exponential equations algebraically.

PC.4.9: Carry out a procedure to solve exponential equations graphically.

PC.5.1: Understand how angles are measured in either degrees or radians.

PC.5.2: Carry out a procedure to convert between degree and radian measures.

Cosine Function

Sine Function

Tangent Function

PC.5.4: Carry out a procedure to graph trigonometric functions by analyzing intercepts, periodic behavior, and graphs of reciprocal functions.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions

PC.5.14: Apply trigonometric relationships (including reciprocal identities; Pythagorean identities; even and odd identities; addition and subtraction formulas of sine, cosine, and tangent; and double angle formulas) to verify other trigonometric identities.

Cosine Function

Simplifying Trigonometric Expressions

Sine Function

Sine, Cosine, and Tangent Ratios

Sum and Difference Identities for Sine and Cosine

Tangent Function

PC.6.1: Carry out a procedure to graph the circle whose equation is the form (x-h)² + (y-k)² = r².

PC.6.2: Analyze given information about the center and the radius or the center and the diameter to write an equation of a circle.

PC.6.4: Carry out a procedure to graph the ellipse whose equation is the form (((x-h)²)/a²) + (((y-k)²)/b²) = 1.

PC.6.5: Carry out a procedure to graph the hyperbola whose equation is the form (((x-h)²)/a²) - (((y-k)²)/b²) = 1.

PC.6.6: Carry out a procedure to graph the parabola whose equation is the form y-k = a(x-h)².

DA.1.1: Execute procedures to conduct simple probability experiments and collect data by using manipulatives (including spinners, dice, cards, and coins).

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

DA.1.2: Execute procedures to find measures of probability and statistics by using tools such as handheld computing devices, spreadsheets, and statistical software.

Probability Simulations

Theoretical and Experimental Probability

DA.1.4: Design and conduct a statistical research project and produce a report that summarizes the findings.

Box-and-Whisker Plots

Describing Data Using Statistics

Stem-and-Leaf Plots

DA.1.5: Apply the principles of probability and statistics to solve problems in real-world contexts.

Estimating Population Size

Theoretical and Experimental Probability

DA.1.6: Communicate a knowledge of data analysis and probability by using mathematical terminology appropriately.

Polling: City

Probability Simulations

Theoretical and Experimental Probability

DA.2.1: Classify a data-collection procedure as a survey, an observational study, or a controlled experiment.

Correlation

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

DA.2.2: Compare various random sampling techniques (including simple, stratified, cluster, and systematic).

Polling: Neighborhood

Populations and Samples

DA.2.3: Analyze a data-collection procedure to classify the technique used as either simple cluster, systematic, or convenience sampling.

Describing Data Using Statistics

DA.2.5: Judge which of two or more possible experimental designs will best answer a given research question.

DA.2.6: Generate a research question and design a statistical study to answer a given research question.

Correlation

Polling: Neighborhood

DA.3.1: Use manipulatives, random number tables, and technology to collect data and conduct experiments and simulations.

Binomial Probabilities

Describing Data Using Statistics

Geometric Probability

Independent and Dependent Events

DA.3.2: Organize and interpret data by using pictographs, bar graphs, pie charts, dot plots, histograms, time-series plots, stem-and-leaf plots, box-and-whiskers plots, and scatterplots.

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Forest Ecosystem

Histograms

Least-Squares Best Fit Lines

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

DA.3.3: Select appropriate graphic display(s) from among pictographs, bar graphs, pie charts, dot plots, histograms, time-series plots, stem-and-leaf plots, box-and-whiskers plots, and scatterplots when given a data set or problem situation.

Box-and-Whisker Plots

Forest Ecosystem

Histograms

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

DA.3.4: Represent frequency distributions by using displays such as categorical frequency distributions/Pareto charts, histograms, frequency polygons, and cumulative frequency distributions/ogives.

Histograms

Polling: City

Populations and Samples

Real-Time Histogram

DA.3.6: Classify graphically and analytically the correlation between two variables as either positive, negative, or zero.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

DA.3.7: Carry out a procedure to determine an equation of a trend line for a scatterplot exhibiting a linear pattern by using visual approximation.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

DA.3.8: Carry out a procedure using technology to determine a line of best fit for a scatterplot exhibiting a linear pattern.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

DA.3.9: Explain the meaning of the correlation coefficient r.

DA.4.4: Use procedures and/or technology to find measures of central tendency (mean, median, and mode) for given data.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

DA.4.6: Use procedures and/or technology to find measures of spread (range, variance, standard deviation, and interquartile range) and outliers for given data.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

DA.4.7: Use procedures and/or technology to find measures of position (including median, quartiles, percentiles, and standard scores) for given data.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Polling: City

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

DA.4.10: Use a knowledge of the empirical rule to solve problems involving data that are distributed normally.

Populations and Samples

Real-Time Histogram

DA.5.1: Construct a sample space for an experiment and represent it as a list, chart, picture, or tree diagram.

Binomial Probabilities

Permutations and Combinations

DA.5.2: Use counting techniques to determine the number of possible outcomes for an event.

DA.5.3: Classify events as either dependent or independent.

Independent and Dependent Events

DA.5.6: Use the binomial probability distribution to solve problems.

DA.5.7: Carry out a procedure to compute simple probabilities and compound probabilities (including conditional probabilities).

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

DA.5.8: Use a procedure to find geometric probability in real-world contexts.

DA.5.9: Compare theoretical and experimental probabilities.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

DA.5.10: Construct and compare theoretical and experimental probability distributions.

Geometric Probability

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

DA.5.12: Understand the law of large numbers.

Theoretical and Experimental Probability

Correlation last revised: 4/4/2018