Y7 Learning Stage 1. Y7 Learning Stage 2. Y7 Learning Stage 3

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1 Y7 Learning Stage 1 Y7 Learning Stage 2 Y7 Learning Stage 3 Understand simple algebraic notation. Collect like terms to simplify algebraic expressions. Use coordinates in the first quadrant. Make a comparative statement about two data sets. Use basic vocabulary of probability. Use place value to multiply and divide by 10 or 100. Add/subtract numbers with one decimal place. Recognise simple equivalent fractions. Count below zero. Round whole numbers to the nearest 10, 100, Recognise even and odd numbers. Add on/count back by a given amount. Identify percentages from pictures. Name 3D shapes. Draw shapes made out of cubes. Name types of angles. Recognise right angles. Measure perimeter and find area by counting squares. Convert between metric units. Make whole turns, half turns and quarter turns. Try different approaches to a problem. Interpret information from a diagram or written in mathematical language. Reflect on conclusions. Collect like terms to simplify algebraic expressions. Understand simple algebraic notation. Solve simple equations. Find coordinates of missing vertices of shapes. Find median and mode. Find simple probabilities of events. Multiply/divide by 10, 100, Add/subtract numbers with two decimal places. Cancel down a fraction to its simplest form. Round whole numbers to the nearest 10, 100, Order decimals. Find multiples and factors. Find even, odd, square numbers. Find simple percentages using the equivalent fraction (10%, 20%, 25%, 50%). Count faces, edges, vertices. Draw nets of cubes. Find missing angles in simple cases. Estimate angles. Find areas and perimeters of rectangles and triangles. Converting between metric units. Find lines of symmetry. Count faces, edges, vertices. Draw nets of cubes. Find missing angles in simple cases. Estimate angles. Find areas and perimeters of rectangles and triangles. Converting between metric units. Find lines of symmetry. Develop strategies for solving a problem. Present information clearly and in an organised way. Construct a chain of reasoning to answer a question. Extract and analyse information from a context. Reflect on conclusions and decide if they are reasonable. Calculate with numbers that have one or two decimal places. Round to 1 or 2 decimal places. Order fractions using a common denominator. Simplify a ratio. Use BIDMAS for calculations with more than one operation. Calculate with negative numbers. Recall square numbers up to 15x15. Determine if a number is prime. Find simple percentages of amounts. Perform simple percentage increase and decrease. Draw nets of cubes and cuboids. Find the volume of shapes made out of cubes. Measure and draw angles. Find missing angles using angles on a straight line, angles in a triangle, angles at a point. Find areas and perimeters of shapes made out of rectangles and triangles. Converting between metric and imperial using common approximations. Identify reflective and rotational symmetry of 2D shapes. Recognise properties of quadrilaterals. Find coordinates of missing vertices of shapes. Expand out one bracket. Substitute a value into an algebraic expression. Solve simple equations. Derive simple formulae. Plot simple graphs. Find mean, median and mode of data sets. Compare data sets using an average and range. List outcomes and find probabilities.

2 Y7 Learning Stage 4 Factorise one bracket. Use index laws to multiply with algebra. Rearrange a simple formula. Set up and solve an equation. Use coordinates in all four quadrants. Plot linear graphs. Choose an appropriate average. Estimate mean from grouped data. Calculate averages with large data sets. Find probabilities from systematic listing, or using a sample space diagram. Round to 1 or 2 significant figures. Use standard column methods to calculate with decimals. Divide a quantity in a given ratio. Solve problems using ratio. Solve simple problems involving ordering, adding, subtracting negative numbers in contexts. Recognise triangular numbers. Recall cubes and cube roots up to 5 cubed. Estimate square roots. Solve problems using powers and roots. Use index laws for multiplication and division. Understand percentage as an operator so many hundredths of. Find volume and surface area of cuboids. Solve problems using area and perimeter. Derive formula for area of triangles. Understand and calculate error bounds of measurements. Identify planes of symmetry in 3D shapes. Know the properties of diagonals of quadrilaterals. Break substantial tasks into smaller tasks. Select and use a range of efficient techniques. Present a convincing mathematical argument. Identify assumptions and their limitations.

3 Y8 Learning Stage 2 Y8 Learning Stage 3 Y8 Learning Stage 4 Solve one-step equations. Plot coordinates in all four quadrants. Recognise nets of simple 3D shapes. Find missing angles using the sum of angles in a triangle. Find areas of rectangles. Recall common equivalent fractions, decimals, percentages. List factors and multiples and primes. Find 10%, 5%, 20% of a number. Draw bar charts, pictograms. Develop strategies for solving a problem. Present information clearly and in an organised way. Construct a chain of reasoning to answer a question. Extract and analyse information from a context. Reflect on conclusions and decide if they are reasonable. Solve simple equations. Set up equations from a worded question. Plot graphs of simple linear functions. Sketch nets of simple 3D shapes. Find missing angles in triangles and quadrilaterals. Identify alternate and corresponding angles. Find areas of rectilinear shapes. Begin to use formulae for circumference and area of a circle. Draw and interpret simple pie charts. Find simple fractions of an amount. Recall common equivalent fractions, decimals, percentages. Convert simple decimals to fractions and percentages. List factors and multiples and compare to find HCF and LCM. Find simple percentages of an amount using non-calculator methods. Recall common equivalent fractions, decimals, percentages. Convert simple decimals to fractions and percentages. List factors and multiples and compare to find HCF and LCM. Find simple percentages of an amount using non-calculator methods. Use conversion to order fractions, decimals, percentages. Use prime factor decomposition to find HCF and LCM. Use index notation to calculate powers. Recognise powers of 2, 3, and 5. Find percentages of an amount with or without a calculator. Perform percentage increase/decrease. Set up equations from a worded question. Solve simple inequalities. Solve equations with brackets and unknown on both sides. Rearrange formula to change subject in simple cases. Solve problems using algebra. Plot graphs of linear functions. Interpret graphs arising from real-life situations, including distance-time graphs. Draw and interpret pie charts. Draw scatter diagrams. Construct nets and build simple 3D shapes. Use alternate and corresponding angles to find missing angles. Find area of triangles and compound shapes. Find areas and circumferences of circles. Break substantial tasks into smaller tasks. Select and use a range of efficient techniques. Present a convincing mathematical argument. Identify assumptions and their limitations.

4 Y8 Learning Stage 5 Use scatter diagrams to interpolate/extrapolate to other values. Identify planes of symmetry and rotational symmetry in 3D shapes. Solve problems with a context of bearings. Prove that two lines are parallel using alternate or corresponding angles. Derive and use formula for area of parallelograms and trapezia. Convert between cm 2 and m 2. Find arc lengths and areas of sectors. Express one number as a fraction of another. Express one number as a percentage of another. Know and use the index laws. Use prime factor decomposition to find HCF and LCM. Perform reverse percentages to find original amount. Derive formula from worded questions. Rearrange formulae that use powers. Set up and solve hard equations from worded questions. Use algebra to prove things. Solve harder inequalities. Solve problems that involve working backwards using algebra. Plot graphs of quadratic, cubic, exponential and reciprocal functions. Use graphs to solve equations. demanding problems. Use mathematical symbols and notation consistently. Present convincing arguments. Understand the difference between mathematical explanation and experimental evidence. Identify underlying assumptions, recognising their importance and limitations, and the effect of varying them.

5 Y9 Learning Stage 6 Y9 Learning Stage 5 Y9 Learning Stage 4 Y9 Learning Stage 3 Identify probability outcomes and find simple probabilities. Use estimation to check answers. Identify equivalent fractions. Cancel fractions into simplest form. Multiply and divide by 10 and 100. Solve simple problems with ratio and proportion. Solve simple equations, using balancing method. Enlarge a shape using scale factor 2 or 3. Use simple angle rules to find missing angles. Describe prisms. Find experimental and theoretical probabilities. List outcomes. Use estimation to check answers. Use equivalent fractions, and add/subtract fractions with different denominators. Solve simple problems with ratio and proportion. Multiply and divide by powers of 10 Solve simple equations and inequalities. Expand a single bracket. Draw nets of prisms, and elevations of prisms. Find missing angles in quadrilaterals, pentagons. Enlarge a shape using a centre of enlargement and positive integer scale factor. Construct a triangle, given sides and angles. Break substantial tasks into smaller tasks. Select and use a range of efficient techniques. Present a convincing mathematical argument. Identify assumptions and their limitations. Find experimental and theoretical probabilities. List outcomes. Use Venn diagrams. Identify upper and lower bounds for rounding. Add/subtract with mixed numbers. Multiply fractions. Use the unitary method to solve proportion questions. Convert numbers between standard form and ordinary form. Solve simple simultaneous equations. Expand two brackets. Factorise simple quadratic expressions. Find volumes for simple prisms. Find volume of cylinders. Find interior angles of regular polygons. Enlarge a shape using a centre of enlargement and positive integer scale factor. Construct a triangle, given sides and angles. demanding problems. Use mathematical symbols and notation consistently. Present convincing arguments. Understand the difference between mathematical explanation and experimental evidence. Identify underlying assumptions, recognising their importance and limitations, and the effect of varying them. Use Tree diagrams to find probabilities of compound events. Use Venn diagrams. Calculate with upper and lower bounds of continuous measures. Add/subtract/multiply/divide with fractions and mixed numbers. Use reciprocals. Calculate with numbers written in standard form. Solve problems by forming and solving simultaneous equations. Factorise and solve quadratic equations. Use algebra and graphs to represent proportionality. Find volume of cylinders including in terms of pi. Find surface area of triangular prisms. Solve problems with interior/exterior angles of polygons. Identify and prove congruence of triangles. Find missing lengths on similar triangles. Solve problems using trigonometry. complex problems. Present a formal logical proof. Comment constructively on a reasoning process. Identify underlying assumptions, recognising their importance and limitations, and the effect of varying them.