We included HMH Into Math Grade 3 Answer Key PDF Module 16 Lesson 2 Represent Equivalent Fractions with Larger Parts to make students experts in learning maths.
HMH Into Math Grade 3 Module 16 Lesson 2 Answer Key Represent Equivalent Fractions with Larger Parts
I Can represent a fraction with equal parts that are larger in size than the equal parts of an equivalent fraction.
Spark Your Learning
Thea is a landscaper. According to her design, \(\frac{2}{3}\) of the garden should contain red roses. She plants red roses in \(\frac{4}{6}\) of her new garden, not \(\frac{2}{3}\). Does Thea make a mistake?
Show a way to solve the problem.
Answer:
No, Thea didn’t make a mistake.
Turn and Talk Thea’s design and garden represent the same-sized whole. How do the number of parts and the size of the parts compare in each fraction?
Answer:
\(\frac{2}{3}\) is equivalent to the fraction \(\frac{4}{6}\).
Build Understanding
Question 1.
At soccer practice. Coach Penny draws a diagram in which she divides the field into 8 equal-sized zones. The 6 zones closest to the goal are the scoring zones.
Use Coach Penny’s diagram to show the area she uses for the scoring zones.
Answer:
Coach Ruiz divides the same field into 4 equal-sized zones. Coach Ruiz’s scoring zones are the 3 zones closest to the goal. Use Coach Ruiz’s diagram to show the area he uses for the scoring zones.
A. What fraction can you write for the area of the field that Coach Penny uses for the scoring zones?
Answer:
\(\frac{6}{8}\) is the area of the field that Coach Penny uses for the scoring zones
B. What fraction can you write to represent Coach Ruiz’s scoring zones?
Answer:
\(\frac{3}{4}\) is the fraction that represents Coach Ruiz’s scoring zones.
C. How do the fractions compare for the area of Coach Penny’s and Coach Ruiz’s scoring zones? Explain.
Answer:
Both the fractions are equivalent. Coach Penny’s and Coach Ruiz’s scoring zones are equal.
Turn and Talk Which coach’s soccer field diagram has a greater number of scoring zones? In which diagram are the scoring zones greater in size? Explain.
Answer:
Coach Penny’s soccer field has a greater number of scoring zones and Coach Ruiz’s scoring zones are greater in size.
Question 2.
Two relay teams race across Lomas Park. The Red Team divides the distance equally among 6 runners. The Blue Team divides the distance equally among 3 runners.
A. Show how both teams divide the race into equal distances.
Answer:
B. The first 4 runners for the Red Team and the first 2 runners for the Blue Team complete their parts of the race. Use the drawings to show the distances that the teams complete.
Answer:
C. Locate and draw a point to show how much of the race each team completes. Complete the number line and show the fractions.
Answer:
D. How do the fractions of the race that each team completes compare? Which team completes more of the race? Explain.
Answer:
Both the teams has completed same area.
Turn and Talk When the same whole is divided into a fewer total number of equal parts, are the parts larger or smaller? Explain.
Answer:
When the same whole is divided into a fewer total number of equal parts, the parts are larger.
Check Understanding
Question 1.
Divide and shade the model to show an equivalent fraction.
Answer:
Explanation:
I shaded \(\frac{2}{4}\) to show the equivalent fraction for \(\frac{4}{8}\) .
Question 2.
Draw a point to show \(\frac{2}{6}\). Then write the equivalent fraction.
Answer:
Explanation:
The equivalent fraction for \(\frac{2}{6}\) is \(\frac{1}{3}\) .
On Your Own
Question 3.
Attend to Precision Mrs. Ash shades \(\frac{1}{2}\) of a rectangle. Will shades 3 of 6 sections of a same-sized rectangle.
Will says that the 3 of 6 sections he shades are equivalent to \(\frac{1}{2}\), so both rectangles have the same area shaded. Is he correct? Explain why or why not.
Answer:
No, Will is not correct
Explanation:
Mrs. Ash shades \(\frac{1}{2}\) of a rectangle.
Will shades 3 of 6 sections of a same-sized rectangle but he doesn’t divide the pats in equal size
So, Will is not correct
In the above problem the shaded part of Mr. Ash is not equal to the shaded part of Mr. Will even the rectangles are of same size.
Locate and draw a point on the number line for the fraction. Then write the equivalent fraction.
Question 4.
\(\frac{6}{6}\) = 
Answer:
Explanation:
\(\frac{6}{6}\) = 
Question 5.
\(\frac{4}{8}\) =
Answer:
Explanation:
\(\frac{4}{8}\) = 
Question 6.
Use Structure Tim says that \(\frac{2}{8}\) of his water bottle is filled. John says that \(\frac{1}{4}\) of the bottle is filled. Are the two fractions equivalent? Draw a visual model to support your answer.
Answer:
Explanation:
The two fractions \(\frac{2}{8}\) and \(\frac{1}{4}\) are same.
I drew a visual model to support my answer by shading the parts 2 of 8 and 1 of 4, both the shaded parts are equal.
I’m in a Learning Mindset!
With whom should I talk to learn more about finding equivalent fractions?
Answer: