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Content Area: Math
Index: 4.3D Grade 8 CPI 1
Standard: 4.3 - Patterns and Algebra
Strand: D - Procedures
Cumulative Progress Indicator: 1 - The student will use graphing techniques on a number line · Absolute value · Arithmetic operations represented by vectors (arrows) (e.g., “-3 + 6” is “left 3, right 6”)
Grade: 8
Sample Activities:
· Presented with an absolute value equation such as | x - 5 | < 3, the students use the idea that this means identifying all the points which are 3 units or less from 5. They represent the solution set with dots at 2 and 8 and a line connecting them.
· Students represent multiplication of integers on the number line as repeated addition. They use the idea that 3 × 4 is 4 + 4 + 4, and, on the number line, it would be represented by three segments, each four units in length, placed end to end starting at zero. The students write in their journals how they would picture 3 × (4). After reviewing their responses and clarifying concerns, they discuss that (3) × (4) would be the opposite of 3 × (4).
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