### CLE 3102: Algebra I

#### CLE 3102.3: Algebra

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

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

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

CLE 3102.3.5: Manipulate formulas and solve literal equations.

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

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

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.

#### CLE 3102.5: Data Analysis, Statistics, & Probability

CLE 3102.5.1: Describe and interpret quantitative information.

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: Geometry

#### CLE 3108.3: Algebra

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

#### CLE 3108.4: Geometry & Measurement

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

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

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.

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

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

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

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

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.

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.

#### CLE 3108.5: Data Analysis, Statistics, & Probability

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

CLE 3108.5.2: Develop the basic principles of geometric probability.

### CLE 3103: Algebra II

#### CLE 3103.2: Number & Operations

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

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.

#### CLE 3103.3: Algebra

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

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.

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.

#### CLE 3103.4: Geometry & Measurement

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

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

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

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

#### CLE 3103.5: Data Analysis, Statistics, & Probability

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

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

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