Mathematics at Plimmerton School
Home Learning Support
Here are some ideas to support the learning of mathematics strategies for students in years 1-8. These may be helpful for you to support your child at home. Most strategies have a learning goal, an example and a video.
Level 1 - Stages 1 - 4 (Generally Years 1 and 2)
Stage Emergent | I am learning to count forwards and backwards to 10 |
Stage One: One-to-One Counting | I am able to count or make a set of objects. |
Stage Two: Counting from One on Materials | I am able to solve simple addition and subtraction problems by counting all the objects, using materials. Example: 5 + 4 as 1,2,3,4,5,6,7,8,9. Addition - counting all from one I am able to solve multiplication and division problems by counting one-to-one with the help of materials. Example: 2 x 6 as 1,2,3,4,5,6,7,8,9,10,11,12 Multiplication by counting objects - skip counting I am able to divide a set of objects into equal groups or a shape into equal parts using materials. |
Stage Three: Counting from One by Imaging | I am able to count all of the objects in simple addition, subtraction and multiplication problems in my head. Example: “8 + 5 as, I counted in my head like this: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13”. Example: “4 x 2 = I counted in my head like this 1, 2, 3, 4, 5, 6, 7, 8” |
Stage 4: Advanced Counting (Counting On) | I am able to count on from the biggest number to solve addition problems. Example: “8 + 5 = I thought of 8, and then 9, 10, 11, 12, 13” Counting on from the biggest number I am able to count back from the biggest number to solve subtraction problems Example: 52 - 4 is “I thought of 52, and then 51, 50, 49, 48 I am able to solve addition and subtraction problems by counting in 10’s. Example: “13 + 40 is, I thought of 13 in my head, and counted 23, 33, 43, 53” I am able to skip count to solve simple multiplication problems. Example: “4 x 5 = 5, 10, 15, 20” Solve multiplication problems using skip counting Skip counting to solve multiplication and division I am able to divide a set of objects into equal groups or a shape into equal parts with or without materials. Example: “½ of 8” |
Level 2 - Stage 5 (Generally Years 3 and 4)
Addition and Subtraction | I am able to use known basic facts to solve addition and subtraction problems. I am able to use doubles. Example: 8 + 7 is 8 + 8 - 1 Using Doubles to solve addition I am able to solve multi-digit problems using partitioning. Example: 43 + 25 = (40 + 20) + (3 + 5) = 60 + 8 = 68 I am able to use rounding and compensating. Example: 39 + 26 = 40 + 25 = 65 Rounding and Compensating with Addition I am able to solve subtraction problems by partitioning the second number. Example: 84 - 8 is 84 - 4 - 4 = 76 |
Multiplication and Division | I am able to solve multiplication and division problems by using repeated addition. Example 1: 4 x 6 as (6 + 6) + (6 + 6) = 12 + 12 = 24 Example 2: 20 ➗ 4 = 5 because 5 + 5 = 10 and 10 + 10 = 20. |
Fractions | I am able to find a fraction of a number. Example: ⅓ of 12 = 4 because 4 + 4 + 4 = 12 |
Level 3 - Stage 6 (Generally Years 5 and 6)
Addition and Subtraction | I am able to use a range of the following strategies to solve problems; I am able to use rounding and compensating Example: 63 - 39 = 63 - 40 + 1 = 24 Compensating and Rounding Addition Compensating and Rounding Subtraction I am able to use reversibility (number line) Example: 63 - 39 = 39 + ▢ = 63 Reversibility and Compensating I am able to use place value partitioning Example: 156 - 38 = (156 - 30 = 126) 126 - 8 = 118 |
Multiplication and Division | I am able to use doubling and halving Example: 4 x 8 = 2 x 16 - 32 I am able to solve unknown facts from facts I know Example: 9 x 6 is (10 x 6) - 6 = 54 I am able to reverse division problems into multiplication problems Example: 63 ➗ 7 = 9 because 9 x 7 = 63 (reversibility) |
Fractions | I am able to find a fraction of a set by using multiplication or division facts. Example: ⅓ of 36 = 12 because 36 ➗ 3 = 12, or 3 x 12 = 36 I am able to rename improper fractions 11/3 = 3 3/11 because 3 fits into 11 3 times with a remainder of 3. |
Level 4 - Stage 7 (Generally Years 7 and 8)
Addition and Subtraction | I am able to solve addition and subtraction problems with decimals up to 2 decimal places using; I am able to solve problems for integers |
Multiplication and Division | I am able to multiply 2 digit by 1 digit numbers Box method for 2 digit by 1 digit I am able to multiply 2 digit by 2 digit numbers Box method for 2 digit by 2 digit I am able to solve division problems using; |
Fractions | I am able to find equivalent fractions I am able to find the decimals and percentages of a fraction Decimals, Fractions and Percentages I am able to find fractions of a set I am able to solve simple ratio problems Finding a Whole |
Level 4 / 5 - Stage 8: (Generally Years 8 and 9)
Addition and Subtraction | I am able to add and subtract fractions I am able to solve addition and subtraction problems with decimals up to 3 decimal places. |
Multiplication and Division | I am able to multiply fractions Multiplying and dividing fractions - Division Multiplying and dividing fractions - Multiplication I am able to multiply and divide decimals Conversion https://www.youtube.com/watch?v=elXQE-5OB78 |
Fractions | I am able to find a percentage of a number |