Academic Standards

A1.1.2: Simplify square roots using factors.

A1.2.1: Solve linear equations.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

A1.2.2: Solve equations and formulas for a specified variable.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Using Algebraic Equations

A1.2.3: Find solution sets of linear inequalities when possible numbers are given for the variable.

Inequalities Involving Absolute Values

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

A1.2.4: Solve linear inequalities using properties of order.

Linear Inequalities in Two Variables - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

A1.2.5: Solve combined linear inequalities.

Linear Inequalities in Two Variables - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

A1.3.1: Sketch a reasonable graph for a given relationship.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

A1.3.3: Understand the concept of a function, decide if a given relation is a function, and link equations to functions.

Introduction to Functions

Linear Functions

Using Algebraic Equations

A1.3.4: Find the domain and range of a relation.

A1.4.1: Graph a linear equation.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Standard Form of a Line

A1.4.2: Find the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the 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

A1.4.3: Write the equation of a line in slope-intercept form. Understand how the slope and y-intercept of the graph are related to the equation.

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

Using Tables, Rules and Graphs

A1.4.4: Write the equation of a line given appropriate information.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Standard Form of a Line

A1.4.5: Write the equation of a line that models a data set and use the equation (or the graph of the equation) to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.

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 - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

A1.4.6: Graph a linear inequality in two variables.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

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

A1.5.1: Use a graph to estimate the solution of a pair of linear equations in two variables.

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

A1.5.2: Use a graph to find the solution set of a pair of linear inequalities in two variables.

Linear Programming - Activity A

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

A1.5.4: Understand and use the addition or subtraction method to solve a pair of linear equations in two variables.

Special Types of Solutions to Linear Systems

A1.5.5: Understand and use multiplication with the addition or subtraction method to solve a pair of linear equations in two variables.

Special Types of Solutions to Linear Systems

A1.5.6: Use pairs of linear equations to solve word problems.

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

A1.6.1: Add and subtract polynomials.

Addition of Polynomials - Activity A

A1.6.2: Multiply and divide monomials.

Dividing Exponential Expressions

Multiplying Exponential Expressions

Simplifying Radicals - Activity A

A1.6.4: Multiply polynomials.

Polynomials and Linear Factors

A1.6.5: Divide polynomials by monomials.

Dividing Polynomials Using Synthetic Division

A1.6.6: Find a common monomial factor in a polynomial.

Factoring Special Products

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

A1.6.7: Factor the difference of two squares and other quadratics.

A1.6.8: Understand and describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.

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

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

A1.7.1: Simplify algebraic ratios.

Estimating Population Size

Part:Part and Part:Whole Ratios

Polling: Neighborhood

A1.7.2: Solve algebraic proportions.

A1.8.1: Graph quadratic, cubic, and radical equations.

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

A1.8.2: Solve quadratic equations by factoring.

Factoring Special Products

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

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

A1.8.3: Solve quadratic equations in which a perfect square equals a constant.

A1.8.5: Derive the quadratic formula by completing the square.

A1.8.6: Solve quadratic equations by using the quadratic formula.

A1.8.8: Solve equations that contain radical expressions.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Simplifying Radicals - Activity A

Solving Two-Step Equations

A2.1.1: Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Rational Functions

A2.1.2: Use function notation. Add, subtract, multiply, and divide pairs of functions.

Addition and Subtraction of Polynomials

A2.1.4: Graph relations and functions with and without graphing technology.

Exponential Functions - Activity A

Introduction to Functions

Linear Functions

Logarithmic Functions: Translating and Scaling

A2.1.5: Find the zeros of a function.

Polynomials and Linear Factors

A2.1.6: Solve an inequality by examining the graph.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

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

A2.1.8: Interpret given situations as functions in graphs, formulas, and words.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Introduction to Functions

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

Using Tables, Rules and Graphs

A2.2.1: Graph absolute value equations and inequalities.

Defining a Line with Two Points

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

Standard Form of a Line

A2.2.2: Use substitution, elimination, and matrices to solve systems of two or three linear equations in two or three variables.

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

A2.2.3: Use systems of linear equations and inequalities to solve word problems.

Linear Programming - Activity A

Modeling Linear Systems - Activity A

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

A2.3.2: Understand how real and complex numbers are related, including plotting complex numbers as points in the plane.

Points in the Complex Plane - Activity A

A2.3.3: Solve quadratic equations in the complex number system.

A2.3.4: Graph quadratic functions. Apply transformations to quadratic functions. Find and interpret the zeros and maximum or minimum value of quadratic 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 Quadratic Function

Roots of a Quadratic

Translating and Scaling Functions

A2.3.6: Solve equations that contain radical expressions.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Simplifying Radicals - Activity A

Solving Two-Step Equations

A2.3.7: Solve pairs of equations, one quadratic and one linear, or both quadratic.

Modeling and Solving Two-Step Equations

Roots of a Quadratic

Solving Equations By Graphing Each Side

Solving Two-Step Equations

A2.4.1: Write the equations of conic sections (circle, ellipse, parabola, and hyperbola).

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

A2.4.2: Graph conic sections.

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Quadratics in Factored Form

A2.5.2: Divide polynomials by others of lower degree.

Dividing Polynomials Using Synthetic Division

A2.5.3: Factor polynomials completely and solve polynomial equations by factoring.

Dividing Polynomials Using Synthetic Division

Factoring Special Products

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

A2.5.7: Understand and describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.

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

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

A2.6.2: Add, subtract, multiply, divide, and simplify algebraic fractions.

Fractions with Unlike Denominators

A2.6.4: Solve equations involving algebraic fractions.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

A2.6.5: Solve word problems involving fractional equations.

A2.6.6: Solve problems of direct, inverse, and joint variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

A2.7.1: Graph exponential functions.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

A2.7.4: Solve logarithmic and exponential equations and inequalities.

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

A2.7.8: Solve word problems involving applications of exponential functions to growth and decay.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

A2.8.1: Define arithmetic and geometric sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

A2.8.2: Find specified terms of arithmetic and geometric sequences.

A2.8.4: Solve word problems involving applications of sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

A2.9.1: Understand and apply counting principles to compute combinations and permutations.

Binomial Probabilities

Permutations

Permutations and Combinations

A2.9.2: Use the basic counting principle, combinations, and permutations to compute probabilities.

Binomial Probabilities

Permutations

Permutations and Combinations

C.1.1: Understand the concept of limit and estimate limits from graphs and tables of values.

Using Tables, Rules and Graphs

C.1.4: Find limits of rational functions that are undefined at a point.

General Form of a Rational Function

Rational Functions

C.1.11: Find the types of discontinuities of a function.

Functions Involving Square Roots

C.3.10: Find average and instantaneous rates of change. Understand the instantaneous rate of change as the limit of the average rate of change. Interpret a derivative as a rate of change in applications, including velocity, speed, and acceleration.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

C.3.11: Find the velocity and acceleration of a particle moving in a straight line.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

C.4.2: Calculate the values of Riemann Sums over equal subdivisions using left, right, and midpoint evaluation points.

C.4.3: Interpret a definite integral as a limit of Riemann Sums.

C.4.8: Understand and use Riemann Sums, the Trapezoidal Rule, and technology to approximate definite integrals of functions represented algebraically, geometrically, and by tables of values.

C.5.1: Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions, and applications to motion along a line.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

C.5.7: Apply integration to model and solve problems in physics, biology, economics, etc., using the integral as a rate of change to give accumulated change and using the method of setting up an approximating Riemann Sum and representing its limit as a definite integral.

DM.1.1: Use networks, traceable paths, tree diagrams, Venn diagrams, and other pictorial representations to find the number of outcomes in a problem situation.

Binomial Probabilities

Permutations

Permutations and Combinations

DM.1.3: Use combinatorial reasoning to solve problems.

Binomial Probabilities

Permutations and Combinations

Binomial Probabilities

Geometric Probability - Activity A

Probability Simulations

DM.2.1: Use matrices to organize and store data.

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

DM.3.1: Use recursive thinking to solve problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

DM.3.2: Use finite differences to solve problems.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

G.1.1: Find the lengths and midpoints of line segments in one- or two-dimensional coordinate systems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

G.1.2: Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass, explaining and justifying the process used.

Construct Parallel and Perpendicular Lines

G.1.3: Understand and use the relationships between special pairs of angles formed by parallel lines and transversals.

Investigating Angle Theorems - Activity A

G.1.4: Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Point-Slope Form of a Line - Activity A

Slope - Activity B

G.2.2: Find measures of interior and exterior angles of polygons, justifying the method used.

Triangle Angle Sum - Activity A

G.2.3: Use properties of congruent and similar polygons to solve problems.

Classifying Triangles

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.2.4: Apply transformations (slides, flips, turns, expansions, and contractions) to polygons in order to determine congruence, similarity, symmetry, and tessellations. Know that images formed by slides, flips and turns are congruent to the original shape.

Dilations

Holiday Snowflake Designer

Perimeters and Areas of Similar Figures

Reflections

Rotations, Reflections and Translations

Similar Figures - Activity A

Similar Polygons

Translations

G.2.5: Find and use measures of sides, perimeters, and areas of polygons, and relate these measures to each other using formulas.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

G.2.6: Use coordinate geometry to prove properties of polygons such as regularity, congruence, and similarity.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.3.1: Describe, classify, and understand relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite.

Classifying Quadrilaterals - Activity B

Parallelogram Conditions

Special Quadrilaterals

G.3.2: Use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas.

Area of Parallelograms - Activity A

Classifying Quadrilaterals - Activity B

Congruence in Right Triangles

Perimeter, Circumference, and Area - Activity B

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.3.3: Find and use measures of sides, perimeters, and areas of quadrilaterals, and relate these measures to each other using formulas.

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

G.3.4: Use coordinate geometry to prove properties of quadrilaterals such as regularity, congruence, and similarity.

Classifying Quadrilaterals - Activity B

Congruence in Right Triangles

Parallelogram Conditions

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

Special Quadrilaterals

G.4.1: Identify and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.

Classifying Triangles

Isosceles and Equilateral Triangles

Pythagorean Theorem - Activity B

Triangle Angle Sum - Activity A

G.4.2: Define, identify, and construct altitudes, medians, angle bisectors, and perpendicular bisectors.

Concurrent Lines, Medians, and Altitudes

G.4.3: Construct triangles congruent to given triangles.

Congruence in Right Triangles

Proving Triangles Congruent

G.4.4: Use properties of congruent and similar triangles to solve problems involving lengths and areas.

Congruence in Right Triangles

Perimeter, Circumference, and Area - Activity B

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.4.5: Prove and apply theorems involving segments divided proportionally.

Estimating Population Size

Perimeters and Areas of Similar Figures

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.4.7: Find and use measures of sides, perimeters, and areas of triangles, and relate these measures to each other using formulas.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

G.4.8: Prove, understand, and apply the inequality theorems: triangle inequality, inequality in one triangle, and hinge theorem.

G.4.9: Use coordinate geometry to prove properties of triangles such as regularity, congruence, and similarity.

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

G.5.1: Prove and use the Pythagorean Theorem.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

G.5.2: State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.

G.5.4: Define and use the trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) in terms of angles of right triangles.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

G.5.5: Know and use the relationship sin²x + cos²x = 1.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

G.5.6: Solve word problems involving right triangles.

G.6.2: Define and identify relationships among: radius, diameter, arc, measure of an arc, chord, secant, and tangent.

G.6.3: Prove theorems related to circles.

Chords and Arcs

Inscribing Angles

G.6.5: Define, find, and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents).

Chords and Arcs

Inscribing Angles

G.6.6: Define and identify congruent and concentric circles.

Congruence in Right Triangles

Proving Triangles Congruent

G.6.7: Define, find, and use measures of circumference, arc length, and areas of circles and sectors. Use these measures to solve problems.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

G.6.8: Find the equation of a circle in the coordinate plane in terms of its center and radius.

G.7.2: Describe the polyhedron that can be made from a given net (or pattern). Describe the net for a given polyhedron.

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

G.7.4: Describe symmetries of geometric solids.

Holiday Snowflake Designer

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

G.7.5: Describe sets of points on spheres: chords, tangents, and great circles.

G.7.6: Identify and know properties of congruent and similar solids.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

G.7.7: Find and use measures of sides, volumes of solids, and surface areas of solids, and relate these measures to each other using formulas.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

PC.1.1: Recognize and graph various types of functions, including polynomial, rational, algebraic, and absolute value functions. Use paper and pencil methods and graphing calculators.

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Quadratic and Absolute Value Functions

Rational Functions

Translating and Scaling Functions

PC.1.2: Find domain, range, intercepts, zeros, asymptotes, and points of discontinuity of functions. Use paper and pencil methods and graphing calculators.

Functions Involving Square Roots

Introduction to Functions

Polynomials and Linear Factors

PC.1.3: Model and solve word problems using functions and equations.

Linear Functions

Using Algebraic Equations

PC.1.5: Describe the symmetry of the graph of a function.

Cosine Function

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Sine Function

Tangent Function

PC.1.7: Apply transformations to functions.

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

PC.1.10: Write the equations of conic sections in standard form (completing the square and using translations as necessary), in order to find the type of conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.).

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

Rotations, Reflections and Translations

Translations

PC.2.1: Solve word problems involving applications of logarithmic and exponential functions.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

PC.2.2: Find 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

PC.2.3: Draw and analyze graphs of logarithmic and exponential functions.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

PC.2.4: Define, find, and check inverse functions of logarithmic and exponential functions.

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

PC.3.1: Solve word problems involving right and oblique triangles.

PC.3.3: Find the area of a triangle given two sides and the angle between them.

Isosceles and Equilateral Triangles

Perimeter, Circumference, and Area - Activity B

Triangle Angle Sum - Activity A

PC.4.1: Define sine and cosine using the unit circle.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Unit Circle

PC.4.3: Learn exact sine, cosine, and tangent values for 0, pi/2, pi/3, pi/4, pi/6, and multiples of pi. Use those values to find other trigonometric values.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Unit Circle

PC.4.4: Solve word problems involving applications of trigonometric functions.

Cosine Function

Sine Function

Tangent Function

Unit Circle

PC.4.5: Define and graph trigonometric functions (i.e., sine, cosine, tangent, cosecant, secant, cotangent).

Cosine Function

Sine Function

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Translating and Scaling Functions

Unit Circle

PC.4.6: Find domain, range, intercepts, periods, amplitudes, and asymptotes of trigonometric functions.

Functions Involving Square Roots

PC.4.7: Draw and analyze graphs of translations of trigonometric functions, including period, amplitude, and phase shift.

Functions Involving Square Roots

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

PC.4.9: Find values of trigonometric and inverse trigonometric functions.

Cosine Function

Sine Function

Tangent Function

PC.4.10: Know that the tangent of the angle that a line makes with the x-axis is equal to the slope of the line.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Slope - Activity B

Tangent Function

Tangent Ratio

PC.4.11: Make connections between right triangle ratios, trigonometric functions, and circular functions.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Unit Circle

PC.5.1: Know the basic trigonometric identity cos²x + sin²x = 1 and prove that it is equivalent to the Pythagorean Theorem.

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity B

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

PC.5.2: Use basic trigonometric identities to verify other identities and simplify expressions.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

PC.5.3: Understand and use the addition formulas for sines, cosines, and tangents.

Cosine Function

Sine Function

Sine, Cosine and Tangent

Sum and Difference Identities for Sine and Cosine

Tangent Function

Tangent Ratio

Unit Circle

PC.5.4: Understand and use the half-angle and double-angle formulas for sines, cosines, and tangents.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Sum and Difference Identities for Sine and Cosine

Tangent Function

Tangent Ratio

Unit Circle

PC.6.1: Define polar coordinates and relate polar coordinates to Cartesian coordinates.

PC.6.2: Represent equations given in rectangular coordinates in terms of polar coordinates.

PC.6.3: Graph equations in the polar coordinate plane.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Points in Polar Coordinates

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

PC.6.4: Define complex numbers, convert complex numbers to trigonometric form, and multiply complex numbers in trigonometric form.

PC.7.3: Prove and use the sum formulas for arithmetic series and for finite and infinite geometric series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

PC.7.4: Use recursion to describe a sequence.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

PC.7.6: Solve word problems involving applications of sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

PC.8.1: Find linear models using the median fit and least squares regression methods. Decide which model gives a better fit.

Correlation

Solving Using Trend Lines

PC.8.2: Calculate and interpret the correlation coefficient. Use the correlation coefficient and residuals to evaluate a “best-fit” line.

PC.8.3: Find a quadratic, exponential, logarithmic, power, or sinusoidal function to model a data set and explain the parameters of the model.

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

PS.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. Draw these by hand or use a computer spreadsheet program.

Box-and-Whisker Plots

Correlation

Histograms

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

PS. 1.2: Compute and use mean, median, 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

PS.2.1: Understand the counting principle, permutations, and combinations, and use them to solve problems.

Binomial Probabilities

Permutations

Permutations and Combinations

PS.2.3: Understand and use the multiplication rule to calculate probabilities for independent and dependent events.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

PS.2.6: Use discrete random variables and probability distributions, including the binomial and geometric distributions.

PS.2.7: Compute and interpret the mean and variance of a probability distribution.

Binomial Probabilities

Line Plots

Mean, Median and Mode

Populations and Samples

PS.2.10: Use other continuous random variables and probability distributions to solve problems.

PS.3.2: Understand hypothesis tests of means and differences between means and use them to reach conclusions.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

PS.3.4: Calculate and interpret the correlation coefficient of a set of data.

IM1.1.1: Compare real number expressions.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

IM1.1.2: Simplify square roots using factors.

IM1.2.1: Solve linear equations.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

IM1.2.2: Solve equations and formulas for a specific variable.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Using Algebraic Equations

IM1.2.3: Find solution sets of linear inequalities when possible numbers are given for the variable.

Inequalities Involving Absolute Values

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

IM1.2.4: Solve linear inequalities using properties of order.

Linear Inequalities in Two Variables - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

IM1.2.6: Sketch a reasonable graph for a given relationship.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

IM1.2.8: Understand the concept of a function, decide if a given relation is a function and link equations to functions.

Introduction to Functions

Linear Functions

Using Algebraic Equations

IM1.2.9: Find the domain and range of a relation.

IM1.2.10: Graph a linear equation.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Standard Form of a Line

IM1.2.11: Find the slope, x-intercept and y-intercept of a line given its graph, its equation, or two points on the 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

IM1.2.12: Write the equation of a line in slope-intercept form. Understand how the slope and y-intercept are related to the equation.

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

Using Tables, Rules and Graphs

IM1.2.13: Write the equation of a line given appropriate information.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Standard Form of a Line

IM1.2.14: Write the equation of a line that models a given situation and use (or the graph of the line) to make predictions. Describe the slope of the line in terms of the given situation, recognizing that the slope is the rate of change.

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 - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

IM1.2.15: Use the graph to estimate the solution of a pair of linear equations in two variables.

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

IM1.2.17: Understand and use the addition or subtraction method to solve a pair of linear equations in two variables.

Special Types of Solutions to Linear Systems

IM1.2.18: Understand and use multiplication with the addition or subtraction method to solve a pair of linear equations in two variables.

Special Types of Solutions to Linear Systems

IM1.2.19: Use pairs of linear equations to solve word problems.

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

IM1.2.20: Add and subtract polynomials.

Addition of Polynomials - Activity A

IM1.2.21: Multiple and divide monomials.

Dividing Exponential Expressions

Multiplying Exponential Expressions

Simplifying Radicals - Activity A

IM1.2.22: Find powers and roots of monomials (only when the answer has an integer exponent).

Dividing Exponential Expressions

Multiplying Exponential Expressions

IM1.2.23: Multiply polynomials.

Polynomials and Linear Factors

IM1.2.24: Divide polynomials by monomials.

Dividing Polynomials Using Synthetic Division

IM1.2.25: Understand and describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression.

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

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

IM1.2.26: Graph quadratic, cubic, and radical equations.

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

IM1.2.27: Solve quadratic equations by using the quadratic formula.

IM1.2.30: Graph exponential functions.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

IM1.2.31: Solve word problems involving applications of exponential functions to growth and decay.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Simple and Compound Interest

IM1.3.2: Apply transformations (slides, flips, turns, expansions, and contractions) to polygons to determine congruence, similarity, symmetry, and tessellations. Know that images formed by slides, flips, and turns are congruent to the original shape.

Dilations

Holiday Snowflake Designer

Perimeters and Areas of Similar Figures

Reflections

Rotations, Reflections and Translations

Similar Figures - Activity A

Similar Polygons

Translations

IM1.3.3: Find and use measures of sides, perimeter, and areas of polygons, and relate these measures to each other using formulas.

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

IM1.3.4: Use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas.

Area of Parallelograms - Activity A

Classifying Quadrilaterals - Activity B

Perimeter, Circumference, and Area - Activity B

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

IM1.3.5: Find and use measures of sides, perimeters, and areas of quadrilaterals, and relate these measures to each other using formulas.

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

IM1.3.6: Prove and use the Pythagorean Theorem.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

IM1.3.8: Describe symmetries of geometric solids.

Holiday Snowflake Designer

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM1.4.1: Construct a line plot.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

IM1.4.2: Find measures of central tendency for a set of data.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

IM1.4.4: Construct a histogram using a graphing calculator.

Histograms

Populations and Samples

IM1.4.6: Find a linear transformation.

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

IM1.4.7: Construct a stem-and-leaf plot using a graphing calculator.

IM1.4.12: Construct a scatterplot from a set of data.

Box-and-Whisker Plots

Correlation

Histograms

Line Plots

Scatter Plots - Activity A

Solving Using Trend Lines

Stem-and-Leaf Plots

IM1.4.15: Compare sets of data using scatterplots and the line y = x, and interpret these comparisons for real-world data.

Correlation

Populations and Samples

Scatter Plots - Activity A

Solving Using Trend Lines

IM1.4.16: Recognize patterns in tables and graphs that are modeled by linear equations.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

IM1.5.1: Design and use simulations in order to estimate answers related to probability.

IM1.5.2: Use empirical (experimental) and theoretical 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

IM1.5.3: Understand independent events.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

IM1.5.4: Use the Law of Large Numbers to understand situations involving chance.

Geometric Probability - Activity A

Polling: City

IM1.5.5: Understand the concept of a probability distribution. Understand how an approximate probability can be constructed using simulation involving chance.

IM1.6.5: Use a recursion function to describe an exponential function.

Exponential Functions - Activity A

IM2.1.1: Graph a linear inequality in two variables.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

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

IM2.1.2: Interpret given situations as functions in graphs, formulas, and words.

IM2.1.4: Graph quadratic functions. Show and explain the effects on the graph of changing a coefficient in a quadratic function. Find and interpret the zeros and maximum or minimum value of quadratic functions.

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

IM2.2.2: Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass, explaining and justifying the process used.

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

IM2.2.3: Find the measures of interior and exterior angles of polygons, justifying the method used.

Triangle Angle Sum - Activity A

IM2.2.4: Identify and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.

Classifying Triangles

Isosceles and Equilateral Triangles

Pythagorean Theorem - Activity B

Triangle Angle Sum - Activity A

IM2.2.5: Define, identify, and construct altitudes, medians, angle bisectors, and perpendicular bisectors.

Concurrent Lines, Medians, and Altitudes

IM2.2.6: Use properties of congruent and similar triangles to solve problems involving lengths and areas.

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM2.2.7: Find measures of sides, perimeters, and areas of triangles, and relate these measures to each other using formulas.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

IM2.2.8: Prove, understand, and apply the inequality theorems: triangle inequality, inequality in one triangle, and the hinge theorem.

IM2.2.9: State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.

IM2.2.11: Define and apply the trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant) defined by angles of right triangles.

Cosine Function

Sine Function

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Unit Circle

IM2.2.12: Know and use the relationship sin²x + cos²x = 1.

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

IM2.2.13: Solve word problems involving right triangles.

IM2.2.15: Define and identify relationships among: radius, diameter, arc, measure of an arc, chord, secant, and tangent.

IM2.2.16: Prove theorems related to circles.

Chords and Arcs

Inscribing Angles

IM2.2.18: Define, find, and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents).

Chords and Arcs

Inscribing Angles

IM2.2.20: Define, find, and use measures of circumference, arc length, and areas of circles and sectors. Use these measures to solve problems.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

IM2.2.21: Describe sets of points on spheres: chords, tangents, and great circles.

IM2.3.1: Describe the association between two variables by interpreting a scatterplot.

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

IM2.3.2: Interpret correlation coefficients.

IM2.3.4: Understand that a correlation between two variables does not necessarily imply one directly causes the other.

Correlation

Solving Using Trend Lines

IM2.3.5: Understand the effects of outliers on correlation coefficients, on the least squares regression line, and on the interpretations of correlation coefficients and regression lines in real-life contexts.

Correlation

Solving Using Trend Lines

IM2.4.1: Construct a probability distribution by simulation and use it to understand and analyze the probabilistic situation.

Binomial Probabilities

Probability Simulations

IM2.4.2: Explore the geometric, or waiting-time, distribution.

Geometric Probability - Activity A

IM2.4.3: Understand fundamental concepts of probability (i.e., independent events, multiplication rule, expected value).

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

IM2.4.4: Understand and apply counting principles to compute combinations and permutations.

Binomial Probabilities

Permutations

Permutations and Combinations

IM2.4.5: Use the basic counting principle, combinations, and permutations to compute probabilities.

Binomial Probabilities

Permutations

Permutations and Combinations

IM2.6.1: Explore properties and applications of the sine, cosine, and tangent ratios for the lengths of sides of right triangles.

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

Unit Circle

IM3.1.1: Solve combined linear inequalities.

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

IM3.1.2: Use a graph to find the solution set of a pair of linear inequalities in two variables.

Linear Programming - Activity A

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

IM3.1.3: Find a common monomial factor in a polynomial.

Factoring Special Products

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

IM3.1.4: Factor the difference of two squares and other quadratics.

Factoring Special Products

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

IM3.1.5: Simplify algebraic ratios.

Similar Figures - Activity A

Similar Polygons

IM3.1.6: Solve algebraic proportions.

Estimating Population Size

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

IM3.1.7: Solve quadratic equations by factoring.

Factoring Special Products

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

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

IM3.1.8: Solve quadratic equations in which a perfect square equals a constant.

IM3.1.10: Derive the quadratic formula by completing the square.

IM3.1.12: Recognize and graph various types of functions, including polynomials, rational, and algebraic functions.

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Rational Functions

IM3.1.13: Use function notation. Add, subtract, multiply, and divide pairs of functions.

Addition and Subtraction of Polynomials

IM3.1.16: Find the zeros of a function.

Polynomials and Linear Factors

IM3.1.17: Solve an inequality by examining the graph.

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

IM3.1.19: Graph absolute value equations and inequalities.

Defining a Line with Two Points

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

Standard Form of a Line

IM3.1.20: Use substitution, elimination, and matrices to solve systems of two or three equations in two or three variables.

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

IM3.1.21: Use system of equations and inequalities to solve word problems.

Linear Programming - Activity A

Modeling Linear Systems - Activity A

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

IM3.1.23: Understand how real and complex numbers are related, including plotting complex numbers as points in the plane.

Points in the Complex Plane - Activity A

IM3.1.24: Solve quadratic equations in the complex number system.

IM3.1.27: Solve pairs of equations, one quadratic and one linear, or both quadratic.

Roots of a Quadratic

Solving Equations By Graphing Each Side

IM3.1.28: Write the equations of conic sections (circle, ellipse, parabola, and hyperbola).

Circles

Ellipse - Activity A

Hyperbola - Activity A

Parabolas - Activity A

IM3.1.29: Graph conic sections.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

IM3.1.31: Divide polynomials by others of lower degree.

Dividing Polynomials Using Synthetic Division

IM3.1.32: Factor polynomials completely and solve polynomial equations by factoring.

Dividing Polynomials Using Synthetic Division

Factoring Special Products

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

IM3.1.36: Understand and describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of the graph, and the factors of a polynomial expression.

*x*^{2}+*bx*+*c*

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

IM3.1.38: Add, subtract, multiply, divide, and simplify algebraic fractions.

Fractions with Unlike Denominators

IM3.1.40: Solve equations involving algebraic fractions.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

IM3.1.41: Solve word problems involving fractional equations.

IM3.1.42: Solve problems of direct, inverse, and joint variation.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

IM3.1.49: Solve word problems involving applications of exponential functions to growth and decay.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Simple and Compound Interest

IM3.1.50: Define arithmetic and geometric sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.1.51: Find specified terms of arithmetic and geometric sequences.

IM3.1.53: Solve word problems involving applications of sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

IM3.2.1: Understand and use the relationships between special pairs of angles formed by parallel lines and transversals.

Investigating Angle Theorems - Activity A

IM3.2.2: Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Construct Parallel and Perpendicular Lines

Point-Slope Form of a Line - Activity A

Slope - Activity B

IM3.2.3: Use properties of congruent and similar polygons to solve problems.

Classifying Triangles

Congruence in Right Triangles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM3.2.4: Use coordinate geometry to prove properties of polygons such as regularity, congruence, and similarity.

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM3.2.5: Describe, classify, and understand relationships among quadrilaterals square, rectangles, rhombus, parallelogram, trapezoid, and kite.

Classifying Quadrilaterals - Activity B

Parallelogram Conditions

Special Quadrilaterals

IM3.2.6: Use coordinate geometry to prove properties of quadrilaterals such as regularity, congruence, and similarity.

Classifying Quadrilaterals - Activity B

Perimeters and Areas of Similar Figures

IM3.2.7: Construct triangles congruent to given triangles.

Congruence in Right Triangles

Proving Triangles Congruent

IM3.2.9: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM3.2.10: Use coordinate geometry to prove properties of triangles such as regularity, congruence, and similarity.

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

IM3.2.11: Find the equation of a circle in the coordinate plane in terms of its center and radius.

IM3.2.13: Describe the polyhedron that can be made from a given net (or pattern). Describe the net for a given polygon.

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

IM3.2.14: Identify and know properties of congruent and similar solids.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Proving Triangles Congruent

IM3.2.15: Find and use measures of sides, volumes of solids, and surface areas of solids. Relate these measures to each other using formulas.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

IM3.3.1: Understand and apply basic ideas related to the design and interpretation of surveys, such as background information, random sampling, and bias.

IM3.3.2: Construct simulated sampling distributions of sample proportions and use sampling distributions to identify which proportions are likely to be found in a sample of a given size.

Populations and Samples

Probability Simulations

IM3.6.1: Find the measures of sides and angles in triangles using the Law of Sines.

Classifying Triangles

Isosceles and Equilateral Triangles

Triangle Angle Sum - Activity A

IM3.6.2: Find the measures of sides and angles in triangles using the Law of Cosines.

Classifying Triangles

Isosceles and Equilateral Triangles

Triangle Angle Sum - Activity A

IM3.6.3: Compare and contrast families of trigonometric functions.

Cosine Function

Sine Function

Tangent Function

Unit Circle

Correlation last revised: 12/3/2009

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