Start with 1 x n, and double and halve from there. Multiplication and Division KS1 Age 5 to 7 The tasks in this collection encourage lower primary children to look deeper at multiplication and division. Triangular numbers can be represented by a triangular array of squares. This activty involves using proportional adjustment to solve multiplication problems. Doubling Fives Age 5 to 7 Challenge Level: Multiplying and Dividing Age 5 to 7 Try these problems, which are all about multiplying and dividing different numbers. Baskets Age 3 to 5 Counting reliably Solving problems, including doubling, halving and sharing.
In how many ways can you halve a piece of A4 paper? Halving Age 5 to 7 Challenge Level: This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division. Students are also introduced to the concept of proof. For example, 3 x 16 is the same as 6 x 8.
The final question have 2 unknowns — and the instruction identifies that they involve doubling and halving. However, the concept of proof and the power of algebra can be followed up in discussions. The last 2 problems require some thinking. Geoboards Age 5 to 11 This feature brings together activities which make use of a geoboard or pegboard.
What do you notice about the sum of identical triangle numbers? Doubling Fives Age 5 to 7 Challenge Problsm Number Stage 2 Age 5 to 7 Challenge Level: The activity asks students to solve problems, fill in missing numbers in equations using proportional adjustment and solve word problems.
Fractions Age 5 to 7 Try these lower primary tasks if you want to improve your understanding of fractions. Paper Halving Age 5 to 11 Challenge Level: The tasks in this collection encourage lower primary children to look deeper at multiplication and division.
Follow Up Age 14 to 16 Challenge Level: Throw the dice and decide whether to double or halve the number. This is essential introductory algebra to build understanding of the language of mathematics.
For question 10 students should identify that doubling and halving is a useful strategy when both numbers are even — to start with, but this question deserves more discussion, as simply doubling and halving may not necessarily produce a question that is easier to do….
Te Kete Ipurangi Navigation: Practice prooblem with answers PDF or Word. Will you be the first to reach the target? Which of these pocket money systems would you rather have?
However, it does require some idea of prime numbers and how these operate.
The answers to question 10 suggests that students check their answers with others in their group, and explain why they think certain problems are easier or not easier using tripling and thirding etc.
What happens when you split an object or a few objects into different piles? They may need to be taught what a mind map is and what it looks like. Triangular numbers can be dkubling by a triangular array of squares.
This article, written by Dr. Doubling and halving to find factors Doubling and halving tripling and thirding etc is a very useful strategy for finding a full set of factors.
Fractions Age 7 to 11 Explore the idea of fractions using these activities. This could prove tricky for some students. Room Doubling Age 7 to 11 Challenge Level: Students are also introduced to the concept of proof.
Age 3 to 7 This article, written by Dr. Early Years Activities – Number Age 3 to 5. Double Trouble Age 3 to 5 Doubling numbers. Exercise 2 Asks students to identify what problems are suitable to solve using the doubling and halving strategy.
Start with 1 x n, and double and halve from there. As students should already be at stage 6 before they attempt such an exercise, this should not cause problems for students, though work with large numbers should be forming part of the teaching.