1. ### Comparing and Explaining Transformations

• Resource ID: M8M4L1*
• Grade Range: 8
• Subject: Math

Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.

2. ### Mean Absolute Deviation

• Resource ID: M8M4L4*
• Grade Range: 8
• Subject: Math

Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.

3. ### Generalizing about Populations from Random Samples

• Resource ID: M8M4L5*
• Grade Range: 8
• Subject: Math

Given a population with known characteristics, students will be able to use a variety of methods to generate random samples of the same size in order to understand how a random sample is representative of a population.

4. ### Transformations of Square Root and Rational Functions

• Resource ID: A2M3L3
• Grade Range: 9–12
• Subject: Math

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

5. ### Functions and their Inverses

• Resource ID: A2M3L8
• Grade Range: 9–12
• Subject: Math

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

6. ### Writing Verbal Descriptions of Functional Relationships

• Resource ID: A1M1L3a
• Grade Range: 9–12
• Subject: Math

Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.

7. ### Determining Reasonable Domains and Ranges (Verbal/Graph)

• Resource ID: A1M2L2
• Grade Range: 9–12
• Subject: Math

Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.

8. ### Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)

• Resource ID: A1M3L2
• Grade Range: 9–12
• Subject: Math

Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.

9. ### Simplifying Polynomial Expressions

• Resource ID: A1M3L4
• Grade Range: 9–12
• Subject: Math

Given verbal and symbolic representations of polynomial expressions, the student will simplify the expression.

10. ### Solving Systems of Equations with Three Variables

• Resource ID: A2M2L6
• Grade Range: 9–12
• Subject: Math

Given a system of three linear equations, the student will solve the system with a unique solution.

11. ### Solving Systems of Equations Using Matrices

• Resource ID: A2M2L8
• Grade Range: 9–12
• Subject: Math

Given a system of up to three linear equations, the student will solve the system using matrices with technology.

12. ### Formulating Systems of Inequalities

• Resource ID: A2M2L2
• Grade Range: 9–12
• Subject: Math

Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.

13. ### Solving Systems of Equations Using Substitution

• Resource ID: A2M2L5a
• Grade Range: 9–12
• Subject: Math

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.

14. ### Solving Systems of Equations Using Elimination

• Resource ID: A2M2L5b
• Grade Range: 9–12
• Subject: Math

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.

15. ### Using Logical Reasoning to Prove Conjectures about Circles

• Resource ID: GM1L19
• Grade Range: 9–12
• Subject: Math

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

16. ### Generalizing Geometric Properties of Ratios in Similar Figures

• Resource ID: GM2L3
• Grade Range: 9–12
• Subject: Math

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

17. ### Making Conjectures About Circles and Segments

• Resource ID: GM4L16
• Grade Range: 9–12
• Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

18. ### Determining Area: Regular Polygons and Circles

• Resource ID: GM4L1
• Grade Range: 9–12
• Subject: Math

The student will apply the formula for the area of regular polygons to solve problems.

19. ### Making Conjectures About Circles and Angles

• Resource ID: GM4L16a
• Grade Range: 9–12
• Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

20. ### Solving Problems With Similar Figures

• Resource ID: GM5L2
• Grade Range: 9–12
• Subject: Math

Given problem situations involving similar figures, the student will use ratios to solve the problems.