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Multiplication as Equal Groups

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  • Here we have 16 counters arranged in an array A rectangular collection. Here our number is represented in rows and columns. .
  • We can write a times table multiplication A common multiplication fact that we should learn, from 1 x 1 up to 12 x 12. for every equal group of items that we have.
  • A group is an equal group if it has the same number of items as all of the other groups.
  • Multiplication means ‘equal groups of’ and is written with a multiplication sign: ‘×’.
  • For example: 4 × 4 can be read as ‘4 equal groups of’ 4.

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  • Here we have 16 counters and we will group together counters that form the number 16.
  • We have 1 group of 16, so 1 × 16 = 16.
  • We have 2 equal groups of 8 counters, so 2 × 8 = 16.
  • We have 4 equal groups of 4 counters, so 4 × 4 = 16.
  • We have 8 equal groups of 2 counters, so 8 × 2 = 16.
  • We have 16 equal groups of 1 counter, so 16 × 1 = 16.
  • The number of groups multiplied by the number of counters in each group form our times tables.

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  • Division as Sharing

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Equal Groups Multiplication Worksheets and Answers

grouping multiplication into equal groups worksheet pdf

Introducing Multiplication by Grouping Objects into Equal Groups

an array of 16 counters for teaching multiplication arrays

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Course: 3rd grade   >   Unit 1

Multiplication as equal groups.

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Math Skills For Kids - 100% Free Resources For Math Practice - Math Worksheets, Games And Printable

  • Multiplication Exercices
  • Count Equal Groups

Equal Groups Multiplication | Understand multiplication Concept

Multiplication equal groups test and printable worksheets.

Equal groups multiplication is the best and basic way to solve multiplication problems with no stress. This is because the equal groups are usually presented with visually stimulating models, which can enable kids to understand multiplication concept in a sweet and easy way.

TEST - Multiplication equal groups

Click the sections below to find more explanation on this topic.

Mastering the multiplication concepts is a perfect way for kids to boast their strength in math.

The test on multiplication equal groups will in another way connect your kids to several familiar concepts, such as repeated addition.

Multiplication means you have a certain number of groups of equal size. The certain number of groups can be said to be 5, while the same group size may be 3s. Thus 5 x 3 , which also means 5 groups of 3 , hence 3 + 3 + 3 + 3 + 3 .

learning-multiplication-with-equal-group_07

Objective - Multiplication equal group test and printable worksheets

The main objective in our multiplication equal groups test and printable worksheets below, is for kids are to count equal groups and fill in the blank spaces.

These blank spaces to be filled contain the number of groups of apples and the number of apple in each group.

Equally important, our aim of designing such a beautiful idea is to know how well kids can interpret various descriptions of equal group, and to evaluate their understanding of multiplication.

As a matter of fact, these designs are going to enable kids practice counting in a more special and effective way.

Example - easy way to obtain number of groups and group size

Now we have as example 3 groups of apples and 4 apples in each group .

learning-multiplication-with-equal-group_01

This example above has simply produced our multiplication sentence of 3 x 4

It is very easy. Just think of repeated addition, or three groups of 4s. It will however be. 4 + 4 + 4 = 12 .

Wow! I really like this. It is very simple. 3 x 4 = 12

In another way, we could decide to count the number of apples one by one, beginning from the first group. Here we go; 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 .

Download multiplication equal groups worksheets

Equal Groups Multiplication - Understand multiplication Concept

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  • Equal Groups

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Equal Groups Meaning

Maths is all about dealing with problems and implementing them practically in your daily life. There is nothing like a learning concept but an understanding to solve and get the right answer. One such example includes the concept of equal groups. As the name suggests, the identical groups or, say, an equal number of items are even grouped. Certain further concepts make your work easier in solving different real-life problems. In the below article, you will understand basic multiplication, addition, and counting in such groups. Also, you will understand how these groups are made. 

What are Equal Groups?

Usually, the uniform groups concept is made through word problems where students will also understand problem-solving skills. These problems have several such, even groups, and your work is to find out the missing number. Let us understand this concept of equal groups math with the help of an example in detail.

Suppose you have 21 balls, and you need to put them inside 3 bags so that each bag has an equal amount. How will you solve this problem? 

The problem is of division among three bags. Each bag will get 7 balls with the solution as 21 ÷ 3 = 7. 

3 bags get 7 balls in each

In the above diagram, you can see 3 bags get 7 balls in each. 

When the concept of uniform groups comes into maths, your problem becomes quite easy and simpler. It is because you are given total items and groups. Your only work is to distribute. The problems can be either solved through division or multiplication. These two basic operations are used because both division and multiplication deal with this concept of equal division. 

Making Equal Groups

When we divide, the name clearly defines that we will separate total items into equal parts from identical groups. Each group will be having the same number of items. But how will you bring uniformity in the groups? The concept is based upon our visualisation. 

Suppose we have a term 6 ÷ 2 = 3. It means there are a total of 6 items, and we need to make 2 groups having the same number of items. Here the result is 3. There will be two groups having three items. 

three parallelograms in each of them

In the above diagram, we have created two groups with three parallelograms in each of them. 

Suppose now the question is 6 ÷ 3. Here, we have 6 items, and we need to divide these items into three groups as in the below diagram. 

We get, 

three groups, each having 2 parallelograms in them

In the above diagram, there are three groups, each having 2 parallelograms in them. 

Equal Groups Multiplication

The name clearly says equal groups meaning. But in the case of equal groups multiplication, we will be given groups and items in each of them. Our task is to find the total number of items added. 

Consider the below example:

We have 4 even groups with 3 items in each of them. How will you find the total number of items you have?

In multiplication. 4 x 3 will give your answer, as in the below diagram. 

4 groups with three parallelograms in each

In the above picture, there are 4 groups with three parallelograms in each. Thus the total items will be 12, which is equal to 4 x 3. 

Adding Equal Groups

Adding equal groups contains two different types of identical groups. One group has an even number of items, and the second one has an odd number of items. Let us study each of them in detail one by one.  

Even items: 

Suppose we have 4 groups with 2 capsules in each. We need to perform basic addition and find the total number of capsules we have, as in the below diagram. 

4 groups have 2 capsules in each

In the above diagram, 4 groups have 2 capsules in each. Thus addition of all will be 2 + 2+ 2 + 2 = 8 capsules. 

Counting the total of the items in odd-even groups having odd items is as follows. 

three groups with 5 telephones in each

In the above diagram, there are three groups with 5 telephones in each. Thus the total telephones will be given by 5 + 5 + 5 = 15. 

It is how we do counting equal groups and adding them to get a total number of items. 

Equal groups year 1 will include basic multiplication and division problems to solve. 

Working with uniform groups is to solve word problems and relate them with real-life applications. 

Equal groups mean equality among all to have an equal number of objects. 

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FAQs on Equal Groups

1. Why Do We Need the Concept of Identical Groups?

Ans: With the concept of uniform groups having the same number of items, we can solve many real-world problems. This division can be of an object or a whole number into equal parts to have identical groups. We can divide weight, dimensions, the volume of a substance and provide equal share with the equal division. It can be further understood when five friends bought 10 balls and want them to divide equally among them. Without any further conflict, they can get two each. Thus the concept of equal division has prevented their friendship and raising conflicts. Here each friend represents a group, and 10 balls represent a total number of items.

2. How Will You Define Word Problems in Equal Groups?

Ans: While solving a word problem, it might take much time if you operate manually. However, mathematics has simplified the issue with the new concept of equal division. Instead of finding answers manually, you can now get a solution to a problem in a maximum of two lines. The only concept is to follow up multiplication and division. These two are opposite to one another. If we perform multiplication, that means we have items divided among groups and the groups. We will be evaluating the sum of the items in the groups. In the case of division, we have total items and the number of groups. With division, we will get items divided among these groups. 

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Word Problems on Equal Groups Worksheet

Assess your math skills by solving word problems on equal groups in this worksheet..

Word Problems on Equal Groups Worksheet

Know more about Word Problems on Equal Groups Worksheet

Improve your child's proficiency in multiplication with this worksheet. Students will apply multiplication to real-world situations. They will work with equal group scenarios. The worksheet requires them to make sense of each story situation and represent the situation using expressions. The worksheet involves two 1-digit numbers, it is important for students to gain confidence in a concept by working at different levels of complexity.

Describing Equal Groups Worksheet

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  1. Write and solve a math problem in which you need to find how many equal

    elvia261 12/05/2017 Mathematics Middle School verified answered • expert verified Write and solve a math problem in which you need to find how many equal groups Advertisement elvia261 is waiting for your help. Add your answer and earn points. Add answer +5 pts Expert-Verified Answer question 2 people found it helpful fichoh

  2. Equal groups (video)

    Lesson 1: Multiplication as equal groups Equal groups Math > 3rd grade > Intro to multiplication > Multiplication as equal groups Equal groups Google Classroom About Transcript Sal finds the number of objects in equal groups using skip counting and repeated addition. Questions Tips & Thanks Want to join the conversation? Sort by: Top Voted

  3. 3rd Grade Math 6.3, Number of Equal Groups

    We model division word problems to find the number of equal groups by using counters and putting the same amount into each group. Then we count the groups we have made. We discuss how to...

  4. Equal Groups in Math

    88 ÷ 8 = 11 Henceforth, 11 buses are needed for the field trip. How do you use equal groups? When using equal groups, you will either multiply or divide. Depending on what is unknown. 1)...

  5. Mathway

    Algebra Free math problem solver answers your algebra homework questions with step-by-step explanations.

  6. Division as equal groups (video)

    For example, for the problem 12 divided by 3 (or 3 into 12), we would need to subtract 3 four times from 12 to get to 0: 12-3=9, 9-3=6, 6-3=3, and 3-3=0. So the answer is 4. Also in long division problem, every digit in the answer involves a subtraction step. This, in a way, can be thought of as repeated subtraction.

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    Get math help in your language. Works in Spanish, Hindi, German, and more. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

  8. Equal Groups

    We can represent equal groups as a multiplication expression and then solve it to find the answer. Let's consider the same example of equal groups of stars. So, the total number of stars = 4 × 6 = 24 stars. Equal Groups as Division Sentence Division means distributing something into equal groups.

  9. Equal groups (practice)

    Course: 3rd grade > Unit 1 Math > 3rd grade > Intro to multiplication > Multiplication as equal groups Equal groups Use the image below to help fill in the blanks. There are sixes. So, there are bananas in all. Stuck? Review related articles/videos or use a hint. Report a problem Do 4 problems

  10. Multiplication as Equal Groups

    . We can write a times table multiplication A common multiplication fact that we should learn, from 1 x 1 up to 12 x 12. for every equal group of items that we have. A group is an equal group if it has the same number of items as all of the other groups. Multiplication means 'equal groups of' and is written with a multiplication sign: '×'.

  11. Multiplication as equal groups (video)

    Ian Pulizzotto. Multiply the numbers without the zeros at the end, then place the total number of zeros at the end of the result. In your example, do 1x2=2, then place a total of 2+3=5 zeros at the end. So 100x2000 = 200,000.

  12. Equal Groups Multiplication

    Equal groups multiplication is the best and basic way to solve multiplication problems with no stress. This is because the equal groups are usually presented with visually stimulating models, which can enable kids to understand multiplication concept in a sweet and easy way. TEST - Multiplication equal groups

  13. Step-by-Step Calculator

    To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem. Show more

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    Example: 2x-1=y,2y+3=x What can QuickMath do? QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose.

  15. Multiplication as Equal Groups

    If a group contains the same number of items as all the other groups, it is considered to be equal. The multiplication sign, ×, denotes multiplication, which signifies "equal groupings of.". For example, 3 × 3 can be read as 3 equal groups of 3. For another example, 5 × 5 can be read as 5 equal groups of 5.

  16. Equal Groups

    Each bag will get 7 balls with the solution as 21 ÷ 3 = 7. In the above diagram, you can see 3 bags get 7 balls in each. When the concept of uniform groups comes into maths, your problem becomes quite easy and simpler. It is because you are given total items and groups. Your only work is to distribute.

  17. Math Problem Solving Part 4: Equal Groups Story Problems

    There are 3 basic types of equal groups problems: # of groups and # in each group are known # of groups and total are known # in each group and total are known Pictured here is an illustration of the strategy which can be used for multiplication and division problems. Get my FREE packet right here: Equal groups strategy with template.

  18. Quiz & Worksheet

    Determine what an equal group is. Review examples of equal groups. Practice using the two appropriate operations. Take a quick interactive quiz on the concepts in Equal Groups in Math | Definition ...

  19. PDF Lesson 6.3 Name Number of Equal Groups Operations and Algebraic Also

    Hands On • Underline what you need to find. • How many shells does Juan want to put in each group? • Look at the 12 counters. • Circle a group of 3 counters. • Continue circling groups of 3 until all 12 counters are in groups. There are _ groups of counters. So, Juan needs _ boxes for his shells. Math Talk MATHEMATICAL PRACTICES

  20. Equal Groups

    Strengthen your child's equal groups skills with interactive educational resources for equal groups for 2nd graders online. These learning resources include fun games and worksheets with eye-catching visuals and characters. Get started to help your 2nd grader master this concept by engaging their critical thinking. Personalized Learning.

  21. Word Problems on Equal Groups

    4567+. Improve your child's proficiency in multiplication with this worksheet. Students will apply multiplication to real-world situations. They will work with equal group scenarios. The worksheet requires them to make sense of each story situation and represent the situation using expressions. The worksheet involves two 1-digit numbers, it is ...

  22. PDF Size of Equal Groups

    Size of Equal Groups ~"-""" COMMONCORESTANDARD-3.0A.A.2 Represent and solve problemsinvolving multiplication and division. Use counters or draw a quick picture. Make equal groups. Complete the table. 8. Alicia has 12 eggs that she will use to make 4 different cookie recipes.

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