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Using Logical Reasoning to Prove Conjectures about Circles

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

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Generalizing Geometric Properties of Ratios in Similar Figures

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.

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Determining Area: Sectors of Circles

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.

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Interactive Math Glossary

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Making Conjectures About Circles and Segments

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.

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Determining Area: Regular Polygons and Circles

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

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Making Conjectures About Circles and Angles

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.

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Domain and Range: Numerical Representations

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.

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Solving Problems With Similar Figures

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

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Transformations of Square Root and Rational Functions

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.

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Transformations of Exponential and Logarithmic Functions

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

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Solving Square Root Equations Using Tables and Graphs

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

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Functions and their Inverses

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.

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Rational Functions: Predicting the Effects of Parameter Changes

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.

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Skits and Martha Bake a Cake—Martha Speaks

Help children build vocabulary and understand STEM education concepts. Skits and Martha bake a cake for Helen.

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Read a Good Book: Communicating by Drawing | IPTV KIDS Clubhouse

IPTV KIDS Clubhouse kids read and discover more about communication! In this segment, kids go to the library and try to get their friends to guess their favorite book titles without using any words, only drawings and actions.

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Sunflower Biscuit Bones (PDF) | Martha Speaks

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

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Pressure—Martha Speaks | PBS KIDS Lab

Help children build vocabulary using this Martha Speaks video! Martha explains the meaning of the word "pressure."

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Professor Monkey Follows the Directions—Martha Speaks

Help children build vocabulary and understand STEM education concepts with this Martha Speaks video! Professor Monkey follows instructions to make a paper airplane but accidentally uses paper that has the directions for where he needs to be!

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T.D.'s Report on Inventor Tom Adams—Martha Speaks

Help children build vocabulary and understand STEM education concepts with this Martha Speaks video! T.D. gives a report in class about the inventor of chewing gum, Tom Adams.