### Mastery-Based Learning | Maths

### Timeless lessons beyond the classroom

##### Research shows that the mastery of numeracy skills is necessary to advance in maths and essential for success in STEAM subjects. Pupils who are proficient with fundamental mathematical skills do remarkably well academically.

#### Mastery is not a function of genius or talent; it is a function of exerting effort to learn a particular skill with dedication and focus.

#### Our Maths Mastery courses helps learners to:

##### Develop confidence to calculate mentally

##### Develop problem-solving strategies

##### Memorise key facts and practise specific skills

#### The topics below are the building blocks for advanced mathematics.

#### Check out the objectives we cover in each topic below.

Pupils learn to:

- Add two and three digit numbers.
- Subtract two and three digit numbers.
- Recall times tables and division facts.
- Multiply and divide by 10, 100 and 1000.
- Recognise negative and positive numbers.
- Calculate with negative and positive numbers.

Pupils learn to:

- Identify unit and proper fractions.
- Calculate fraction of a quantity.
- Simplify fractions.
- Identify equivalent fractions.
- Convert improper fractions into mixed numbers.
- Add and subtract fractions with the same denominators.
- Add and subtract fractions with different denominators.

Pupils learn to:

- Calculate percentage of a quantity.
- Convert fractions to percentages.
- Convert decimals to percentages.
- Convert percentage to decimals.
- Convert percentages to fractions.

Pupils learn to:

- Locate numbers with one decimal place (d.p.) on a number line.
- Find the difference using a number line.
- Order decimal numbers.
- Add and subtract decimal numbers.
- Round decimal numbers to 1 and 2 d.p.
- Convert decimals to fractions.
- Convert fractions to decimals.

Pupils learn to:

- Read metric length measurements.
- Convert and calculate metric length measurements.
- Read metric mass measurements.
- Convert and calculate metric mass measurements.
- Read metric capacity measurements.
- Convert and calculate metric capacity measurements.

Pupils learn to:

- Tell the time using words in intervals of quarter past, quarter to, half an hour, in multiples of 10, 5 and 1 minute.
- Tell the time in words, using language such as 'o'clock', 'half past' and 'quarter to'.
- Find the correct time on an analogue or digital clock. Levels include: subtracting 1 hour, multiples of 5, or 10 minutes or subtracting multiples of a quarter of an hour.
- Answer word problems using a calendar.

Pupils learn to:

- Count area and perimeter using squares.
- Calculate the area and perimeter of quadrilaterals.
- Calculate the area and perimeter of triangles.
- Calculate the area and perimeter of compound shapes.
- Recognise coordinate points in all quadrants.
- Translate and reflect shapes.

Pupils learn to:

- Recognise the place value of digits to million and beyond.
- Compare numbers on a number line.
- Round numbers to the nearest 10, 100 and 1000.
- Partition numbers.
- Count forwards and backwards with a given number.
- Recognise odd and even numbers.

##### Feel free to contact us if you need any help in choosing the topics to get started.

##### Pre-requisite test for - Place value and Arithmetic OperationsÂ

This test checks the pupil's ability to:

- Count numbers at least up to 1000.
- Add and subtract numbers up to 20.

There are 15 questions in total.

To register for the place value and arithmetic operations courses - the pupil should score at least twelve correct answers.

##### Pre-requisite test for - Fractions & DecimalsÂ

This test checks the pupil's ability to

- Recognise place values at least up to 1000.
- Add and subtract two-digit numbers.
- Recall 1, 2, 3, 4, 5 and 10 times tables and the corresponding division facts.

There are 15 questions in total.

To register for the fractions and decimals courses - the pupil should score at least twelve correct answers.

##### Pre-requisite test for - PercentagesÂ

This test checks the pupil's ability to:

- Recognise place values at least up to 1000.
- Arithmetic operations.
- Perform fractions and decimals calculations.

There are ten questions in total.

To register for the percentages courses - the pupil should score at least eight correct answers.

##### Pre-requisite test for - 2D & 3D Shapes and Geometry

This test checks the pupil's ability to:

- Recognise place values at least up to 10,000.
- Arithmetic operations.

There are fifteen questions in total.

To register for the shapes and geometry courses - the pupil should score at least twelve correct answers.

##### Pre-requisite test for - Telling the Time

This test checks the pupil's ability to:

- Recognise place values at least up to 10,000.
- Arithmetic operations.

There are ten questions in total.

To register for the telling the time course - the pupil should score at least eight correct answers.

##### Pre-requisite test for - MeasurementsÂ

This test checks the pupil's ability to:

- Recognise place values at least up to 10,000.
- Arithmetic operations.
- Perform fractions and decimals calculations.

There are twenty questions in total.

To register for the measurement course - the pupil should score at least fifteen correct answers.

These courses are also beneficial for pupils studying to achieve grades 3, 4, and 5 of Maths GCSE.

- Frequent practise improves the pupil's ability to recall mathematical facts.
- Instant and constructive feedback increases the pupil's confidence and motivation.
- Multiple representations of the same mathematical idea broaden pupil understanding.
- Class discussion reinforces the pupil's knowledge and clears misconceptions.
- A wide variety of question types builds the pupil's exam skills and scores.

Please see our mastery approach and model. **Click here.**

**The following are basic skills required to enrol for each topic.Â **

Topic |
Required Skills |

Place Value |
-Â Ability to count numbers at least up to 1000. Addition and subtraction up to 20. |

ArithmeticÂ Operations |
-Â Knowledge of place value up to 1000 essential. Addition and subtraction up to 20. |

FractionsÂ |
- Recognise place value up to 10,000. Add and subtract 2 digit numbers. Recall times tables and divisions up to 10. |

DecimalsÂ |
-Â Knowledge of place value and arithmetic operations. |

Percentages |
- Knowledge of place value, arithmetic operations, fractions and decimals. |

Telling the Time |
- Knowledge of place value and arithmetic operations. |

2D and 3D Shapes |
-Â Knowledge of place value and arithmetic operations. |

Measurements |
- Knowledge of place value, arithmetic operations, fractions and decimals. |