### Rationale:

Mathematics is an important creative discipline that helps us to understand and change the World. We want all Nechells pupils to experience the beauty, power and enjoyment of mathematics and develop a sense of curiosity about the subject.

At Nechells Academy, we foster positive ‘can do’ attitudes, believing all children can achieve in mathematics, and teach for secure and deep understanding of mathematical concepts. We use mistakes and misconceptions as an essential part of learning and provide challenge through rich and sophisticated problems before accelerating into new content.

### Intent:

We aim for all pupils to:

- Become fluent in the fundamentals of mathematics (see Year by Year Curriculum Maps) so that they develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
- Solve problems by applying their mathematics to a variety of problems with increasing sophistication, including in unfamiliar contexts and to model real-life scenarios.
- Reason mathematically by following a line of enquiry and develop and present a justification, argument or proof using mathematical language.
- Have an appreciation of number and number operations, which enables mental calculations and written procedures to be performed efficiently, fluently and accurately.

### Implementation:

At Nechells we have two separate daily lessons which enable us to effectively deliver our Maths curriculum.

We hold a daily Maths Meeting which is designed to help our pupils ‘keep up’ with the Maths curriculum. We deliver deliberate practise, arithmetic, intervention through gap getting and pre-teaching to support our most vulnerable pupils.

We also have a daily Maths lesson. This is to teach more specific aspects of Maths through a small step. Pupils are encouraged to learn together and are supported to learn new content whilst being continuously challenged through the level of depth of that small step of learning.

**Maths lesson Design:**

Each lesson focuses on a manageable step of new learning based on the National Curriculum Statements.

1. **Retrieve It:**

Introduction, reference to prior learning

2. **Teach It:**

Modelling of the new learning with explicit use of potential misunderstandings

3. ** Practise It:**

All children practise together (Support and Challenge)

4. **Do It:**

Up to 6 examples- 4 what it is and 2 what it is also (Challenge 1: Procedural Fluency)

5. **Twist It:**

1 or 2 Misunderstandings (True/False, Spot the mistake) (Challenge 2: Conceptual Variation and Deeper Understanding)

6. ** Solve It:**

Apply understanding to solve new problems (Challenge 3: Mathematical Thinking)

7. **Review It:**

Lesson recap- Key Concept statement and Key Vocabulary

Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | Year 6 | |
---|---|---|---|---|---|---|

Autumn 1 | 1. Count up to 30 2. Order numbers up to 30 3. Write and interpret mathematical statements +, – and = 4. Recognise rectangle, square, triangle and circle | 1. Read and write 2-digit numbers 2. Compare and order numbers up to 100 3. Recall and use addition facts to 10 4. Find 10 more or less than a 2-digit number 5. Add two 2-digit numbers 6. Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces | 1. Read and write 3-digit numbers 2. Compare and order numbers up to 1000 3. Finding 10 or 100 more or less than a given number 4. Recognise and count in tenths 5. Recognise horizontal, vertical, perpendicular and parallel lines | 1. Read and write 4-digit numbers 2. Compare and order numbers up to 10,000 3. Round any number up to 4-digits to the nearest 10, 100 or 1000 4. Classify quadrilaterals | 1. Read and write numbers up to 1,000,000 2. Compare and order numbers up to 1,000,000 3. Compare and order decimals with up to 3 decimal places 4. Round numbers to 1 decimal place, nearest whole number and 10, 100, 1000, 10000 5. Count forwards and backwards with positive and negative numbers | 1. Read, write and order numbers up to 10,000,000 2. Multiply and divide numbers by 10, 100 and 1000 3. Multiply numbers up to 4 digits by a 2-digit number choosing efficient methods 4. Divide numbers up to 4 digits by a two-digit number choosing efficient methods and interpreting the remainders 5. Calculate intervals across zero 6. Describe and plot positions on a 2-D grid as coordinates in the four quadrants 7. Reflect and translate shapes |

Autumn 2 | 5. Write numbers to 100 in numerals 6. Compare and order numbers to 100 7. Identify one more and one less than a given number 8. Represent and use number bonds within 10 (addition facts) 9. Represent and use number bonds within 10 (subtraction facts) 10. Recognise cuboids, pyramids and spheres | 7. Know that addition is commutative and subtraction is not 8. Subtract two 2-digit numbers 9. Recall and use subtraction facts to 10 10. Understand how multiplication can be represented 11. Know that multiplication is commutative and division is not 12. Understand how division can be represented 13. Describe turn using right angles | ‘6. Add numbers with up to 3-digits mentally 7. Subtract numbers with up to 3-digits mentally 8. Know and use multiplication facts for 3, 4 and 8 multiplication tables 9. Know and use division facts for 3, 4 and 8 multiplication tables | ‘5. Add and subtract numbers with up to 4-digits mentally 6. Know and use multiplication facts for 6, 7 and 9 multiplication tables 7. Know and use division facts for 6, 7 and 9 multiplication tables | 6. Add and subtract whole numbers with more than 4 digits choosing efficient methods 7. Add and subtract decimals with up to 3 decimal places choosing efficient methods 8. Multiply and divide whole numbers and decimals by 10, 100 and 1000 9. Identify and use multiples, factors and prime numbers. | 8. Simplify fractions 9. Compare and order fractions, including fractions > 1 10. Know and use simple fraction, decimal and percentage equivalents 11. Compare and classify 2-D and 3-D shapes 12. Know and use angle properties of straight lines, at a point and shapes 13. Draw simple shapes using given lengths and angles |

Spring 1 | 11. Represent and use number bonds for 11 to 16 (addition facts) 12. Represent and use number bonds for 11 to 16 (subtraction facts) 13. Measure length and height | 14. Know and use multiplication facts for 2, 5 and 10 multiplication tables 15. Know and use division facts for 2, 5 and 10 multiplication tables 16. Read scales in divisions of 1, 2, 5 and 10 17. Use standard units to measure length, mass and height | 10. Compare and order fractions with same numerator or same denominator 11. Add numbers with up to 3-digits using a formal written method 12. Subtract numbers with up to 3-digits using a formal written method 13. Choose efficient methods to add and subtract numbers up to 3-digits | 8. Add and subtract numbers with up to 4-digits using a formal written method 9. Know and use multiplication facts for 11 and 12 multiplication tables 10. Know and use division facts for 11 and 12 multiplication tables 11. Choose efficient methods to add and subtract numbers up to 4-digits | 10. Multiply numbers up to 4-digits by 1 or 2-digits using a formal written method 11. Divide numbers up to 4-digits by 1-digits using a formal written method of division 12. Use known facts and place value to multiply a whole number by a decimal 13. Multiply decimal numbers (1 or 2 decimal places) by 1-digit using a formal written method | 14. Add and subtract fractions with denominators that are not multiples of each other 15. Add and subtract mixed numbers 16. Multiply simple pairs of proper fractions 17. Divide proper fractions by a whole number |

Spring 2 | 14. Represent and use number bonds within 20 (addition facts) 15. Represent and use number bonds within 20 (subtraction facts) 16. Recognise and find one half 17. Recognise and find one quarter 18. Use the language position, direction and movement | 18. Recognise and find one third 19. Recognise and find three quarters 20. Tell the time to quarter to/past and 5 minute intervals 21. Calculate change 22. Combine coins to make amounts | 14. Multiply 2-digit by 1-digit numbers mentally 15. Divide 2-digit by 1-digit numbers mentally 16. Multiply 2-digit by 1-digit numbers using a formal written method | 12. Multiply 2-digit by a 1-digit using the distributive law 13. Multiply 3-digit by a 1-digit using a formal written method 14. Divide a 3-digit by a 1-digit number 15. Use place value, known and derived facts to multiply and divide mentally 16. Identify acute and obtuse angles | 14. Compare and order fractions whose denominators are all multiples of the same number 15. Read and write decimal numbers (up to 3 decimal places) as fractions 16. Understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100 17. Convert between adjacent units of metric measure | 18. Find percentages of an amount 19. Use simple ratio to compare quantities 20. Convert between different units of metric measure 21. Calculate the area of triangles/parallelograms 22. Calculate volumes of cuboids 23. Use simple formulae expressed in words 24. Find possible values in missing number problems involving one or two unknowns |

Summer 1 | 19. Add and subtract 1 and 2-digit numbers up to 20 20. Know the days of the week and months of the year 21. Tell the time to the hour and half past | 23. Construct and interpret pictograms using 2s, 5s and 10s 24. Recall factorfactor-product relationships for 2, 5 and 10 multiplication tables | 17. Calculate fractions of amounts 18. Add and subtract fractions with the same denominator 19. Tell the time to the nearest minute 20. Calculate durations of events | 17. Divide 1 and 2-digit numbers by 10 and 100 18. Add and subtract fractions with the same denominator beyond the whole 19. Find families of equivalent fractions 20. Recall factor-factor-product relationships for 6,7,9,11 and 12 multiplication tables | 18. Convert mixed numbers to improper fractions and vice versa 19. Add mixed numbers and proper fractions with denominators that are the same and multiples of each other 20. Subtract proper fractions from mixed numbers with denominators that are the same and multiples of each other 21. Multiply fractions and mixed numbers by a whole number | Revisit and revise |

Summer 2 | 22. Represent multiplication using concrete objects and pictorial representations 23. Represent division using concrete objects and pictorial representations 24. Recognise and know the value of different denominations of coins and notes | Revisit and prepare for the next key stage (transition) | 21. Measure the perimeter of shapes 22. Identify angles in shapes 23. Interpret bar charts 24. Recall factorfactor-product relationships for 3, 4 and 8 multiplication tables | 21. Add and subtract decimal numbers (up to 2 decimal places) including measures and money 22. Find the area of rectilinear shapes by counting squares 23. Describe and plot positions on a 2-D grid as coordinates in the first quadrant 24. Convert between analogue and digital 12 and 24-hour clocks and other units of time | 22. Calculate the area of rectangles 23. Draw given angles, and measure them, in degrees (°) 24. Interpret line graphs | Transition: prepare for the next key stage |

### Maths curriculum Documents:

Medium Term Plans:

To view all Knowledge Organisers for all year groups click on the folder link below: