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4th grade (Eureka Math/EngageNY)
Unit 1: module 1: place value, rounding, and algorithms for addition and subtraction, unit 2: module 2: unit conversions and problem solving with metric measurement, unit 3: module 3: multi-digit multiplication and division, unit 4: module 4: angle measure and plane figures, unit 5: module 5: fraction equivalence, ordering, and operations, unit 6: module 6: decimal fractions, unit 7: module 7: exploring measurement with multiplication.
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Eureka Math Grade 5 Module 5 Lesson 15 Answer Key
Engage ny eureka math 5th grade module 5 lesson 15 answer key, eureka math grade 5 module 5 lesson 15 problem set answer key.
Question 1. The length of a flowerbed is 4 times as long as its width. If the width is “\(\frac{3}{8}\) meter, what is the area? Answer:
The width of the flower bed = 3/8 meters
The length of the flower bed is 4 times as long as its width
Which means, 3/8 x 4 = 12/ 8 = 3/2
Now, Area = length x width
A= 3/2 x 3/8
Therefore, the area of the flowerbed is 9/16 m 2 .
The measurement of basil plot on each side = 5/9 yard
A= 5/8 x 5/8 = 25/64
Therefore, the area of the basil plot = 25/64 yd 2
The measurement of basil plot in each side = 5/9 yard
= 15/8 or 1 7/8 feet
Now, the length of one side
2 feet + 2 feet + 1 7/8 feet
Perimetre = 4 x sides
= 4 x 5 7/8
= 20 + 3 4/8
Therefore, the perimetre of the fence = 23 1/2 feet.
The total area that the fence encloses
= length x width
= 5 7/8 x 5 7/8
= ( 5 x 5 ) + ( 5 x 7/8 ) +( 5 x 7/8 ) + ( 7/8 x 7/8 )
= 25 + 4 3/8 + 4 3/8 + 49/64
= 33 + 48/64 + 49/64
= 33 + 97/64
Therefore, the area that fence encloses = 34 33/64 square feet.
Question 3. Janet bought 5 yards of fabric 2\(\frac{1}{4}\)-feet wide to make curtains. She used \(\frac{1}{3}\) of the fabric to make a long set of curtains and the rest to make 4 short sets. a. Find the area of the fabric she used for the long set of curtains. b. Find the area of the fabric she used for each of the short sets. Answer:
Area = length x width
= 5 x 2 1/4
= 11 1/4 square feet
Therefore, the area of long set is 11 1/4 square feet
15 feet – 5 feet = 10 feet
1/4 of 10 is 2 1/2 feet
Now, the area of each set of shorter curtain
A = 2 1/2 x 2 1/2
( 2 x 2 ) + ( 2 x 1/2 ) + ( 2 x 1/2 ) + ( 1/2 x 1/2 )
= 4 + 1/2 + 1 + 1/8
= 5 + 1/2 +1/8
= 5 5/8 square feet
Therefore, the area of each set of shorter curtain is 5 5/8 square feet.
Question 4. Some wire is used to make 3 rectangles: A, B, and C. Rectangle bs dimensions are \(\frac{3}{5}\) cm larger than Rectangle A’s dimensions, and Rectangle C’s dimensions are \(\frac{3}{5}\) cm larger than Rectangle B’s dimensions. Rectangle A is 2 cm by 3\(\frac{1}{5}\) cm. a. What is the total area of all three rectangles? b. If a 40-cm coil of wire was used to form the rectangles, how much wire is left? Answer:
The area of rectangle A =
A = 2 X 3 1/5
= 6 2/5 square centimetres
Area of of rectangle B =
A = 2 3/5 cm x 3 4/5 cm
= 6 + 8/5 + 9/5 + 12/25
= 9 + 21/5 + 12/25
= 9 22/25 square centimetres
Area of rectangle C =
A = 3 1/5 cm x 4 2/5 cm
= 12 + 6/5 + 4/5 + 2/25
= 14 2/25 square centimetres
Total area of three rectangles =
= 6 2/5 + 9 22/25 + 14 2/25
= 29 + 2/5 + 24/25
= 29 +10/25 +24/25
= 30 9/25 square centimetres
Therefore, the area of three rectangles = 30 9/25 square centimetres.
Perimeter of rectangle A =
2 + 2 + 3 1/5 + 3 1/5
= 6 2/5 centimetres
Perimeter of rectangle B =
2 3/5 + 2 3/5 + 3 4/5 + 3 4/5
= 12 4/5 centimetres
Perimeter of rectangle C =
3 1/5 + 3 1/5 + 4 2/5 + 4 2/5
= 15 1/5 centimetres
Total perimeter =
1 2/5 cm + 12 4/5 cm + 15 1/5 cm
= 38 2/5 cm
Now, according to the given condition :
40 cm – 38 2/5 cm
Therefore, the leftover wire length = 1 3/5 cm.
Eureka Math Grade 5 Module 5 Lesson 15 Exit Ticket Answer Key
Wheat grass is grown in planters that are 3\(\frac{1}{2}\) inch by 1\(\frac{3}{4}\) inch. If there is a 6 × 6 array of these planters with no space between them, what is the area covered by the planters? Answer:
The area of planter =
3 1/2 x 1 3/4
( 3 x 1 ) + ( 3 x 3/4 ) + ( 1 x 1/2 ) + ( 1/2 x 3/4 )
= 3 + 9/4 + 1/2 + 3/8
= 24 + 18/8 + 4/8 + 3/8
=49/8 = 6 1/8
According to given condition
= 36 x 6 1/8
= 200 + 1/2
Therefore, the area covered by the planters = 200 1/2 square inches.
Eureka Math Grade 5 Module 5 Lesson 15 Homework Answer Key
Question 1. The width of a picnic table is 3 times its length. If the length is \(\frac{5}{6}\)-yd long, what is the area of the picnic table in square feet? Answer:
1 yard = 3 feet
The area of the picnic table =
5/6 x 3= 15/6 = 5/2 = 2 1/2 feet
Area = 2 1/2 x 7 1/2
A = 5/2 x 15 1/2
= 18 3/4 square feet
Therefore, the area of the table = 2 1/2 square yards.
The area of window A =
= 6 1/4 x 5 3/4
= 30 x 1 1/4 + 4 2/4 + 3/16
= 35 + 3/4 + 3/16
= 35 + 15/16
= 35 15/16 square feet
The area of window B =
= 12 1/2 square feet
The area of D =
4 x 8 = 32 square feet
The total area of the wall =
52 1/2 x 33
= 1716 + 33/2
= 1732 1/2 square feet
Now, the total area of A,B,C A and D
= 35 15/16 +12 1/2 + 32 + 9 1/2
= 22 + 35 15/16 +32
Now, the area of the painted wall =
1732 1/2 sq. ft – 89 15/16
= 1642 9/16 square feet
Therefor, the area of the wall painted = 1642 9/16 square feet.
The area of the smallest rectangle =
4 1/2 x 7 3/4
= 24 + 3 + 3 1/2 + 3/8
= 34 7/8 square inches
4 1/2 + 2 1/4
= 4 2/4 + 2 1/4
7 3/4 + 2 1/4 = 10
36 3/4 x 10
= 60 + 7 2/4
= 67 1/2 square inches
6 3/4 + 2 1/4 =9
9 x 12 1/4 =
= 108 + 2 1/4 = 110 1/4 square inches
d. 9 + 2 1/4 = 11 1/4
12 1/4 + 2 1/4 = 14 2/4
11 1/4 x 14 2/4
= 154 + 3 2/4 + 5 1/2 + 1/8
= 163 1/8 square inches.
So, the total area of the figure = 110 + 34 + 67 + 163
= 374 + 1 3/4
= 375 3/4 square inches
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Grade 4 Module 5 Collapse all Expand all. Fraction Equivalence, Ordering, and Operations . Eureka Essentials ... Homework Solutions Page. Promethean Flipchart Page. Google Slides Page. ... Lesson 15 Video Page. Lesson PDF Page. Homework Solutions Page. Promethean ...
It's Homework Time! Help for fourth graders with Eureka Math Module 5 Lesson 15.
Engage NY Eureka Math 4th Grade Module 5 Lesson 15 Answer Key Eureka Math Grade 4 Module 5 Lesson 15 Problem Set Answer Key. Question 1. Draw an area model for each pair of fractions, and use it to compare the two fractions by writing >, <, or = on the line. The first two have been partially done for you. Each rectangle represents 1.
EngageNY/Eureka Math Grade 4 Module 5 Lesson 15For more Eureka Math (EngageNY) videos and other resources, please visit http://EMBARC.onlinePLEASE leave a me...
Multiply non unit fractions by non unit fractions, common core, tape diagrams, area models, word problems, convert metric measure, simplify fractions, help t...
Problem Sets and Homework [ English] [ Spanish ] ... Grade 4 Module 5. Eureka Essentials: Grade 4. Fluency Games. Teach Eureka Lesson Breakdown. ... Lesson 13. Lesson 14. Lesson 15. Topic D: Fraction Addition and Subtraction. Lesson 16. Lesson 17. Lesson 18. Lesson 19. Lesson 20. Mid-module Review.
Unit 1: Module 1: Place value, rounding, and algorithms for addition and subtraction. 0/2000 Mastery points. Topic A: Place value of multi-digit whole numbers Topic B: Comparing multi-digit whole numbers Topic C: Rounding multi-digit whole numbers. Topic D: Multi-digit whole number addition Topic E: Multi-digit whole number subtraction.
Downloadable Homework Sheets below *Check your student's daytimer for the module/lesson Module 1. Module 1 Student Pages. Module 1 Answer Key. Module 1 Tips for Parents. Module 2. ... Module 5 Tips for Parents. Module 5 Answer Key 21-41. MOdule 6. Module 6 Student Pages. MOdule 7.
Lesson 15: Find common units or number of units to compare two fractions. Lesson 15 Homework 4• 5 Name Date 1. Draw an area model for each pair of fractions, and use it to compare the two fractions by writing >, <, or = on the line. The first two have been partially done for you.
Homework Helpers is designed to help parents/guardians with Eureka homework. These Helpers explain, step by step, how to work problems similar to those found in Eureka Math assignments. There is a homework helper to go with every homework assignment. ... Grade 4 Module 5. Comments (-1) Grade 4 Module 6. Comments (-1) Grade 4 Module 7. Comments ...
Eureka Math Grade 5 Module 4 Lesson 15 Problem Set Answer Key. Question 1. Solve. Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. The first one is done for you. a. 23 of 35. 23 × 35 = 615 = 25. b. 3 4 of 45 =.
NYS COMMON CORE MATHEMATICS CURRICULUM esson 15 Homework 4•L 4 Lesson 15: Classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size.
Lesson 15 Homework NYS COMMON CORE MATHEMATICS CURRICULUM 4 Lesson 15 : Understand and solve division problems with a remainder using the array and area models. Date: 8/28/13 3.E.25 ... Lesson 15 Homework NYS COMMON CORE MATHEMATICS CURRICULUM 4 Lesson 15 : Understand and solve division problems with a remainder using the array and area models. ...
Multiplication and Division of Fractions and Decimal Fractions. Eureka Essentials: Grade 5. An outline of learning goals, key ideas, pacing suggestions, and more! Fluency Games. Teach Eureka Lesson Breakdown. Downloadable Resources. Teacher editions, student materials, application problems, sprints, etc. Application Problems.
5 GRADE Mathematics Curriculum GRADE 5 • MODULE 4 Module 4: Multiplication and Division of Fractions and Decimal Fractions Table of Contents GRADE 5 • MODULE 4 Multiplication and Division of Fractions and Decimal Fractions
Eureka Math Grade 4 Module 4 Lesson 15 Exit Ticket Answer Key. Question 1. In the space below, draw a parallelogram. Answer: Question 2. Explain why a rectangle is a special parallelogram. Answer: Eureka Math Grade 4 Module 4 Lesson 15 Homework Answer Key. Question 1. Use the word bank to name each shape, being as specific as possible. a ...
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Grade 5. Gr5General. Gr5Mod1. Gr5Mod2. Gr5Mod3. Gr5Mod4. Grade 5 Module 4. Topic A: Line Plots of Fraction Measurements. Lesson 1. Video. Lesson PDF. Homework Solutions. Promethean Flipchart. Google Slides. Exit Ticket Solutions. Go Formative Exit Ticket. Topic B: Fractions as Division. Lesson 2. Lesson 3. Lesson 4. Lesson 5. Topic C ...
It's Homework Time! Help for fourth graders with Eureka Math Module 5 Lesson 5.
Engage NY // Eureka Math Grade 5 Module 5 Lesson 4 Homework. Engage NY // Eureka Math Grade 5 Module 5 Lesson 4 Homework.
Eureka Math Grade 5 Module 5 Lesson 15 Problem Set Answer Key. Question 1. The length of a flowerbed is 4 times as long as its width. If the width is " 38 meter, what is the area? Answer: Given, The width of the flower bed = 3/8 meters. The length of the flower bed is 4 times as long as its width. Which means, 3/8 x 4 = 12/ 8 = 3/2.
Grade 4 Module 5. Topic A: Decomposition and Fraction Equivalence ... Lesson 1. Lesson 2. Lesson 3. Lesson 4. Video. Lesson PDF. Homework Solutions. Promethean Flipchart. Google Slides. Exit Ticket Solutions. Go Formative Exit Ticket ... Lesson 10. Lesson 11. Topic C: Fraction Comparison. Lesson 12. Lesson 13. Lesson 14. Lesson 15. Topic D ...
Grade eureka math 3rd blogthis email twitterEureka math worksheets 6th grade Eureka math 4th grade module 1 lesson 7 homeworkEureka module engage supplemental. ... 3rd grade Eureka math practice worksheets grade 2Eureka math grade 3 module 5 lesson 15. ... Details. Eureka Math 4th Grade Module 1 Lesson 7 Homework - Tommie Bolinger's. Check ...
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1 Module 4: Breaking Through Barriers Cornelia Twilley American College of Education CI 5353: Standard-Driven Learning Dr. Stephanie Schaefer May 5, 2024 Strategies Based on Research In 2023, a total of twenty Illinois schools were awarded the National Blue-Ribbon award for high academic performance and closing the achievement gap. In this total are eleven elementary public schools, three ...