Write & Solve Multiplication and Division Equations

Write & Solve Multiplication

and Division Equations​

By Ms. Carnes, 6th grade math teacher

​Math Objective  

   Students will be able to:

Explain and show how to solve a multiplication and division equation.​Math Standards​

•  Write and solve an equation in the form of x + p =q and px=q for cases in which p, q, and x are all non-negative rational numbers to solve real-world and mathematical problems. 6.EE.19

• Evaluate expressions (which may include absolute value and whole number exponents) with respect to order of operations. 6.EE.15d

• Interpret the solution of an equation in the context of the 

​ problem. 6.EE.19a

​

When solving multiplication and division equations, there are two ideas that need to be involved...

Some text here about the topic of discussion

Property of Equality

​2nd Idea

There needs to be an inverse relationship

​1st Idea

Open Ended

The cost of T-shirts for four different soccer teams are shown. B. Dario also plays soccer and he says that, based on the price of Ben's t-shirt, Ben is on Team B.

Is Dario correct? Explain

Multiplication undergoes division.

Division undergoes multiplication.​

​

Inverse means the opposite of something

​Inverse Relationship

​Solving

Multiplication

and

Division

Equations

The same value can be multiplied or divided from both sides of an equation and the equality is maintained.

​Some text here about the topic of discussion.

Property of Equality

Properties of Equality

Multiplication​ Property Division Property

of Equality​ of Equality

​

a = b a=b

ca = cb a = b

c c​

​

​What do you notice about the equations?

Open Ended

How can you get the variable alone in this multiplication equation?

2x = 40

Open Ended

How can you get the variable alone in the division equation?

x ÷ 2 = 40

Open Ended

Teacher Model

Jamel charged the same amount

for each painting. How much did he charge for each painting?

3 paintings sold for $45

Fill in the Blanks

Guided Practice

Remember to use the inverse relationships and the property of equality

Question: Explain how to get the variable alone in the equation.

18x =36

Fill in the Blanks

Independent Practice

Remember to use the inverse relationships and the property of equality

Question: Explain how to get the variable alone in the equation.

x ÷ 3 =10

Fill in the Blanks

Guided Practice

Remember to use the inverse relationships and the property of equality

Question: What is the value of r in r ÷ 5 =22 ?

Solve for r=

Fill in the Blanks

Independent Practice

Remember to use the inverse relationships and the property of equality

Question: What is the value of a in a ÷ 12 =5 ?

Solve for r=

Fill in the Blanks

Independent Practice

Remember to use the inverse relationships and the property of equality

Question: What is the value of t in 2t =12?

Solve for t=

Poll

How do you feel about writing and solving multiplication and division equations?

• Great! 😀

  I understand everything covered in this lesson!

• Good! 👍

  I understand most of it!

• Confused?🤦‍♀️🤦‍♂️I understand some of it!

• I Need more help! 🤔

Open Ended

Megan is reading a 630 page book. She reads 18 pages each day. Write and solve a division equation to find the number of days, d, it will take Megan to finish the book.