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Mathematics Curriculum & Assessments Map - Year 8

 

Curriculum and Assessment Map     KS3        Year 8 Maths

Half Term  1

Half Term 2

Half Term 3

Half Term 4

Half Term 5

Half Term 6

Curriculum Coverage:

·         Indices

·         Negative Numbers

·         Prime Factorisation

·         Rounding

·         Fractions

·         Using a calculator

 

Curriculum Coverage:

· Rearrange formulae

· Linear equations

· Expressions and equations from real-world situations

· Geometric formulae

Curriculum Coverage:

· Accurate construction

· Units of measurement

· Angles

· Area of composite shapes

Curriculum Coverage:

· Proportional reasoning

· Fractions, decimals and reasoning.

· Ratio

· Compound measures

Curriculum Coverage:

· Circumference

· 3-D visualisation

· Volume

Curriculum Coverage:

· Two way tables

· Presenting and interpreting data

· Averages

Assessment 1

 

United Learning KPI written assessment 1a

 

Assessment 2

 

United Learning KPI written assessment 1b

 

Assessment 3

 

United Learning KPI written assessment 2a

 

Assessment 4

 

United Learning KPI written assessment 2b

 

Assessment 5

 

United Learning KPI written assessment 3a

 

Final Assessment

 

United Learning KPI written assessment 3c

 

Links to NC:

·         Understand how to use squares, cubes and roots

·         Write powers in index form

·         Recognise and generate square numbers

·         Appreciate the infinite nature of the sets of integers, real and rational numbers

·         Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥

·         Use the four operations, including formal written methods, applied to integers, both positive and negative

·         Understand the definition of prime factors

·         Find HCF and LCM using Venn Diagrams or Factor Trees

·         Round numbers to decimal places and to the nearest 10, 100, 1000 

·         Round very large and very small numbers to 1, 2 and 3 significant figures

·         Multiply and divide positive proper and improper fractions and mixed numbers

·         Efficiently use a calculator to solve multi-step calculations involving brackets, powers, decimals, fractions and negative numbers

·         Convert hours and minutes into decimal time

·         Understand how to raise a negative number to a given power on a calculator

·         Understand and avoid rounding errors

Links to NC:

· Simplify and manipulate algebraic expressions to maintain equivalence by:

· collecting like terms

· multiplying a single term over a bracket

· taking out common factors

· Use and write 2 stage formulae

· Rearrange formulae requiring factorisation

· Rearrange formulae with up to 4 steps

· Solve simple linear equations using the balancing method, including those with fractional solutions in the form ax+b=c and a(x+b)=c

· Solve linear equations with an unknown on both sides

· Construct simple linear equations from contextual problems

· Substitute numerical values into formulae and expressions, including scientific formulae

· Interpret mathematical relationships both algebraically and geometrically

· Use the formula for the area of a trapezium to work out the area or a missing length

· Use the formula for the area of a circle to work out the area or radius

· Use Pythagoras’ theorem

Links to NC:

· Draw and measure line segments and angles in geometric figures, including interpreting scale drawings

· Use a pair of compasses to construct triangles and polygons

· Enlarge a shape by a given scale factor

· Identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids

· Use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles

· Recall and use basic metric-imperial conversions

· Change freely between related standard units [for example time, length, area, volume/ capacity, mass]

· Convert between metric units of length, capacity and mass

· Convert between seconds and minutes & seconds

· Express minutes in hours & minutes (e.g. 70mins = 1hr10m) and as a decimal

· Convert between area units

· Find unknown angles involving parallel lines

· Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons

· Calculate the area of abstract composite shapes requiring Pythagoras and πr² and leave answers to a specified degree of accuracy including in terms of π

· Identify names of solids, including prisms and pyramids

· Calculate the surface area of solids from nets

Links to NC:

· Understand the difference between additive and multiplicative ways of thinking

· Apply knowledge of how to keep things in proportion to solve problems relating to:

· Side lengths of similar shapes and scale drawings

· Recipes

· Price comparison

· Compare simple proportions

· Increase and decrease amounts by simple percentages (ones that do not require a calculator)

· Convert fractions and percentages (using a calculator) into decimal multipliers to solve increase and decrease problems

· Use ratio notation, including reduction to simplest form

· Divide a quantity into a given ratio

· Solve simple problems involving ratio

· Understand the difference between ratio and proportion

· Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions

· Recall and use the formulae for speed, pressure and density

 

Links to NC:

· Name parts of a circle (chord, tangent, diameter, radius, arc, sector, segment)

· Calculate circumference of a circle giving answer to required degree of accuracy or to π

· Visualise and identify 3-D shapes and their nets

· Draw plans and elevations of simple 3-D shapes

· Plot 3-D coordinates

· Calculate the volume of cuboids, prisms, cylinders, pyramids, cones, spheres and composite solids

· Solve volume-density problems

· Convert between volume units

Links to NC:

· Solve questions involving two-way tables including:

· Completing parts of the table

· Extracting proportions and ratios from the table

· Draw bar charts, line graphs and pie charts to represent data

· Interpret bar charts, frequency tables, line graphs and pie charts

· Interpret grouped and ungrouped data

· Find the median, mode and range of discrete, ungrouped data

· Understand the concept of ‘central tendency’

· Draw conclusions about data based on average and range (including outliers)

· Use sensible averages to examine data

Links to Core Values:

 

Creativity through problem solving.

Links to Core Values:

 

Enthusiasm for trying new methods.

Links to Core Values:

 

Determination to overcome challenges.

Links to Core Values:

 

Respect through valuing others contributions.

Links to Core Values:

 

Ambition to deepen understanding.

Links to Core Values:

 

Confidence through assessment.