Mathematics Department Scheme of Work 2014 on
Level 3-4 Scheme of work
The scheme of work shows the objectives covered in Level 3–4 Level Up Maths.
Unit 1 (Number / Algebra 1) – Getting things in order
o Add several numbers L3
o Add and subtract mentally pairs of 2-digit numbers L3
o Find a difference by counting up through the next multiple of 10, 100 or 1000
L3
o Calculate a temperature rise and fall across 0°C L3
o Develop effective calculator skills L3
o Understand negative numbers as positions on a number line; order, add and
subtract positive and negative integers in context L4
o Generate and describe simple integer sequences L4
o Extend and describe sequences with decimals L4
o Generate sequences from practical contexts L4
Copyright © 2014 John Kyrle High School
Unit 2 (Geometry and measures 1) – Get in line
o Measure and draw lines to the nearest millimetre L3/4
o Record estimates and readings from scales to a suitable degree of accuracy
L3
o Use correct notation for labelling lines andangles L4
o Identify parallel and perpendicular lines L4
o Distinguish between acute, obtuse and reflex angles L4
o Know the sum of angles on a straight line and around a point L4
o Use correct notation for labelling triangles L4
o Solve simple geometrical problems using properties of triangles L4
o Begin to estimate the size of angles L4
o Use a protractor to measure and draw angles to the nearest degree L4
o Classify triangles using properties of sides and angles L3
o Recognise properties of squares and rectangles L3
o Recognise and name quadrilaterals L4
Mathematics Department Scheme of Work 2014 on
Unit 3 (Statistics 1) – Definitely maybe
o Use vocabulary and ideas of probability, drawing on experience L3
o Understand and use the probability scale from 0 to 1; find and justify
probabilities based on equally likely outcomes in simple contexts L4/4+
o Collect data from an experiment and record in a frequency table; estimate
probabilities based on this data L4
o Construct graphs and diagrams, including bar line graphs, on paper and
using ICT, to represent data L4
o Solve problems by extracting and interpreting data in tables, graphs, charts
and diagrams, for example, line graphs, frequency tables and bar charts
L3/4
Unit 4 (Number 2) – Look the part
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Read and write whole numbers in figures and words L3
Use doubling and halving L3
Relate fractions to division L3
Find simple fractions of whole numberquantities L3
Recognise when two simple fractions are equivalent, including relating
hundredths to tenths L3
Understand and use decimal notation and place value; multiply and divide
integers by 10, 100, 1000 and explain the effect L4
Consolidate the rapid recall of number facts, including positive integer
complements to 100 and multiplication facts to 10 × 10, and quickly derive
associated division facts L4
Use fraction notation to describe parts of shapes L4
Identify equivalent fractions L4
Change an improper fraction to a mixed number L4
Compare and order decimals in different contexts L4
Understand percentage as ‘the number of parts per 100’, recognise the
equivalence of percentages, fractions and decimals; calculate simple
percentages L4
Copyright © 2014 John Kyrle High School
Unit 5 (Algebra 2) – Function frenzy
o Understand and use relationships between the four operations L3
o Apply the principles of the commutative and distributive laws with numbers
L3
o Apply the principles of associativity with numbers L3
o Use brackets (with numbers) in calculations L3
o Understand and use conventions for arithmetic operations with numbers
L4
o Use formulae, substitute positive integers into linear expressions and
formulae and derive simple formulae L4
o Simplify linear algebraic expressions by collecting like terms L4
o Generate and describe integer sequences L4
o Generate terms of a sequence, given a rule L4
Unit 6 (Geometry and measures 2) – Measure up
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Measure lines to the nearest millimetre L3
Read and interpret scales on a range of measuring instruments L4
Choose suitable metric units to estimate length L4
Solve problems involving time L4
Convert between simple metric units L4
Understand and measure perimeters of rectangles and regular polygons L3
Find the perimeter of a square/rectangle by counting L3
Calculate perimeters of rectangles and regular polygons L3/4
Find the measurement of a side given the perimeter of squares and
rectangles L4
Draw circles using compasses L3
Understand the vocabulary associated with a circle L4
Estimate area by counting squares L4
Choose suitable metric units to estimate area L4
Use the word formula for the area of a rectangle L4
Mathematics Department Scheme of Work 2014 on
Unit 7 (Algebra 3) – Into the unknown
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Recognise number sequences L3
Interpret coordinates in a simple table L3
Add three or more multiples of 10 L3
Find outputs of simple function machines in words and symbols L4
Express simple functions in words, then using symbols L4
Generate coordinate pairs L4
Plot coordinates in the first quadrant L4
Plot graphs of simple linear functions L4
Substitute positive integers into simple formulae L4
Unit 8 (Number 3) – Clever calculations
o Round positive whole numbers to the nearest 10, 100 or 1000 (L4)
o Round decimals to the nearest whole number and to one decimal place ( L4)
o Consolidate the rapid recall of addition and subtraction and positive integer
complements to 100 L4
o Add and subtract mentally pairs of 2-digit numbers L3
o Use standard column procedures to add and subtract whole numbers and
decimals with up to two places L4
o Multiply and divide integers by 10 and 100 and explain the effect L4
o Approximate before carrying out an addition or subtraction L4
o Partition to multiply mentally TU × U L3
o Extend written methods to HTU × U and HTU ÷ U L4
o Use inverse functions of multiplication and division L4
o Develop effective calculator skills L3/4
o Enter numbers and interpret the display on a calculator in different contexts
L4
Copyright © 2014 John Kyrle High School
Unit 9 (Geometry and measures 3) – Tons of
transformations
o Classify triangles using lines of symmetry L3
o Recognise and visualise the symmetry of a 2-D shape L4
o Identify properties of triangles, including side lengths, angle sizes and
symmetry L4
o Understand the term congruent L4
o Recognise and visualise where a shape will be after a translation, rotation
and / or reflection L3/4
o Understand and use the language associated with reflection, translation and
rotation L4
o Solve simple geometrical problems using properties of triangles L4
o Solve simple problems involving transformations L4
Unit 10 (Algebra 4) – Under construction
o Understand and use the relationship between the four operations L3
o Apply the principles of the commutative and distributive laws with numbers
L3
o Solve simple equations using inverse relationships between operations L4
o Understand and apply the order of operations in simple calculations (first
no brackets, then brackets) L3
o Carry out calculations on a calculator with more than one step using
brackets or memory L4
o Know the first 10 square and triangular numbers L4
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o Use the x button on a calculator to square numbers L4
o Generate and describe simple integer sequences – square and triangular
numbers L4
o Work out missing numbers in sequences of decimals L4
o Generate terms of simple sequences L4
o Use trial and improvement to solve number puzzles L4
Mathematics Department Scheme of Work 2014 on
Unit 11 (Statistics 2) – Dealing with data
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Collect primary data L4
Design a data collection sheet L4
Discuss when and how to collect secondary data L4
Find the mode, range and median of a small set of data L4
Begin to find the mean of a set of data L4
Extract data and interpret pictograms using a key, discrete bar charts and
line graphs L3/4
o Interpret dual bar charts and simple pie charts L4
Unit 12 (Number 4) – Number know-how
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Revise standard written methods of multiplication and division L4
Interpret the display of a calculator in different contexts L4
Recognise the equivalence of percentages, fractions and decimals L4
Find fractions of numbers and amounts L4
Check work on fractions using a calculator L4
Revise understanding of percentages L4
Find percentages of amounts L4
Solve simple problems using ratio and proportion L4
Copyright © 2014 John Kyrle High School
Unit 13 (Algebra 5) – The plot thickens
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Read and plot x and y coordinates in the first quadrant L4
Plot a graph from a table of values L4
Find outputs of simple and complex functions L4
Read and interpret information from a real-life graph L4
Recognise and use multiples and factors and use simple tests of divisibility
L4
Identify factors of 2-digit numbers L3
Understand the difference between factors, multiples and prime numbers
L4
Use common factor and common multiple L4
Use informal idea of trial and improvement L4
Solve simple number puzzles L4
Work out missing numbers in sequences L4
Generate terms of sequences using the term-to-term rule given as a ‘word
formula’ L4
Substitute integers into simple word formulae L4
Collect like terms L4
Mathematics Department Scheme of Work 2014 on
Unit 14 (Solving problems) – Putting things in proportion
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Solve problems involving shape, space and measures, including money L3/4
Use coordinates in first quadrant L4
Choose the appropriate number operation to solve a problem L3/4
Decide the appropriate way of calculating to solve a problem (mentally,
using paper and pencil, calculator) L3/4
Check answers are sensible L3/4
Select suitable measuring equipment for a task L3
Find and use the median and mode of sets of data L4
Use a calculator to solve problems L4
Solve problems involving algebraic thinking L3/4
Check solutions using the inverse operations L3/4
Solve problems involving fractions, decimals, percentages, ratio and
proportion L4
Solve problems and puzzles using mathematics, making appropriate
decisions L3/4
Explain methods and reasoning L3/4
Use known mathematics to work out things not known L3/4
Copyright © 2014 John Kyrle High School
Unit 15 (Geometry and measures 4) – Back to the
drawing board
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Name 3-D shapes L4
Identify faces, edges and vertices on 3-D shapes L4
Identify simple and complex nets of open and closed cubes L3/4
Identify and draw nets of simple 3-D shapes, including cuboids L4
Visualise 3-D shapes from 2-D drawings L3
Draw simple shapes on isometric, squared or plain paper L4
Solve one- and two-step problems involving numbers, money or measures,
choose and carry out appropriate calculations, using calculator methods
where appropriate L3
Use the formula length × width to calculate the area of a rectangle L4
Identify and use patterns, relationships and properties of numbers or shapes
L3
Read and plot coordinates in the first quadrant L4
Use the eight compass points to describe direction L3
Read, choose, use and record standard metric units to estimate and measure
length to a suitable degree of accuracy L3