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Year 7
Extension
Mathematics
Learning Diary
KS3 target grade:
Test
7E1
7E2
7E3
7E4
7E5
7E6
7E7
7E8
Current Ach
effort
level level
My Teacher Says:
Learning Objectives
Displaying data
7E1
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 Order integers and decimals (4/6)
 Round positive numbers to any given power of 10; (4)
 Round decimals to the nearest whole number or to 1 or 2 decimal places (5)
 Make and justify estimates and approximations of calculations (6)
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Effort:
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Construct frequency tables with equal class intervals (4)
Construct two-way tables for recording discrete data (4)
Construct frequency diagrams for discrete and continuous data (4)
Construct simple line graphs for time series (4)
Construct stem-and-leaf diagrams (5)
Construct simple scatter graphs (6)
Construct pie charts (6)
Interpret tables, graphs & diagrams for discrete and continuous data, (5)
relating summary statistics & findings to the questions being explored (6)
Angles
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Measure & draw angles, including reflex angles, to nearest degree (5)
Know and use the sum of angles at a point and on a straight line (5)
Identify alternate angles and corresponding angles (6)
Understand a proof that the angle sum of a triangle is 180° (6)
Understand a proof that the angle sum of a quadrilateral is 360°(6)
Understand a proof that the exterior angle of a triangle is equal to the sum
of the two interior opposite angles (6)
Decimal notation
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Learning Objectives
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Coordinates
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Use conventions & notation for 2D coordinates in all four quadrants(5)
Find coordinates of points determined by geometric information (5)
Find the midpoint of the line segment AB, given coordinates of points A
and B (6)
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Symmetry
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Find line symmetry in 2-D shapes on paper and using ICT (4)
Find planes of symmetry in 3D shapes (5)
Find the order of rotational symmetry in 2D shapes (5)
Fractions, decimals and percentages
 Order fractions by writing them with a common denominator or by
converting them to decimals (6)
 Calculate fractions of quantities (5)
 Express one given number as a percentage of another (6)
 Calculate percentages (6)
 Find the outcome of a given percentage increase or decrease (6)
 Use the equivalence of fractions, decimals and percentages to compare
proportions (6)
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7E2
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Effort:
Learning Objectives
Number operations
7E3
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 Classify quadrilaterals by their geometrical properties (6)
 Solve geometrical problems using side and angle properties of equilateral,
isosceles and right-angled triangles & special quadrilaterals, explaining
reasoning with diagrams & text (6)
 Know that if two 2-D shapes are congruent, corresponding sides and angles
are equal (6/8)
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%:
Effort:
 Know the meanings of the words formula and function(5)
 Express simple functions algebraically (5)
 Represent simple functions in mappings or on a spreadsheet (6)
Number properties
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Find and use multiples, factors, and primes (4/5)
Find common factors, highest common factors, lowest common multiples (5)
Find the prime factor decomposition of a number (6)
Use squares, positive/negative square roots, cubes and cube roots (6)
Use index notation for small positive integer powers (7)
2D shape
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Learning Objectives
Operations in algebra
7E4
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 Calculate statistics for sets of discrete data, including with a calculator and
spreadsheet (4/5)
 Calculate statistics for sets of continuous data, including with a calculator
and spreadsheet (7)
 Recognise when it is appropriate to use the range, mean, median and mode
and, for grouped data, the modal class (6)
 Compare two distributions using the range & one or more of the mode, median
and mean (6)
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Effort:
 Understand and use the rules of arithmetic and inverse operations (5)
 Use the order of operations, including brackets, with more complex
calculations (such as in the context of integers and fractions) (6)
 Understand that algebraic operations, including the use of brackets follow
the rules of arithmetic (6)
Measurements and scale
 Choose and use units of measurement to measure, estimate, calculate and
solve problems in a range of contexts (4/5)
 Know rough metric equivalents of imperial measures in common use (6)
 Read and interpret scales on a range of measuring instruments (5/6)
 Make scale drawings (6)
Averages
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Learning Objectives
Negative numbers
7E5
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 Simplify or transform linear expressions by collecting like terms (5)
 Multiply a single term over a bracket (6)
 Construct and solve linear equations with integer coefficients (unknown on
either or both sides) (6)
 Construct & solve linear equations with integer coefficients with brackets(7)
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%:
Effort:
 Order integers in context (5)
 Add and subtract integers in context (5)
 Multiple and divide integers in context (5)
3D shape
 Visualise 3-D shapes from their nets (4)
 Use geometric properties of cuboids and shapes made from cuboids(6)
 Use simple plans & elevations (6)
 Use ruler and protractor to construct simple nets of 3-D shapes (L4 for
cuboid/L6 for rest)
Solving equations
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Learning Objectives
7E6
Decimal calculations
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 Generate terms of a linear sequence using term-to-term rules (6)
 Generate terms of a linear sequence using position-to-term rules (6)
 Use linear expressions to describe the nth term of a simple arithmetic
sequence, justifying its form by referring to the activity or practical context
from which it was generated (6)
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%:
Effort:
 Use efficient written methods to add and subtract integers and decimals of
any size, including numbers with differing numbers of decimal places (4)
 Read and write positive integer powers of 10 (6)
 Multiply and divide integers & decimals by 0.1, 0.01etc (6)
 Use efficient written methods for multiplication and division of integers and
decimals(L5) including by decimals such as 0.06 (L7)
Graphs
 Generate points in all four quadrants (5)
 Plot the graphs of linear functions, where y is given explicitly in terms of x,
on paper & using ICT (6)
 Recognise that equations of the form y=mx+c correspond to straight-line
graphs (6)
 Construct linear functions arising from real-life problems & plot their
corresponding graphs (6)
 Discuss and interpret graphs arising from real situations, e.g. distance–time
graphs (6/7)
Sequences
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Learning Objectives
Area and volume
7E7
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 Find and justify probabilities based on equally likely outcomes in simple
contexts (5)
 Know that if the probability of an event occurring is p, then the probability
of it not occurring is 1 − p (5)
 Use diagrams and tables to record in a systematic way all possible mutually
exclusive outcomes for single events & for two successive events (6)
 Compare estimated experimental with theoretical probabilities (7)
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Effort:
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Derive and use formulae for the area of a triangle (6)
Derive and use formulae for the area of a parallelogram (6)
Derive and use formulae for the area of a trapezium (7)
Calculate areas of compound shapes (6/7)
Know and use the formula for the volume of a cuboid (7)
Calculate volumes and surface areas of cuboids and shapes made from
cuboids (7)
Fractions and ratio
 Add and subtract fractions by writing them with a common denominator (6)
 Multiply and divide an integer by a fraction (6)
 Simplify ratios, including those expressed in different units; recognising links
with fraction notation (5)
 Divide a quantity into two or more parts in a given ratio (5)
 Use the unitary method to solve simple problems involving ratio and direct
proportion (6)
Probabilities
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Learning Objectives
7E8
Transformations
 Transform 2-D shapes by rotation and reflection on paper & using ICT (4/5)
 Transform 2-D shapes by translation, on paper and using ICT (6)
 Try out mathematical representations of simple combinations of these
transformations (6/7)
 Understand and use the language & notation associated with enlargement (6)
 Enlarge 2-D shapes, given a centre of enlargement and a positive integer
scale factor; explore enlargement using ICT (6)
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Formulae
 Use formulae from mathematics and other subjects (6)
 Substitute integers into simple formulae, including examples that lead to an
equation to solve (5)
 Substitute positive integers into expressions involving small powers, e.g. 3x2
3
+4 or 2x ; derive simple formulae (6)
Constructions
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Use straight edge and compasses to construct:
The midpoint and perpendicular bisector of a line segment (6)
The bisector of an angle (6)
The perpendicular from a point to a line (6)
The perpendicular from a point on a line (6)
A triangle, given three sides (SSS) (6)
Find simple loci, both by reasoning & by using ICT, to produce shapes and
paths, e.g. an equilateral triangle (6/7)
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Ach
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Effort:
Year 7 exam
Paper 1 (non calculator)
Paper 2 (calculator)
Mental
Exam total
Exam
Ach
level
level
my view of my exam performance:
My strengths are:
I need to improve:
Target
grade
Effort