# National Strategies Secondary Maths Collection - Improving Learning in Mathematics: Mostly Number

**TES Secondary maths resource collections**

**Collection Author:** Craig Barton - Maths AST and creator of www.mrbartonmaths.com (TES Name: mrbartonmaths)

Electronic copies of the excellent resources from the Improving Learning in Mathematics, otherwise known as the Standards Units. If you haven’t used these before, they are definitely worth a look, and if you haven’t used them for a while, they are definitely worth a second look! This collection is “Mostly Number”

**N1 Ordering fractions and decimals**

- Activities to help learners of secondary mathematics to interpret decimals and fractions using scales and areas, find equivalent fractions and relate and order fractions and decimals.

**N2 Evaluating statements about number operations**

- Activities to enable learners of secondary mathematics to understand the properties of number operations and to substitute integers, fractions, decimals and negative numbers into statements and equations.

- Activities to enable learners of secondary mathematics to round numbers to the nearest 10, 100 and 1000.

**N4 Estimating length, using standard form**

- Activities to enable learners of secondary mathematics to interpret decimals using metric units, estimate lengths, interpret standard form and to discuss and understand the processes.

**N5 Understanding the laws of arithmetic**

- Activities to enable learners of secondary mathematics to interpret numerical expressions using words and area representations, recognise the order of operations and equivalent expressions and understand the distributive laws of multiplication and division over addition.

**N6 Developing proportional reasoning**

- Activities to help learners of secondary mathematics reflect on the reasoning they currently use when solving proportion problems, appreciate their multiplicative structure and to create their own variants of proportion problems.

**N7 Using percentages to increase quantities**

- Activities to enable learners of secondary mathematics to make links between percentages, decimals and fractions and to recognise the inverse relationship between increases and decreases.

**N8 Using directed numbers in context**

- Activities to help learners of secondary mathematics to understand and use directed numbers in the context of temperatures.

**N9 Evaluating directed number statements**

- Activities to enable learners of secondary mathematics to make valid generalisations about the effect of operations on directed numbers.

**N10 Developing an exam question: Number**

- Activities to help learners of secondary mathematics use past examination questions creatively and select and use appropriate techniques to solve problems involving numerical, graphical and algebraic manipulation.

- Activities to enable learners of secondary mathematics to identify equivalent surds and develop their ability to simplify expressions involving surds.

- Activities to introduce learners of secondary mathematics to fractional and negative indices and to enable them to evaluate numerical expressions and use the rules of indices with integer and fractional powers of variables.

- Activities to enable learners of secondary mathematics to define a sequence using the general form of the nth term, define a sequence inductively and to recognise and define arithmetic and geometric progressions.