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CBSE Class 1 · Mathematics

How Many Times? (Multiplication)

Official NCERT chapter from Joyful Mathematics (English) (book code aejm1). ExamMaster notes are original teaching at CBSE Class 1 depth.

This lesson follows the official chapter “How Many Times? (Multiplication)” in Joyful Mathematics (English). The words below are ExamMaster’s teaching, not a paste from the book. Use the NCERT chapter for the classroom sequence; use these notes to hold the idea without copying exercises or figures.

  • CBSE Class 1
  • Easy level
  • 8 concepts

1Two children on one horse are one equal group

If the rule is “two to a horse”, one horse with two children is one equal group. A horse with one child is not a full group.

The group size is the rule. The number of horses is how many groups.

Figure. The rule is two to a horse. A horse with two children is one equal group. A horse with one child is not a full group.

How it works

  1. Name the group sizeTwo children.
  2. See one full horseThat is one group.
  3. Refuse a leftover child as a groupNot full.

2Equal groups are the start of “how many times”

“How many times” asks how many equal groups. Four horses with two children each is 4 times 2, not a random pile.

Unequal groups are not this chapter’s times. They are a leftover story.

Figure. How many times counts equal groups. Four groups of two is 4 times 2. A mixed pile is not this times.

How it works

  1. Fix the group sizeThe same every group.
  2. Count the groupsHow many times.
  3. Join the groupsThat join is the total.

3Skip-count to find the total

Groups of 2: 2, 4, 6, 8. That skip-count is the running total. It is not a new number system.

Skip-count only by the group size you named. Skipping by 3 when the group is 2 is a different story.

Figure. Skip-count by the group size you named. Groups of 2: 0, 2, 4, 6, 8. The last word is the total, not a new kind of number.

How it works

  1. Name the skip2.
  2. Say the next words2, 4, 6, …
  3. Stop after the last groupThat last word is the total.

4An array is rows of equal groups

Three rows of four dots is 3 times 4. Each row is one equal group. A messy scatter is not an array.

You may also read 4 columns of 3. Same dots, two times-sentences.

Figure. An array is rows of equal groups. Three rows of four is 3 times 4. The same dots can also be read as 4 columns of 3.

How it works

  1. See a rowOne equal group.
  2. Count the rowsHow many groups.
  3. JoinRows \times group size.

55 times 3 is five groups of three

5 × 3 means five groups, each of size 3. It is 3 + 3 + 3 + 3 + 3. It is not 5 + 3.

The first number counts groups. The second names the size. Swapping them swaps the story, even if the total matches later.

Figure. 5 times 3 means five groups, each of size 3. That is 3 + 3 + 3 + 3 + 3. It is not 5 + 3.

How it works

  1. Draw five groupsEach group has 3.
  2. Join3 + 3 + 3 + 3 + 3.
  3. Read 15Five times three.

Five groups of three

5 horses with 3 children each. How many children?

  • Group size3
  • Five groups3 + 3 + 3 + 3 + 3
  • Total15

Pro tip. 5 \times 3 is repeated 3, not 5 + 3.

6One leftover seat is not a full group

If the rule is two to a horse and one child has no partner, that leftover is not a group of two.

The leftover waits. Do not force it into a times-sentence.

Figure. If the rule is two to a horse, three pairs are three groups. The leftover child is not a group of two. Keep it out of the times-sentence.

How it works

  1. Fill full groupsPairs only.
  2. See the leftoverOne child.
  3. Keep it out of the timesIt is a remainder, not a group.

7A repeated add is the same join

Times is a short name for adding the same number again. 4 × 2 is 2 + 2 + 2 + 2.

If the addends are not the same, you may still add — but you may not call it this times.

Figure. Times is a short name for adding the same number again. 4 times 2 is 2 + 2 + 2 + 2. Mixed addends are not this times.

How it works

  1. Write the repeated addSame number, again.
  2. Count how many addsThat is the times.
  3. Refuse mixed addendsNot this times.

8A story at the park decides the group size

“Two on a horse” sets size 2. “Three on a bench” sets size 3. The park story picks the size. You do not.

Changing the size mid-count makes the times mute.

Figure. The park story picks the group size. Two on a horse locks size 2. Three on a bench locks size 3. Changing size mid-count makes the times mute.

How it works

  1. Hear the storyHow many to a horse or bench?
  2. Lock that sizeEvery group the same.
  3. Then count groupsHow many times.
4 \times 2 is the same join as
  1. 2 + 2 + 2 + 2
  2. 4 + 2
  3. 4 - 2

Times is repeated add of the group size.

Notes

  • The official chapter title is “How Many Times? (Multiplication)”. Teach the school test for that title, not a contest shortcut.
  • If a step needs a later class, stop. The next official chapter will pick it up.

Formulas

  • a \times b means a groups of b.
  • 5 \times 3 = 3 + 3 + 3 + 3 + 3.

Recap

Hold these pegs from the official chapter “How Many Times? (Multiplication)”. The wording is ExamMaster’s teaching, not a textbook recap.

Two children on one horse are one equal group
If the rule is “two to a horse”, one horse with two children is one equal group.
Equal groups are the start of “how many times”
“How many times” asks how many equal groups.
Skip-count to find the total
Groups of 2: 2, 4, 6, 8. That skip-count is the running total. It is not a new number system.
An array is rows of equal groups
Three rows of four dots is 3 times 4. Each row is one equal group. A messy scatter is not an array.
5 times 3 is five groups of three
5 × 3 means five groups, each of size 3. It is 3 + 3 + 3 + 3 + 3. It is not 5 + 3.
One leftover seat is not a full group
If the rule is two to a horse and one child has no partner, that leftover is not a group of two.

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