Time Topic What students should know Mathswatch links for revision 1.1 Number
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- Dorthy Lang
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1 . Number Work out the total number of ways of performing a series of problems tasks. reasonin g. Place value estimatin g Estimate an answer. Use place value to answer questions. 9 - Using Place Value 9 - Estimating Answers. HCF LCM Write a number of the product of its prime factors. Find the HCF LCM of two numbers Product Of Primes 79 - Highest Common Factor (HCF) 80 - Lowest Common Multiple (LCM). Calculati ng with powers (indices) Use powers roots in calculations. Multiply divide using index laws. Work out a power raised to a power. - Index Notation 8 - Working With Indices.5 Zero, negative fractional indices Use negative indices. Use fractional indices. 5 - Negative Indices 88 - Fractional Indices
2 .6 Powers of 0 stard form Write a number in stard form. Calculate with numbers in stard form. 8 - Stard Form.7 Surds Underst the difference between rational irrational numbers. Simplify a surd. Rationalise a denominator Surds. Algebraic indices Use the rules of indices to simplify algebraic expressions. - Index Notation 8 - Working With Indices 5 - Negative Indices 88 - Fractional Indices. Expin g factorisin g Exp brackets. Factorise algebraic expressions. 9 - Exping Brackets - Exping & Simplifying Brackets 9 - Simple Factorisation
3 . Equation s Solve equations involving brackets numerical fractions. Use equations to solve problems. 9 - Exping Brackets - Exping & Simplifying Brackets 5 - Solving Equations. Substitute numbers into formulae. Rearrange formulae. Distinguish between expressions, equations, formulae identities Substitution 6 - Rearranging Simple 90 - Rearranging Difficult.5 Find a general formula for Linear the nth term of an arithmetic sequence sequence. s Determine whether a particular number is a term of a given arithmetic sequence. 0 - Nth term
4 .6 Nonlinear geometric sequences. Solve problems using sequence Work out terms in Fibonnacilike sequences. s Find the nth term of a quadratic sequence. - Finding The Nth Term Of A Quadratic 0 - Special Sequences - Fibonnaci Sequences.7 More expin Exp the product of two brackets Difference Of Two Squares g Use the difference of two - Exping & Simplifying factorisin squares. Brackets g Factorise quadratics of the form x + bx + c Factorising & Solving Quadratics. Statistica l diagrams. Time series. Scatter. Line of best fit.5 Averages range Construct use back-toback stem leaf diagrams. Construct use frequency polygons pie charts. Plot interpret time series Use trends to predict what might happen in the future. Plot interpret scatter Determine whether or not there is a linear relationship between two variables. Draw a line of best fit on a scatter graph. Use the line of best fit to predict values. Decide which average is best for a set of data. Estimate the mean range from a grouped frequency table. Find the modal class the group containing the median. 8 - Pie Charts 5 - Time Series 9 - Scatter Diagrams 9 - Scatter Diagrams 6 - Averages & The Range 0 - Averages From A Table
5 5.6 Statistica l diagrams. Fractions Construct use two-way tables. Choose appropriate diagrams to display data. Recognise misleading Add, subtract, multiply divide fractions mixed numbers. Find the reciprocal of an integer, decimal or fraction. 6 - Two Way Tables 7 - Adding & Subtracting Fractions 7 - Multiplying Fractions 7 - Dividing Fractions 76 - Reciprocals. Ratios. Ratio proportio n. Percenta ges.5 Fractions, decimals percenta ges 5. Angle propertie s of triangles quadrilat erals 5. Interior angles of a polygon 5. Exterior angles of a polygon Write ratios in the form : n or n :. Compare ratios. Find quantities using ratios. ratios. Convert between currencies measures. Recognise use direct proportion. ratios proportion. Work out percentage increases decreases. Solve real-life problems involving percentages. Calculate using fractions, decimals percentages. Convert a recurring decimal to a fraction. Derive use the sum of angles in a triangle in a quadrilateral. Derive use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. Calculate the sum of the interior angles of a polygon. Use the interior angles of polygons to solve problems. Know the sum of the exterior angles of a polygon. Use the angles of polygons to solve problems. 8 - Introduction To Ratio 06 - Sharing Using Ratios 07 - Ratios, Fractions & Graphs 99 - Direct & Inverse Proportion 86 - Percentage Of An Amount (Calc) 87 - Percentage Of An Amount (Non Calc) 08 - Increase/Decrease By A Percentage 85 - Fractions, Percentages, Decimals 77 - Recurring Decimals To Fractions 5 - Angles On A Line & At A Point - Angles In A Triangle - Angle Sum Of Polygons 5 - Angles On A Line & At A Point - Angles In A Triangle - Angle Sum Of Polygons 5 - Angles On A Line & At A Point - Angles In A Triangle - Angle Sum Of Polygons
6 5. Pythagor as theorem 5.5 Pythagor as theorem Calculate the length of the hypotenuse in a right-angled triangle. Solve problems using Pythagoras theorem. Calculate the length of a shorter side in a right-angled triangle. Solve problems using Pythagoras theorem Pythagoras Theorem 50 - Pythagoras Theorem 5.6 Trigono metry 5.7 Trigono metry 6. Linear Use trigonometric ratios to find lengths in a right-angled triangle. Use trigonometric ratios to solve problems. Use trigonometric ratios to calculate an angle in a rightangled triangle. Find angles of elevation angles of depression. Use trigonometric ratios to solve problems. Know the exact values of the sine, cosine tangent of some angles. Find the gradient y- intercept from a linear equation. Rearrange an equation into the form y = mx + c. Compare two from their equations. Plot with equations ax + by = c Trigonometry 7 - Exact Trigonometric Values 68 - Trigonometry 7 - Exact Trigonometric Values 96 - Straight Line Graphs 97 - Gradient Of A Line 59 - Equation Of A Straight Line 6 - Rearranging Simple 6. More linear 6. Graphing rates of change 6. Reallife Sketch using the gradient intercepts. Find the equation of a line, given its gradient one point on the line. Find the gradient of a line through two points. Draw interpret distance time Calculate average speed from a distance time graph. Underst velocity time Find acceleration distance from velocity time Draw interpret real-life linear Recognise direct proportion. Draw use a line of best fit Straight Line Graphs 97 - Gradient Of A Line 59 - Equation Of A Straight Line 6 - Rearranging Simple - Distance Time Graphs 6 - Velocity Time Graphs - Distance Time Graphs 6 - Velocity Time Graphs 99 - Direct & Inverse Proportion 9 - Scatter Diagrams
7 6.5 Line segment s 6.6 Quadrati c Find the coordinates of the midpoint of a line segment. Find the gradient length of a line segment. Find the equations of lines parallel or perpendicular to a given line. Draw quadratic Solve quadratic equations using Identify the line of symmetry of a quadratic graph. Interpret quadratic relating to real-life situations. 7 - Half Way Values 96 - Straight Line Graphs 97 - Gradient Of A Line 59 - Equation Of A Straight Line 98 - Drawing Quadratic Graphs 57 - Factorising & Solving Quadratics 60 - Roots & Turning Points Of Quadratics 6.7 Cubic reciproca l Draw of cubic functions. Solve cubic equations using Draw of reciprocal functions. Recognise a graph from its shape. 6 - Cubic & Reciprocal Graphs 6.8 More 7. Perimet er area 7. Units accurac y 7. Prisms 7. Circles Interpret linear nonlinear real-life Draw the graph of a circle. Find the perimeter area of compound shapes. Recall use the formula for the area of a trapezium. Convert between metric units of area. Calculate the maximum minimum possible values of a measurement. Convert between metric units of volume. Calculate volumes surface areas of prisms. Calculate the area circumference of a circle. Calculate area circumference in terms of π Straight Line Graphs 97 - Gradient Of A Line 59 - Equation Of A Straight Line 98 - Drawing Quadratic Graphs 57 - Factorising & Solving Quadratics 60 - Roots & Turning Points Of Quadratics 97 - Equation Of A Circle 5 - Perimeter 5 - Area Of A Rectangle 5 - Area Of A Triangle 55 - Area Of A Parallelogram 56 - Area Of A Trapezium - Compound Units 06 - Upper & Lower Bounds - Compound Units - Surface Area Of A Prism 5 - Volume Of A Cuboid 9 - Volume Of A Prism 6 - Circle Definitions 7 - Area Of A Circle 8 - Circumference Of A Circle
8 7.5 Sectors of circles 7.6 Cylinder s spheres 7.7 Pyramids cones 8. D solids Calculate the perimeter area of semicircles quarter circles. Calculate arc lengths, angles areas of sectors of circles. Calculate volume surface area of a cylinder a sphere. volumes surface areas. Calculate volume surface area of pyramids cones. pyramids cones. Draw plans elevations of D solids. 6 - Circle Definitions 7 - Area Of A Circle 9 - Tangents, Arcs, Sectors & Segments 8 - Circumference Of A Circle - Surface Area Of A Prism 5 - Volume Of A Cuboid 9 - Volume Of A Prism 69 - Spheres 70 - Pyramids 7 - Cones 5 - Plans & Elevations 8. Reflectio n rotation Reflect a D shape in a mirror line. Rotate a D shape about a centre of rotation. Describe reflections rotations. 8 - Reflections 9 - Rotations 8. Enlargem ent 8. Transfor mations combinat ions of transfor mations 8.5 Bearings scale drawings 8.6 Construc tions Enlarge shapes by fractional negative scale factors about a centre of enlargement. Translate a shape using a vector. Carry out describe combinations of transformations. Draw use scales on maps scale drawings. bearings. Construct triangles using a ruler compasses. Construct the perpendicular bisector of a line. Construct the shortest distance from a point to a line using a ruler compasses. 8 - Enlargements 8 - Enlargements Negative Scale Factors 50 - Translations 8 - Combinations Of Transformations - Bearings 7 - Drawing Triangles Using Compasses 5 - Bisecting An Angle 6 - Constructing Perpendiculars
9 8.7 Construc tions Bisect an angle using a ruler compasses. Construct angles using a ruler compasses. Construct shapes made from triangles using a ruler compasses. 8.8 Loci Draw a locus. Use loci to solve problems. 7 - Drawing Triangles Using Compasses 5 - Bisecting An Angle 6 - Constructing Perpendiculars 65 - Loci
Time Topic What students should know Mathswatch links for revision Number problems and reasoning
. Number problems and reasoning Work out the total number of ways of performing a series of tasks.. Place value and estimating Estimate an answer. Use place value to answer questions. 9 - Using Place Value
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