# Mathematics

Mathematics is a tool for everyday life.### Our aims in teaching mathematics at Lady Margaret Primary School are to:

- A positive and confident attitude towards mathematics both as a subject as well as recognising the cross curricular links with other subjects.
- Competence with numbers and the number system.
- Enjoyment and enthusiasm for learning through practical activities, investigations and discussion.
- Skills through the exploration of shape, position and movement, money, time, measure, data handling and problem solving in a range of contexts.
- The use of mathematics as a tool for life to solve problems.
- An ability to communicate mathematical methods and strategies and to use mathematical language appropriately.
- Lively, engaging and challenging mathematical lessons or activities with opportunities for children to use their initiative and to work both independently and cooperatively.
- Children’s own knowledge and understanding of their learning including being able to recall prior learning and implement next steps.

### How mathematics is taught at Lady Margaret Primary School:

Every lesson is divided into sections that involve plenty of discovery, sharing, collaboration, practice and reflection. Children are encouraged to solve problems each day through the use of concrete resources, pictorial representations and abstract thinking.

At the heart of this programme is the idea that all children can achieve and be successful mathematicians with the right growth mindset. It promotes five child-friendly characters, each with their own positive skillset, to inspire and motivate children.

These characters are:

### By the end of year 6, we want pupils to:

__By the end of Primary School, in Year 6, your child will have a good understanding of all the times table facts up to 12 x 12 and the following NC objectives:____Number and Place Value__

- read, write, order and compare numbers up to 10 000 000 and determine the value of each digit
- round any whole number to a required degree of accuracy
- use negative numbers in context, and calculate intervals across zero
- solve number and practical problems that involve all of the above.

__Addition, Subtraction, Multiplication and Division__

- multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
- divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
- divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
- perform mental calculations, including with mixed operations and large numbers
- identify common factors, common multiples and prime numbers
- use their knowledge of the order of operations to carry out calculations involving the four operations
- solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
- solve problems involving addition, subtraction, multiplication and division
- use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

__Fractions (including decimals and percentages)__

- use common factors to simplify fractions; use common multiples to express fractions in the same denomination
- compare and order fractions, including fractions > 1
- add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
- multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8].
- divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6 ]
- associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8 ]
- identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
- multiply one-digit numbers with up to two decimal places by whole numbers
- use written division methods in cases where the answer has up to two decimal places
- solve problems which require answers to be rounded to specified degrees of accuracy
- recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

__Ratio and Proportion__

- solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
- solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison
- solve problems involving similar shapes where the scale factor is known or can be found
- solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

__Algebra__

- use simple formulae
- generate and describe linear number sequences
- express missing number problems algebraically
- find pairs of numbers that satisfy an equation with two unknowns
- enumerate possibilities of combinations of two variables.

__Measurement__

- solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate
- use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places
- convert between miles and kilometres
- recognise that shapes with the same areas can have different perimeters and vice versa
- recognise when it is possible to use formulae for area and volume of shapes
- calculate the area of parallelograms and triangles
- calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³ ) and cubic metres (m³ ), and extending to other units [for example, mm³ and km³ ].

__Geometry – Properties of Shapes__

- draw 2-D shapes using given dimensions and angles
- recognise, describe and build simple 3-D shapes, including making nets
- compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
- illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
- recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

__Geometry – Position and Direction __

- describe positions on the full coordinate grid (all four quadrants)
- draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

__Statistics__

- interpret and construct pie charts and line graphs and use these to solve problems
- calculate and interpret the mean as an average.

### Maths Curriculum Termly Overview for Parents

There is also a great focus on times tables at LMPS. Each year group has a termly baseline and end-of-term multiplication assessment – this helps us to identify pupils who have not secured the relevant multiplication/number facts for their year group. At the end of Year 4, pupils are required to sit an online Multiplication Tables Check. The Multiplication Tables Check (MTC) is a key stage 2 assessment that tests pupils’ knowledge of all times tables up to 12 x 12. The purpose of the MTC is to make sure the times tables knowledge is at the expected level by the end of year 4. In years 5 and 6, pupils continue to consolidate their knowledge of the times tables up to 12 x 12.

Please click on the relevant year group for the curriculum overview.

**Nursery Maths Yearly Overview 20.21**

**Reception Overview 20.21**

**Y1 Overview 20.21**

**Y2 Overview 20.21**

**Y3 Overview 20.21**

**Y4 Overview 20.21**

**Y5 Overview 20.21**

**Y6 Overview 20.21**

### Multiplication Tables

The Multiplication Tables Check (MTC) is a key stage 2 assessment that tests pupils’ knowledge of all times tables up to 12 x 12. The purpose of the MTC is to make sure the times tables knowledge is at the expected level by the end of year 4.

In years 5 and 6, pupils continue to consolidate their knowledge of the times tables up to 12 x 12.

**Times tables activities:**

Generate a worksheet at http://www.timestables.me.uk/

Play Hit The Button on http://www.topmarks.co.uk