Working with Decimal Numbers

Scheme of work: Key Stage 3: Year 7: Term 3: Working with Decimal Numbers

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.

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 =, % , <, >