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Multiplying decimals - work out questions such as 2.5 x 4.06 without a claculator Dividing decimals - work out questions such as 3.65 ÷ 0.05 without a calculator Four rules of negatives - Add, subtract, multiply and divide negative numbers without a calculator. Listing strategies - make a note of the steps you will take in solving a problem Comparing fractions - order fractions with different denominators. Use knowledge of equivalent fractions. Adding and subtracting fractions - Add and subtract fractions (inc those with different denominators). Use knowledge of equivalent fractions (or some other method eg kiss box) Finding a fraction of an amount - eg What is 5/6 of 72 Multiplying fractions - multiply fractions including mixed numbers Dividing fractions - divide fractions including mixed numbers. Use keep, switch, flip (or otherwise) BODMAS/BIDMAS - use this to determine the order in which to solve a problem with multiple operations eg 4² + 5 (3-2) Reciprocals - define reciprocals and find the reciprocals of whole numbers and fractions eg the reciprocal of 5/6 is 6/5 Calculator questions - use your calculator efficiently to work out problems inc those with multiple operations and fractions Product of primes - express a number as a product of its prime factors. Use a factor tree. May need to write answer in index form Highest Common Factor (HCF) - find the largest number that can divide exactly into 2 or 3 given numbers. Use a factor tree (or otherwise) Lowest Common Multiple (LCM) - find the smallest number that 2 or 3 given numbers can divide into. This number must be in these given numbers' timese tables. Use a factor tree (or otherwise) Squares, cubes and roots - use sqaures, cubes and square roots to solve problems. Know squares up to 15 X 15 and cubes up to 10 X 10 x 10. Working with indices - express numbers in index form eg 2 x 2 x 2 x 2 = 2⁴ and vice versa. Use this knowledge to solve problems Standard form - change ordinary numbers to standard form and vice versa eg 879 000 000 = 8.79 X 10⁸ Decimals and fraction - solve both calculator and non-calculator problems involving fraction, decimals or both Fractions, percentages, decimals - convert between fractions decimals and percentages. Know that these 3 are interchangeable and use appropriately Percentages of an amount (Calc) - use calculator to work out a percentage of an amount eg 20% of 65 Percentages of an amount (Non-Calc) - use an appropriate noncalculator method to work out percentages eg to find 20% work out 10% then double it Change to a percentage (Calc) - convert a fraction or a decimal to a percentage using a calculator Change to a percentage (Non-Calc) - convert a fraction or a decimal to a percentage without a calculator Rounding to significant figures - wirtie values to a specified number of significant figures eg 23.976 to 2 sf = 24 Estimating answers - use knowledge of rounding to estimate answers Using place value - use knowledge of place value to solve problems and estimate answers Expanding brackets - multiply out brackets eg 4(2x +5) = 8x + 20 Simple factorisation - Put the brackets back in eg 8x + 20 = 4(2x + 5) Substitution - work out a question by replacing the values of the letters with numbers given eg find 2x +y if x=2 and y=3 Straight line graphs - draw straight line graphs by completing a table of values and plotting the (x,y) points on a set of axes. Read off the gradient and y-intercept from the graph. Write equation in form y-=mx+c given graph The gradient of a line - read off gradient from a graph. Work out gradient given 2 points on the line Drawing quadratic graphs - draw quadratic graph by completing table of values and plotting (x,y) points on the set of axes Sketching functions - make a good sketch of a graph given information such as the x- and/or y-intercept, the gradient or the turning point in case of a quadratic Solving equations using flowcharts - use inverse flow diagrams to solve 2step linear equations Subject of a formula using flow chart - as with linear equations, find the subject of the formula using an inverse flow diagram Generate a sequence from nth term - use the nth term to find any term in a sequence by substitution eg nth term = 3n - 2, then 1st term = 3(1) - 2 =1 Finding the nth term - find the nth term of a linear sequence eg 3, 5, 7, 9...nth term = 2n+1 Special sequences - explore special sequences such as square numbers and triangle numbers Exchanging money - changing from one currency to another eg euros to pounds or pounds to $US Sharing using ratio - sharing an amount into specified ratios eg Share £32 in the ratio 5:3. Ratios, fractions and graphs - solve problems involving fractions, ratios and graphs Increase/decrease by a percentage - work out percentage increase and decrease using both multiplier and non-calculator methods Percentage change - use knowledge of percentage increase and decrease to calculate percentage change Reverse percentage problems - find reverse percentage using the multiplier method Simple interest - use knowledge of percentage to calculate simple interest Metric conversions - changing between different metric measurements eg change 250 cm to metres Problems on coordinate axes - use knowledge of coordinate axes and plotting (x,y) points to solve problems such as locating point on a geometric shape Surfaces area of a prism - calculate the surface area of a prism. Use knowledge of nets of prisms Volume of a cuboid - work out volume of cuboids Circle definitions - define a circle. Identify and define parts of the circle Area of a circle - use formula to work out area of circle where Area = pi r² Circumference of a circle - work out circumferemce of circle where c= 2 pi r or pi d Volume of a prism - work out volume of prism where volume = area of cross section x length Angles and parallel lines - identify the relationship between angles on parallel line eg alternate angles, corresponding angles and co-interior angles Angles in a triangle - find missing angles in triangles using angles in a trianlge add up to 180⁰ Prpoerties of special triangles - identify different types of triangles and use their special properties to solve angle problems Angle sum of polygons - find the sum of interior and exterior angles of polygons. Use angle sum of triangle as a starting point. Bearings - locate the bearings of point form another fixed point. Locate a point given its bearing from another point Experimental probabilities - use experiments to work out relative probability eg if a bias die is rolled 600 times, what is the probability that it will land on a 2. Possibility spaces - use sample space diagrams to show events and calculate probability Venn diagrams - use Venn diagrams to show events and calculate probability Pie charts - interpret and draw pie charts Scatter diagrams - identify different types of correlation, draw and interpret scatter diagrams Averages from a table - work out mean, mode and median from a frequency table. For grouped frequency tables you must use the midpoint of each class interval