Content Area: Math

 

Index: 4.3D Grade 8 CPI 2

 

Standard: 4.3 - Patterns and Algebra

 

Strand: D - Procedures

 

Cumulative Progress Indicator: 2 -  The student will solve simple linear equations informally, graphically, and using formal algebraic methods

·        Multi-step, integer coefficients only (although answers may not be integers)

·        Using paper-and-pencil, calculators, graphing calculators, spreadsheets, and other technology

 

Grade: 8

 

Sample Activities:

 

·        Presented with a picture of a balance scale showing objects with unknown weights on both sides as well as known weights (e.g., 3x + 12 = 7x + 4), students identify the standard algebraic equation related to the picture, describe in words how it would be solved using the concrete objects on the balance scale, and record their actions symbolically.

 

·        Students use algebra tiles to solve an equation like 3(2x + 5) = 21. They first place 21 units on the right and three groups of two strips and five units on the left. They then note that this is the same as saying 6 strips and 15 units balance 21 units (6x + 15 = 21). Then they take 15 units off both sides, leaving 6 strips balanced with 6 units (6x = 6). They conclude that one strip must equal one unit (x = 1).

 

·        As part of a regular exam, students write a verbal explanation describing the relationship between the function y=2x+4, its graph, and the equation 2=2x+4.