# Working with Decimals

Scheme of work: GCSE Foundation: Year 9: Term 5: Working with Decimals

#### Prerequisite Knowledge

• Read and write decimal numbers as fractions [for example, 0.71 = 71/100 ]
• recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
• round decimals with two decimal places to the nearest whole number and to one decimal place
• read, write, order and compare numbers with up to three decimal places

#### Success Criteria

• Order positive and negative decimals
• use the symbols =, +, – x and /
• apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers â€“ all both positive and negative;
• understand and use place value
• recognise and use relationships between operations
• estimate answers; check calculations using approximation and estimation, including answers obtained using technology

#### Key Concepts

• Use the place value table to teach the column method of addition and subtraction of decimal numbers. This helps students to align the digits to the decimal place.
• When calculating with decimal numbers encourage students to estimate the solution as means to check their working.
• Students may need to recap multiplying and diving by powers of ten when calculating the product of decimal numbers.
• Use equivalent fractions when performing long division. Simplifying the fractions help to break down the calculation.

#### Common Misconceptions

• Students incorrectly consider multiplications to always increase a number and divisions to decrease.
• Students fail to spot incorrect calculations due to not estimating solutions.

## Working with Decimals Resources

### Mr Mathematics Blog

#### Regression, Correlation and Hypothesis Testing

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing

#### 3D Vectors – Year 2

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Pure 2: 3D Vectors

#### Parametric Equations

Edexcel A-Level Mathematics Year 2: Pure 2: Parametric Equations