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