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

Half Term 1 | Number - Fractions & Percentages | Prime Factor Decomposition | 1-1 | Factors and multiples, square numbers, cube numbers, prime number, triangular | 27, 28, 33, 99,100, 261 | |

1-2 | Write a number as a product of primes | 29, 30 | ||||

1-3 | Find the highest common factor and lowest common multiple using the prime factorisation | 32, 35, 36 | ||||

1-4 | Find squares, square roots, cubes and cube roots using prime factorisation | 101 | ||||

1-5 | Use indices to record repeated multiplication | 102 | ||||

1-6 | Calculate with the use of a calculator, including squares, cubes, square roots and cube roots | 129 | ||||

Number - Fractions & Percentages | Equivalent Fractions | 2-1 | Explore multiple representations of fractions including using area diagrams, bar models and number lines | 57, 58 | ||

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

2-3 | Convert fractions to decimals | 73, 74 | ||||

2-4 | Convert terminating decimals to fractions in their simplest form | 52 | ||||

2-5 | Convert between mixed numbers and improper fractions | 63, 64 | ||||

2-6 | Compare and order numbers (including like and unlike fractions) | 60, 46 | ||||

2-7 | Convert simple fractions and decimals to percentages | 75, 76 | ||||

2-8 | Express one quantity as a fraction of another | 62 | ||||

Number - Fractions & Percentages | All operations acting on fractions | 3-1 | Find a fraction of a set of objects or quantity | 77 | ||

3-2 | Find the whole given a fractional part | 79 | ||||

3-3 | Multiply fractions by a whole number or fraction | 67 - 69 | ||||

3-4 | Divide fractions by a whole number or fraction | 70 - 72 | ||||

3-5 | Solve word problems involving multiplication of a fraction by a whole number or fraction using models and equations to represent the problem | 80 | ||||

3-6 | Add and subtract fractions with like and unlike denominators | 65, 66 | ||||

3-7 | Add and subtract fractions mixed numbers and improper fractions | 66 | ||||

3-8 | Add and subtract with decimals | 47 | ||||

3-9 | Multiply & divide with decimals | 48 - 50 | ||||

Number - Fractions & Percentages | Percentages | 4-1 | Understand percentages as a ratio of two quantities where one quantity is standardised to 100 | |||

4-2 | Understand percentages as a fractional operator with a denominator of 100 | 82 | ||||

4-3 | Interpret a percentage as a decimal | 83 | ||||

4-4 | Express a quantity as a percentage of another | 75, 76 | ||||

4-5 | Compare two quantities using percentages | |||||

4-6 | Find a percentage of an amount with and without a calculator | 84 - 87 | ||||

4-7 | Increase and decrease a quantity by a given percentage | 88 - 90 | ||||

4-8 | Find a quantity given a percentage of it | 96 | ||||

Half Term 2 | Algebra - Equations & Inequalities | Sequences | 5-1 | Generating terms of a linear sequences | 196 | |

5-2 | Generating terms of a non-linear sequences | 247 | ||||

5-3 | Identifying different types of linear and non-linear sequences | 261, 263, 264 | ||||

5-4 | Finding a given term in a linear sequence | 196 | ||||

5-5 | Developing a rule for finding a term in a linear sequence | 197 | ||||

5-6 | Generalising the position to term rule for a linear sequence (nth term) | 198 | ||||

Algebra - Equations & Inequalities | Forming & Solving Equations | 6-1 | Classifying expressions, equations, inequalities and identities | 154 | ||

6-2 | Deriving equations from different contexts | 153 | ||||

6-3 | Solving linear equations with an unknown on one side | 178 | ||||

6-4 | Solving linear equations with an unknown on both sides | 184 | ||||

6-5 | Solving equations involving fractional terms and brackets | 180, 181 | ||||

6-6 | Interpreting the solution to an equation based on the context from which it is derived | |||||

Algebra - Equations & Inequalities | Forming & Solving Inequalities | 7-1 | Interpreting relationships expressed as inequalities | |||

7-2 | Deriving inequalities from contexts | |||||

7-3 | Forming and solving inequalities with unknown on one side | 269 | ||||

7-4 | Forming and solving inequalities with an unknown on both sides | 269 | ||||

7-5 | Representing a solution on a number line | 265, 266 | ||||

Half Term 3 | Geometry - Graphical Rpresentation | Transforming 2D figures | 8-1 | Reflection of an object in a mirror line | ||

8-2 | Identify horizontal and vertical mirror lines and their equations | 639 | ||||

8-3 | Rotation of an object using the centre of rotation | 648, 649 | ||||

8-4 | Translating shapes by a given number of units (positive or negative) in the and directions | 637, 638 | ||||

8-5 | Combining transformations and which combinations can be expressed as a single transformation | 656, 657 | ||||

8-6 | Simple enlargements with positive scale factors | 642, 643 | ||||

8-7 | Recognise which transformations produce congruent shapes | 680 | ||||

8-8 | Exploring the ratios of sides lengths within and between shapes produced by an object being enlarged by a given scale factor | 608, 609 | ||||

Algebra - Graphical Rpresentation | Linear Graphs | 9-1 | Identify the equations of horizontal and vertical lines | 205 | ||

9-2 | Plot coordinates from a rule to generate a straight line | 206 | ||||

9-3 | Develop a rule into an algebraic representation | 205 | ||||

9-4 | Develop concept of gradient using graphs of the form y = ax before moving to equations of the form y = ax + b | 201 - 204 | ||||

9-5 | Identify key features of a linear graph including the y-intercept and the gradient | 207 | ||||

9-6 | Make links between the graphical and the algebraic representation of a linear graph | 207 | ||||

9-7 | Recognise different algebraic representations of a linear graph | 210 | ||||

9-8 | Identify parallel lines from algebraic representations | 214 | ||||

Half Term 4 | Ratio & Proportion | Ratio | 10-1 | Understand the concept of ratio and use ratio language and notation | 328 | |

10-2 | Connect ratio with understanding of fractions | 330 | ||||

10-3 | Recognise and construct equivalent ratios including writing ratios in their simplest form | 329 | ||||

10-4 | Construct tables of values and use graphs as a representation for a given ratio | |||||

10-5 | Compare ratios by finding a common total value | |||||

10-6 | Solve ratio and proportion problems in a variety of contexts | 332 - 335 | ||||

Ratio & Proportion | Ratio, Real life Graphs & Rates of Change | 11-1 | Use ratio notation to describe a multiplicative relationship between two quantities | |||

11-2 | Solve problems involving ratios | |||||

11-3 | Explore ratios in different contexts including speed and other rates of change | 716 - 719, 721 | ||||

11-4 | Contrast ratio relationships involving discrete and continuous measures | |||||

11-5 | Use speed and other rates of change to draw and interpret graphical representations | 896 | ||||

11-6 | Explore density and concentration as other contexts for proportional relationships | 725, 728, 729 | ||||

Ratio & Proportion | Direct & Indirect proportion | 12-1 | Explore contexts involving proportional relationships | 739, 740, 864 | ||

12-2 | Represent proportional relationships using tables and graphs | 339 | ||||

12-3 | Represent proportional relationships algebraically | 343 | ||||

12-4 | Understanding about graphs of proportional relationships | |||||

12-5 | Solve proportion problems | |||||

12-6 | Meaning and properties of inverse proportional relationships | 342 | ||||

12-7 | Investigate constant area as a context for indirect proportion | |||||

12-8 | Represent inverse proportion relationships algebraically | 346 | ||||

Half Term 5 | Data | Univariate Data - Averages | 13-1 | Find the mean, median mode and range from raw datasets | 404, 405, 409, 410 | |

13-2 | Use the mean, median and mode to compare data sets | |||||

13-3 | Use an average plus the range to compare datasets | |||||

13-4 | Find the mode, median and mean from tables and graphical representations (not grouped) | 417 | ||||

13-5 | Explore methods of data collection including surveys, questionnaires and the use of secondary data | 394, 399 | ||||

13-6 | Appreciate the difference between discrete and continuous data | 393 | ||||

13-7 | Classify and tabulate data | 401, 402 | ||||

13-8 | Conduct statistical investigations using collected data | |||||

Data | Bivariate Data - Scattergraphs | 14-1 | Construct scatter graphs | 453 | ||

14-2 | Examine clusters and outliers | |||||

14-3 | Analyse the shape, strength and direction to make conjectures for possible bivariate relationships | |||||

14-4 | Using range, mean, median and mode to investigate the characteristics of data and to compare to sets of data | |||||

14-5 | Use a scatter graph to plot a line of best fit | 454 | ||||

14-6 | Use a line of best fit to interpolate and extrapolate inferences | |||||

Half Term 6 | Number - Rounding and Estimation | Accuracy & Estimation | 15-1 | Round off a number to a required number of decimal places | 56 | |

15-2 | Round off a number to a required number of significant figures | 130 | ||||

15-3 | Estimate the answer to a given problem | 131 | ||||

15-4 | Truncate a decimal number. | 134 | ||||

15-5 | Identify rounding and truncation errors | 774 - 777 | ||||

Area, Volume & Surface Area | Circles & composite Shapes | 16-1 | Explore relationship between circumference and diameter/radius | 534535 | ||

16-2 | Formula for circumference | 534535 | ||||

16-3 | Explore relationship between area and radius | 539, 540 | ||||

16-4 | Formula for area of a circle | 539, 540 | ||||

16-5 | Area and circumference of a semi-circle and other sectors | 536, 541 | ||||

16-6 | Area and perimeter of composite shapes involving sectors of circles | 536, 541 | ||||

Area, Volume & Surface Area | Volume & Surface Area of Prisms | 17-1 | Naming prisms, nets of prisms and using language associated with 3-D shapes | 829 - 836 | ||

17-2 | Finding the volume and surface area of cuboids | 568,569, 584 | ||||

17-3 | Finding the volume and surface area of other prisms including cylinders | 571 - 574, 585, 586 | ||||

17-4 | Finding the volume and surface area of composite solids | |||||

17-5 | Solving equations and rearranging formulae | |||||

17-6 | Convert between different units of area and volume | 702, 703 |