Manipulatives Worksheets

Manipulatives are physical tools that play a crucial role in developing conceptual understanding of maths topics, helping to link concrete representations to abstract mathematical concepts. At Cazoom, we incorporate a wide variety of manipulatives to enhance learning, including number frames, base 10 blocks, place value counters, ten frames, algebra tiles, and directed counters. These tools are instrumental in helping students grasp fundamental mathematical ideas through hands-on experience, promoting deeper understanding and retention.

At KS1, number frames can be grouped to make sense of addition and subtraction. These alongside ten frames, are perfect when working with number bonds. Place value counters and base 10 blocks demonstrate how numbers are composed and can be used when regrouping during calculations. Directed counters and algebra tiles will be used with students in year 6 right through to KS4. Directed number counters are helpful in building confidence when working with negative and positive integers. Algebra tiles are used to teach abstract algebraic concepts in a tangible way and are an excellent tool for manipulation of algebraic expressions such as expanding brackets.

New worksheets and activities incorporating these manipulatives are added regularly, ensuring there’s always something fresh to boost your students’ understanding.

Directed Number – Addition Using Directed Counters

Year groups: 7, 8
Directed Number - Addition Using Directed Counters worksheet fit for students in year 7 and year 8

Directed Number – Multiplication Using Directed Number Counters

Year groups: 7, 8
Directed Number - Multiplication Using Directed Number Counters Worksheet Suitable for Students in Year 7 and Year 8

Directed Number – Subtraction Using Directed Counters

Year groups: 7, 8
Directed Number - Subtraction Using Directed Counters worksheet created for students in KS3

Introducing Algebra Tiles

Year groups: 7
Introducing Algebra Tiles Worksheet Suitable for Students in Year 7

Representing Numbers – Using Directed Counters

Year groups: 7, 8
Representing Numbers - Using Directed Counters Worksheet Suitable for 7 and 8 Students

Solving One Step Equations with Algebra Tiles

Year groups: 7, 8
Solving One Step Equations with Algebra Tiles Worksheet Suitable for Year 7 and Year 8 Students

Solving Two Step Equations with Algebra Tiles

Year groups: 7, 8
Solving Two Step Equations with Algebra Tiles Worksheet Suitable for Year 7 and Year 8 Students

Substitution – Using Algebra Tiles

Year groups: 7, 8
Substitution - Using Algebra Tiles Worksheets suitable for Year 7 and Year 8 students

Expanding Brackets and Simplifying – Using Algebra Tiles

Year groups: 8, 9
Expanding Brackets and Simplifying - Using Algebra Tiles Worksheet Suitable for 8 and 9 Students

Expanding Double Brackets (A) Using the Grid Method

Year groups: 8, 9, 10
Expanding Double Brackets Worksheet fit for students in year 8, 9 and year 10

Expanding Single Brackets – Using the Grid Method

Year groups: 8, 9
Expanding Single Brackets Worksheet perfect for students in year 8 and year 9

Solving Equations with Unknowns on Both Sides – Using Algebra Tiles

Year groups: 8, 9, 10
Solving Equations with Unknowns on Both Sides Using Algebra Tiles Worksheet Suitable for Year 8, Year 9, and Year 10 Students