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