Eureka Math Grade 5 Module 5 Lesson 13 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 5 Lesson 13 Answer Key

Eureka Math Grade 5 Module 5 Lesson 13 Problem Set Answer Key

Question 1.
Find the area of the following rectangles. Draw an area model if it helps you.
a. \(\frac{5}{4}\) km × \(\frac{12}{5}\) km
b. 16\(\frac{1}{2}\) m × 4\(\frac{1}{5}\) m
c. 4\(\frac{1}{3}\) yd × 5\(\frac{2}{3}\) yd
d. \(\frac{7}{8}\) mi × 4\(\frac{1}{3}\) mi
Answer:

a.

5/4 x 12/5

= 60/20

= 3

Therefore, 3 square kilometres

b.

16 1/2 x 4 1/5

= (16 x 4) + ( 16 x 1/5) + ( 4 x 1/2) x ( 1/2 x 1/5 )

= 64 + 16/5 + 2 + 1/10

= 66 33/10

= 66 3/10

Therefore, 69 3/10 square metres

c.

4 1/3 x 5 2/3

4 x 5 + 4 x 2/3 + 5 x 1/3 + 1/3 x 2/3

= 20 +8/3 +5/3 +2/9

= 20 41/9

= 24 5/9

Therefore, 24 5/9 square yards

d.7/8 mi x 4 1/3 mi

= (7/8 x 4) + (7/8 x 1/3)

= 84/24 + 7/24

= 91/24

=3 19/24

Therefore, 3 19/24 sq. mi

Question 2.
Julie is cutting rectangles out of fabric to make a quilt. If the rectangles are 2\(\frac{3}{5}\) inches wide and 3\(\frac{2}{3}\) inches long, what is the area of four such rectangles?
Answer:

Given, the measurements of the rectangles =

2 3/5 x 3 2/3

=( 2 x 3 ) + (2 x 2/3) + (3 x 3/5) + ( 3/5 x 2/3)

= 6 + 4/3 + 9/5 + 6/15

=6+53/15

=6 + 3 8/15

= 9 8/15 square inches

Now, number of rectangles = 4

So, 4 x 9 8/15

36 + 32/15

= 36 + 2 2/15

= 38 2/15

Therefore, 38 2/15 square inches.

Question 3.
Mr. Howard’s pool is connected to his pool house by a sidewalk as shown. He wants to buy sod for the lawn, shown in gray. How much sod does he need to buy?
Eureka Math Grade 5 Module 5 Lesson 13 Answer Key (1)
Answer:

Given, the measurements of the lawn = 24 1/2 yd by 24 1/2 yd

The area of the lawn =

24 1/2 x 24 1/2

= (24 x 24 ) + (24 x 1/2 ) + (24 x 1/2) + ( 1/2 x 1/2)

= 576 + 12 +12 +1/4

=600 1/4 square yards

The area of the pool house = 16 square yards

The area of the pool =

7 1/2 yd x 2 1/2 yd

= 14 + 3 1/2 + 1 + 1/4

= 18 3/4

The area of sidewalk = 1 yd x 3 yd = 3 yd

Now, the amount of sod Howard needs to buy =

6001/4 – 16 – 18 3/4 – 3

= 581 1/4 – 18 2/4

= 580 5/4 – 18 3/4

= 562 1/2 square yards

Therefore, Howard need 562 1/2 square yards of sod.

Eureka Math Grade 5 Module 5 Lesson 13 Exit Ticket Answer Key

Find the area of the following rectangles. Draw an area model if it helps you.
Question 1.
\(\frac{7}{2}\) mm × \(\frac{14}{5}\) mm
Answer:

7/2 mm x 4/5 mm

= 7/2 x 4/5

= 98/10

= 9 4/5 square mm

Question 2.
5\(\frac{7}{8}\) km × \(\frac{18}{4}\) km
Answer:

5/8 km x 18/4 km

= 5/8 x 18/4

= 90/32

= 26 7/16 square kilometres.

Eureka Math Grade 5 Module 5 Lesson 13 Homework Answer Key

Question 1.
Find the area of the following rectangles. Draw an area model if it helps you.
a. \(\frac{8}{3}\) cm × \(\frac{24}{4}\) cm
b. \(\frac{32}{5}\) ft × 3\(\frac{3}{8}\) ft
c. 5\(\frac{4}{6}\) in × 4 \(\frac{3}{5}\) in
d. \(\frac{5}{7}\) m × 6\(\frac{3}{5}\) m
Answer:

a.

8/3 cm x 24/4 cm

= 8/3 x 24/4

= 16

Therefore, 16 square centimetres

b.

32/5 feet x 3 3/8

32/5 = 6 2/5

= 18 + 18/8 + 6/5 + 9/40

= 18 + 2 1/4 + 1 1/5 + 9/40

= 21 + 27/40

Therefore, 21 27/40 square feet

c.

5 4/6 feet x 4 3/5 feet

( 5 x 4 ) + ( 5 x 3/5) + (4/6 x 4 ) + ( 4/6 x 3/5)

= 20 + 15/5 + 16/6 + 12/30

=20 + 3 + 8/3 + 2/5

= 25 +20/30 + 12/30

= 26 2/30

= 26 1/15

Therefore, 26 1/15 square inches

d.

5/7 m x 6 3/5 m

= 5/7 x 6 3/5

= 30/7 + 15/35

= 4 2/7 + 3/7

= 4 5/7

Therefore, 4 5/7 square inches

Question 2.
Chris is making a tabletop from some leftover tiles. He has 9 tiles that measure 3\(\frac{1}{8}\) inches long and 2\(\frac{3}{4}\) inches wide. What is the greatest area he can cover with these tiles?
Answer:

Given, the measurements of the tiles =

3 1/8 x 2 3/4

= 6 + 9/4 + 2/8 + 3/32

= 6 +2 1/4 + 1/4 + 3/32

= 8 19/32

Now, the greatest area he can cover with 9 tiles=

= 9 x 8 19/32

= 72 + 191/32

= 72 +5 11/32

= 77 11/32 square inches.

Therefore, the greatest area he can cover = 77 11/32.

Question 3.
A hotel is recarpeting a section of the lobby. Carpet covers the part of the floor as shown below in gray. How many square feet of carpeting will be needed?
Eureka Math Grade 5 Module 5 Lesson 13 Answer Key (2)
Answer:

a.

31 7/8 x 19 1/2

= ( 31 x 19) + ( 31 x 1/2 ) + (19 x 7/8 ) + ( 7/8 x 1/2)

= 589 + 31/2 + 133/8 + 7/16

= 589 + 15 1/2 + 16 5/8 + 7/16

= 620 + 1/2 + 5/8 + 7/16

= 630 + 8/16 + 10/16 + 7/16

= 620 25/16 square feet.

b. 13 3/5 feet x 11 3/4 feet

= ( 13 x 11) + ( 13 x 3/4 ) + (3/5 x 11 ) + ( 3/5 x 3/4)

= 143 + 9 3/4 + 6 3/5 + 9/20

=158 + 15/20 + 12/20 + 9/20

=158 36/20

= 159 16/20

= 159 4/5 square feet

c.

12 x 3 3/4

= 36 + 36/4

= 45 square feet

d.

17 x 2 1/2

= 34 + 17/2

= 34 + 8 1/2

= 42 1/2 square feet

Now,

159 4/5 + 45 + 42 1/2

= 247 3/10 square feet

So, 621 9/16 – 247 3/10

= 384 21/80

Therefore, 384 21/80 square feet of carpeting is needed.

Eureka Math Grade 5 Module 5 Lesson 13 Answer Key (2024)

FAQs

What grade does Eureka math go up to? ›

Eureka Math® is a holistic Prekindergarten through Grade 12 curriculum that carefully sequences mathematical progressions in expertly crafted modules, making math a joy to teach and learn. We provide in-depth professional development, learning materials, and a community of support.

What are the four core components of a Eureka Math TEKS lesson? ›

A typical Eureka lesson is comprised of four critical components: fluency practice, concept development (including a problem set), application problem, and student debrief (including the Exit Ticket).

Is Eureka Math a curriculum? ›

An Elementary, Middle, And High School Math Curriculum. Eureka Math® is a math program designed to advance equity in the math classroom by helping students build enduring math knowledge.

Who made the Eureka math book? ›

Munson's group, which later changed its name to Great Minds, teamed up with Scott Baldridge, a Louisiana State University math professor who is Eureka's lead writer. They soon won a contract with New York Education Department to create Eureka, or Engage New York.

What is the hardest math in 5th grade? ›

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines.

What's the hardest math class? ›

1. Real Analysis: This is a rigorous course that focuses on the foundations of real numbers, limits, continuity, differentiation, and integration. It's known for its theoretical, proof-based approach and can be a paradigm shift for students used to computation-heavy math courses.

Is Eureka Math scripted? ›

Eureka Math is scripted for the teacher and anticipates student responses, which is very useful for studying in advance. This makes each module easy to follow and easy to understand what is expected.

What is the structure of the Eureka math lesson? ›

Each lesson in A Story of Units is comprised of four critical components: fluency practice, concept development (including the problem set), application problem, and student debrief (including the Exit Ticket).

How many states use Eureka math? ›

We wrote EngageNY Math, and over time we developed that program into Eureka Math. The original OER curriculum is available on the EngageNY and Great Minds sites for free, and it has been downloaded over 13 million times by users in all 50 states, making Eureka Math the most widely used K–5 math program in the country.

Is Eureka Math good or bad? ›

Is Eureka Math a good curriculum? The answer to this question depends on the target audience. If you're a teacher in a public school who needs to cover State Standards and your goal is merely to prepare students for State tests, then Eureka may be a good curriculum for you.

What are teachers saying about Eureka Math? ›

“The difference for teachers with Eureka Math2 is they have a better understanding of how to teach kids to think about math. That's what they've learned with the manual. They're not just teaching a concept or skill. They're teaching the thinking that helps students attack a concept or skill,” says May.

Does Khan Academy align with Eureka Math? ›

To access our aligned resources, go to the Courses dropdown menu in the top left corner of your screen and select See all Math. From the Math page you can view all Math courses including the courses aligned to the Eureka Math/EngageNY curriculum.

Are Zearn and Eureka Math the same? ›

Zearn Math K–5 lessons follow the scope and sequence of Eureka Math/EngageNY. All Middle School materials align to Eureka Math/EngageNY on the unit level and may be reordered to directly follow the curriculum's scope and sequence.

What is the newest version of Eureka Math? ›

Eureka Math2 New York Next Gen is fully aligned to the Next Generation Learning Standards and provides the knowledge-building content students need to build a deep, conceptual understanding of mathematics and empowers teachers during instruction to make it happen.

What is the highest level of math in 9th grade? ›

9th grade math usually focuses on Algebra I, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry.

What is 8th grade advanced math? ›

Students on the advanced math track will take Algebra. This standards-based class covers the second half of Math 8 as well as high school-level Algebra I and is designed to prepare students for geometry in ninth grade. Placement is based on prior grades, teacher recommendations, and district benchmark testing scores.

What grade level does prodigy math go up to? ›

With 1,500+ curriculum-aligned math skills for 1st to 8th grade, Prodigy Math is so much more than a game. Prodigy Math is an engaging game-based learning platform that's dedicated to improving students' confidence and achievements in math.

What is the highest math class ever? ›

Math 55 is a two-semester freshman undergraduate mathematics course at Harvard University founded by Lynn Loomis and Shlomo Sternberg. The official titles of the course are Studies in Algebra and Group Theory (Math 55a) and Studies in Real and Complex Analysis (Math 55b).

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