Basic 1 · Mathematics · Number Operations

Word Problems: Joining, Separating and Comparing

In this topic you will solve number stories. You will join groups, separate groups and compare groups within 20.

By the end of these notes you should be able to:

  • Solve joining (adding) stories within 20
  • Solve separating (taking away) stories within 20
  • Compare two groups using more, fewer and equal

What you already know

  • Adding and subtracting

Copy everything that has a blue line on its left into your notebook. The other parts are for reading.

Strand
Number
Sub-strand
Number Operations
Indicator
B1.1.2.2.1 – Use objects and pictorial models to solve word problems involving joining separating and comparing sets within 20

Introduction

Look at your class. There are 3 girls and 3 boys at the front. The groups are the same size. We say they are equal.

1. Equal Groups

Equal (=) means "the same as".

3 girls = 3 boys because both groups have 3.

Two rows of counters, one with 7 and one with 4, matched one to one
Figure 1: Comparing 7 and 4 Draw the two rows and circle the extra counters.Illustration: Sirbus

2. More and Fewer

Match the objects one to one. The group with extra objects has more.

Example

Kofi has 7 marbles. Ama has 4 marbles. Who has more? How many more?

  1. Match 4 of Kofi's marbles with Ama's 4.
  2. Kofi has 3 marbles left over.

Answer: Kofi has 3 more marbles. 7 – 4 = 3.

3. Joining and Separating Stories

Story types
StoryWhat to doExample
JoiningAdd9 goats and 6 goats: 9 + 6 = 15
SeparatingSubtract15 eggs, 5 break: 15 – 5 = 10
ComparingSubtract12 and 8: 12 – 8 = 4 more

Remember: To find "how many more", take the smaller number from the bigger one.

New words

equal
The same number.
more
Having a bigger number.
fewer
Having a smaller number.
compare
To look at two groups to see which is bigger.

Summary

  • Equal means the same number.
  • Joining stories need adding. Separating stories need taking away.
  • To compare, match one to one or subtract.

Class activity: Story Time

  1. Your teacher tells a number story.
  2. Use bottle tops to act out the story.
  3. Write the number sentence.
  4. Make up your own story for your group to solve.

You need: Bottle tops, Bundles of sticks, Exercise books

Exercises

Answer in your exercise book first, then check your answers.

  1. 1. Which group has more: 5 or 9?

    • A. 5
    • B. 9
    • C. They are equal
    • D. None
    Show answer
    Answer: 99 is bigger than 5.
  2. 2. Esi has 14 beads. She loses 4. How many are left?

    • A. 18
    • B. 10
    • C. 4
    • D. 11
    Show answer
    Answer: 1014 – 4 = 10.
  3. 3. 6 cups and 6 plates are equal groups.

    • A. True
    • B. False
    Show answer
    Answer: TrueBoth groups have 6.
  4. 4. 8 is fewer than 5.

    • A. True
    • B. False
    Show answer
    Answer: False8 is more than 5.
  5. 5. 10 + 6 = ______

    Show answer
    Answer: 16Count on 6 from 10.
  6. 6. Yaw has 12 crayons. Akosua has 9. How many more crayons does Yaw have?

    Show answer
    Answer: 3 more12 – 9 = 3.

Homework

  1. Count the boys and girls in your house. Who are more? How many more?