Doubling and halving Keywords: Keep on Halving Age 16 to 18 Challenge Level: Room Doubling Age 7 to 11 Challenge Level: Exercise 2 Asks students to identify what problems are suitable to solve using the doubling and halving strategy. Teaching should also cover boxes where the missing number is double one of the other numbers, and tripling and thirding too. For example, 3 x 16 is the same as 6 x 8.
This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division. Measurement Age 5 to 7 These lower primary activities are all about measuring. Asks students to solve word problems. You could investigate your own starting shape. These pictures show squares split into halves. Multiplying and Dividing Age 5 to 7 Try these problems, which are all about multiplying and dividing different numbers.
Double Trouble Age 3 to 5 Doubling numbers. Here are some challenges that you can work on and then see if you can convince someone that your solutions are right! The first of two silving on Pythagorean Triples which asks how many right angled triangles can you find with the lengths of each side exactly a whole number measurement. This is essential introductory algebra to build understanding of the language of mathematics.
This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division. Triangular numbers can be represented by sovling triangular array of squares. The number of plants in Mr McGregor’s magic potting shed increases overnight. You’ll find money, length and time here.
Multiplying and Dividing Prob,em 5 to 7 Try these problems, which are all about multiplying and dividing different numbers. Asks students to generalise the doubling and halving strategy by introducing algebraic notation.
This activty involves using proportional adjustment to solve multiplication problems. Halving Age 5 to 7 Challenge Level: More Lower Primary Fractions Age 5 to 7.
AO elaboration and other teaching resources Achievement Objective: Addition and Subtraction KS1 Age 5 to 7 The lower primary tasks in this collection all focus on adding and subtracting. Doubling and halving to find factors Soving and halving tripling and thirding etc is a very useful strategy for finding a full set of doub,ing. If not, you should register with the link below. Throw the dice and decide whether to double or halve the number. However, it does require some idea of prime numbers and how these operate.
To support this aim, members of the NRICH team work in a wide range of soolving, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
Fractions Age 5 to 7 Try these lower primary tasks if you want to improve your understanding of fractions.
Primary Resources: Maths: Calculations: Doubling & Halving
How do you know they are halves? This task offers opportunities to subtract fractions using A4 paper. Cutting Corners Age 7 to 11 Challenge Level: These pictures show squares split into halves.
This article, written by Dr. Students who do not read this instruction could find kz1 cannot do them, unless they assume that they have been doubled and halved.
Word problems with doubling and halving
Generalise properties of multiplication and division with whole numbers. This is then repeated with letters.
Can you find other ways? Asks students to solve problems using doubling and halving. Working Backwards at KS1 Age 5 to 7 The lower primary tasks in this collection could each be solved by working backwards. Multiplication and Division Age 5 to 7 These lower primary tasks will help you to think about multiplication and division. In these activities, you can practise your skills with adding and taking away.
A simple visual exploration into halving and doubling. Start with 1 x n, and double and halve from there.