Grade Level Expectations

1.1.C: Compose and decompose numbers

1.1.C.1: use vectors and matrices as systems and compare their properties to the real-number system

1.3.E: Use proportional reasoning

1.3.E.1: solve problems involving proportions

2.1.B: Create and analyze patterns

2.1.B.1: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

2.1.D: Identify and compare functions

2.1.D.1: understand and compare the properties of exponential, polynomial, rational, logarithmic, and periodic functions

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Rational Functions

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions - Activity A

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on polynomial and periodic function

Cosine Function

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Parabolas - Activity A

Roots of a Quadratic

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

2.2.A: Represent mathematical situations

2.2.A.1: use symbolic algebra to represent and solve problems that involve periodic relationships, including recursive and parametric relationships

Arithmetic Sequences

Arithmetic and Geometric Sequences

Cosine Function

Geometric Sequences

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions - Activity A

2.2.B: Describe and use mathematical manipulation

2.2.B.1: describe and use algebraic manipulations, including inverse of functions, composition of functions

Addition and Subtraction of Polynomials

2.2.C: Utilize equivalent forms

2.2.C.1: use and solve equivalent forms of equations and inequalities (polynomial and trigonometric)

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

2.2.D: Utilize systems

2.2.D.1: use and solve systems of equations or inequalities

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

2.3.A: Use mathematical models

2.3.A.1: identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem (including recursive forms)

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions: Translating and Scaling

2.4.A: Analyze change

2.4.A.1: analyze rational, polynomial and periodic functions by investigating rates of change, intercepts and asymptotes

Cosine Function

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Rational Functions

Sine Function

Tangent Function

Translating and Scaling Sine and Cosine Functions - Activity A

3.1.A: Describe and use geometric relationships

3.1.A.1: use trigonometric relationships to determine lengths and angle measures in all types of triangles

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

3.2.A: Use coordinate systems

3.2.A.1: use Cartesian coordinates and other coordinate systems to analyze geometric situations, such as navigational, polar or spherical systems

3.3.B: Use transformations on functions

3.3.B.1: perform simple transformations and their compositions on linear, quadratic, logarithmic, exponential, rational and periodic functions

Exponential Functions - Activity A

General Form of a Rational Function

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

Reflections of a Linear Function

Reflections of a Quadratic Function

Roots of a Quadratic

Translating and Scaling Functions

5.2.C: Represent data algebraically

5.2.C.1: create a scatterplot, describe its shape, determine and analyze regression equations using technological tools

Correlation

Lines of Best Fit Using Least Squares - Activity A

Scatter Plots - Activity A

Solving Using Trend Lines

5.4.A: Apply basic concepts of probability

5.4.A.1: use simulations to construct empirical probability distributions

Correlation last revised: 10/24/2008

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