![]() Home
![]() £9.99
|
![]() |
For ages 7 to 12
UK version |
||||||||||
|
![]() ![]() ![]() |
|||||||||||
![]() |
|
|||||||||||
Educational Focus |
||||||||||||
| Addition: Children 7+ expand their number sense to make computations fluently and to make reasonable estimates. Children start by adding to sums less than 20 and using a variety of methods to recall facts, including addition tables and fact families (fact families also help children relate addition and subtraction). For example, in the number sentence 2 + 5 = 7, the three members of the fact family (2, 5, 7) can be used to create addition facts (2 + 5 = 7, 5 + 2 = 7) and subtraction facts (7 - 2 = 5, 7 - 5 = 2). Children also learn regrouping in addition, beginning with two two-digit numbers. As children progress through school, they find the sum of two whole numbers from 0 to 10,000 then add negative and positive numbers. |
||||||||||||
| Subtraction: Children expand their number sense to make computations fluently and to make reasonable estimates. Children start by finding differences from 20 and using a variety of methods to recall facts, including subtraction tables and fact families (fact families also help children relate subtraction and addition). For example, in the number sentence 7 - 2 = 5, the three members of the fact family (2, 5, 7) can be used to create subtraction facts (7 - 2 = 5, 7 - 5 = 2) and addition facts (2 + 5 = 7, 5 + 2 = 7). Children also learn regrouping in subtraction, beginning with two two-digit numbers. As children progress through school, they find the difference of two whole numbers from 0 to 10,000 then subtract negative and positive numbers. |
||||||||||||
| Multiplication: Children expand their number sense to make computations fluently and to make reasonable estimates. Children start by using models (e.g., diagrams, drawings, objects such as blocks) to represent multiplication as repeated addition and by using arrays (pictures and symbols in rows and columns). They move to using multiplication tables and fact families to find and recognise multiplication facts and to relate multiplication and division. For example, in the number sentence 7 x 2 = 14, the three members of the fact family (2, 7, 14) can be used to create multiplication facts (7 x 2 = 14, 2 x 7 = 14) and division facts (14 ¸ 2 = 7, 14 ¸ 7 = 2). Children also learn regrouping in multiplication, beginning with a two-digit number and a one-digit number with the regrouping in one place. As children progress through school, they multiply three-digit numbers with two-digit numbers and use division to check the results. |
||||||||||||
| Division: Children expand their number sense to make computations fluently and to make reasonable estimates. Children start by using models (e.g., diagrams, drawings, objects such as blocks) to represent division as repeated subtraction. They move to using division tables and fact families to find and recognise division facts and to relate division and multiplication. For example, in the number sentence 14 ¸ 2 = 7, the three members of the fact family (2, 7, 14) can be used to create division facts (14 ¸ 2 = 7, 14 ¸ 7 = 2) and multiplication facts (7 x 2 = 14, 2 x 7 = 14). Children solve division of a two-digit number by a one-digit number and express the "leftover" as a remainder. As children progress through school, they use long division to divide three-digit numbers by two-digit numbers, expressing the remainders as fractions or decimals, and they use multiplication to check the results. |
||||||||||||
| Decimals, Fractions & Percentages: Children expand their number sense to include fractions, decimals and percentages. In the early age 7+ school years, children use models and real life examples to understand fractions (e.g., ½ a sandwich or 3/12 of a pizza). As children progress through school, they begin to compare fractions to find which are equal, greater than or less than, and they begin working with mixed numbers (e.g., 2¾). They know fraction and decimal equivalencies for tenths, hundredths, halves and fourths, and they determine common percents of a number, children apply all four basic operations to fractions and decimals, and they understand the relationship between fractions, decimals and percentages. |
||||||||||||