Lesson Objective
The lesson is aligned to the Common Core State Standards for Mathematics – 4.OA.2 Operations and Algebraic Thinking – Multiply or divide to solve word problems involving multiplicative comparison.
Materials Required
Calculator
Using Multiplication to Solve Word Problems Involving Multiplicative Comparisons
Part A
Look at the word problem below.
Jacob’s dog weighs 3 times as much as Aaron’s dog. Aaron’s dog weighs 14 pounds. How much does Jacob’s dog weigh?
This word problem can be represented by a multiplication equation. The weight of Jacob’s dog is unknown. Let w represent the weight of Jacob’s dog.
w = 3 x 14
w = 42
Jacob’s dog weighs 42 pounds.
Part B
Look at the word problems below. Write a multiplication equation for each word problem. Solve the equations and label your answers.
- Ashley has a kitten that weighs 2 times as much as Carly’s kitten. Carly’s kitten weighs 4 pounds. How much does Ashley’s kitten weigh?
- Jasmine has 2 times as many stickers as Chloe. Chloe has 12 stickers. How many stickers does Jasmine have?
Answers:
- Let k = the weight of Ashley’s kitten. k = 2 x 4, k = 8, Ashley’s kitten weighs 8 pounds.
- Let s = the number of stickers Jasmine has. s = 2 x 12, s = 24, Jasmine has 24 stickers.
Using Division to Solve Word Problems involving Multiplicative Comparisons
Part A
Look at the word problem below.
Darren’s dog weighs 36 pounds. Darren’s dog weighs 3 times as much as Corey’s dog. How much does Corey’s dog weigh?
This word problem can be represented by a division equation. The weight of Corey’s dog is unknown. Let c represent the weight of Corey’s dog.
c = 36 / 3
c = 12
Cory’s dog weighs 12 pounds.
Part B
Look at the word problems below. Write a multiplication equation for each word problem. Solve the equations and label your answers.
- Andy’s kitten weighs 9 pounds. Andy’s kitten weighs 3 times as much as Dave’s kitten. How much does Dave’s kitten weigh?
- James has 51 stickers. James has 3 times as many stickers as Chuck. How many stickers does Chuck have?
Answers:
- Let d = the weight of Dave’s kitten. d = 9/3, d = 3, Dave’s kitten weighs 3 pounds.
- Let c = the number of stickers Chuck has. c = 51/3, c = 17, Chuck has 17 stickers.
Individual or Group Work
Use multiplication or division to solve the word problems about a video game. Write the equation for each word problem. Solve the equations and label your answers.
- Ken’s score on a video game is 540 points. Ken’s score is 4 times as many points as Alex’s score. How many points is Alex’s score?
- Tanya scored 3 times as many points as Stacy on a video game. Stacy scored 57 points. How many points did Tanya score?
- Peter scored 4 times as many points as Bob on a video game. Bob scored 84 points. How many points did Peter score?
- Ben’s score on a video game is 990 points. Ben’s score is 3 times as many points as John’s score. How many points is John’s score?
- Emily scored 2 times as many points as Sarah on a video game. Sarah scored 63 points. How many points did Emily score?
Answers:
- Let a = Alex’s points. a = 540 / 4, a = 135, Alex’s score is 135 points.
- Let t = Tanya’s points. t = 3 x 57, t = 171, Tanya’s score is 171 points.
- Let p = Peter’s points. p = 4 x 84, p = 336, Peter’s score is 336 points.
- Let j = John’s points. j = 990 / 3, j = 330, John’s score is 330 points.
- Let e = Emily’s points. e = 2 x 63, e = 126, Emily’s score is 126 points.
This post is part of the series: Mathematics Lesson Plan
- Multiplicative Comparisons
- Word Problems Involving Multiplicative Comparisons
- Multistep Word Problems
- Factors and Multiples
- Teaching About Patterns
- Assessment on Math Series