## Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
Expressions and Equations
Reason about and solve one-variable equations and inequalities.
5. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

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This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), is the first of three balance activities in which students develop intuitive strategies for writing and solving simple algebraic equations. Students drag a shape whose numerical value is known onto one side of a scale and then drag copies of a shape with an unknown numerical value to the other side of the scale until both sides are level. Students then solve the equation to determine the value of the unknown shape. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included.
Activity, Lesson Plans, Video
This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), is the third of three balance activities in which students develop intuitive strategies for writing and solving algebraic equations. In this final activity, users must simplify algebraic equations by removing identical shapes from both sides of a scale. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included.
Activity, Lesson Plans, Video
This Sketchpad activity, which opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately), is the second of three balance activities in which students develop intuitive strategies for writing and solving simple algebraic equations. In this follow-up activity, students create and solve balance puzzles in which the variable must first be isolated on one side of an algebraic equation in order to determine its value. A five-minute movie provides detailed instructions and downloadable PDF of teacher notes and student worksheets are also included.
Activity, Lesson Plans, Video
This interactive Flash game provides an opportunity for a player to make decisions and develop strategic thinking by analyzing the uncovered number choices on a game board that includes the integers from -5 to 12. Each player rolls the dice, chooses which number to begin with and whether to add or subtract the other number to produce either a negative or positive result shown on the board. The goal is to be first player to complete a row of three counters either horizontally, vertically or diagonally on the game board. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for support, printable instructions and game board, and a link to a more advanced version of the game (Connect Three, cataloged separately).
Activity, Game, Interactive Media