G8

Copyright © Swun MathCopyright © Swun Math (^) Grade 8 Unit 4 Lesson 1 C TE

Homework

Unit 4 · Lesson 1: Model Equations

Objective: I will solve one-step equations using visual models.

Vocabulary Steps

Area Model: using area to multiply two

quantities.

23 × 37 =

600 + 140 + 90 + 21 = 851

Tape Diagram: A visual model representing parts

of a whole; also referred to as a bar model

x + 12 = 20

1. Identify the variable and draw a model.


2. Solve for the variable using reasoning and
   logic.

1: Equations with One Variable
Example # 1 Example # 2
Directions: Draw a model for the given equation. Solve.
x + 7 = 15^

Solution:

• Step 1 - Draw a model:


• Step 2 - Solve using reason or logic: I think, what number
  plus 7 gives me 15? I can mentally subtract 15 – 7 to find
  the missing number, 8.
  Answer: x = 8

5 푏푏 = 7.5

Solution:

• Step 1 - Draw a model:


• Step 2 - Solve using reason or logic: I think, what number times 5
  equals 7.5? I divide 7.5 by 5, and get 1.5.

Answer: 푏푏 = 1.5

푥푥 13

20

푥푥 7

15

Name: ___

Date: ___

7.5

푏푏 푏푏 푏푏 푏푏 푏푏

30 7

20

3

20 × 30 = 600

20 × 7= 140

30 × 3 = 90 3 × 7 = 21