Grade Level Expectations

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 linear, quadratic, exponential, logarithmic and rational functions (include asymptotes)

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

Roots of a Quadratic

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on logarithmic and exponential functions

Exponential Functions - Activity A

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

2.2.A: Represent mathematical situations

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

Arithmetic Sequences

Arithmetic and Geometric Sequences

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Geometric Sequences

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

2.2.B: Describe and use mathematical manipulation

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

Addition and Subtraction of Polynomials

2.2.C: Utilize equivalent forms

2.2.C.1: use and solve equivalent forms of equations and inequalities (exponential, logarithmic and rational)

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

2.2.D: Utilize systems

2.2.D.1: use and solve systems of linear and quadratic equations or inequalities with 2 variables

Linear Programming - Activity A

Quadratic Inequalities - 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

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)

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

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

2.4.A: Analyze change

2.4.A.1: analyze exponential and logarithmic functions by investigating rates of change, intercepts and asymptotes

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

3.1.A: Describe and use geometric relationships

3.1.A.1: use trigonometric relationships with right triangles to determine lengths and angle measures

Cosine Function

Sine Function

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Tangent Function

Tangent Ratio

3.1.B: Apply geometric relationships

3.1.B.1: determine the effect on surface area or volume of changing one measurement

Prisms and Cylinders - Activity A

3.2.A: Use coordinate systems

3.2.A.1: use vectors to represent and analyze problems involving velocity and direction

3.3.A: Use transformations on objects

3.3.A.1: use and apply matrices to represent translations, reflections, rotations, and dilations

Dilations

Reflections

Rotations, Reflections and Translations

Translations

3.3.B: Use transformations on functions

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

Exponential Functions - Activity A

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

Reflections of a Linear Function

Reflections of a Quadratic Function

Roots of a Quadratic

Translating and Scaling Functions

4.2.E: Use relationships within a measurement system

4.2.E.1: use unit analysis to solve problems involving rates, such as speed, density or population density

Density Laboratory

Determining Density via Water Displacement

5.2.B: Compare data representations

5.2.B.1: given one variable quantitative data, display the distribution, describe its shape and calculate summary statistics

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.2.C: Represent data algebraically

5.2.C.1: given a scatterplot, determine a type of function which models the data

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

5.3.A: Develop and evaluate inferences

5.3.A.1: use simulations to describe the variability of sample statistics from a known population and to construct sampling distributions

Populations and Samples

Probability Simulations

5.4.B: Use and describe compound events

5.4.B.1: use and describe how to compute the probability of a compound event

Binomial Probabilities

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

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.