my homework lesson 5 repeated addition with arrays

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Course: 2nd grade   >   Unit 1

Adding with arrays.

• Using arrays in word problems
• Repeated addition: haircuts
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Video transcript

Addition with Arrays

Our Addition with Arrays lesson plan teaches students how to use arrays to show repeated addition. Students learn lesson vocabulary and practice finding the total number of objects in an array using repeated addition.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to create another activity where students match cards with arrays on them to cards with repeated addition statements.

Description

Additional information, what our addition with arrays lesson plan includes.

Lesson Objectives and Overview: Addition with Arrays uses the concept of arrays to show repeated addition. The lesson defines arrays, including horizontal and vertical. It also presents illustrations, which show both how a correct array appears and groups that are not arrays. At the end of the lesson, students will be able to find the total number of objects in an array using repeated addition. This lesson is for students in 1st grade and 2nd grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand. For this lesson, the only supplies you will need are stickers, small cards of half sheets of paper, and the handouts. To prepare for this lesson ahead of time, you can gather the supplies and copy the handouts.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to create another activity where students match cards with arrays on them to cards with repeated addition statements. If your students grasp the concepts in this lesson early, you could also have students write the repeated addition equations as multiplication facts.

Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

ADDITION WITH ARRAYS LESSON PLAN CONTENT PAGES

The Addition with Arrays lesson plan includes two pages of content. The lesson begins by explaining that an array is an arrangement of objects, pictures, or numbers in rows and columns. Rows are horizontal and columns are vertical. For example, seats in a theater are in rows, while we see columns in front of a house.

We can use arrays to organize objects into rows and columns. The rows and columns in an array have to have equal numbers. The lesson shows a few correct examples of arrays and a few incorrect examples of arrays.

We can use arrays to show repeated addition. For example, if someone is making dog treats, they might arrange them as an array on their cookie sheet. In this example, they have three rows and seven columns of treats. The repeated addition sentence for this array is 7 + 7 + 7. It uses the number of columns (7) and repeats it by the number of rows (3).

The lesson then includes two more examples. One of these example shows an array with five rows and six columns. The repeated addition sentence for this array would be 6 + 6 + 6 + 6 + 6. The other example has three rows and four columns. That repeated addition sentence would be 4 + 4 + 4.

ADDITION WITH ARRAYS LESSON PLAN WORKSHEETS

The Addition with Arrays lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

STICKER ARRAYS ACTIVITY WORKSHEET

For the activity worksheet, students use small sheets of stickers to create arrays on paper using the stickers with different numbers of rows and columns. The students then hold up their arrays for the teacher to check. The teacher will determine which arrays the students will create. Students can also write repeated addition sentences next to the arrays.

ADDITION SENTENCES PRACTICE WORKSHEET

For the practice worksheet, students will write addition sentences for different arrays.

ADDITION WITH ARRAYS HOMEWORK ASSIGNMENT

The homework assignment asks students to look at arrays and answer questions about them. For each array, they will determine how many rows and columns are shown. They will also write a repeated addition sentence for each array.

This lesson includes a quiz that you can use to test your students’ knowledge and understanding of the lesson material. For the quiz, students will draw arrays for two repeated addition equations.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet, the homework assignment, and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

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McGraw Hill My Math Grade 3 Chapter 4 Lesson 3 Answer Key Multiply with Arrays

All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 4 Lesson 3 Multiply with Arrays  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Answer Key Chapter 4 Lesson 3 Multiply with Arrays

• Make an array on a piece of paper. Arrange the tiles in 4 rows with 3 tiles in each row. Draw the array.
• Count. What is the total number of tiles? ____
• Turn your paper. There are now ____ rows with ___ tiles in each row. Draw what the array looks like now.
• Count. What is the total number of tiles? _____ So, there are the same number of tiles, ____, if you turn the array.

Explanation: One way: I drew an array that has 4 rows and 3 columns The addition sentence that shows the equal rows is 3 + 3 + 3 + 3 = 12 The multiplication sentence that represents the array is 4 x 3 = 12

Another way: I turned the array and it has 2 rows and 5 columns The addition sentence that shows the equal rows is 4 + 4 + 4 = 12 The multiplication sentence that represents the array is 3 x 4 = 12.

Explanation: One way: I drew an array that has 5 rows and 2 columns The addition sentence that shows the equal rows is 2 + 2 + 2 + 2 + 2 = 10 The multiplication sentence that represents the array is 5 x 2 = 10

Another way: I turned the array and it has 2 rows and 5 columns The addition sentence that shows the equal rows is 5 + 5 = 10 The multiplication sentence that represents the array is 2 x 5 = 10.

Talk About It

Question 1. Mathematical PRACTICE 2 Stop and Reflect What is the connection between repeated addition and an array? Answer: An array is a collection of numbers arranged in a specific manner. This arrangement is either in rows or columns. A Repeated Addition Array is used tofind the total number of similar elements in an array through addition.

Question 2. How can you use an array to model the Commutative Property? Answer: The commutative property of multiplication can be neatly illustrated using an array. An array could be read as rows of, or as columns of. Or the array could be physically turned around to show that rows of has the same number as rows of.

Question 3. List 3 everyday objects that are arranged in an array. Answer: Books, glasses and boxes in house are usually arranged in an array.

Practice It

Draw an array to find the product.

Explanation: I drew an array to find the product of 4 x 2 2 + 2 + 2 + 2 = 8 4 x 2 = 8 Therefore, the product is 8.

Explanation: I drew an array to find the product of 3 x 5 5 + 5 + 5 3 x 5 = 15 Therefore, the product is 15.

Write an addition sentence and a multiplication sentence to show equal rows.

Explanation: The addition sentence that shows equal rows is 5 + 5 + 5 + 5 = 20 The multiplication sentence that shows equal rows is 4 x 5 = 20.

Explanation: The addition sentence that shows equal rows is 3 + 3 + 3 = 9 The multiplication sentence that shows equal rows is 3 x 3 = 9.

Explanation: The addition sentence that shows equal rows is 3 + 3 = 6 The multiplication sentence that shows equal rows is 2 x 3 = 6.

Question 9. Use the Commutative Property of Multiplication to write another multiplication sentence for Exercise 8. ____ × ____ = _____ Answer: 2 x 3 = 6

Explanation: 2 x 3 has 2 rows and 3 columns Change rows to columns to find another sentence 3 rows and 2 columns Another multiplication sentence for 2 x 3 = 6 is 3 x 2 = 6.

Question 10. Describe a real-world situation for Exercise 6. Answer: Sheela has 4 trays of eggs. Each tray has 5 eggs. How many eggs does Sheela has in all.

Explanation: Sheela has 4 trays of eggs Each tray has 5 eggs The multiplication sentence that solves the problem is 4 x 5 4 x 5 = 20 So, Sheela has 20 eggs in all.

Explanation: Marcos has 3 sheets of stickers Each sheet has 4 stickers on it The multiplication sentence is 3 x 4 3 x 4 = Use repeated addition 4 + 4 + 4 = 12 So, 3 x 4 = 12 Therefore, Macros has 12 stickers in all.

Explanation: An array is an orderly arrangement (often in rows, columns or a matrix) that is most commonly used as a visual tool for demonstrating multiplication and division. The picture that is circled is not arranged in rows and columns. So, it does not represent an array.

Explanation: The above drawn array has 6 rows and 3 columns The multiplication sentence is 6 x 3 6 x 3 = 18 So, the unknown number in the given sentence is 3.

Write About It

Question 14. How can I use an array to model multiplication? Answer: An array helps you to understand multiplication by visualising it. It makes sense of your times tables. For example, an array shows that, when multiplying two numbers together, the order of those numbers can be switched around. By way of an example, let’s take a look at two arrays: 2 x 4 and 4 x 2 . 2 x 4 = 8 and 4 x 2 = 8.

McGraw Hill My Math Grade 3 Chapter 4 Lesson 3 My Homework Answer Key

Explanation: I drew an array to find the product of 5 x 7 7 + 7 + 7 + 7 + 7 5 x 7 = 35 Therefore, the product is 35.

Explanation: I drew an array to find the product of 6 x 5 5 + 5 + 5 + 5 + 5 + 5 6 x 5 = 30 Therefore, the product is 30.

Explanation: The addition sentence that shows equal rows is 2 + 2 + 2 + 2 = 8 The multiplication sentence that shows equal rows is 4 x 2 = 8.

Explanation: The addition sentence that shows equal rows is 5 + 5 + 5 + 5 + 5 = 25 The multiplication sentence that shows equal rows is 5 x 5 = 25.

Vocabulary Check

Explanation: The above drawn arrays model of 2 x 3 = 6 The first array has 2 rows and 3 columns 2 x 3 = 6 The second array has 3 rows and 2 columns 3 x 2 = 6 The multiplication sentences 2 x 3 = 6 and 3 x 2 = 6 has same product and represent commutative property of multiplication So, the arrays show the meaning of commutative property of multiplication.

Problem Solving

Explanation: Suki’s watercolor set has 3 rows of paint There are 8 colors in each row I drew an array with 3 rows and 8 columns The multiplication sentence that solve the problem is 3 x 8 = 3 x 8 = 24 So, Suki’s watercolor has 24 colors in the set.

Explanation: A checkerboard has 8 rows, with 8 squares in each row I drew an array with 8 rows and 8 columns The multiplication sentence that sole the problem is 8 x 8 = 8 x 8 = 64 So, the total number of squares in the checkerboard has 64 squares.

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