
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.

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.

Determining Area: Sectors of Circles
 Resource ID: GM4L3
 Grade Range: 9–12
 Subject: Math
Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

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.

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.

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.

Domain and Range: Numerical Representations
 Resource ID: A2M1L1
 Grade Range: 9–12
 Subject: Math
Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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.

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.

Transformations of Exponential and Logarithmic Functions
 Resource ID: A2M3L4
 Grade Range: 9–12
 Subject: Math
Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

Solving Square Root Equations Using Tables and Graphs
 Resource ID: A2M6L2A
 Grade Range: 9–12
 Subject: Math
Given a square root equation, the student will solve the equation using tables or graphs  connecting the two methods of solution.

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.

Rational Functions: Predicting the Effects of Parameter Changes
 Resource ID: A2M7L0
 Grade Range: 9–12
 Subject: Math
Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

Writing Equations to Describe Functional Relationships (Table → Equation)
 Resource ID: A1M1L2
 Grade Range: 9–12
 Subject: Math
Given a problem situation represented in verbal or symbolic form, the student will identify functions.

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.

Writing Inequalities to Describe Relationships (Graph → Symbolic)
 Resource ID: A1M1L6
 Grade Range: 9–12
 Subject: Math
Given the graph of an inequality, students will write the symbolic representation of the inequality.

Writing Inequalities to Describe Relationships (Symbolic → Graph)
 Resource ID: A1M1L7
 Grade Range: 9–12
 Subject: Math
Describe functional relationships for given problem situations, and write equations or inequalities to answer questions arising from the situations.

Writing the Symbolic Representation of a Function (Graph → Symbolic)
 Resource ID: A1M1L9
 Grade Range: 9–12
 Subject: Math
Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.

Determining Parent Functions (Verbal/Graph)
 Resource ID: A1M2L1
 Grade Range: 9–12
 Subject: Math
Given a graph or verbal description of a function, the student will determine the parent function.

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.