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CBSE Class 5 · Mathematics

Coconut Farm

Official NCERT chapter from Math-Mela (book code eemm1). ExamMaster notes are original teaching at CBSE Class 5 depth.

This lesson follows the official chapter “Coconut Farm” in Math-Mela. 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 5
  • Easy level
  • 8 concepts

1An array of coconuts hides multiplication and division facts

4 rows of 7 is 4 \times 7 = 28 and also 28 \div 7 = 4. The same array is both facts.

A scattered heap is not the array until you make rows.

Figure. An array of coconuts is multiplication you can see: 3 rows of 4 is 12, and 12 shared into 3 rows is 4 in each. The farm story and the array are the same count.

How it works

  1. Make equal rowsSame count each.
  2. Write the productRows × size.
  3. Write a divisionTotal ÷ size = rows.

2Dividend equals divisor times quotient

In 28 \div 7 = 4, 28 is the dividend, 7 the divisor, 4 the quotient. 7 \times 4 must rebuild 28.

Swapping names without rebuilding is a word-list, not a check.

Figure. Dividend equals divisor times quotient: 35 = 7 × 5. The leftover, if any, is written after this product — it is not a replacement for it.

How it works

  1. Name dividendThe total.
  2. Name divisor and quotientSize, and how many groups.
  3. Demand divisor × quotient = dividendThe rebuild.

3Two division facts follow one multiplication

If 4 \times 7 = 28, then 28 \div 7 = 4 and 28 \div 4 = 7. One product, two divisions.

A third number is not invited.

Figure. One multiplication writes two division facts. 4 × 7 = 28 is also 28 ÷ 4 = 7 and 28 ÷ 7 = 4 — the same array read two ways.

How it works

  1. Start from a product4 × 7 = 28.
  2. Write both divisions28÷7 and 28÷4.
  3. Keep the same three numbersA fact family.

4Thirty-five split into seven groups has five in each

35 \div 7 = 5. Seven equal groups, five in each. Check 7 \times 5 = 35.

Splitting into seven unequal piles is not this division.

Figure. Thirty-five split into seven equal groups has five in each. The groups are the same size; that is what equal sharing means.

How it works

  1. Name the total35.
  2. Name how many groups7.
  3. Find the size of each5.

35 into 7 groups

35 coconuts into 7 equal baskets. How many in each?

  • Dividend35
  • Groups7
  • Each35 ÷ 7 = 5
  • Check7 × 5 = 35

Pro tip. Division asks the group size when the number of groups is known.

5Circles and squares can hide products and quotients

A diagram of 5 circles with 6 dots each hides 5 × 6. A blank circle asking “how many dots each?” hides a quotient.

Admiring the drawing is not the fact.

Figure. A hidden product can sit in an array of squares. 2 rows of 3 is 6; the same 6 shared into 2 rows is 3 each. Circles would tell the same count — this figure uses squares because a rim cannot be drawn.

How it works

  1. Count groups and size, or total and groupsWhat is known.
  2. Write × or ÷The hidden sentence.
  3. ComputeThe missing number.

6A leftover coconut is a remainder if groups do not fit

30 into groups of 7: 4 groups make 28, leftover 2. That 2 is a remainder, not a fifth group of 7.

Forcing a fifth group overshoots.

Figure. Seventeen does not fill four groups of five. Three groups take 15; the leftover 2 is the remainder — still part of 17, not a mistake.

How it works

  1. Fill full groups4 × 7 = 28.
  2. See what remains2.
  3. Write 30 = 4 × 7 + 2Remainder 2.

7Check by multiplying back

After 35 ÷ 7 = 5, check 7 × 5 = 35. With a remainder, check groups × size + remainder = total.

A new farm is not a check.

Figure. Check a division by multiplying back: groups times size, then add the remainder. 3 × 5 = 15, plus the leftover 2, returns 17.

How it works

  1. Keep quotient and remainderThe answer.
  2. Multiply back and add remainderRebuild.
  3. Demand the totalOr redo.

8The farm is the story; the array is the maths

Coconuts are the picture. Factors, quotients, remainders are the maths.

Do not invent a farm-only divide.

Figure. The coconut farm is the story that makes the count memorable. The array is the maths: rows times columns, and the inverse readings of the same total.

How it works

  1. Keep the settingA farm.
  2. Compute on the array or the sentence× and ÷.
  3. Use school factsThe farm is not a new rule.
30 = 4 × 7 + ? The remainder is
  1. 2
  2. 7
  3. 4

4 × 7 = 28; 30 − 28 = 2.

Notes

  • The official chapter title is “Coconut Farm”. 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

  • Dividend = divisor \times quotient + remainder.
  • One product gives two divisions.
  • Check: rebuild the total.

Recap

Hold these pegs from the official chapter “Coconut Farm”. The wording is ExamMaster’s teaching, not a textbook recap.

An array of coconuts hides multiplication and division facts
4 rows of 7 is 4 \times 7 = 28 and also 28 \div 7 = 4.
Dividend equals divisor times quotient
In 28 \div 7 = 4, 28 is the dividend, 7 the divisor, 4 the quotient.
Two division facts follow one multiplication
If 4 \times 7 = 28, then 28 \div 7 = 4 and 28 \div 4 = 7.
Thirty-five split into seven groups has five in each
35 \div 7 = 5. Seven equal groups, five in each. Check 7 \times 5 = 35.
Circles and squares can hide products and quotients
A diagram of 5 circles with 6 dots each hides 5 × 6.
A leftover coconut is a remainder if groups do not fit
30 into groups of 7: 4 groups make 28, leftover 2.

Practise Coconut Farm

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  • 1 quick check with worked explanations
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