teaching resource

Fact Family Mazes Differentiated Worksheet Set

Updated: 01 Nov 2023

Use this differentiated worksheet set to provide independent practise of fact family knowledge to solve multiplication expressions.

Editable: Google Slides
Non-Editable: PDF
Pages: 7 Pages
Year: 3
Differentiated: Yes

Curriculum

VC2M3N05

Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies <ul> <li>applying knowledge of numbers and the properties of operations using a variety of ways to represent multiplication or division number sentences; for example, using a Think Board to show different ways of visualising 8 × 4, such as an array, a diagram and a worded problem</li> <li>using part-part-whole and comparative models to visually represent multiplicative relationships and choosing whether to use multiplication or division to solve problems</li> <li>matching or creating a problem scenario or story that can be represented by a given number sentence involving multiplication and division; for example, using given number sentences to create worded problems for others to solve</li> <li>formulating connected multiplication and division expressions by representing situations from Aboriginal and/or Torres Strait Islander Peoples’ cultural stories and dances about how they care for Country/Place, such as turtle egg gathering, using number sentences</li> </ul>
VC2M4A02

Recall and demonstrate proficiency with multiplication facts up to 10 × 10 and related division facts, and explain the patterns in these; extend and apply facts to develop efficient mental and written strategies for computation with larger numbers without a calculator <ul> <li>using arrays on grid paper or created with blocks or counters to develop, represent and explain patterns in multiplication facts up to 10 × 10; and using the arrays to explain the related division facts</li> <li>using materials or diagrams to develop and record multiplication strategies such as doubling, halving, commutativity and adding one more or subtracting from a group to reach a known fact; for example, creating multiples of 3 on grid paper and doubling to find multiples of 6, and recording and explaining the connections to the × 3 and × 6 multiplication facts: 3, 6, 9, … doubled is 6, 12, 18, …</li> <li>using known multiplication facts for 2, 3, 5 and 10 to establish multiplication facts for 4, 6, 7, 8 and 9 in different ways; for example, using multiples of 10 to establish the multiples of 9 as ‘to multiply a number by 9 you multiply by 10 then take the number away’: 9 × 4 = 10 × 4 − 4, so 9 × 4 is 40 − 4 = 36; or using multiples of 3 as ‘to multiply a number by 9 you multiply by 3, and then multiply the result by 3 again’</li> <li>using arrays and known multiplication facts for twos and fives to develop the multiplication facts for sevens, applying the distributive property of multiplication; for example, when finding 6 × 7, knowing that 7 is made up of 2 and 5, and using an array to show that 6 × 7 is the same as 6 × 2 + 6 × 5 = 12 + 30, which is 42</li> </ul>

teaching resource

Fact Family Mazes Differentiated Worksheet Set

Updated: 01 Nov 2023

Use this differentiated worksheet set to provide independent practise of fact family knowledge to solve multiplication expressions.

Editable: Google Slides
Non-Editable: PDF
Pages: 7 Pages
Year: 3
Differentiated: Yes

Use this differentiated worksheet set to provide independent practise of fact family knowledge to solve multiplication expressions.

Fact Family Maze Activity Worksheets

This worksheet set contains three levelled worksheets covering the same skill (using fact families to solve number facts), at varying levels of complexity. Each worksheet is a single page.

Students should be assigned the worksheet that best meets them at their present level or ability using fact families to solve multiplication and division expressions. The one-star worksheet is scaffolded to include more built-in support and less complex expressions, using only multiples (or increases) of 1, 2, 5, & 10. The two-star worksheet includes more variety and complexity in the problems, including factors 1-10 The three-star worksheet has more complex expressions to 12x and multiple-step questions.

An answer key is included with your download to make marking fast and easy!

Tips for Differentiation + Scaffolding

In addition to individual student work time, use this worksheet as a:

Maths rotation or guided group
lesson exit ticket
fast finisher activity
homework assignment
whole-class review (via smartboard)

To provide a challenge, start a student with the level 3 worksheet. Additionally, the resource can also be edited to include even larger numbers and more complex expressions.

To support students, consider starting with the level 1 worksheet and provide assistance when needed with resources such as a multiplication chart. Demonstrate how to use the resources to help them with the worksheet. Then, let the student attempt level 2 with less assistance.

Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or Google Slides version of this resource.

Because this resource includes an answer sheet, we recommend you print one copy of the entire file. Then, make photocopies of the blank worksheet for students to complete.

Turn this teaching resource into a sustainable activity by printing on cardboard and slipping it into a write-and-wipe sleeve. Students can record their answers with a whiteboard marker, then erase and reuse.

Additionally, project the worksheet onto a screen and work through it as a class by having students record their answers in their notebooks.

This resource was created by Lorin Davies, a teacher and Teach Starter collaborator.

Don’t stop there! We’ve got more multiplication activities to reduce your lesson planning time:

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Go on a colourful safari adventure with your students and help them solve interactive challenges whilst learning about multiplication and division fact families!

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Desk-Sized Multiplication Charts for Students

Download 4 desk-size multiplication charts so every student can keep their own chart handy!

Curriculum

VC2M3N05

Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies <ul> <li>applying knowledge of numbers and the properties of operations using a variety of ways to represent multiplication or division number sentences; for example, using a Think Board to show different ways of visualising 8 × 4, such as an array, a diagram and a worded problem</li> <li>using part-part-whole and comparative models to visually represent multiplicative relationships and choosing whether to use multiplication or division to solve problems</li> <li>matching or creating a problem scenario or story that can be represented by a given number sentence involving multiplication and division; for example, using given number sentences to create worded problems for others to solve</li> <li>formulating connected multiplication and division expressions by representing situations from Aboriginal and/or Torres Strait Islander Peoples’ cultural stories and dances about how they care for Country/Place, such as turtle egg gathering, using number sentences</li> </ul>
VC2M4A02

Recall and demonstrate proficiency with multiplication facts up to 10 × 10 and related division facts, and explain the patterns in these; extend and apply facts to develop efficient mental and written strategies for computation with larger numbers without a calculator <ul> <li>using arrays on grid paper or created with blocks or counters to develop, represent and explain patterns in multiplication facts up to 10 × 10; and using the arrays to explain the related division facts</li> <li>using materials or diagrams to develop and record multiplication strategies such as doubling, halving, commutativity and adding one more or subtracting from a group to reach a known fact; for example, creating multiples of 3 on grid paper and doubling to find multiples of 6, and recording and explaining the connections to the × 3 and × 6 multiplication facts: 3, 6, 9, … doubled is 6, 12, 18, …</li> <li>using known multiplication facts for 2, 3, 5 and 10 to establish multiplication facts for 4, 6, 7, 8 and 9 in different ways; for example, using multiples of 10 to establish the multiples of 9 as ‘to multiply a number by 9 you multiply by 10 then take the number away’: 9 × 4 = 10 × 4 − 4, so 9 × 4 is 40 − 4 = 36; or using multiples of 3 as ‘to multiply a number by 9 you multiply by 3, and then multiply the result by 3 again’</li> <li>using arrays and known multiplication facts for twos and fives to develop the multiplication facts for sevens, applying the distributive property of multiplication; for example, when finding 6 × 7, knowing that 7 is made up of 2 and 5, and using an array to show that 6 × 7 is the same as 6 × 2 + 6 × 5 = 12 + 30, which is 42</li> </ul>

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