Curriculum Standards

CLE 3102.3.1: Use algebraic thinking to analyze and generalize patterns.

Arithmetic and Geometric Sequences

Linear Functions

CLE 3102.3.2: Understand and apply properties in order to perform operations with, evaluate, simplify, and factor expressions and polynomials.

Dividing Exponential Expressions

Dividing Polynomials Using Synthetic Division

Exponents and Power Rules

Factoring Special Products

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

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

Multiplying Exponential Expressions

CLE 3102.3.4: Solve problems involving linear equations and linear inequalities.

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

CLE 3102.3.5: Manipulate formulas and solve literal equations.

Solving Formulas for any Variable

CLE 3102.3.6: Understand and use relations and functions in various representations to solve contextual problems.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

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

Rational Functions

Sine Function

Tangent Function

CLE 3102.3.7: Construct and solve systems of linear equations and inequalities in two variables by various methods.

Linear Programming - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Special Types of Solutions to Linear Systems

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

Using Algebraic Equations

Using Algebraic Expressions

CLE 3102.3.8: Solve and understand solutions of quadratic equations with real roots.

CLE 3102.3.9: Understand and use exponential functions to solve contextual problems.

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Half-life

Simple and Compound Interest

CLE 3102.5.1: Describe and interpret quantitative information.

Correlation

Solving Using Trend Lines

CLE3108.2.2: Explore vectors as a numeric system, focusing on graphic representations and the properties of the operation.

CLE3108.2.3: Establish an ability to estimate, select appropriate units, evaluate accuracy of calculations and approximate error in measurement in geometric settings.

CLE 3108.3.2: Explore the effect of transformations on geometric figures and shapes in the coordinate plane.

Dilations

Parallelogram Conditions

Reflections

Rotations, Reflections and Translations

Special Quadrilaterals

Translations

CLE 3108.4.1: Develop the structures of geometry, such as lines, angles, planes, and planar figures, and explore their properties and relationships.

Classifying Quadrilaterals - Activity B

Classifying Triangles

Parallelogram Conditions

Polygon Angle Sum - Activity A

Special Quadrilaterals

Triangle Angle Sum - Activity A

CLE 3108.4.2: Describe the properties of regular polygons, including comparative classification of them and special points and segments.

Classifying Quadrilaterals - Activity B

Classifying Triangles

Parallelogram Conditions

Special Quadrilaterals

Triangle Angle Sum - Activity A

CLE 3108.4.3: Develop an understanding of the tools of logic and proof, including aspects of formal logic as well as construction of proofs.

Biconditional Statement

Conditional Statement

Proving Triangles Congruent

Simplifying Trigonometric Expressions

CLE 3108.4.4: Develop geometric intuition and visualization through performing geometric constructions with straightedge/compass and with technology.

3D and Orthographic Views - Activity A

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

CLE 3108.4.6: Generate formulas for perimeter, area, and volume, including their use, dimensional analysis, and applications.

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

CLE 3108.4.7: Apply the major concepts of transformation geometry to analyzing geometric objects and symmetry.

Dilations

Holiday Snowflake Designer

Reflections

Rotations, Reflections and Translations

CLE 3108.4.8: Establish processes for determining congruence and similarity of figures, especially as related to scale factor, contextual applications, and transformations.

Dilations

Perimeters and Areas of Similar Figures

Reflections

Rotations, Reflections and Translations

Similar Figures - Activity A

Similar Polygons

CLE 3108.4.9: Develop the role of circles in geometry, including angle measurement, properties as a geometric figure, and aspects relating to the coordinate plane.

Circles

Classifying Triangles

Inscribing Angles

CLE 3108.4.10: Develop the tools of right triangle trigonometry in the contextual applications, including the Pythagorean Theorem, Law of Sines and Law of Cosines.

Sine and Cosine Ratios - Activity A

CLE 3108.5.1: Analyze, interpret, employ and construct accurate statistical graphs.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

CLE 3108.5.2: Develop the basic principles of geometric probability.

Geometric Probability - Activity A

Probability Simulations

Theoretical and Experimental Probability

CLE 3103.2.2: Connect numeric, analytic, graphical and verbal representations of both real and complex numbers.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Points in the Complex Plane - Activity A

Using Algebraic Equations

Using Algebraic Expressions

CLE 3103.2.3: Use appropriate technology (including graphing calculators and computer spreadsheets) to solve problems, recognize patterns and collect and analyze data.

CLE 3103.2.4: Understand the capabilities and limitations of technology when performing operations, graphing, and solving equations involving complex numbers.

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

CLE 3103.3.2: Understand, analyze, transform and generalize mathematical patterns, relations and functions using properties and various representations.

Arithmetic and Geometric Sequences

Introduction to Functions

Linear Functions

Translating and Scaling Functions

CLE 3103.3.4: Graph and compare equations and inequalities in two variables. Identify and understand the relationships between the algebraic and geometric properties of the graph.

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

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

CLE 3103.3.5: Use mathematical models involving equations and systems of equations to represent, interpret and analyze quantitative relationships, change in various contexts, and other real-world phenomena.

Distance-Time Graphs

Exponential Functions - Activity A

Linear Functions

CLE 3103.4.1: Understand the trigonometric functions and their relationship to the unit circle.

Cosine Function

Sine Function

Tangent Function

Unit Circle

CLE 3103.4.2: Know and use the basic identities of sine, cosine, and tangent as well as their reciprocals.

Simplifying Trigonometric Expressions

Tangent Ratio

CLE 3103.4.3: Graph all six trigonometric functions and identify their key characteristics.

Cosine Function

Sine Function

Tangent Function

Unit Circle

CLE 3103.4.5: Use trigonometric concepts, properties and graphs to solve problems.

Cosine Function

Sine Function

Tangent Function

Unit Circle

CLE 3103.5.1: Describe, interpret, and apply quantitative data.

Correlation

Solving Using Trend Lines

CLE 3103.5.2: Evaluate and critique various ways of collecting data and using information based on data published in the media.

Correlation last revised: 3/29/2010