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Students learn how to use place value to add, subtract, multiply and divide with decimal numbers using the column method. As learning progresses they learn how to round to a given accuracy and use multiplication to solve a range of real life problems.

This unit takes place in Year 7 Term 3, and follows on from place value.

- Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
- Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
- Solve problems involving addition, subtraction, multiplication and division
- Multiply one-digit numbers with up to two decimal places by whole numbers
- Use written division methods in cases where the answer has up to two decimal places

- Students should have a good understanding of the place value table to add and subtract with decimal numbers.
- When multiplying with decimal numbers students should be able to use a range of range of written methods.
- Estimations should be made when dividing and multiplying with decimals.
- When rounding to a decimal place the number is rounded up if it is exactly midway between two numbers.

Develop fluency

- Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals

Reason mathematically

- Extend their understanding of the number system; make connections between number relationships

Solve problems

- Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
- Develop their use of formal mathematical knowledge to interpret and solve problems, including in financial mathematics

Number

- Understand and use place value for decimals, measures and integers of any size
- Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥

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