Expressions and Equations

Apply and extend previous understandings of arithmetic to algebraic expressions.

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Resource | Resource Type Grade Level | Rating |
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This interactive Java learning tool, which was constructed using the cross-platform open educational resource GeoGebra, allows a teacher to demonstrate and explore the relationship between the expressions a(n) and a^n with students. Sliders can change the whole number values of a from one to four and n from one to six. Shows a visual model when n is less than 4. | Activity, Demonstration, Interactive Media Grade Level: 4, 5, 6+ | |

This interactive Java applet, based on the familiar game Connect Four, gives students practice in applying order of operations. Two players take turns evaluating expressions involving the four basic operations (addition, subtraction, multiplication and division). If correct, the player places a black or red checker on the board with the goal of connecting four in a row ( horizontally, vertically, or diagonally) before the opponent does. Players choose from four levels of difficulty; they can adjust the timing feature and whether to involve exponents and/or parentheses. | Activity, Game, Interactive Media Grade Level: 3, 4, 5, 6+ | |

This pair of videos (8 min and 10 min) and accompanying text illustrate various strategies for providing mental skills practice that is brief, interesting, useful, and effective. They include examples of teachers working with their students in group settings as well as narrative elaboration by Paul Goldenburg. Two related articles (Practice and Fact of the day) are cataloged separately. | Activity, Instructional Strategy, Reference Materials, Article, Video Grade Level: 1, 2, 3, 4, 5, 6+ | |

This multimedia lesson plan introduces exponents and exponential form through a video segment followed by handouts and assessments. Students learn to write repeated multiplication using exponents and to evaluate expressions in exponential form. The short Quick Time video, a Cyberchase story, shows the Lily Pad Escape, in which lily pads double each time they are immersed in water, growing a bridge from only 1 lily pad to 128 lily pads. Classwork expands the story example to a general discussion of base and exponents. | Activity, Lesson Plans Grade Level: 5, 6+ |