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When? | Content Domain | Topic | Ref | Learning Objectives | Hegarty Clip |
---|---|---|---|---|---|

Half Term 1 | Number | Numbers and Numerals | 1-1 | Understand the value of different place value columns (1, 10, 100….) | 13 |

1-2 | Understand the multiplicative relationships between different columns i | 13, 15, 16 | |||

1-3 | Recognise and name nine- and ten-digit numbers in base 10 | 13 | |||

1-4 | Understand quantities of time and time of day | ||||

1-5 | Be aware of different numerical systems and their representation | ||||

Number | Axioms and Arrays | 2-1 | Use arrays and area models to understand commutativity | 4, 7 | |

2-2 | Use arrays and area models to understand associativity and distributivity | 8, 12 | |||

2-3 | Use commutativity, associativity and distributivity to solve calculations | 6, 7, 8, 12 | |||

2-4 | Develop number sense and efficient calculation strategies | ||||

Number | Factors and Multiples | 3-1 | Understand factors and multiples | 27, 33 | |

3-2 | Recognise and define prime numbers | 28 | |||

3-3 | Recognise and define square and cube numbers | 99, 100, 101 | |||

3-4 | Find common factors and common multiples | 31, 34 | |||

3-5 | Express an integer as a product of its factors (e.g. 3 x 4 = 20) | ||||

3-6 | Make generalised statements e.g.: The common multiples of 5 and 4 are always multiples of 20 | ||||

3-7 | Solve problems involving factors and multiples | 36 | |||

Number | Order of Operations | 4-1 | Understand the equal priority of some operations in written calculations | 24 | |

4-2 | Understand that operations of equal priority can be evaluated in any order | 24 | |||

4-3 | Interpret the order of operations from written calculations | 24 | |||

4-4 | Form written calculations, function machines and worded descriptions correctly using the order of operations | 24 | |||

4-5 | Form and identify equivalent calculations based on distributivity, commutativity and the order of operations | 135, 136 | |||

4-6 | Form and interpret expressions involving variables correctly using the correct order of operations | 151 | |||

Half Term 2 | Number | Positive and Negative Numbers | 5-1 | Interpret negative numbers in a variety of contexts | |

5-2 | Compare and order positive and negative numbers | 37, 38 | |||

5-3 | Understand the meaning of absolute value | ||||

5-4 | Calculate using addition and subtraction with positive and negative values | 39, 40, 41 | |||

5-5 | Calculate using multiplication and division with positive and negative values | 42, 43, 44 | |||

5-6 | Form expressions involving negative numbers | 152 | |||

5-7 | Use number lines to model calculations with negative numbers | ||||

5-8 | Explore scaling with negative multipliers | 42 | |||

Algebra | Introducing sequences, expressions and equations | 6-1 | Understand of algebraic notation | 154 | |

6-2 | Collect like terms to simplify expressions e.g. 3 + 2 = (3 + 2) = 5 | 156, 157 | |||

6-3 | Substitute numbers into expressions and evaluate | 780, 781, 782, 784 | |||

6-4 | Use distribution to identify equivalent expressions involving a single bracket e.g. 3(x+ 1) = 3x + 3 | 160, 161 | |||

6-5 | Develop understanding of the equality and inequality signs | 265, 267 | |||

6-6 | Use two equations or inequalities to form another r e.g. if = and = then = , + 1 > , 2 + = 3 etc. | ||||

6-7 | Use different contexts to construct expressions, equations and inequalities | ||||

6-8 | Represent algebraic expressions using a variety of models | ||||

Half Term 3 | Geometry | Angles | 7-1 | Draw and measure acute and obtuse angles | 455, 461, 477, 478, 479 |

7-2 | Estimate the size of a given angle | 457 | |||

7-3 | Know and use angle facts: angles at a point, angles at a point on a straight line, vertically opposite angles. | 477, 479, 480 | |||

7-4 | Define parallel and perpendicular lines | 821 | |||

7-5 | Use angle facts around corresponding, alternate and co-interior angles to find missing angles | 481, 482, 483 | |||

7-6 | Find unknown angles including where algebraic expressions needed | 478, 813, 814 | |||

Geometry | Classifying 2D shapes | 8-1 | Identify and define polygons | 822 | |

8-2 | Classifying polygons by symmetry, regularity, intersection of diagonals, number of parallel sides | 830 | |||

8-3 | Classify triangles according to properties (angles, regularity, symmetry) | 823 | |||

8-4 | Classify quadrilaterals according to properties (angles, regularity, symmetry) | 824, 825, 826 | |||

8-5 | Know and use the angle sum of triangles, including special triangles | 484, 485, 486 | |||

8-6 | Know and use the angle sum of quadrilaterals, including special quadrilaterals | 560 | |||

8-7 | Form and solve equations from properties of triangles and quadrilaterals | 487 | |||

Geometry | Constructing triangles and quadrilaterals | 9-1 | Construct triangles and quadrilaterals for given conditions | 683 | |

9-2 | Explore the minimum conditions for constructing triangles | 683 | |||

9-3 | Recognise when two triangles are congruent | 680, 681,682 | |||

9-4 | Explore the minimum conditions for defining two congruent quadrilaterals | ||||

Half Term 4 | Algebra | Co-ordinates | 10-1 | Reading and writing coordinates in all four quadrants, including non-integer coordinates | 199 |

10-2 | Solving geometric problems involving missing co-ordinates | 199 | |||

10-3 | Finding the mid-point of a line segment or two points | 200 | |||

10-4 | Recognise and plot horizontal and vertical lines on a coordinate axis | 205 | |||

Geometry | Area of 2-D shapes | 11-1 | Finding the area of rectangles | 554, 555 | |

11-2 | Finding the area of other quadrilaterals including special quadrilaterals | 560, 556, 559 | |||

11-3 | Finding the area of triangles | 557, 558 | |||

11-4 | Rearrange formulae to make a different subject | 280, 281 | |||

Geometry | Transforming 2-D figures | 12-1 | Reflection of an object in a mirror line | ||

12-2 | Identify horizontal and vertical mirror lines and their equations | 639 | |||

12-3 | Rotation of an object using the centre of rotation | 648, 649 | |||

12-4 | Translating shapes by a given number of units (positive or negative) | 637, 638 | |||

12-5 | Combining transformations and expressing as a single transformation | 656, 657 | |||

12-6 | Simple enlargements with positive scale factors | 642, 643 | |||

12-7 | Recognise which transformations produce congruent shapes | ||||

12-8 | Exploring the ratios of sides produced by an object being enlarged by a given scale factor | 608, 609 | |||

Half Term 5 | Number | Prime factor decomposition | 13-1 | Factors and multiples, square numbers, cube numbers, prime number, triangular | 27, 28, 33, 99,100 |

13-2 | Write a number as a product of primes | 29, 30 | |||

13-3 | Find the highest common factor and lowest common multiple using the prime factorisation | 32 | |||

13-4 | Find squares, square roots, cubes and cube roots using prime factorisation | ||||

13-5 | Use indices to record repeated multiplication | 102 | |||

13-6 | Use a calculator, including squares, cubes, square roots and cube roots | 129 | |||

Number | Equivalent fractions | 14-1 | Explore multiple representations of fractions including area diagrams, bar models and number lines | 57, 58 | |

14-2 | Recognise and name equivalent fractions | 59 | |||

14-3 | Convert fractions to decimals | 73, 74 | |||

14-4 | Convert terminating decimals to fractions in their simplest form | 52 | |||

14-5 | Convert between mixed numbers and improper fractions | 63, 64 | |||

14-6 | Compare and order numbers (including like and unlike fractions) | 60 | |||

14-7 | Convert simple fractions and decimals to percentages | 75, 76 | |||

14-8 | Express one quantity as a fraction of another | 62 | |||

Number | All operations acting on fractions | 15-1 | Find a fraction of a set of objects or quantity | 77 | |

15-2 | Find the whole given a fractional part | 79 | |||

15-3 | Multiply and divide fractions by a whole number or fraction | 67, 68, 69 | |||

15-4 | Multiply and divide fractions by a whole number or fraction | 70, 71, 72 | |||

15-5 | Solve word problems involving multiplying fractions | 80 | |||

15-6 | Add and subtract fractions with like and unlike denominators | 65, 66 | |||

15-7 | Add and subtract fractions mixed numbers and improper fractions | 66 | |||

15-8 | Add and subtract with decimals | 47 | |||

15-9 | Multiply with decimals | 48 | |||

15-10 | Divide with decimas including | 49, 50 | |||

Half Term 6 | Ratio and proportion | Ratio | 16-1 | Understand ratio and use correct language and notation | 328 |

16-2 | Connect ratio with understanding of fractions | 330 | |||

16-3 | Recognise equivalent ratios including simplifying ratios | 329 | |||

16-4 | Construct tables of values and graphs for a given ratio | ||||

16-5 | Compare ratios by finding a common total value | ||||

16-6 | Solve ratio and proportion problems | 332, 333, 334, 335 | |||

Number | Percentage | 17-1 | Understand percentages as a ratio out of 100 | ||

17-2 | Understand percentages as fractions with a denominator of 100 | 82 | |||

17-3 | Interpret a percentage as a decimal | 83 | |||

17-4 | Express a quantity as a percentage of another | 75 | |||

17-5 | Compare two quantities using percentages | ||||

17-6 | Find a percentage of an amount with and without a calculator | 84, 85, 86, 87 | |||

17-7 | Increase and decrease a quantity by a given percentage | 90 | |||

17-8 | Find a quantity given a percentage of it | 96 |