Assessment Frameworks

1.1.a: Compare and order sets of real numbers.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

1.2.b: Verify and apply the properties of the operation “to the power of”.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

2.1.a: Model real world phenomena involving linear, quadratic and exponential relationships using multiple representations of rules that can take the form of a recursive process, a function, an equation, or an inequality.

Exponential Functions - Activity A

Linear Functions

Quadratic Inequalities - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Using Algebraic Equations

2.2.a: Represent functional relationships using written explanations, tables, equations, and graphs, and describe the connections among these representations.

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Introduction to Functions

Linear Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

Polynomials and Linear Factors

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

Slope-Intercept Form of a Line - Activity A

Tangent Function

Using Algebraic Equations

Using Tables, Rules and Graphs

2.2.b: Convert from one functional representation to another.

Introduction to Functions

Linear Functions

Using Algebraic Equations

Using Tables, Rules and Graphs

2.3.a: Solve problems involving functions and relations using calculators, graphs, tables, and algebraic methods.

Introduction to Functions

Linear Functions

2.3.b: Solve simple systems of equations using algebraic, graphical or numeric methods.

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

2.3.c: Solve equations with more than one variable for a given variable (for example, solve for p in 1= prt or for r in C=2 pi r).

Solving Formulas for any Variable

2.4.a: Identify and interpret x- and y- intercepts in the context of a problem.

Point-Slope Form of a Line - Activity A

Polynomials and Linear Factors

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.4.b: Using a graph, identify the maximum and minimum value within a given domain.

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

Introduction to Functions

Parabolas - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Roots of a Quadratic

2.4.c: Demonstrate horizontal and vertical translations on graphs of functions and their meanings in the context of a problem.

Circles

Ellipse - Activity A

Hyperbola - Activity A

Logarithmic Functions: Translating and Scaling

Quadratics in Factored Form

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions - Activity A

2.4.d: Recognize when a relation is a function.

Introduction to Functions

Linear Functions

2.5.a: Graph solutions to equations and inequalities in one-and two-dimensions.

Defining a Line with Two Points

Ellipse - Activity A

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Linear Programming - Activity A

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Standard Form of a Line

Systems of Linear Inequalities (Slope-intercept form) - Activity A

2.5.b: Express the perimeter, area and volume relationships of geometric figures algebraically.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

2.5.c: Describe geometric relationships algebraically.

Ellipse - Activity A

Hyperbola - Activity A

3.1.c: Select and use an appropriate display to represent and describe a set of data (for example, scatter plot, line graph and histogram).

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

3.2.c: Describe how data can be interpreted in more than one way or be used to support more than one position in a debate.

3.3.a: Graph data sets, create a scatter plot, and identify the control (independent) variable and dependent variable.

Correlation

Introduction to Functions

Scatter Plots - Activity A

Solving Using Trend Lines

3.3.b: Determine a line of best fit from a scatter plot using visual techniques.

Correlation

Lines of Best Fit Using Least Squares - Activity A

Solving Using Trend Lines

3.4.a: Differentiate between mean, median, and mode and demonstrate the appropriate use of each.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

3.4.d: Demonstrate how outliers might affect various representations of data and measures of central tendency*.

Describing Data Using Statistics

Mean, Median and Mode

3.5.a: Determine the probability of an identified event using the sample space.

Geometric Probability - Activity A

3.5.b: Distinguish between experimental and theoretical probability and use each appropriately.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

3.5.c: Differentiate between independent and dependent events to calculate the probability in real-world situations.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

3.5.d: Calculate the probability of event A and B occurring and the probability of event A or B occurring.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

3.5.e: Use area models to determine probability (for example, the probability of hitting the bull’s eye region in a target).

Geometric Probability - Activity A

3.6.a: Apply organized counting techniques to determine combinations and permutations in problem-solving situations.

Binomial Probabilities

Permutations

Permutations and Combinations

4.1.a: Describe and apply the properties of similar and congruent figures.

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

4.1.b: Solve problems involving symmetry and transformations.

Dilations

Holiday Snowflake Designer

Reflections

Rotations, Reflections and Translations

4.1.d: Describe cylinders, cones and spheres that result from the rotation of rectangles, triangles and semicircles about a line.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

Surface and Lateral Area of Pyramids and Cones

4.2.a: Use the Pythagorean Theorem and its converse to solve real-world problems.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

4.2.c: Use properties of geometric solids to find volumes and surface areas of regular and irregular geometric solids.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.3.a: Make and test conjectures about geometric shapes and their properties to include parallelism and perpendicularity, numerical relationships on a triangle, relationships between triangles, and properties of quadrilaterals and regular polygons.

Parallelogram Conditions

Triangle Inequalities

4.3.b: Apply geometric relationships such as parallelism and perpendicularity, numerical relationships on a triangle, relationships between triangles, and properties of quadrilaterals and regular polygons to solve problems.

Area of Parallelograms - Activity A

Parallelogram Conditions

4.4.a: Use right triangle trigonometry to solve real-world problems.

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

5.1.a: Use appropriate measurements to solve problems indirectly (for example, find the height of a flagpole using similar triangles.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

5.1.b: Use measurement to solve real-world problems involving rate of change (for example, distance traveled using rate and time).

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

5.1.c: Given the rate of change, model real-world problems algebraically or graphically.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

5.1.d: Describe how changing the measure of one attribute of a geometric figure affects the other measurements.

Prisms and Cylinders - Activity A

5.2.a: Select and use appropriate tools and techniques to measure quantities in order to achieve specified degrees of precision, accuracy, and error of measurements.

6.1.a: Use ratios, proportions, and percents in problem-solving situations that involve rational numbers.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Geometric Probability - Activity A

Part:Part and Part:Whole Ratios

Perimeters and Areas of Similar Figures

Polling: Neighborhood

Similar Figures - Activity A

Similar Polygons

6.1.c: Apply direct variation to problem-solving situations.

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Correlation last revised: 1/24/2009

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