`mu`

Co n cep t Byt e

`Use W ith Lesson 2-1`

Modeling One-Step

Equations

`© Common Core State Standards`

Prepares fo r A-REI.A.1 Explain each step in

solving a simple equation as following from the

equality o f numbers asserted at the previous

step,...

`Unit tiles`

J = +1 * = -1

`*+ J = 0`

`Variable tiles`

`■ = a variable, such asx`

`MP 7`

`A lg e b r a tile s c a n h e lp y o u u n d e r s t a n d h o w to s o lv e o n e - s te p e q u a t io n s i n o n e`

variable. You can use the algebra tiles shown below to m odel equations. Notice that

th e y e llo w t i l e is p o s it iv e a n d th e r e d t i l e is n e g a tiv e. T o g e th e r, t h e y f o r m a z e ro p a ir,

which represents 0.

`Activity`

Model and solve x - 2 = 4.

`Equation`

`x = 6`

`Algebra tiles`

`XI ii gam ■^ ■ _j _j`

J J

/

mu J J

2 + 2 = 4 + 2 J J

J J

`■HiJ J`

J J

J J

`Step`

`Model the equation using tiles.`

`The green tile represents x. To get the`

green tile by itself on one side o f the

equation, add tw o yello w tiles to each

side. Remember, a yellow tile and a red tile

form a zero pair. Remove all zero pairs.

`The green tile equals six yellow tiles.`

This represents x = 6. The solution of

x - 2 = 4 is 6.

`Ex e r c i se s`

Write the equation modeled by the algebra tiles.

`HHI -J J J J J J J`

JJ J HHI J J

`Use algebra tiles to model and solve each equation.`

3.x—3 = 2 4.x —4 = 7 5. x + 1 = 5

- 1 + x = - 3 8. 5 + x = - 3 9. x - 4 = — 3

`6. x + 4 = 7`

10. —4 + x = —8

80 Co n cep t By t e Modeling One-Step Equations