Year 4 Multiplication and Division Consolidation Step 9, 10 and 11

Step 9-11: Year 4 Multiplication and Division Consolidation Step 9, 10 and 11

Bjørn the Viking is captured by some tribesmen and the tribe leader uses dividing with remainders to work out how many men he could send out to capture more Vikings. Back at the Viking farm, Estrid corrects a remainder when collecting leftovers from a feast. The tribe leader arrives with Bjørn and attempts to prove his worth by solving three-digit division questions. Estrid solves a correspondence problem to win Bjørn back before the tribe leader tries to win back the farm by answering a correspondence problem of his own.

This Learning Video Clip has been designed as a consolidation tool for steps 6, 7 and 8. It contains content relevant to all these steps and can be used in parts to recap a particular step or on its own at the end of a teaching sequence for the included steps.

More resources for Spring Block 1.

Not a member? Sign up here.

Discussion points for teachers

1. How many tribesmen could the tribe leader send out?
Discuss the important information from the word problem and which of the possible numbers of men the children would choose to send out (and why). This question is open-ended for children to explore.
2, 3, 4, 6, or 9 tribesmen.

2. Explain why Estrid can be so sure the remainder is less than 8, even without doing a calculation.
Discuss what a remainder is and how it is found.
A remainder cannot be larger than the number you are dividing by. As six is smaller than eight, another set of six could be shared out, leaving a remainder of two.

3. What is the difference between the two remainders?
Discuss possible partitions, the part-whole model method and what other operation will be needed to complete the question (subtraction).
The difference between the remainders is 3.

4. Use every digit once to fill in the gaps so that the correspondence problem makes sense.
Discuss how the numbers given to each type will produce the answer number.
The numbers 3, 4 and 6 can be given in any order to the item types, producing an answer of 72 combinations.

5. Is the tribe leader correct? Prove it.
Discuss how to find the total number of possible combinations, and how subtraction is needed to find a difference.
The tribe leader is incorrect, because enclosure A has 54 possible combinations (6 x 9) and enclosure B has 44 possible combinations (4 x 11). The difference between 54 and 44 is 10, not 9.

National Curriculum Objectives

Mathematics Year 4: (4C6a) Recall multiplication and division facts for multiplication tables up to 12 × 12

Mathematics Year 4: (4C6b) Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers

Mathematics Year 4: (4C8) Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects

This resource is available to play with a Premium Subscription.