We included HMH Into Math Grade 4 Answer Key PDF Module 3 Lesson 2 Distinguish Between Multiplicative and Additive Comparisons to make students experts in learning maths.
HMH Into Math Grade 4 Module 3 Lesson 2 Answer Key Distinguish Between Multiplicative and Additive Comparisons
I Can identify and represent multiplicative and additive comparison problems.
Spark Your Learning
Shanil makes a hexagon using 6 toothpick’s. Rachel uses 2 more toothpicks than Shanil to make a shape. Leo uses 2 times as many toothpicks as Shanil to make a shape.
Use a visual model to show the number of toothpicks Shanil, Rachel, and Leo each use.
Turn and Talk How is showing 2 more than 6 different from showing 2 times as many as 6?
Shanil, has hexagon
Rachel has octagon
, and Leo decagon
Build Understanding
1. Victor makes 4 paper cranes. Natalie makes 3 times as many cranes as Victor. How many paper cranes does Natalie make?
Explanation:
A. How can you use an equation to model the number of cranes Natalie makes? How many does she make?
Explanation:
Number of cranes Natalie makes = Number of cranes Victor makes x 3
4 x 3 = 12
B. Suppose James makes 3 more cranes than Victor. What equation can you use to model the number of cranes James makes?
Number of cranes Victor makes = 4
Number of cranes James makes = 3 x 4 = 12
C. How are the two equations different?
Explanation:
The product is same but equations are different.
Turn and Talk Which of your two equations models a multiplicative comparison problem? How do you know?
Explanation:
4 x 3 = 12
and
3 x 4 = 12
This type of equations are multiplicative comparison problems.
Step It Out
2. Maria makes a peacock with 8 feathers. Simon uses 4 more feathers than Maria. How many feathers does Simon use?
A. Complete the bar model to show the problem.
Explanation:
B. Write an equation to model the problem.
__ + ___ = n
___ = n
Explanation:
8 + 4 = n
12 = n
C. Simon uses ___ feathers.
Explanation:
Simon uses 12 feathers.
3. Desiree uses 4 times as many feathers as Maria. How many feathers does Desiree use?
A. Complete the bar model.
B. Write an equation.
__ × ___ = n
= ___ n
Explanation:
Maria makes a peacock with 8 feathers.
8 × 4 = n
= 32 n
C. Desiree uses ___ feathers.
Explanation:
Desiree uses 32 feathers.
Turn and Talk How are the two situations in Tasks 2 and 3 different?
Explanation:
2 task is based on the addition
3 task is based on the multiplication
Check Understanding Math Board
Question 1.
Ming mixes 2 cups of red paint with white paint. She uses 4 more cups of white paint than red paint. How many cups of white paint does Ming use? Is this an additive or multiplicative comparison problem? Explain how you know without solving.
Answer:
8 cups of white paint
Explanation:
Ming mixes 2 cups of red paint with white paint.
She uses 4 more cups of white paint than red paint
2 + 4 = 6
8 cups of white paint that Ming use
This is an additive comparison.
On Your Own
Question 2.
Reason Cory makes these finger puppets. Jackie makes 6 times as many puppets as Cory. How many puppets does Jackie make? Is this an additive or multiplicative comparison problem? Explain how you know without solving.
Answer:
Jackie make 24 puppets
Explanation:
Cory makes 4 finger puppets
Jackie makes 6 times as many puppets as Cory
4 x 6 = 24 puppets
this is a multiplicative comparison problem.
Question 5.
Model with Mathematics Jen takes 6 minutes to make a paper animal. Brian takes 5 more minutes than Jen to make a paper animal. Kai takes 5 times as many minutes as Jen. How many minutes does it take Brian and Kai to each make a paper animal? Write an equation to model and solve each problem. Use n for the unknown.
Brian: _____
Kai: _____
Answer:
Explanation:
Brian: 11 minutes
Kai: 30 minutes
Jen takes 6 minutes to make a paper animal.
Brian takes 5 more minutes than Jen to make a paper animal.
6 + 5 = 11
Kai takes 5 times as many minutes as Jen
6 x 5 = 30
Question 4.
Use Tools Hassan mixes 2 cups of water with oil to make a lava lamp. He uses 3 times as much oil as water. How many cups of oil does Hassan use? Use the bar model and write an equation to solve the problem. Use c for the unknown.
Answer:
Explanation:
Hassan mixes 2 cups of water with oil to make a lava lamp.
He uses 3 times as much oil as water
2 x 3 = 6
Hassan mixes 6 cups of oil
I’m in a Learning Mindset!
Is there anything still unclear to me about the difference between additive and multiplicative comparison problems? Explain.
______________________________________
No,
additive means addition equation.
multiplicative means multiplication equation.