# Working with Decimal Numbers

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

#### Prerequisite Knowledge

• 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

#### Key Concepts

• 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.

#### Working Mathematically

• 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.

#### Subject Content

• 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 =, % , <, >

## Working with Decimal Numbers Resources

### Mr Mathematics Blog

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Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

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#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.