Key Stage 2 Step 1- Step 2 Key Stage 2 
Key Stage 3 Step 3 - Step 4 Key Stage 3 
Key Stage 4 Step 5 - Step 6  GCSE grade 3 - 4
Key Stage 4 Step 7 - Step 8  GCSE grade 4 - 7
Key Stage 4 Step 9 - Step 12  GCSE grade 7 - 9

 

Step 1

Topic: Lesson: Topic: Lesson:
Number Read and write large numbers Number Indentify numbers
Number Round positive whole numbers to the nearest 10, 100 or 1000 Number Round using decimal places
Number Round using significant figures Number Estimate numbers
Number Using an empty number line Number Use standard column procedures to add and subtract whole numbers
Number Multiply and divide integers by 10 and 100, and explain the effect Number Long and short multiplication
Number Long and short division Number Know and use the order of operations
Number Apply simple tests of divisibility Number order positive and negative integers
Statistics Find range from a set of ordered data Geometry and measures Know the names of 2d shapes
Geometry and measures Identify and name common solids: cube, cuboid, cylinder, prism, pyramid, sphere and cone Geometry and measures Know the terms face, edge and vertex
Geometry and measures Use a protractor to measure acute angles to the nearest degree Geometry and measures Distinguish between acute, obtuse and reflex angles
Geometry and measures Know the sum of angles on a straight line Geometry and measures Find the perimeter of a square/rectangle by counting
Geometry and measures Identify complex arrangements of a net of a cube Geometry and measures Work out time intervals
Geometry and measures Read and interpret scales on a range of measuring instruments Geometry and measures Suggest suitable units to estimate or measure length, mass and capacity
Geometry and measures Identify all the symmetries of 2-D shapes

 

Step 2

Topic: Lesson: Topic: Lesson:
Number Understand addition and subtraction as they apply to whole numbers and decimals Number Be able to use > or < correctly between two positive decimals. Decimals should be to 4 or 5 significant figures
Number Be able to order positive decimals. Decimals should be to 4 or 5 significant figures Geometry and measures Know the sum of angles round a point
Geometry and measures Explain why some shapes tessellate and why other shapes do not Geometry and measures Find the perimeter of a shape
Geometry and measures Choose suitable metric units to estimate length and area Geometry and measures Identify quadrilaterals from their properties
Geometry and measures Know the sum of angles in a triangle is 180° Geometry and measures Know the sum of angles in a quadrilateral is 360°
Geometry and measures Translate a shape on a square/coordinate grid Geometry and measures Recognise and visualise the reflection in a mirror line of a 2-D shape
Ratio, proportion and rates of change Read and construct scale drawings Statistics Calculate Mode
Statistics Calculate Median Statistics Calulate mean

 

Step 3

Topic: Lesson: Topic: Lesson:
Number Understand multiplication as it applies to decimals Number Understand division as it applies to decimals
Number Recognise and use multiples Number Recognise and use factors
Number Identify numbers with exactly 2 factors (primes) Number Understand how to find common multiples
Number Understand how to find the common factors Number Knowing simple Fraction, Decimal and Percentage equivalents
Number Convert percentages to fractions out of 100 Number Convert percentage to decimals
Number Convert terminating decimals to fractions, e.g. 0.23 = 23/100 Number Calculating simple percentages without a calculator
Number Find roots of square numbers upto 100 (i.e. roots upto 10) Algebra Find outputs and inputs of more complex functions expressed in words (e.g. add 6 then multiply by 3)
Algebra Use function machines to find coordinates Algebra Read values from straight-line graphs for real-life situations
Algebra Drawing straight-line graphs for real-life situations Algebra Read and plot co-ordinates in all four quadrants
Algebra Be able to interpret inequalities and show on a number line Algebra Generate terms of a simple sequence using term to term rule
Algebra Generate and describe simple integer sequences – square and triangle numbers Algebra Generate terms of a simple sequence arising from practical contexts (Pictorial)
Probability Use a probability scale with words Probability Mark events and/or probabilities on a probability scale of 0 to 1
Statistics Represent data in a table (Tally chart) Statistics Extract data and interpret discrete bar charts
Statistics Construct simple bar charts to represent discrete data Statistics Produce dual bar charts
Statistics Produce pictograms Statistics Find the mode and range from a bar chart
Statistics Interpret simple pie charts using simple fractions and percentages Geometry and measures Using correct notation to label lines, angles and triangles
Geometry and measures Use the formula for the area of a rectangle/square Geometry and measures Use the formula for the area of a triangle
Geometry and measures Calculate the surface area of cubes with a net Geometry and measures Calculate perimeter and area of compound shapes made from triangles, rectangles
Geometry and measures Identify simple angle, side and symmetry properties of triangles Geometry and measures Identify angle, side and symmetry properties of simple quadrilaterals
Geometry and measures Recognise and visualise – rotation about a given point (rotation point must be outside the shape) Geometry and measures Begin to estimate the size of angles
Ratio, proportion and rates of change Use fraction notation to describe parts of shapes Ratio, proportion and rates of change Recognise the equivalence of percentages, fractions and decimals

 

Step 4

Topic: Lesson: Topic: Lesson:
Number Multiply three-digit by two-digit whole numbers Number Begin to add and subtract simple fractions and those with simple common denominators
Number Add and subtract positive integers from negative integers Number Multiply and divide negative integers by a positive and negative numbers
Number Add and subtract integers - positive and negative numbers Number Use inverse operations
Number Simplify fractions by cancelling all common factors Number primes factor decomposition
Number Calculate simple fractions of quantities and measurements (whole-number answers) Number Extend the percentage calculation strategies with jottings to find any percentage, e.g. 17.5% by finding 10%, 5% and 2.5%, and adding
Number Use index notation for squares and cubes and for positive integer powers of 10 (e.g. write 27 as 3³ and 1000 as 10³) Number Be able to order negative decimals with the smallest on the left. Decimals should be to 2 or 3 significant figures
Number Order fractions, decimals and percentages Algebra Substitute positive integers into simple formulae expressed in letter symbols, e.g. a+/- b, a × b
Algebra Substitute integers into more complex formulae expressed in letter symbols, e.g. a/b, ax +/- b Algebra simplify algebraic expressions by collecting like terms
Algebra Form expression from words Algebra Plot a simple distance-time graph (straight-line graphs)
Algebra Plot and draw vertical and horizontal line graphs Algebra Generate terms of a linear sequence using term-to-term using positive or negative integers
Algebra Multiply together two simple algebraic expressions, e.g. 2a × 3b Probability Apply the property that the probabilities of an exhaustive set of outcomes sum to 1
Probability Identify all possible mutually exclusive outcomes of a single event Probability Know that if the probability of an event is p, the probability of it not occurring is 1-p
Probability Compare experimental and theoretical probabilities Statistics Extract data and interpret frequency tables
Statistics Find the modal class for a small set of grouped discrete data Statistics Use information provided to complete a two-way table
Statistics Produce pie-charts Statistics Compare two simple distributions using the range and the median
Statistics Calculate the mean from a simple frequency table Statistics Compare two simple distributions using the mean
Statistics Interpret data from simple compound and comparative bar charts Statistics find the range and modal class interval from grouped data
Statistics Calculate the interval from grouped data containing the median Statistics Estimate the mean from a grouped frequency table
Geometry and measures Identify interior and exterior angles in a shape Geometry and measures Recognise and use vertically opposite angles
Geometry and measures Derive and use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles Geometry and measures Calculate the surface area of simple cuboids (without use of nets)
Geometry and measures Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS) Geometry and measures Begin to use plans and elevations
Geometry and measures Solve simple problems involving units of measurement in the context of length and area Geometry and measures Draw or complete diagrams with a given number of lines of symmetry
Probability Mutually exclusive outcomes Ratio, proportion and rates of change Recognise and visualise the rotational symmetry of a 2-D shape
Geometry and measures Solve geometric problems using side and angle properties of equilateral and isosceles triangles Geometry and measures Solve simple geometrical problems using properties of quadrilaterals
Geometry and measures Give a bearing between 2 points Ratio, proportion and rates of change Express the division of a quantity into a number of parts as a ratio
Ratio, proportion and rates of change Convert between simple metric units Ratio, proportion and rates of change Express one number as a fraction of another
Ratio, proportion and rates of change Divide a quantity into two parts in a given ratio, where ratio given in ratio notation Ratio, proportion and rates of change Use percentages to compare simple proportions
Ratio, proportion and rates of change Express one given number as a percentage of another Ratio, proportion and rates of change Find a percentage of a quantity using a multiplier
Ratio, proportion and rates of change Interpet percentages and percentage change as a fraction or a decimal Ratio, proportion and rates of change Use ratio notation
Ratio, proportion and rates of change Reduce a ratio to its simplest form

 

Step 5

Topic: Lesson: Topic: Lesson:
Number Add and subtract simple fractions with denominators of any size Number Multiply a fraction by an integer
Number Be able to multiply any number by 0.1 and 0.01 Number Be able to divide any number by 0.1 and 0.01
Number Add and subtract up to 3 fractions mixing both addition and subtraction into the calculation, with denominators less than or equal to 12 and using the LCM denominator in the calculation - the answer can be a mixed number Number Add mixed number fractions without common denominators, where the fraction parts add up to more than 1
Number Subtracting mixed fractions Number work interchangeably with terminating decimals and their corresponding fractions ( such as 3.5 and 7/2 or 0.375 or 3/8)
Number Learn fractional equivalents to key recurring decimals e.g. 0.333333..., 0.66666666..., 0.11111... and by extension 0.222222... Number Calculate fractions of quantities and measurements (fraction answers)
Algebra Substitute positive and negative integers into simple formulae Algebra Write expressions to solve geometric problems
Algebra use graphs to solve distance-time problems Algebra Interpret information from a complex real life graph (fixed charge/unit cost), read values and discuss trends
Algebra Find the coordinates of points identified by geometrical information in 2D ( all four quadrants) for simple shapes e.g. squares and rectangles Algebra Plot and draw graphs of straight lines using a table of values
Algebra Begin to use linear expressions to describe the nth term in a two-step arithmetic sequence (e.g. nth term is 3n + 1 or n/2 − 5) Probability Estimate the number of times an event will occur, given the probability and the number of trials
Probability Apply probabilities from experimental data to a different experiment in simple situations (only looking at one outcome) - how many successes would you expect? Probability Identify all mutually exclusive outcomes for successive events
Probability Record outcomes of events in tables and grids Probability Find the probability of an event happening using relative frequency
Probability Write probabilities in words, fractions, decimals and percentages Probability Work out probabilities from frequency tables
Probability Work out probabilities from two-way tables Statistics Interpret and/or compare bar graphs and frequency diagrams which are misleading (with false origins, different scales etc.)
Statistics Design a question for a questionnaire and critiques Statistics Produce grouped frequency tables for continuous data
Statistics Construct complex bar graphs (should be compound) Statistics Interpret a scatter graph
Geometry and measures Identify alternate and corresponding angles on parallel lines and their values Geometry and measures Solve harder problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons - by looking at several shapes together
Geometry and measures Know the formulae for the volume of cube and a cuboid Geometry and measures Use a formula to calculate the area of parallelograms
Geometry and measures Use straight edge and compasses to construct the mid point and perpendicular bisector of a line segment Geometry and measures Know the names of parts of a circle
Geometry and measures Draw a circle given the radius or diameter Ratio, proportion and rates of change Use the unitary method to solve simple word problems involving ratio and direct proportion
Ratio, proportion and rates of change Divide a quantity into more than two parts in a given ratio Ratio, proportion and rates of change Use a ratio to find one quantity when the other is known
Ratio, proportion and rates of change Use proportional reasoning to solve a problem Ratio, proportion and rates of change Find the percentage profit or loss

 

Step 6

Topic: Lesson: Topic: Lesson:
Number Identify upper and lower bounds for rounding of discrete and continuous data Number Write numbers as a decimal number of millions or thousands, e.g. 23 600 000 as 23.6 million
Number Divide an integer by a fraction Number Understand which part of an expression is raised to a power by knowing the difference between 3 × (7 + 8)² and 3² × (7 + 8) and (3 × (7 + 8))²
Number Calculate average speed, distance, time - in mph as well as metric measures Number Understand the effect of multiplying or dividing any number between 0 and 1
Number Multiply simple fractions (proper and improper) - Number Divide simple fractions (proper and improper)
Number Use halving and doubling strategies on fractions to find decimal equivalents of other fractions, e.g. 1/4 = 0.25 so 1/8 is half of 0.25 etc. Original fact is given Number Establish multiplying and dividing index laws
Number index laws for powers of 1 and 0 Number Use an extended range of calculator functions, including +, -, x, , x², √x, memory, xy, x1/y, brackets
Algebra Substitute positive integers into expressions involving small powers (up to 3) Algebra Expand single brackets
Algebra Expand two single brackets and simplify Algebra Manipulate expressions by taking out common factors, not necessarily the highest e.g. 4x + 8 = 2(2x + 4)
Algebra Change the subject of a formula in one step e.g. y = x + 4 Algebra Begin to consider the features of graphs of simple linear functions, where y is given explicitly in terms of x, e.g. y = x, y = 2x, y = 3x are all straight lines that pass through the origin, vary in steepness depending on the function
Algebra Draw velocity-time graphs Algebra Find the coordinates of the midpoint of a line from a given graph
Algebra Recognise that equations of the form y = mx + c correspond to straight-line graphs in the coordinate plane Algebra Write down whole number values that satisfy an inequality
Algebra Find a specific term in the sequence using position-to-term rules Probability complete a probability tree diagram based on given information (no more than 3 branches per event)
Probability Use tree diagrams to calculate the probability of two independent events Statistics Produce ordered back-to-back stem and leaf diagrams
Statistics Recognise when it is appropriate to use mean, median or mode in more complex cases (put in extreme values) Statistics Construct and use frequency polygons to compare sets of data
Statistics Identify and explain anomalies (outliers) in a data set Statistics Recognise types of quantitative and qualitative data
Statistics Understand what is meant by a sample and a population Statistics Understand primary and secondary data sources
Geometry and measures Identify co-interior angles and their values Geometry and measures Calculate exterior angles of any polygon using the sum is 360°
Geometry and measures Calculate the interior angles of polygons Geometry and measures Use a formula to calculate the area of trapezia
Geometry and measures Use the formula for the circumference of a circle Geometry and measures Use the formulae for area of a circle, given the radius or diameter
Geometry and measures Use straight edge and compasses to construct the bisector of an angle Geometry and measures Use straight edge and compasses to construct a triangle given three sides (SSS)
Geometry and measures Construct an equilateral triangle Geometry and measures Construct a regular hexagon inside a circle
Geometry and measures Begin to use the trigonometric ratios to find the size of an angle in a right-angled triangle Geometry and measures Enlarge 2-D shapes, given a centre of enlargement and a positive whole number scale factor
Geometry and measures Find the centre of enlargement Ratio, proportion and rates of change Write ratios in the form 1: m or m: 1
Ratio, proportion and rates of change Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons) Ratio, proportion and rates of change Convert between area measures (e.g. mm² to cm², cm² to m², and vice versa)
Ratio, proportion and rates of change Convert between metric measures of volume and capacity eg 1 cm³ = 1 ml Ratio, proportion and rates of change Use a unitary method, e.g. if £40 is 60%, find 1% by dividing by 60 and then 100% by multiplying by 100. Give them the scaffolding to answer the question
Ratio, proportion and rates of change Use percentages in real life simple interest, income tax calculations Ratio, proportion and rates of change Use and interpret maps, using proper map scales (1 : 25 000)

 

Step 7

Topic: Lesson: Topic: Lesson:
Number Find the reciprocal of simple numbers/fractions mentally, e.g. 10 and 1/10, 1/3 and 3 etc. Know that a number multiplied by its reciprocal is 1 Number Understand and use compound measures: density; pressure; speed
Number Use the index laws to include negative power answers Number Convert between currencies
Number Write numbers greater than 10 in standard index form Algebra Use systematic trial and improvement to find the approximate solution to one decimal place of equations such as x³ = 29
Algebra solve equations that involves multiplying out brackets by a negative number (e.g. 4(2a - 1) = 32 - 3(2a - 2)) Algebra Multiply out double brakets and collect like terms
Algebra Substitute positive and negative integers into linear expressions and expressions involving powers Algebra Factorise to one bracket by taking out the highest common factors for all terms e.g. 2x²y + 6xy² = 2xy(x + 3y)
Algebra Find an unknown where it is not the subject of the formula and where an equation must be solved Algebra Identify parallel lines from their equations
Algebra Generate points and plot graphs of simple quadratic functions Algebra Construct a table of values, including negative values of x for a function such as y = ax²
Algebra Recognise that linear functions can be rearranged to give y explicitly in terms of x e.g. rearrange y + 3x - 2 = 0 in the form y = 2 - 3x Algebra Solve simple linear inequalities in one variable and represent the solution on a number line
Probability Record outcomes of events in a Venn Diagram Statistics Find the median, mode and range from a stem and leaf diagram
Statistics Understand that the frequency represented by corresponding sectors in two pie charts is dependent upon the total populations represented by each of the pie charts Statistics Know the definition and methods of random sampling
Statistics Scattergraphs - Use a line of best fit, or otherwise, to predict values of one variable given values of the other variable Geometry and measures Calculate the volume of prisms
Geometry and measures Calculate the surface area of prisms Geometry and measures Calculate the lengths and areas given the volumes in right prisms
Geometry and measures Calculated volumes in cylinders Geometry and measures Find the perimeters and areas of semicircles and quarter circles
Geometry and measures Use the information given about the length of sides and sizes of angles to determine whether triangles are congruent Geometry and measures Use straight edge and compass to construct the perpendicular from a point on a line segment
Geometry and measures Understand loci about a point, line and corner Geometry and measures Construct angles of 60°, 90°, 30°, 45°
Geometry and measures Know the formula for Pythagoras' theorem and use to find the hypotenuse Geometry and measures describe and Use vector notation for translations
Geometry and measures describe an enlargement Geometry and measures Describe a rotation transformation
Geometry and measures Describe reflections transformaion Ratio, proportion and rates of change Use algebraic methods to solve problems involving variables in direct proportion
Ratio, proportion and rates of change Use expressions of the form y α 1/x Ratio, proportion and rates of change Calculate compound interest
Ratio, proportion and rates of change Use measures in ratio and proportion problems (best value)

 

Step 8

Topic: Lesson: Topic: Lesson:
Number Multiply and divide simple fractions (mixed) - Number Calculate with roots (surds - exact values)
Number Write numbers less than 10 in standard index form Number Order numbers written in standard index form
Number Add and subtract in standard form Number Multiply and divide numbers in standard form
Algebra Find the equation of a straight-line from its graph Algebra Recognise that when the linear and inverse of a linear function such as y = 2x, y = 3x are plotted, they are a reflection in the line y = x
Algebra Interpret distance-time graphs and calculate the speed of individual sections, total distance and total time Algebra Interpret gradient as rate of change in distance-time and speed-time graphs, containers emptying and filling and unit price graphs
Algebra Identify and interpret roots, intercepts and turning points of a quadratic graph Algebra Given the coordinates of points A and B, calculate the length of AB
Algebra Plot and draw graphs of straight lines WITHOUT using a table of values (use intercept and gradient) Algebra Recognise a quadratic function from its equation and explain the shape of it's graph
Algebra Solve more complex linear inequalities in one variable and represent the solution on a number line Algebra Use algebra to support proofs e.g. show that the volume of a cube with side lengths of (2x - 1)cm is (8x³ - 12x² + 6x - 1)cm³
Algebra Identify which terms cannot be in a sequence Algebra Recognise and use simple geometric progressions (rn where n is an integer and r is a rational number number
Algebra By looking at the spatial patterns of triangular numbers, deduce that the nth term is 1/2n(n + 1) Algebra Solve linear/linear simultaneous equations graphically
Algebra Solve simultaneous equations where neither or one equation needs multiplying Algebra Set up and solve a pair of simultaneous equations in two variables
Algebra Solve simultaneous equations representing a real-life situation Probability Use tree diagrams to calculate the probability of two dependent events
Statistics Construct cumulative frequency tables and draw the graph Statistics Interpret box plots to find median, quartiles, range and interquartile range
Statistics Produce box plots from raw data and identify outliers when given quartiles and median Geometry and measures Find the surface area and volumes of compound solids constructed from cubes, cuboids, cones, pyramids, spheres, hemispheres, cylinders
Geometry and measures Recognise the formulae for length of arcs in a circle Geometry and measures Recognise the formulae for area of sectors in a circle
Geometry and measures Use simple examples of the relationship between enlargement and areas and volumes of simple shapes and solids Geometry and measures Know the formula for Pythagoras' theorem and use to find a shorter side
Geometry and measures Use Trigonometry to find unknown sides of a right angled triangle Geometry and measures Use Trigonometry to find missing angles of a right angled triangle
Geometry and measures Add and Subtract vectors

 

Step 9

Topic: Lesson: Topic: Lesson:
Algebra Change the subject of a complex formula that involves fractions, e.g. make u or v the subject of the formula 1/v + 1/u =1/t Algebra Find approximate solutions of a quadratic equation from the graph of the corresponding quadratic function
Algebra Recognise, sketch and interpret graphs of simple cubic functions Algebra Recognise, sketch and interpret reciprocal graphs
Algebra Solve linear inequalities in two variables graphically Algebra Answer simple proof and 'show that' questions using consecutive integers (n, n+ 1), squares a², b², even numbers 2n, and odd numbers 2n + 1
Algebra Continue a quadratic sequence and use the nth term to generate terms Algebra Cube a linear expression and simplify
Statistics Interpret cumulative frequency graphs Statistics Compare the measures of spread between a pair of box plots/cumulative frequency graphs
Geometry and measures Prove and use the fact that the angle in a semicircle is a right angle ; Geometry and measures Prove and use the fact that opposite angles of a cyclic quadrilateral sum to 180°
Geometry and measures Prove and use the fact that angles in the same segment are equal Geometry and measures Prove and use facts about the angle subtended at the centre and at the circumference;
Geometry and measures Know that the tangent at any point on a circle is perpendicular to the radius at that point Geometry and measures Find angles of elevation and angles of depression
Ratio, proportion and rates of change Use expressions of the form y α x²

 

Step 10

Topic: Lesson Topic: Lesson:
Number Use the product rule for counting (i.e. if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n ways) Number Convert a recurring decimal to a fraction in simple cases
Algebra Deduce turning points by completing the square Algebra Sketch a graph of a quadratic by factorising, identifying roots and y-intercept , turning point
Algebra Find the equation of the line through two given points Algebra Find the equation of the line through one point with a given gradient
Algebra Know that a line perpendicular to the line y = mx + c, will have a gradient of -1/m Algebra Finding the equation of a circle on a graph
Algebra Simplify and manipulate algebraic expressions involving surds and algebraic fractions Algebra Find approximate solutions to simultaneous equations formed from one linear function and one non-linear ( quadratic or circle) function using a graphical approach
Probability Use Venn diagrams to calculate conditional probability Statistics Stratified sampling - know the definition and state in terms of proportion, fraction, percentage or ratio
Geometry and measures Prove and use the alternate segment theorem Geometry and measures Understand, recall and use Pythagoras' theorem in 3-D problems
Geometry and measures Enlarge 2D shapes, given a negative, fractional scale factor Geometry and measures Know and apply the sine rule a/sin A = b/sin B = c/sin C to find unknown lengths and angles
Geometry and measures know and apply the cosine rule a² = b² + c² – 2bc cos A to find unknown lengths Geometry and measures Calculate the area of a triangle given the length of two sides and the included angle
Geometry and measures Work out the magnitude of a vector Algebra Solve a quadratic equation by completing the square
Algebra Solve quadratic equations using the formula

 

Step 11

Topic: Lesson: Topic: Lesson:
Number Calculate the upper and lower bounds of 2-D measurements e.g. area Number Write (3 - √3)² in the form a + b√3
Number Rationalise a denominator Algebra Apply to the graph of y = f(x) the transformations y = f(x) + a y = f(ax) y = f(x + a) y = af(x) for linear, quadratic
Algebra Apply to the graph of y = f(x) the transformations cubic, sine and cosine functions f(x) Algebra Find the gradient of the radius that meets the circle at a given point
Algebra Find the nth term of a quadratic sequence of the form n² ,an², an² ± b, an² ± bn ± c, Algebra Solve exactly, by elimination of an unknown, linear/x² + y² = r² simultaneous equations
Statistics Construct and interpret histograms from class intervals with unequal width and From a histogram complete a grouped frequency table Geometry and measures know and apply the cosine rule a² = b² + c² – 2bc cos A to find unknown angles

 

Step 12

Topic: Lesson: Topic: Lesson:
Algebra Interpret the gradient of linear or non-linear graphs, and estimate the gradient of a quadratic or non-linear graph at a given point by sketching the tangent and finding its gradient Algebra Interpret coodinates for trigonometric graphs
Algebra Plot graphs of the exponential function y = abx for integer values of x and simple positive values of a and b Algebra Use iteration with simple converging sequences
Algebra Recursive Iteration Geometry and measures Solve problems involving more complex shapes and solids, including segments of circles and frustums of cones
Geometry and measures Find the area of a segment of a circle given the radius and length of the chord Geometry and measures Solve problems for areas and volumes of similar shapes and solids
Geometry and measures Use the trigonometric ratios to solve 3-D problems Geometry and measures Apply vector methods for simple geometrical proofs