**Helping students use MathsWatch**

YEAR 5 LEARNING SUMMARY

**Using and Applying Maths:**

The emphasis is on further developing the skills of problem solving. Pupils use all four mathematical operations: add, subtract, multiply and divide, choosing and using their own methods in doing so. Pupils explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols.

**Number**

Pupils extend their understanding of place value, explaining what each digit represents in large whole numbers and decimals. They partition, round and order these numbers. Pupils use decimal values in context such as money and measure along with using negative numbers in context. They use knowledge of rounding place value, number facts and inverse operations to estimate and check calculations. Pupils continue to learn times table facts to 10×10 and use efficient written methods for all four operations.

**Shape, Space and Measure**

Pupils understand and calculate area and perimeter of shapes using the appropriate units of measurements. Pupils begin to recognise simple properties of rectangles and different types of triangles. Pupils read and plot coordinates in the first quadrant and recognise parallel and perpendicular lines in grids and shapes, and use a set-square and ruler to draw shapes with perpendicular or parallel sides.

**Handling Data **

Pupils pursue an enquiry, present evidence by collecting and organising information. They construct frequency tables, bar and line graphs to represent the frequencies of events and changes over time. They interpret information and find the mode of a set of data

YEAR 6 LEARNING SUMMARY

**Using and Applying Maths:**

The emphasis is on further developing the skills of problem solving. Pupils identify and use appropriate operations including combinations of these to solve word problems in a variety of contexts. In Year 6, pupils tabulate systematically the information in a problem or puzzle, identify and record the steps or calculations needed to solve it, using symbols where appropriate. They intercept solutions in the original context of a problem and check their accuracy.

**Number**

Pupils use knowledge of place value to multiply and divide integers and decimals by 10, 100 and 1000. They use known times tables facts to derive related multiplications and division facts involving decimals. Pupils extend use of efficient written methods, for all four operations, to integers and decimals. They order a mixed set of numbers including decimals, fractions and percentages. Pupils reduce fractions to their simplest form by cancelling common factors. They use a fraction as an operator to find fractions of numbers or quantities. Pupils extend understanding of percentages to find simple percentages of small whole number quantities. They begin to solve problems involving ratio and proportion. Pupils continue to learn times table factors to 10 x 10.

**Shape, Space and Measure**

Pupils select and use standard metric units and convert between units using decimals to 2 places. They describe, identify and visualise parallel and perpendicular edges or faces, using these properties to classify 2D shapes and 3D solids. Pupils solve multi step problems, and problems involving measures; choosing and using appropriate calculation strategies at each stage, including calculator use.

**Handling Data **

Pupils suggest, plan and develop lines of enquiry. They construct frequency tables, bar charts with grouped discrete data, and line graphs. They interpret results, draw conclusions and review methods, identifying further questions to ask. Pupils find the mode, median and mean of a set of data and use the vocabulary of probability.

YEAR 7 LEARNING SUMMARY

**Using and Applying Maths:**

The emphasis is on further developing the skills of problem solving. Pupils identify the necessary information to solve a problem. They represent problems and interpret solutions in algebraic, geometric or graphical form, using correct notation and appropriate diagrams. Pupils indentify and use appropriate operations, including combinations of these to solve more demanding word problems in a variety of contexts. Pupils are given opportunities to use and extend their skills in projects, investigations and competitions e.g. Pick’s Law and Pond Borders investigations.

**Number**

Pupils consolidate and extend mental methods of calculation working with decimals, fractions and percentages, squares and square roots, accompanied where appropriate by suitable jottings. They learn how to use the equivalence of simple fractions, decimals and percentages to compare proportions. They calculate percentages and find the outcome of a given percentage increase or decrease. Pupils extend understanding of ratio to divide a quantity into two or more parts in a given ratio. Pupils use letter symbols to represent unknown numbers or variables. They simplify linear expressions by collecting like terms and multiply a single term over a bracket. Pupils begin to use formulae from mathematics and other subjects; substitute integers into simple linear expressions and formulae and in simple cases, derive a formula.

**Shape, Space and Measure**

Pupils use straight edge and compasses to construct a midpoint and perpendicular bisector of a line segment. Pupils read and interpret scales on arrange of measuring instruments. Pupils use their existing understanding of the area of a triangle. Pupils learn how to calculate the volume and surface area of a cuboid and other prisms.

**Handling Data **

Pupils understand and use the probability scale from 0 to 1. They find and justify probabilities based on equally likely outcomes in simple contexts. Pupils plan and conduct a survey. They calculate the mean from a frequency table

YEAR 8 LEARNING SUMMARY

**Using and Applying Maths:**

The emphasis is on further developing the skills of problem solving. Pupils represent problems and synthesise information in algebraic, geometric or graphical form moving from one form to another to gain a different perspective of the problem. Pupils use logical argument to establish the truth of the statement. Pupils indentify and use appropriate operations, including combinations of these to solve more demanding word problems in a variety of contexts. Pupils are given opportunities to use and extend their skills in projects, investigations & competitions e.g. Rats in a Maze and New York Cop investigations.

**Number**

Pupils generate terms of a sequence using term to term and position to term definitions. They learn to identify the nth term rule of a linear or quadratic equation. Pupils are given the opportunity to construct functions arising from real life problems and plot their corresponding graphs. Pupils also begin to recognise that equations of the form y=mx+c correspond to straight line graphs . They learn to interpret graphs arising from real life situations, including distance time graphs. They construct and solve linear equations with integer coefficients. Pupils continue to use efficient methods for multiplication and division of integers and decimals. Some pupils will also gain an understanding of Pythagoras Theorem and will begin to use trigonometry to solve geometric problems.

**Shape, Space and Measure**

Pupils understand angle proofs, such as the sum of interior angles in a triangle and quadrilateral. They solve problems using side and angle properties of equilateral, isosceles and right-angled triangles and special quadrilaterals, properties of angles, of parallel and intersecting lines, and of triangles and other polygons. Pupils gain experience in using a straight edge and compasses to make standard constructions, including triangles given angle and side information. Pupils enlarge 2D shapes, given a centre of enlargement and a scale factor.

**Handling Data **

Pupils design a survey or experiment to capture the necessary data from one or more sources. They determine the sample size and degree of accuracy needed, design trial and if necessary, refine data collection sheets. They communicate interpretations and results of a statistical enquiry using selected tables, graphs and diagrams in support using ICT as appropriate.