Course of Study

A.1.1: Applying laws of exponents to simplify expressions, including those containing zero and negative integral exponents

Dividing Exponential Expressions

Exponents and Power Rules

A.2.1: Finding the slope of a line from its equation or by applying the slope formula

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

A.2.2: Determining the equations of linear functions given two points, a point and the slope, tables of values, graphs, or ordered pairs

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

A.2.3: Graphing two-variable linear equations and inequalities on the Cartesian plane

Defining a Line with Two Points

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - 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

Standard Form of a Line

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

A.3.1: Finding the range of a function when given its domain

Functions Involving Square Roots

A.4.1: Identifying situations that are modeled by common relations, including x = constant, y = constant, y = x, y = square root of x , y = x², and y = |x|

Functions Involving Square Roots

Introduction to Functions

Linear Functions

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Roots of a Quadratic

A.5.1: Dividing by a monomial

Dividing Polynomials Using Synthetic Division

A.7.1: Writing the solution of an equation or inequality in set notation

Inequalities Involving Absolute Values

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

A.7.2: Graphing the solution of an equation or inequality

Defining a Line with Two Points

Ellipse - Activity A

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - 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

Standard Form of a Line

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

A.7.3: Modeling real-world problems by developing and solving equations and inequalities, including those involving direct and inverse variation

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

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

A.8.1: Modeling real-world problems by developing and solving systems of linear equations and inequalities

Linear Programming - Activity A

Modeling Linear Systems - Activity A

Special Types of Solutions to Linear Systems

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

A.9.1: Approximating solutions graphically and numerically

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

A.10.1: Deriving the distance, midpoint, and slope formulas

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Slope - Activity B

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

A.15.1: Comparing theoretical and experimental probabilities

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

Point-Slope Form of a Line - Activity A

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Investigating Angle Theorems - Activity A

G.3.1: Determining the missing lengths of sides or measures of angles in similar polygons

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

G.4.1: Verifying the formulas for the measures of interior and exterior angles of polygons inductively and deductively

Biconditional Statement

Conditional Statement

Triangle Angle Sum - Activity A

G.5.1: Determining the equation of a circle given its center and radius

Circles

Defining a Line with Two Points

Ellipse - Activity A

Percent of Change

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Parabolas - Activity A

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Simplifying Radicals - Activity A

G.7.1: Deriving the ratios of the sides of 30-60-90 and 45-45-90 triangles

Perimeters and Areas of Similar Figures

G.8.1: Determining the geometric mean to find missing lengths in right triangles

Circle: Circumference and Area

Classifying Triangles

Cosine Function

Perimeter, Circumference, and Area - Activity B

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Unit Circle

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

Triple Beam Balance

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Perimeter, Circumference, and Area - Activity B

Perimeters and Areas of Similar Figures

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Similar Figures - Activity A

Similar Polygons

Slope - Activity B

Dilations

Reflections

Rotations, Reflections and Translations

Translations

Using Tables, Rules and Graphs

G.14.1: Identifying Euclidean solids

Binomial Probabilities

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

G.16.1: Developing formulas for surface area and volume of spheres, cones, and pyramids

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Pyramids and Cones

G.16.2: Calculating specific missing dimensions of solid figures from surface area or volume

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

G.16.3: Determining the relationship between the surface areas of similar figures and volumes of similar figures

Perimeters and Areas of Similar Figures

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

G.17.1: Distinguishing between conclusions drawn when using deductive and statistical reasoning

Biconditional Statement

Conditional Statement

G.17.2: Calculating probabilities arising in geometric contexts

Geometric Probability - Activity A

Geometric Probability - Activity A

Probability Simulations

G.1.1: Generating, manually or with technological tools, graphs and tables related to personal finance and economics

Holiday Snowflake Designer

Reflections

Rotations, Reflections and Translations

Points in the Complex Plane - Activity A

Absolute Value of a Complex Number

Points in the Complex Plane - Activity A

AII.3.1: Identifying the domain and range of a relation given its graph, a table of values, or its equation, including those with restricted domains

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Functions Involving Square Roots

Introduction to Functions

Logarithmic Functions: Translating and Scaling

Using Tables, Rules and Graphs

AII.4.1: Using completing the square, the zero product property, and the quadratic formula

AII.5.1: Writing an equation when given its roots or graph

Ellipse - Activity A

Polynomials and Linear Factors

Roots of a Quadratic

AII.5.3: Determining the nature of the solutions of a quadratic equation

AII.5.4: Determining the maximum or minimum values of quadratic functions both graphically and algebraically

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AII.6.2: Performing operations on polynomial and rational expressions containing variables

Addition of Polynomials - Activity A

Dividing Exponential Expressions

AII.7.2: Expressing the solution of an equation, inequality, or applied problem as a graph on a number line or by using set or interval notation

Compound Inequalities

Inequalities Involving Absolute Values

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.11.1: Examining data to determine if a linear or quadratic relationship exists and to predict outcomes

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AII.12.1: Using permutations and combinations to calculate probabilities

Binomial Probabilities

Permutations

Permutations and Combinations

AII.12.3: Calculating probabilities of mutually exclusive events, independent events, and dependent events

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Points in the Complex Plane - Activity A

Absolute Value of a Complex Number

Points in the Complex Plane - Activity A

AIIT.3.1: Identifying the domain and range of a relation given its graph, a table of values, or its equation, including those with restricted domains

Cosine Function

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Functions Involving Square Roots

General Form of a Rational Function

Introduction to Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Radical Functions

Rational Functions

Sine Function

Tangent Function

Using Tables, Rules and Graphs

AIIT.4.1: Using the zero product property, completing the square, and the quadratic formula

Polynomials and Linear Factors

Roots of a Quadratic

AIIT.4.2: Deriving the quadratic formula

AIIT.5.1: Generating an equation when given its roots or graph

Circles

Ellipse - Activity A

Hyperbola - Activity A

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

AIIT.5.3: Determining the maximum or minimum values of quadratic functions both graphically and algebraically

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AIIT.6.2: Performing operations on polynomial and rational expressions containing variables

Addition of Polynomials - Activity A

Dividing Exponential Expressions

AIIT.6.3: Constructing graphs by analyzing their functions as sums, differences, or products

Addition and Subtraction of Polynomials

Exponential Functions - Activity A

Introduction to Functions

Linear Functions

Logarithmic Functions: Translating and Scaling

Using Tables, Rules and Graphs

AIIT.7.1: Solving equations using laws of exponents, including rational and irrational exponents

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

AIIT.7.2: Expressing the solution of an equation, inequality, or applied problem as a graph on a number line or by using set or interval notation

Compound Inequalities

Inequalities Involving Absolute Values

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

AIIT.9.1: Determining period and amplitude of sine, cosine, and tangent functions from graphs or basic equations

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

AIIT.9.2: Determining specific unit circle coordinates associated with special angles

Cosine Function

Sine Function

Tangent Function

Unit Circle

AIIT.10.2: Determining area of oblique triangles

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Simplifying Trigonometric Expressions

AIIT.14.1: Examining data to determine if a linear, quadratic, or exponential relationship exists and to predict outcomes

Exponential Functions - Activity A

Linear Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

AIIT.15.1: Using permutations and combinations to calculate probabilities

Binomial Probabilities

Permutations

Permutations and Combinations

AIIT.15.2: Calculating conditional probability

AIIT.15.3: Calculating probabilities of mutually exclusive events, independent events, and dependent events

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Linear Programming - Activity A

AIII.3.1: Determining equations of conic sections from their graphs

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Quadratics in Factored Form

AIII.4.1: Approximating zeros using Descartes’ Rule of Signs and the bisection method

Polynomials and Linear Factors

AIII.4.2: Describing the end behavior of a polynomial function given its degree and leading coefficient

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Linear Programming - Activity A

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

Complex Numbers in Polar Form

Points in Polar Coordinates

Using Tables, Rules and Graphs

Box-and-Whisker Plots

Correlation

Histograms

Lines of Best Fit Using Least Squares - Activity A

Populations and Samples

Solving Using Trend Lines

Stem-and-Leaf Plots

AIII.10.1: Defining vocabulary associated with probability and statistics, including descriptive and inferential statistics

Binomial Probabilities

Geometric Probability - Activity A

AIII.10.2: Comparing descriptive statistics for samples of varying sizes generated by simulation

Populations and Samples

Probability Simulations

AIII.11.1: Testing a hypothesis by displaying a scatterplot of experimental data, determining the regression coefficient and equation, and determining the correlation coefficient

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

AIII.14.1: Comparing the terms of a binomial expansion to the terms of a binomial probability distribution

P.3.1: Formulating equations of conic sections from their determining characteristics

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

P.5.1: Determining the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

P.7.1: Verifying trigonometric identities

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

P.9.1: Determining characteristics of arithmetic and geometric sequences and series, including those defined with recurrence relations, first terms, common differences or ratios, n th terms, limits, or statements of convergence or divergence

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

P.11.1: Graphing simple polar equations in the polar coordinate plane

Complex Numbers in Polar Form

Points in Polar Coordinates

P.11.2: Graphing polar coordinates and complex numbers

Complex Numbers in Polar Form

Points in Polar Coordinates

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Correlation last revised: 11/30/2009