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Building Multiplicative Strategies

We all know MULTIPLICATIVE THINKING is a key growth point in our students’ numeracy development.


Odds are that the need to improve multiplicative thinking is identified as part of your school’s improvement planning or a finding from your NAPLAN analysis.

This package comprehensively covers multiplicative thinking, using 6 different approaches based on 6 key strategies.

The package consists of:

# Part Contents Get it
1 Strategy lessons Multiplicative thinking has many facets which include strategies, representations and contexts. This package consists of:
• Strategy 1: Flexible Thinking
• Strategy 2: Double
• Strategy 3: Number Splitting
• Strategy 4: Using 10s Facts
• Strategy 5: Landmark Numbers
• Strategy 6: Factors
Learn More $22.00
2 Mental routines This package gives the questions and lesson plans for six mental routines that will help you build your students’ ability with multiplicative strategies. Central to this process is helping students to acquire and use the language of multiplication and the package offers a word-wall that will help in this respect. The mental routine will enable you to observe:
• who is participating and who is notes
• what strategies the students are using
• how confident students are with the strategies.
Learn More $8.80
3 Problematized situations This package gives a typical lesson plan that can be used to run the 10 problematized situations that we have provided. A key feature of the problematized situations is the realism of the context within which the they are set. The problems:
• are everyday situations familiar to the learner
• create scenarios that can be resolved in a number of different ways
• have multiple entry and exit points.
• allow students to make choices about how to use what they do know and can do.
Learn More $11.00
4 Word problems There are two lesson plans that introduce different approaches that can be used with word problems. You will find that the plans:
• emphasize the importance of carefully sorting out the problem and showing the problem visually
• encourage thinking about what kind of problem it is
• encourage strategic flexibility and fluency
• promote dialogue, sharing and comparing.
Learn More $8.80
5 Number talk The pattern-based sequences foster the expectation that students should always self-talk:
“Do I need to work at every one of these or are some related?”
“What do I know that will help me with this one?”
“What relationships can I see?”
Thinking in this way develops multiplicative thinking and proportional reasoning.
There are also suggestions for allowing about 5 minutes for students to share their estimates of what the result of a multiplication might be.
Learn More $6.60
6 Calculator challenges Calculators are not just for finding answers; they can also be used to:
• find the correct answer before working on the challenge, thus encouraging safe exploration
• check that the key sequence created for the challenge actually does what the student thought it would
• relieve the burden on working memory so that students can do the hard thinking and let the calculator do the calculating
Learn More $7.70
7 Complete Edition Multiplicative thinking has many facets which include strategies, representations and contexts. This package covers this topic comprehensively, even though many of the components can be used separately when the teacher sees a need for a particular aspect that needs attention. The package consists of the following modules:
• Strategy lessons – covering: Flexible Thinking, Double, Number Splitting, Using 10s Facts, Landmark Numbers, Factors
• Mental routines
• Problematized situations
• Word problems
• Number talk
• Calculator challenges
Learn More $55.00

You may purchase these resources as a whole package or access the components separately when you see a need for attention on a particular aspect of multiplicative thinking.

The package is set within an inquiry context. This enables you to show where students’ multiplicative thinking started from and what they have achieved as a result of your teaching.

Are you having an impact?

John Hattie has coined the term 'know thy impact'. Teachers are more and more being expected to know if they are having sufficient impact on their students' learning.

Teachers are also expected to involve students in knowing the learning intentions and to be involved in knowing how well they are meeting success criteria.

With this in mind, we have planned this package as a mini classroom-based inquiry such that we can begin to collect data about our impact, what's working, what we can achieve and how we can share the learning journey with our students.

Try a free sample

Use the Download a Free Sample button on the package page to ‘test drive’ the resources in this package.