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Grade 7 Video Outcomes




P7.4 Demonstrate an understanding of linear equations of the form x  a  b (where a
and b are integers) by modeling problems as a linear equation and solving the problems
concretely, pictorially, and symbolically.

Synopsis

Clip P7.4 models the three questions listed below with Algebra Tiles that are red on one
side and a different color on the other side. The red sided tiles are treated as positive and
the other sided color tiles are negative. The small square tiles represent the positive and
negative integers and the rectangular tiles represent the unknowns. Each equation is
modeled with the tiles and an equals sign separates question and answer. Using algebra
tiles in this way helps students understand that when you use the zero principle to isolate
the unknown you must also add that integer to the answer side of the equation to maintain
a balanced equation. Once the unknown is isolated it is simply a matter of adding or
subtracting integers on the opposite side of the equation.

Problems

x+3=7

r + 5 = -2

3x – 4 = 5

Concrete Manipulatives: Algebra Tiles, equal sign between left and right side of the
equation.

Virtual Manipulatives

Algebra Tiles
http://nlvm.usu.edu/en/nav/frames_asid_189_g_1_t_2.html?open=activities&from=topic
_t_2.html




                                                                                            1

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P7.4

  • 1. Grade 7 Video Outcomes P7.4 Demonstrate an understanding of linear equations of the form x  a  b (where a and b are integers) by modeling problems as a linear equation and solving the problems concretely, pictorially, and symbolically. Synopsis Clip P7.4 models the three questions listed below with Algebra Tiles that are red on one side and a different color on the other side. The red sided tiles are treated as positive and the other sided color tiles are negative. The small square tiles represent the positive and negative integers and the rectangular tiles represent the unknowns. Each equation is modeled with the tiles and an equals sign separates question and answer. Using algebra tiles in this way helps students understand that when you use the zero principle to isolate the unknown you must also add that integer to the answer side of the equation to maintain a balanced equation. Once the unknown is isolated it is simply a matter of adding or subtracting integers on the opposite side of the equation. Problems x+3=7 r + 5 = -2 3x – 4 = 5 Concrete Manipulatives: Algebra Tiles, equal sign between left and right side of the equation. Virtual Manipulatives Algebra Tiles http://nlvm.usu.edu/en/nav/frames_asid_189_g_1_t_2.html?open=activities&from=topic _t_2.html 1