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 ax2+bx+c
Modeling the Factorization of x2+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