# Maths Year 7 Learning Map

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When?Content DomainTopicRefLearning ObjectivesHegarty Clip
Half Term 1NumberNumbers and Numerals1-1Understand the value of different place value columns (1, 10, 100….)13
1-2Understand the multiplicative relationships between different columns i13, 15, 16
1-3Recognise and name nine- and ten-digit numbers in base 1013
1-4Understand quantities of time and time of day
1-5Be aware of different numerical systems and their representation
NumberAxioms and Arrays2-1Use arrays and area models to understand commutativity 4, 7
2-2Use arrays and area models to understand associativity and distributivity8, 12
2-3Use commutativity, associativity and distributivity to solve calculations 6, 7, 8, 12
2-4Develop number sense and efficient calculation strategies
NumberFactors and Multiples3-1Understand factors and multiples27, 33
3-2Recognise and define prime numbers28
3-3Recognise and define square and cube numbers99, 100, 101
3-4Find common factors and common multiples31, 34
3-5Express an integer as a product of its factors (e.g. 3 x 4 = 20)
3-6Make generalised statements e.g.: The common multiples of 5 and 4 are always multiples of 20
3-7Solve problems involving factors and multiples 36
NumberOrder of Operations4-1Understand the equal priority of some operations in written calculations24
4-2Understand that operations of equal priority can be evaluated in any order24
4-3Interpret the order of operations from written calculations24
4-4Form written calculations, function machines and worded descriptions correctly using the order of operations24
4-5Form and identify equivalent calculations based on distributivity, commutativity and the order of operations135, 136
4-6Form and interpret expressions involving variables correctly using the correct order of operations151
Half Term 2NumberPositive and Negative Numbers5-1Interpret negative numbers in a variety of contexts
5-2Compare and order positive and negative numbers37, 38
5-3Understand the meaning of absolute value
5-4Calculate using addition and subtraction with positive and negative values39, 40, 41
5-5Calculate using multiplication and division with positive and negative values42, 43, 44
5-6Form expressions involving negative numbers152
5-7Use number lines to model calculations with negative numbers
5-8Explore scaling with negative multipliers42
AlgebraIntroducing sequences, expressions and equations6-1Understand of algebraic notation154
6-2Collect like terms to simplify expressions e.g. 3 + 2 = (3 + 2) = 5 156, 157
6-3Substitute numbers into expressions and evaluate780, 781, 782, 784
6-4Use distribution to identify equivalent expressions involving a single bracket e.g. 3(x+ 1) = 3x + 3 160, 161
6-5Develop understanding of the equality and inequality signs265, 267
6-6Use two equations or inequalities to form another r e.g. if = and = then = , + 1 > , 2 + = 3 etc.
6-7Use different contexts to construct expressions, equations and inequalities
6-8Represent algebraic expressions using a variety of models
Half Term 3GeometryAngles7-1Draw and measure acute and obtuse angles 455, 461, 477, 478, 479
7-2Estimate the size of a given angle457
7-3Know and use angle facts: angles at a point, angles at a point on a straight line, vertically opposite angles.477, 479, 480
7-4Define parallel and perpendicular lines821
7-5Use angle facts around corresponding, alternate and co-interior angles to find missing angles481, 482, 483
7-6Find unknown angles including where algebraic expressions needed478, 813, 814
GeometryClassifying 2D shapes8-1Identify and define polygons822
8-2Classifying polygons by symmetry, regularity, intersection of diagonals, number of parallel sides830
8-3Classify triangles according to properties (angles, regularity, symmetry)823
8-4Classify quadrilaterals according to properties (angles, regularity, symmetry)824, 825, 826
8-5Know and use the angle sum of triangles, including special triangles484, 485, 486
8-7Form and solve equations from properties of triangles and quadrilaterals487
9-2Explore the minimum conditions for constructing triangles683
9-3Recognise when two triangles are congruent680, 681,682
9-4Explore the minimum conditions for defining two congruent quadrilaterals
Half Term 4AlgebraCo-ordinates10-1Reading and writing coordinates in all four quadrants, including non-integer coordinates199
10-2Solving geometric problems involving missing co-ordinates199
10-3Finding the mid-point of a line segment or two points200
10-4Recognise and plot horizontal and vertical lines on a coordinate axis205
GeometryArea of 2-D shapes11-1Finding the area of rectangles554, 555
11-3Finding the area of triangles557, 558
11-4Rearrange formulae to make a different subject280, 281
GeometryTransforming 2-D figures12-1Reflection of an object in a mirror line
12-2Identify horizontal and vertical mirror lines and their equations639
12-3Rotation of an object using the centre of rotation648, 649
12-4Translating shapes by a given number of units (positive or negative)637, 638
12-5Combining transformations and expressing as a single transformation656, 657
12-6Simple enlargements with positive scale factors642, 643
12-7Recognise which transformations produce congruent shapes
12-8Exploring the ratios of sides produced by an object being enlarged by a given scale factor608, 609
Half Term 5NumberPrime factor decomposition13-1Factors and multiples, square numbers, cube numbers, prime number, triangular27, 28, 33, 99,100
13-2Write a number as a product of primes29, 30
13-3Find the highest common factor and lowest common multiple using the prime factorisation32
13-4Find squares, square roots, cubes and cube roots using prime factorisation
13-5Use indices to record repeated multiplication102
13-6Use a calculator, including squares, cubes, square roots and cube roots129
NumberEquivalent fractions14-1Explore multiple representations of fractions including area diagrams, bar models and number lines57, 58
14-2Recognise and name equivalent fractions59
14-3Convert fractions to decimals73, 74
14-4Convert terminating decimals to fractions in their simplest form52
14-5Convert between mixed numbers and improper fractions63, 64
14-6Compare and order numbers (including like and unlike fractions)60
14-7Convert simple fractions and decimals to percentages75, 76
14-8Express one quantity as a fraction of another62
NumberAll operations acting on fractions15-1Find a fraction of a set of objects or quantity77
15-2Find the whole given a fractional part79
15-3Multiply and divide fractions by a whole number or fraction67, 68, 69
15-4Multiply and divide fractions by a whole number or fraction70, 71, 72
15-5Solve word problems involving multiplying fractions80
15-6Add and subtract fractions with like and unlike denominators65, 66
15-7Add and subtract fractions mixed numbers and improper fractions66
15-9Multiply with decimals48
15-10Divide with decimas including49, 50
Half Term 6Ratio and proportionRatio16-1Understand ratio and use correct language and notation328
16-2Connect ratio with understanding of fractions330
16-3Recognise equivalent ratios including simplifying ratios329
16-4Construct tables of values and graphs for a given ratio
16-5Compare ratios by finding a common total value
16-6Solve ratio and proportion problems332, 333, 334, 335
NumberPercentage17-1Understand percentages as a ratio out of 100
17-2Understand percentages as fractions with a denominator of 10082
17-3Interpret a percentage as a decimal83
17-4Express a quantity as a percentage of another75
17-5Compare two quantities using percentages
17-6Find a percentage of an amount with and without a calculator84, 85, 86, 87
17-7Increase and decrease a quantity by a given percentage90
17-8Find a quantity given a percentage of it96