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

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.

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.

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.

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

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.

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.

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

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.

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

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.

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.

This activity provides an opportunity for students to investigate the perimeter of polygons.

The PDF of the interactive, informational story "Sunflower Biscuit Bones" designed for in-classroom use.

Use this game with children to combine shapes to draw Peg, Cat, and all their friends. Peg can help children every step of the way as they use their paintbrush and different colors to draw snazzy shapes or colorful characters.

The Law of Sines can be used to solve for sides and angles of oblique triangles. However, in some cases more than one triangle may satisfy the given conditions. We refer to this as an ambiguous case.

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

Students will explore volume conjectures and solve problems by applying  the volume formulas to composite figures.