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# Level 1 - Mathematics Skills

You will work through the following range of units to increase your confidence in using mathematics at this level and applying them in your daily life.

### Decimals

Aim

To develop the learner’s skills in working with decimals. This includes addition, subtraction, multiplication and division with decimal numbers up to two places.

Learning outcomes

• To be able to read decimal numbers up to three places.
• To be able to write decimals up to three places.
• To be able to compare decimals up to three places.

### Fractions, ration and proportion

Aim

To develop the learner’s skills in comparing fractions and mixed numbers and using equivalences between common fractions, percentages and decimals. The learner will also work out simple ratio and direct proportion.

Learning outcomes

• To be able to read mixed numbers.
• To be able to write mixed numbers.
• To be able to compare fractions and mixed numbers.
• To know equivalences between common fractions, percentages and decimals.
• To be able to work out simple ratio and direct proportion.

### Handling data - collect, organise and represent data

Aim

To develop the learner’s skills in collecting, organising and representing discrete data.

Learning outcomes

• To be able to record discrete data.
• To be able to represent discrete data.

### Handling data - extract and interpret data

Aim

To develop the learner’s skills in extracting and interpreting data from tables, diagrams, charts and line graphs.

Learning outcomes

• To be able to interpret information from a range of sources.

### Handing data - mean and range

Aim

To develop the learner’s skills in finding the arithmetical mean and range for sets of data.

Learning outcomes

• To be able to find the arithmetical average (mean) for sets of data.
• To be able to find the arithmetical range for sets of data.

### Handling data - probability

Aim

To develop the learner’s skills in working with probability. Learners will express the likelihood of events in different ways.

Learning outcomes

• To be able to show that some events are more likely to occur than others.
• To be able to express the likelihood of an event occurring.

### Measure, shape and space - calculate using shape and space

Aim

To develop the learner’s skills in solving problems using shape and space including finding area, perimeter and volume of simple shapes.

Learning outcomes

• To be able to solve problems using the mathematical properties of regular 2D shapes.
• To be able to draw 2D shapes in different orientations using grids.
• To be able to calculate the perimeters of simple shapes.
• To be able to calculate the areas of rectangles.
• To be able to calculate volumes of simple shapes.

### Measure, shape and space - length, weight and capacity

Aim

To develop the learner’s skills in measuring and recording length, weight and capacity and perform calculations within the same system.

Learning outcomes

• To be able to record length.
• To be able to record weight.
• To be able to record capacity.
• To be able to carry out calculations within the same system of measurement.

### Measure, shape and space - temperature and time

Aim

To develop the learner’s skills in calculating with money and measuring and recording time and temperature.

Learning outcomes

• To be able to calculate amounts of money expressed in pounds and pence.
• To be able to record time.

### Percentages

Aim

To develop the learner’s skills in finding percentages and calculating whole number percentage increase and decrease.

Learning outcomes

• To be able to recognise percentages.
• To be able to write percentages.
• To be able to compare whole number percentages.
• To be able to recognise simple percentage increase and decrease.
• To be able to find whole number percentage parts of quantities and measurements.
• To be able to find whole number percentage increases.
• To be able to find whole number percentage decreases.

### Positive and negative numbers

Aim

To develop the learner’s skills in working with positive numbers up to seven digits and recognising negative numbers. This includes addition, subtraction, multiplication, division and rounding.

Learning outcomes

• To be able to compare numbers up to seven digits.
• To be able to identify negative numbers in everyday situations.
• To be able to add and subtract whole numbers up to seven digits.
• To be able to multiply whole numbers.
• To know multiplication facts.
• To be able to divide whole numbers.
• To be able to approximate by rounding.
• To be able to estimate answers to a range of calculations.

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