# Maths Year 8 Learning Map

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When?Content DomainTopicRefLearning ObjectivesHegarty Clip
Half Term 1Number - Fractions & PercentagesPrime Factor Decomposition1-1Factors and multiples, square numbers, cube numbers, prime number, triangular27, 28, 33, 99,100, 261
1-2Write a number as a product of primes29, 30
1-3Find the highest common factor and lowest common multiple using the prime factorisation32, 35, 36
1-4Find squares, square roots, cubes and cube roots using prime factorisation101
1-5Use indices to record repeated multiplication102
1-6Calculate with the use of a calculator, including squares, cubes, square roots and cube roots129
Number - Fractions & PercentagesEquivalent Fractions2-1Explore multiple representations of fractions including using area diagrams, bar models and number lines57, 58
2-2Recognise and name equivalent fractions59
2-3Convert fractions to decimals73, 74
2-4Convert terminating decimals to fractions in their simplest form52
2-5Convert between mixed numbers and improper fractions63, 64
2-6Compare and order numbers (including like and unlike fractions)60, 46
2-7Convert simple fractions and decimals to percentages75, 76
2-8Express one quantity as a fraction of another62
Number - Fractions & PercentagesAll operations acting on fractions3-1Find a fraction of a set of objects or quantity77
3-2Find the whole given a fractional part79
3-3Multiply fractions by a whole number or fraction67 - 69
3-4Divide fractions by a whole number or fraction70 - 72
3-5Solve word problems involving multiplication of a fraction by a whole number or fraction using models and equations to represent the problem80
3-6Add and subtract fractions with like and unlike denominators65, 66
3-7Add and subtract fractions mixed numbers and improper fractions66
3-9Multiply & divide with decimals48 - 50
Number - Fractions & PercentagesPercentages4-1Understand percentages as a ratio of two quantities where one quantity is standardised to 100
4-2Understand percentages as a fractional operator with a denominator of 10082
4-3Interpret a percentage as a decimal83
4-4Express a quantity as a percentage of another75, 76
4-5Compare two quantities using percentages
4-6Find a percentage of an amount with and without a calculator84 - 87
4-7Increase and decrease a quantity by a given percentage88 - 90
4-8Find a quantity given a percentage of it96
Half Term 2Algebra - Equations & Inequalities Sequences5-1Generating terms of a linear sequences196
5-2Generating terms of a non-linear sequences247
5-3Identifying different types of linear and non-linear sequences261, 263, 264
5-4Finding a given term in a linear sequence196
5-5Developing a rule for finding a term in a linear sequence197
5-6Generalising the position to term rule for a linear
sequence (nth term)
198
Algebra - Equations & Inequalities Forming & Solving Equations6-1Classifying expressions, equations, inequalities and identities154
6-2Deriving equations from different contexts153
6-3Solving linear equations with an unknown on one side178
6-4Solving linear equations with an unknown on both sides184
6-5Solving equations involving fractional terms and brackets180, 181
6-6Interpreting the solution to an equation based on the context from which it is derived
Algebra - Equations & Inequalities Forming & Solving Inequalities7-1Interpreting relationships expressed as inequalities
7-2Deriving inequalities from contexts
7-3Forming and solving inequalities with unknown on one side269
7-4Forming and solving inequalities with an unknown on both sides269
7-5Representing a solution on a number line265, 266
Half Term 3Geometry - Graphical RpresentationTransforming 2D figures8-1Reflection of an object in a mirror line
8-2Identify horizontal and vertical mirror lines and their equations639
8-3Rotation of an object using the centre of rotation648, 649
8-4Translating shapes by a given number of units (positive or negative) in the and directions637, 638
8-5Combining transformations and which combinations can be expressed as a single transformation656, 657
8-6Simple enlargements with positive scale factors642, 643
8-7Recognise which transformations produce congruent shapes680
8-8Exploring the ratios of sides lengths within and between shapes produced by an object being enlarged by a given scale factor608, 609
Algebra - Graphical RpresentationLinear Graphs9-1Identify the equations of horizontal and vertical lines205
9-2Plot coordinates from a rule to generate a straight line206
9-3Develop a rule into an algebraic representation205
9-4Develop concept of gradient using graphs of the form y = ax before moving to equations of the form y = ax + b 201 - 204
9-5Identify key features of a linear graph including the y-intercept and the gradient207
9-6Make links between the graphical and the algebraic representation of a linear graph207
9-7Recognise different algebraic representations of a linear graph210
9-8Identify parallel lines from algebraic representations214
Half Term 4Ratio & ProportionRatio 10-1Understand the concept of ratio and use ratio language and notation328
10-2Connect ratio with understanding of fractions330
10-3Recognise and construct equivalent ratios including writing ratios in their simplest form329
10-4Construct tables of values and use graphs as a representation for a given ratio
10-5Compare ratios by finding a common total value
10-6Solve ratio and proportion problems in a variety of contexts332 - 335
Ratio & ProportionRatio, Real life Graphs & Rates of Change11-1Use ratio notation to describe a multiplicative relationship between two quantities
11-2Solve problems involving ratios
11-3Explore ratios in different contexts including speed and other rates of change716 - 719, 721
11-4Contrast ratio relationships involving discrete and continuous measures
11-5Use speed and other rates of change to draw and interpret graphical representations896
11-6Explore density and concentration as other contexts for proportional relationships725, 728, 729
Ratio & ProportionDirect & Indirect proportion12-1Explore contexts involving proportional relationships739, 740, 864
12-2Represent proportional relationships using tables and graphs339
12-3Represent proportional relationships algebraically343
12-4Understanding about graphs of proportional relationships
12-5Solve proportion problems
12-6Meaning and properties of inverse proportional relationships342
12-7Investigate constant area as a context for indirect proportion
12-8Represent inverse proportion relationships algebraically346
Half Term 5DataUnivariate Data - Averages13-1Find the mean, median mode and range from raw datasets404, 405, 409, 410
13-2Use the mean, median and mode to compare data sets
13-3Use an average plus the range to compare datasets
13-4Find the mode, median and mean from tables and graphical representations (not grouped)417
13-5Explore methods of data collection including surveys, questionnaires and the use of secondary data394, 399
13-6Appreciate the difference between discrete and continuous data393
13-7Classify and tabulate data401, 402
13-8Conduct statistical investigations using collected data
DataBivariate Data - Scattergraphs14-1Construct scatter graphs453
14-2Examine clusters and outliers
14-3Analyse the shape, strength and direction to make conjectures for possible bivariate relationships
14-4Using range, mean, median and mode to investigate the characteristics of data and to compare to sets of data
14-5Use a scatter graph to plot a line of best fit454
14-6Use a line of best fit to interpolate and extrapolate inferences
Half Term 6Number - Rounding and EstimationAccuracy & Estimation15-1Round off a number to a required number of decimal places56
15-2Round off a number to a required number of significant figures130
15-3Estimate the answer to a given problem131
15-4Truncate a decimal number.134
15-5Identify rounding and truncation errors774 - 777
Area, Volume & Surface AreaCircles & composite Shapes16-1Explore relationship between circumference and diameter/radius534535
16-2Formula for circumference534535
16-3Explore relationship between area and radius539, 540
16-4Formula for area of a circle539, 540
16-5Area and circumference of a semi-circle and other sectors536, 541
16-6Area and perimeter of composite shapes involving sectors of circles536, 541
Area, Volume & Surface AreaVolume & Surface Area of Prisms17-1Naming prisms, nets of prisms and using language associated with 3-D shapes829 - 836
17-2Finding the volume and surface area of cuboids568,569, 584
17-3Finding the volume and surface area of other prisms including cylinders571 - 574, 585, 586
17-4Finding the volume and surface area of composite solids
17-5Solving equations and rearranging formulae
17-6Convert between different units of area and volume702, 703