# KS3 Numeracy Year 8 Free Sample Resources

Explore 'Place Value and Decimals', a complete unit of consolidating numeracy resources and PowerPoint presentations. These comprehensive materials can be used to ensure that students’ numeracy remains secure and fluent through Key Stage 3. 'Same as', a sample Algebra Through Numeracy Problem Solving Unit, presents a number investigation structured to teach KS3 algebra skills as well as problem-solving resilience and tactics.

Consolidating Numeracy units consist of ‘starters’ - two PowerPoint slides to provide quick numeracy revision three times a week. There are further slides which may be used to teach and consolidate the topic if the students show that they have not mastered this aspect of numeracy and are not demonstrating fluency.

To access Hamilton’s complete set of Key Stage 3 Numeracy materials, sign up as a Friend (just £28) or subscribe your whole maths department (£120 for up to 30 teacher logins). As an added benefit, you will also have access to Hamilton’s Upper Key Stage 2 resources which include extra support sheets on all numeracy topics. Find out more.

## Unit 1 Place Value and Decimals 1 (free)

### Objectives

Day 1

• Explore the Place Value (PV) chart from thousands to hundredths;
• Carry out PV addition and subtraction.

KS3 Objective

• Understand and use place value for integers of any size.

Day 2

• Explore the Place Value of large numbers by ordering and comparing on a number line.

KS3 Objective

• Order decimals and use the number line as a model for ordering of the real numbers.

Day 3

• Explore the Place Value of 2-place decimals by ordering and comparing on a number line.

KS3 Objective

• Order decimals and use the number line as a model for ordering of the real numbers.

### Teaching and Activities

Day 1

Check-up

Identify the value of each digit in numbers with up two decimal places. Use place value to add and subtract.

Follow-up

Use the place value grid and chart to consolidate understanding of the value of each digit, then use place value to change one digit at a time in a number.

Day 2

Check-up

Compare, order and place whole numbers on a number line between multiples of 10,000.

Follow-up

Use the most significant digits in 5-digit numbers to compare and place between multiples of 10,000 on number lines.

Day 3

Check-up

Order numbers with one or two decimal places. Place numbers with two decimal places between multiples of 0.1 on a number line.

Follow-up

Use the place value grid to compare numbers with one or two decimal places.

## Unit 2 Same as (free)

### Objectives

KS3 Programme of Study statements

• Model situations by translating them into algebraic expressions.
• Use and interpret algebraic notation.
• Substitute numerical values into expressions.
• Simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms.
• Use the concept and vocabulary of multiples.
• Use the 4 operations, including formal written methods, applied to integers.
• Use the concept and vocabulary of multiples.
• Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships.
• Solve problems.

### Teaching and Activities

Numeracy and Algebra
Write in expanded form (using digits or algebra); substitute into expressions; collect like terms and simplify; recognise multiples.

Numeracy and problem solving: Investigation: Same as… (involving revision of multiplying two-digit numbers by two-digit numbers and working with products).

Algebra and problem solving: Continuation of Same as… including generalisation, using algebra learnt in Lesson 1).