Complete the Vertical Calculation

Teaching Notes

Focus: Division with Remainders. Use the worked example and teaching sequence below to explain the reasoning before independent practice.

Before You Begin

• Use multiplication facts.

Teaching Steps for Parents and Teachers

1. Find the greatest multiple of the divisor that does not exceed the dividend.
2. Subtract that multiple to find the remainder.
3. Check that the remainder is smaller than the divisor.
4. For a blank, identify the missing quantity. Substitute the completed value back into the original statement to check it.

Worked Examples

17 ÷ 5

1. 5 × 3 = 15; 5 × 4 = 20 is too large.
2. 17 − 15 = 2.
3. 5 × 3 + 2 = 17.

Answer: 3 R 2

Common Mistakes and How to Help

A remainder at least as large as the divisor means another group can be made.

Check divisor × quotient + remainder = dividend.

Questions to Check Understanding

• Check divisor × quotient + remainder = dividend.
• Which step explains your answer?
• Can you apply the same reasoning when the numbers change?

Practice Advice

Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.

Next Practice

• Use New Numbers to practice the same skill with different values.
• If the learner needs help, return to the example and model each step before trying again.