Number+Framework+from+the+Numeracy+Development+Project

__**What is the Number Framework?**__  The Number Framework is intended to help teachers, parents and students understand the stages of learning of number knowledge and understanding. There are two sections to the Number Framework, Strategy and Knowledge. The Strategy section describes the mental processes students use to estimate answers and solve operational problems with numbers. The Knowledge section describes the key items of knowledge that students need to learn. It is important that students make progress in both sections of the framework.

**The Strategy Section** The Strategy section of the Number Framework describes a series of stages that children progress through as they develop their understanding of a range of strategies for solving number problems. There are eight stages altogether, with the first three often grouped together: • Stage 0-3: Counting from One  - children can solve problems by counting from one, either using materials or in their head. • Stage 4: Advanced Counting  - children can solve problems by counting in ones, or by skip counting, starting from numbers other than one. • Stage 5: Early Additive  - children can solve simple problems by splitting up and adding together the numbers in their head. • Stage 6: Advanced Additive <span style="background-color: #ffffff; color: #424242; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px;"> - children use a range of different methods to solve more challenging problems in their head. <span class="Bullet" style="background-color: #ffffff; color: #424242; font-family: Helvetica-Bold,Helvetica,Arial,sans-serif; font-size: 12px;">• <span class="style_1" style="background-color: #ffffff; color: #424242; font-family: HelveticaNeue-Bold,'Helvetica Neue',Arial,sans-serif; font-size: 12px;">Stage 7: Advanced Multiplicative <span style="background-color: #ffffff; color: #424242; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px;"> - children use a range of different methods to solve multiplication and division problems in their head. <span class="Bullet" style="background-color: #ffffff; color: #424242; font-family: Helvetica-Bold,Helvetica,Arial,sans-serif; font-size: 12px;">• <span class="style_1" style="background-color: #ffffff; color: #424242; font-family: HelveticaNeue-Bold,'Helvetica Neue',Arial,sans-serif; font-size: 12px;">Stage 8: Advanced Proportional <span style="background-color: #ffffff; color: #424242; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px;"> - children can solve complicated problems involving fractions, decimals and percentages using a combination of methods.

<span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">There are three areas, or 'domains' within the Strategy section, which describe a child's ability to solve different types of problems (additive, multiplicative and proportional). Your child is likely to be learning a broad range of strategies in their classroom mathematics programme. One of the ways that you can most easily support them is to help them develop the knowledge that they will need to be able to use these strategies.

<span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue-Bold,'Helvetica Neue',Arial,sans-serif; font-size: 18px; text-align: left;">**The Knowledge Section** <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">The Knowledge section is usually broken down into five areas, referred to as 'domains': Numeral Identification, Number Sequence and Order, Grouping/Place Value, Basic Facts, and Written Recording. These areas or 'domains' within the knowledge section are often taught together rather than in isolation. The knowledge students learn varies within the Strategy Stage that they are working. <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"><span class="Bullet" style="font-family: Helvetica-Bold,Helvetica,Arial,sans-serif;">• <span class="style_1" style="font-family: HelveticaNeue-Bold,'Helvetica Neue',Arial,sans-serif;">Number Identification and Order - activities to help children learn to read numbers and know the order of numbers are used. <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"><span class="Bullet" style="font-family: Helvetica-Bold,Helvetica,Arial,sans-serif;">• <span class="style_1" style="font-family: HelveticaNeue-Bold,'Helvetica Neue',Arial,sans-serif;">Place Value - activities to help children learn how 10s, 100s, 1000s, tenths, hundredths, thousandths etc are used. <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"><span class="Bullet" style="font-family: Helvetica-Bold,Helvetica,Arial,sans-serif;">• <span class="style_1" style="font-family: HelveticaNeue-Bold,'Helvetica Neue',Arial,sans-serif;">Number Facts - activities that will help children learn their addition, subtraction, multiplication and division facts are used. <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">**So what kind of maths will my child be learning at each stage? For examples, click on the stages below to find out.** <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 0 -Stage 1 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 1 - Stage 2 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 2 - Stage 3 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 3 - Stage 4 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 4 - Stage 5 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 5 - Stage 6 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 6 - Stage 7 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">Stage 7 - Stage 8 <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;"> <span style="background-color: #ffffff; color: #424242; display: block; font-family: HelveticaNeue,'Helvetica Neue',Arial,sans-serif; font-size: 12px; text-align: left;">To find out more you can download the following pamphlets
 * Numeracy Projects, Years 1–3: item number 30918 ( [|PDF)] (925KB)
 * Numeracy Projects, Years 3–6: item number 10787 ( [|PDF)] (602KB)
 * Numeracy Projects, Years 7–8: item number 10788 ( [|PDF)] (659KB)
 * Secondary Numeracy Project, Years 9-10: item number 31402 ( [|PDF)] (253KB)