Year 7
Extension Mathematics
Learning Diary
Test / Current level / Achlevel / effort / My Teacher Says:
7E1
7E2
7E3
7E4
7E5
7E6
7E7
7E8
Learning Objectives / 7E1
Displaying data
- Constructfrequency 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
- 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
- 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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Learning Objectives / 7E2
- Coordinates
- 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)
- Symmetry
- 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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Learning Objectives / 7E3
Number operations
- 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
- 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
- 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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Learning Objectives / 7E4
Operations in algebra
- 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
- 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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Learning Objectives / 7E5
Negative numbers
- 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
- 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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Learning Objectives / 7E6
Decimal calculations
- 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
- 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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Learning Objectives / 7E7
Area and volume
- 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
- 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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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; exploreenlargement using ICT (6)
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 +4 or 2x3; derive simple formulae(6)
Constructions
- 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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Year 7 exam
Paper 1 (non calculator) / Paper 2 (calculator) / Mental
Exam total
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my view of my exam performance:
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