Eureka Math Grade 5 Module 3 Lesson 1 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 3 Lesson 1 Answer Key

Eureka Math Grade 5 Module 3 Lesson 1 Sprint Answer Key

A
Write the Missing Factor

Question 1.
10 = 5 × ___
Answer:
2
Explanation :
10 = 5 × x
x= \(\frac{10}{5}\)
x = 2

Question 2.
10 = 2 × ___
Answer:
10 = 2 × 5
Explanation :
10 = 2 × y
y = \(\frac{10}{2}\)
y = 2

Question 3.
8 = 4 × ___
Answer:
8 = 4 × 2
Explanation :
8 = 4 × y
y = \(\frac{8}{4}\)
y = 2

Question 4.
9 = 3 × ___
Answer:
9 = 3 × 3
Explanation :
9 = 3 × y
y = \(\frac{9}{3}\)
y = 3

Question 5.
6 = 2 × ___
Answer:
6 = 2 × y
Explanation :
6 = 2 × y
y = \(\frac{6}{2}\)
y = 3

Question 6.
6 = 3 × ___
Answer:
6 = 3 × 2
Explanation :
6 = 3 × y
y = \(\frac{6}{3}\)
y = 2

Question 7.
12 = 6 × ___
Answer:
12 = 6 × 2
Explanation :
12 = 6 ×y
y = \(\frac{12}{6}\)
y = 2

Question 8.
12 = 3 × ___
Answer:
12 = 3 × y
Explanation :
12 = 3 ×y
y = \(\frac{12}{3}\)
y = 4

Question 9.
12 = 4 × ___
Answer:
12 = 4 × y
Explanation :
12 = 4 ×y
y = \(\frac{12}{4}\)
y = 3

Question 10.
12 = 2 × 2 × ___
Answer:
12 = 2 × 2 × 3
Explanation :
12 = 2 × 2 ×y
12 = 4 ×y
y = \(\frac{12}{4}\)
y = 3

Question 11.
12 = 3 × 2 × ___
Answer:
12 = 3 × 2 × 2
Explanation :
12 = 3 × 2 ×y
12 = 6 × y
y = \(\frac{12}{6}\)
y = 2

Question 12.
20 = 5 × 2 × ___
Answer:
20 = 5 × 2 × 2
Explanation :
20 = 5 × 2 × y
20 = 10 × y
y = \(\frac{20}{10}\)
y = 2

Question 13.
20 = 5 × 2 × ___
Answer:
20 = 5 × 2 × 2
Explanation :
20 = 5 × 2 × y
20 = 10 × y
y = \(\frac{20}{10}\)
y = 2

Question 14.
16 = 8 × ___
Answer:
16 = 8 × 2
Explanation :
16 = 8 × y
y = \(\frac{16}{8}\)
y = 2

Question 15.
16 = 4 × 2 × ___
Answer:
16 = 4 × 2 × 2
Explanation :
16 = 4 × 2 × y
16 = 8 × y
y = \(\frac{16}{8}\)
y = 2

Question 16.
24 = 8 × ___
Answer:
Explanation :
16 = 4 × 2 × y
16 = 8 × y
y = \(\frac{16}{8}\)
y = 2

Question 17.
24 = 4 × 2 × ___
Answer:
Explanation :
16 = 4 × 2 × y
16 = 8 × y
y = \(\frac{16}{8}\)
y = 2

Question 18.
24 = 4 × ___ × 2
Answer:
Explanation :
16 = 4 × 2 × y
16 = 8 × y
y = \(\frac{16}{8}\)
y = 2

Question 19.
24 = 3 × 2 × ___
Answer:
Explanation :
16 = 4 × 2 × y
16 = 8 × y
y = \(\frac{16}{8}\)
y = 2

Question 20.
24 = 3 × ___ × 2
Answer:
24 = 3 × 2 × 2
Explanation :
24 = 3 × y × 2
24 = 6 × y
y = \(\frac{24}{6}\)
y = 4

Question 21.
6 × 4 = 8 × ___
Answer:
6 × 4 = 8 × 3
Explanation :
6 × 4 = 8 × y
24= 8 × y
y = \(\frac{24}{8}\)
y = 3

Question 22.
6 × 4 = 4 × 2 × ___
Answer:
6 × 4 = 4 × 2 × 3
Explanation :
6 × 4 = 8 × y
24= 8 × y
y = \(\frac{24}{8}\)
y = 3

Eureka Math Grade 5 Module 3 Lesson 1 Problem Set Answer Key

Question 1.
Use the folded paper strip to mark points 0 and 1 above the number line and \(\frac{0}{2}\),\(\frac{1}{2}\),and \(\frac{2}{2}\) below it.

Draw one vertical line down the middle of each rectangle, creating two parts. Shade the left half of each. Partition with horizontal lines to show the equivalent fractions \(\frac{2}{4}\), \(\frac{3}{6}\), \(\frac{4}{8}\),and \(\frac{5}{10}\). Use multiplication to show the change in the units.

\(\frac{1}{2}\) = \(\frac{1 \times 2}{2 \times 2}\) = \(\frac{2}{4}\)
Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 2 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 4 parts by drawing a vertical line in middle and horizontal line in the middle .
The Rectangle figure 2 divided into 6 parts by drawing a vertical line in middle and 2 horizontal lines.
The Rectangle figure 3 divided into 8 parts by drawing a vertical line in middle and 3 horizontal lines.
The Rectangle figure 4 divided into 10 parts by drawing a vertical line in middle and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{2}\) = \(\frac{1 \times 2}{2 \times 2}\) = \(\frac{2}{4}\).

Question 2.
Use the folded paper strip to mark points 0 and 1 above the number line and \(\frac{0}{3}\), \(\frac{1}{3}\), \(\frac{2}{3}\),and \(\frac{3}{3}\) below it. Follow the same pattern as Problem 1 but with thirds.

Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 3 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 6 parts by drawing 2 vertical lines and 1 horizontal lines .
The Rectangle figure 2 divided into 9 parts by drawing 2 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 8 parts by drawing 2 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 10 parts by drawing 2 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{3}\) =\(\frac{3}{9}\)= \(\frac{4}{12}\)=\(\frac{5}{12}\).

Question 3.
Continue the pattern with 3 fourths.

Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 4 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 8 parts by drawing 3 vertical lines and 1 horizontal line .
The Rectangle figure 2 divided into 12 parts by drawing 3 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 16 parts by drawing 3 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 20 parts by drawing 3 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{4}\) =\(\frac{2}{8}\)= \(\frac{3}{12}\)=\(\frac{4}{16}\)=\(\frac{5}{20}\)

Question 4.
Continue the process, and model 2 equivalent fractions for 6 fifths.

Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 5 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 10 parts by drawing 4 vertical lines and 1 horizontal line .
The Rectangle figure 2 divided into 15 by drawing 4 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 20 parts by drawing 4 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 25 parts by drawing 4 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{5}\) =\(\frac{2}{10}\)= \(\frac{3}{15}\)=\(\frac{4}{20}\)=\(\frac{5}{25}\)

Eureka Math Grade 5 Module 3 Lesson 1 Exit Ticket Answer Key

Estimate to mark points 0 and 1 above the number line, and \(\frac{0}{6}\), \(\frac{1}{6}\), \(\frac{2}{6}\) , \(\frac{3}{6}\), \(\frac{4}{6}\), \(\frac{5}{6}\), and \(\frac{6}{6}\) below it. Use the squares below to represent fractions equivalent to 1 sixth using both arrays and equations.

Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 6 equal parts and its fraction values \(\frac{0}{6}\), \(\frac{1}{6}\), \(\frac{2}{6}\) , \(\frac{3}{6}\), \(\frac{4}{6}\), \(\frac{5}{6}\), and \(\frac{6}{6}\) are written
The Rectangle figure 1 divided into 12 parts by drawing 5 vertical lines and 1 horizontal line .
The Rectangle figure 2 divided into 18 parts by drawing 5 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 24 parts by drawing 5 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 30 parts by drawing 5 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{6}\) =\(\frac{2}{12}\)= \(\frac{3}{18}\)=\(\frac{4}{24}\)=\(\frac{5}{30}\)

Eureka Math Grade 5 Module 3 Lesson 1 Homework Answer Key

Question 1.
Use the folded paper strip to mark points 0 and 1 above the number line and \(\frac{0}{3}\), \(\frac{1}{3}\), \(\frac{2}{3}\),and \(\frac{3}{3}\) below it.

Draw two vertical lines to break each rectangle into thirds. Shade the left third of each. Partition with horizontal lines to show equivalent fractions. Use multiplication to show the change in the units.

\(\frac{1}{3}\) = \(\frac{1 \times 2}{3 \times 2}\) = \(\frac{2}{6}\)
Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 3 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 6 parts by drawing 2 vertical lines and 1 horizontal lines .
The Rectangle figure 2 divided into 9 parts by drawing 2 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 8 parts by drawing 2 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 10 parts by drawing 2 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{3}\) =\(\frac{3}{9}\)= \(\frac{4}{12}\)=\(\frac{5}{12}\).

Question 2.
Use the folded paper strip to mark points 0 and 1 above the number line and \(\frac{0}{4}\), \(\frac{1}{4}\), \(\frac{2}{4}\), \(\frac{3}{4}\), and \(\frac{4}{4}\) below it. Follow the same pattern as Problem 1 but with fourths.

Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 4 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 8 parts by drawing 3 vertical lines and 1 horizontal line .
The Rectangle figure 2 divided into 12 parts by drawing 3 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 16 parts by drawing 3 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 20 parts by drawing 3 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{4}\) =\(\frac{2}{8}\)= \(\frac{3}{12}\)=\(\frac{4}{16}\)=\(\frac{5}{20}\)

Question 3.
Continue the pattern with 4 fifths.

Answer:

Explanation :
The number is represented from 0 to 1 and it is partitioned into 5 equal parts and its fraction values are written .
The Rectangle figure 1 divided into 10 parts by drawing 4 vertical lines and 1 horizontal line .
The Rectangle figure 2 divided into 15 by drawing 4 vertical line and 2 horizontal lines.
The Rectangle figure 3 divided into 20 parts by drawing 4 vertical line and 3 horizontal lines.
The Rectangle figure 4 divided into 25 parts by drawing 4 vertical line and 4 horizontal lines.
All the left side parts of the rectangles are shaded to show \(\frac{1}{5}\) =\(\frac{2}{10}\)= \(\frac{3}{15}\)=\(\frac{4}{20}\)=\(\frac{5}{25}\)

Question 4.
Continue the process, and model 2 equivalent fractions for 9 eighths. Estimate to mark the points on the number line.

Answer:

Explanation :
The number is represented from 0 to \(\frac{9}{8}\) and it is partitioned into 9 equal parts and its fraction values are written .
The First two Rectangles are divided into 24 equal parts of each rectangle. the first rectangle is shaded completely and in second rectangle only one column is shaded to represent \(\frac{9}{8}\)= \(\frac{27}{24}\).
The third and fourth Rectangles are divided into 32 equal parts of each rectangle. the third rectangle is shaded completely and in fourth rectangle only one column is shaded to represent \(\frac{9}{8}\)= \(\frac{36}{32}\).

Eureka Math Grade 5 Module 3 Lesson 1 Answer Key (2024)

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