Lesson Topic: One-Step Equations (Addition, Subtraction, Multiplication, and Division)

Lesson Objective: I can…Solve one-step equations by relating an equation to a diagram.

Check to determine if solutions make equations true.

Example 1Calculate the solution:

a + 2 = 8 First, we will do it with tape diagrams. Then, we will do it algebraically to show

what happened when we made the tape diagrams.

Last, we will check our answer using substitution and the identity property.

Example 2Calculate the solution:

D - 5 = 7 First, we will do it with tape diagrams. Then, we will do it algebraically. Last, we will check our answer using

substitution and the identity property.

Example 3Identify the mistake in the problem below. Then, correct the mistake:

H + 10 = 25H + 10 + 10 = 25 + 10

H = 35

Example 4Solve:

3z = 9 First, we will do it with tape diagrams. Then, we will do it algebraically. Last, we will check our answer by

substituting the value of z into the original equation.

Example 5Solve:

y/4 = 2 First, we will do it with tape diagrams. Then, we will do it algebraically. Last, we will check our answer by

substituting the value of y into the original equation.

Lesson SummaryWe used inverse operations to

solve equations today. Division was used to solve multiplication

equations, multiplication was used to solve division equations,

subtraction was used to solve addition equations, and addition

was used to solve subtraction equations.

Evaluate Your Learning4321

How will you “Sharpen Your Saw”?