teaching resource

Properties of Numbers and Operations Challenge — Year 5

  • Updated

    Updated:  29 Sep 2026

Use this multiplication properties activity to help students solve number mysteries while building mathematical reasoning and problem-solving skills.

  • Editable

    Editable:  Google Slides

  • Non-Editable

    Non-Editable:  PDF

  • Pages

    Pages:  5 Pages

  • Curriculum
  • Year

    Year:  5

Curriculum

teaching resource

Properties of Numbers and Operations Challenge — Year 5

  • Updated

    Updated:  29 Sep 2026

Use this multiplication properties activity to help students solve number mysteries while building mathematical reasoning and problem-solving skills.

  • Editable

    Editable:  Google Slides

  • Non-Editable

    Non-Editable:  PDF

  • Pages

    Pages:  5 Pages

  • Curriculum
  • Year

    Year:  5

Use this multiplication properties activity to help students solve number mysteries while building mathematical reasoning and problem-solving skills.

Multiplication Properties Activities for Mathematical Investigations

Understanding multiplication properties helps students develop a deeper understanding of how numbers work. As students explore equivalent number sentences, unknown values and mathematical relationships, they strengthen the reasoning skills needed for more advanced maths concepts.

This engaging Number Detective project challenges students to solve a series of mathematical mysteries using multiplication and division concepts. Along the way, students build arrays, test equations, solve unknown value problems and justify their thinking using mathematical evidence.

Activities included in this resource are:

  • True or false reasoning tasks.
  • Array-building challenges.
  • Multiplication and division investigations.
  • Unknown value equations.
  • Number mystery challenges.
  • Reflection and self-assessment tasks.

The hands-on format encourages students to explain their thinking, justify solutions and develop confidence with mathematical reasoning.

Commutative Property of Multiplication and More Ways to Learn

These commutative property of multiplication activities can be used in a variety of teaching contexts, including:

  • Whole-class investigations – Solve the detective challenges together and discuss different solution strategies.
  • Maths rotations – Use the activities as a collaborative problem-solving station.
  • Extension tasks – Encourage students to justify their thinking using mathematical evidence and visual models.

The open-ended nature of the project promotes discussion, critical thinking and deeper exploration of number relationships.

Download These Distributive Property of Multiplication Activities

This resource is available as a ready-to-download PDF and an editable Google Slides version.

Use the Download button to access your preferred file type. Please note that you will be prompted to make your own copy of the Google Slides resource before editing.


This resource was created by Alyssa Peterson, a TeachStarter collaborator.


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