Eureka Math Lesson 36 Homework 4.3 Answer Key

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To help the students answer their Eureka Math homework, there are a number of sites providing the Eureka Math answer keys for each grade and lesson. If the students already know the trusted site to visit in order to get the Eureka Math answer keys, they just simply visit the site and get them.

One of the trusted sites that the students can visit is EMBARC Online.  This site actually provides a hundred of answer keys for each grade, so you can find the answer keys depending on your grade and lesson easily. We’ll also show you the answer keys for Eureka Math Lesson 36 Homework 4.3 that we got from EMBARC Online site. Let’s see them below!

Here’s A List of Eureka Math Lesson 36 Homework 4.3 Answer Keys!

  1. The first question consists of two questions, including:

a. In each of the two models pictured below, write the expressions that determine the area of each of the four smaller rectangles.
b. Using the distributive property, rewrite the area of the large rectangle as the sum of the areas of the four smaller rectangles. Express first in number form and then read in unit form.

Answer:

a. In each of the two models pictured below, write the expressions that determine the area of each of the four smaller rectangles.

b. 13 x 12 = (3 x 10) + (3 x 2) + (10 x 10) + (10 x 2)

  1. Use an area model to represent the following expressions. Record the partial products and solve. 17 x 34

Answer: Use an area model to represent the following expressions. Record the partial products and solve. 17 x 34

Question 3-4

Draw an area model to represent the following expressions. Record the partial products vertically and solve.

  1. 45 x 18
  2. 45 x 19

Answer:

  1. Draw an area model to represent the following expressions. Record the partial products vertically and solve 45 x 18
  2. Draw an area model to represent the following expressions. Record the partial products vertically and solve 45 x 19

Question 5 – 8

Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps)

  1. 12 x 47
  2. 23 x 93
  3. 23 x 11
  4. 23 x 22

Answer:

  1. Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps) 12 x 47
  2. Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps) 23 x 93
  3. Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps) 23 x 11
  4. Visualize the area model and solve the following numerically using four partial products. (You may sketch an area model if it helps) 23 x 22

Well, that’s a list of answer keys for Eureka Math Lesson 36 Homework 4.3. Hopefully, the answer keys that we show above will help you answer your Eureka Math homework. If you need more Eureka Math answer keys for other grades and lessons, you just visit EMBARC Online site here.

What Do the Grade 4 Students Learn in Lesson 36 Module 3?

According to the EngageNY site, the grade 4 students in lesson 36 module 3 learn about multiplying two-digit by two-digit numbers using four partial products.

The suggested lesson structure in this lesson 36 module 3 include:

  • Fluency Practice (12 minutes)
  • Application Problem (6 minutes)
  • Concept Development (32 minutes)
  • Student Debrief (10 minutes)

Total Time (60 minutes)

Here’s for each explanation:

  1. Fluency Practice (12 Minutes)

In the Fluency Practice section, there are three main sections, including:

  • Draw a Unit Fraction

To draw a unit fraction, the material that students will need is a personal white board. In this section, the students are allowed to review Grade 3 geometry and fraction concepts in anticipation of Module 4 and 5. Make sure to create reasonable drawings. To review the concept and take too long, the students shouldn’t use the ruler.

  • Divide Three Different Ways (4 minutes)

In this section, the material you will need is a personal white board. It allows the students to review lesson 32 and 33.

  • Multiply by Multiples of 10 Written Vertically (4 minutes)

In this section, the material you will need is a personal white board. It allows the students to review lesson 35’s content.

  1. Application Problem (6 Minutes)

The section of application problems actually establishes prior learning from Lesson 35. In this section, the students might use an area model and partial products to multiply a two-digit number of 10 by a two-digit number using an area model.

The section will also help the students to connect today’s lesson to apply prior knowledge of the area model and partial products to represent and solve two-digit by two-digit multiplication.

The example of activity on the Application Problem is ‘Mr. Goggins set up 30 rows of chairs in the gymnasium. If eachrow had 35 chairs, how many chairs did Mr. Goggins set up?’.

Then, ask the students to draw an area model to represent and to assist solve this problem. The teacher can also ask them to discuss with a partner how the area model will help you to solve 30 x 35.

  1. Concept Development (32 Minutes)

The material you will need in the section of Concept Development is a personal white board. Here are the example of activities that the teachers can assign to the students:

  • Problem 1: Use the distributive property to represent and solve two-digit by two-digit multiplication.
  • Problem 2: Find the product of 23 and 31 using an area model and partial products to solve.
  • Problem 3: Find the product of 26 and 34 using partial products. Verify partial products using the area model.
  • Problem 4: Find the product of 26 and 34 without using an area model. Record the partial products to solve.

About Problem Sets found in this section, the students have to do their personal best to complete the Problem Set within the allotted 10 minutes. For some classes, it may be suitable to modify the assignment by specifying which problems that they work on first. In this section, the students have to solve those problems using the RDW approach used for Application Problems.

  1. Student Debrief (10 minutes)

In the last section, the Student Debrief is intended to invite reflection and also activate processing of  the total lesson experience. The teacher may need to invite the students to review their solutions for the Problem Set.

In addition to reviewing their solutions of the Problem Set, the students also have  to check work by comparing answers with a partner. The teachers should also  find out misunderstandings or misconceptions  that are addressed in the Debrief. They can also guide students in a conversation to debrief the Problem Set.

Here are the examples of questions that teachers can ask to students:

  • How does Problem 1(a) support your understanding of the distributive property and partial products?
  • How do Problems 1 and 2 help to prepare you to solve Problems 3, 4, 5, and 6?
  • How is it helpful to think about the areas of each rectangle in terms of units?
  • Etc.

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