Multi-Step Word Problems w/ Strip Diagrams & Equations

SOLVING MULTI-STEP PROBLEM WITH












Strip Diagrams and Equations

LO: SWBAT represent multi-step problems with equations or
strip diagrams that have a letter standing for the unknown.

DOL: SW represent multi-step problems with equations or
strip diagrams that have a letter standing for the unknown

correctly in at least 4 out of 5 problems.

K.6(A) identify two‐dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles

TEKS 4.5A represent multi‐step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the
unknown quantity (whole number). (R)

Lesson Vocabulary 4 Corners

The remaining amount when subtracting one

or more parts

Sum

Difference

Equation

Strip Diagram

Lesson Vocabulary 4 Corners

A number sentence that includes an equal

sign

Sum

Difference

Equation

Strip Diagram

5

Lesson Vocabulary

Sum

Difference

Equation

Strip Diagram

35

15

a

35 - 15 = 20

35 - 15 = 20

15 + 20 = 35

6

Lesson Vocabulary

Product

Quotient

Equation

Strip Diagram

66 ÷ 6 = 11

11 x 6 = 66

11 x 6 = 66

11

11

11

11

11

11

a

What is a strip diagram?

A strip diagram is strategy that we use to help organize and solve word problems.

Addition Strip diagram

• Know parts

• total is missing

• parts are not the same

Subtraction Strip diagram

• The total is known

• The parts are different

Multiplication strip diagrams

• The parts are known

• total is missing

• Parts are the same

Division strip diagrams

• The whole is known

• Parts are missing

• Parts are the same

Equations

• You will have problems that only have equations

• you have to pick the equation that you would use to solve the problem

• You do not have to actually solve the problem just show what you would do to solve it

• answers will look like this :2,140 + 5,627 = E

Strip diagram and equation

Students will travel in groups of 12 during the field trip to the art museum. There are 6 students per group. How many students are at the museum?

Multi step strip diagrams

• Sometimes we will have problems that are multistep

• Still ask if you know the total?

• Look at each strip diagram in the answers

• In this problem we are taking away 12 two times from the total. So this will show up in the long bar

• Since he got three booklets with 20 in each booklet, we should see 20 on there twice

Multistep equations

Equations are only used to show how you would solve a problem. You don't have to do anything but pick the correct way to solve it.

7

Let’s represent.

A business owner earned $94 for one job and $72 for a
second job. The owner spent $28 on supplies.

Draw a strip diagram that represents m, the amount of
money the owner has now?

What information is unknown?

12

Let’s practice.

The owner of a business earned $82 for a job and $74 for another
job. The owner spent $29 on supplies.

Lets create a strip diagram represents m, the amount of money the owner
has now?

Multiple Choice

A business owner earned $94 for one job and $72 for a second job. The owner spent $28 on supplies.

Which set of equations can be used to find m, the amount of money the business owner has now?

• 1. 94 + 72 = 166

  166 – 28 = m

• 94 – 72 = 22

        28 + 22 = m

• 94 – 72 = 22

  22 + 28 = m

• 94 + 72 = 166

  166 + 28 = m

Multiple Choice

At a store, dividers cost 61 cents each, and fruit snacks cost 93 cents each. Mary had 99 cents. 

Which set of equations can be used to find c, the number of cents Mary still needs to buy one divider and one pack of fruit snacks?

• 1. 61 + 93 =  154

  154 + 99 = c

• 61 + 93 =  154

  154 - 99 = c

• 1. 93 - 61 =  32

  2. 99 - 32 = c

• 93 - 61 =  32

  32 + 99 = c

Multiple Choice

The owner of a business earned $82 for a job and $74 for another job. The owner spent $29 on supplies.
Which strip diagram represents m, the amount of money the owner has now?

Multiple Choice

A carpenter had a board that is 60 inches long. He cut into five pieces with the same length. Then, he cuts each of the 5 pieces into 3 smaller pieces with the same length.

Which set of equations can be used to find l, the length in inches of each smaller pieces?

• 1. 60 + 5 =  65

  65 + 3 = l

• 1. 60 + 5 =  65

  65 + 3 = l

• 1. 60 ÷ 5 =  12

  2. 12 ÷ 3 = l

• 60 ÷ 5 =  12

  12 x 3 = l

Multiple Choice

Which equation matches the strip diagram?

• 44 - 91 = R

• 91 - 44 = R

• 44 + 91 = R

Multiple Choice

Five students at Kaufman Elementary each collected 1,375 bottle caps.  How many bottle caps did they collect together?  Choose the equation that solves the problem.

• 1,375 - 5 = X
• 1.375 + 5 = X
• 1,375 ÷ 5 = X
• 1,375 x 5 = X

SW represent multi-step problems with equations or strip diagrams that

have a letter standing for the unknown correctly in at least 4 out of 5

problems.