Skip to 0 minutes and 7 secondsPAULA KELLY: So that's all for this week. Understanding how other number bases work helps us appreciate how the base 10 system works. Being aware of how numbers work gives students a better feel for number and enables them to be more flexible when manipulating numbers and less reliant on rigid algorithms and rules.

Skip to 0 minutes and 26 secondsMICHAEL ANDERSON: In Week 2, we'll explore different number families, including times tables, multiples, and factors. We'll explore rules for divisibility and enter the fascinating world of prime numbers, looking at their uses and finding patterns out of the seemingly randomness.

Skip to 0 minutes and 42 secondsPAULA KELLY: Just a quick reminder. If you haven't already done so, check out this week's accompanying worksheet of questions for you to have a go at yourself. We've also linked some further resources you may wish to explore to consolidate your learning and extend what we've covered this week. We'll see you next week.

Summary: number systems

Understanding how other number bases work helps us to appreciate how the base ten system works. Being aware of how numbers work gives students a better feel for number and enables them to be more flexible when manipulating numbers and less reliant on rigid algorithms and rules.

In week two we will explore different number families, including times tables, multiples and factors. We will explore rules for divisibility and enter the fascinating world of prime numbers, looking at their uses and finding patterns out of the seemingly randomness.

Weekly answers and reflection grid

Answers for the weekly problem sheet questions are available under the Downloads link at the bottom of this step. Review your answers and if you got some wrong, review the steps and try again.

We’ve provided a template below to support your reflections on your learning in this course.

If you are a teacher and using this course to support your teaching of number, you may be using some of our explanations or the teaching resources with your students. It’s worth capturing where you are trying ideas out and considering why they are, or perhaps are not, working with specific groups of students.

Any questions you might have about this week’s topics should also be noted, so you can identify where videos next week may help your understanding. Any unanswered questions can be taken to the Q&A sessions we will run for our maths subject knowledge courses.

If you are not a teacher, you will still find value in noting both your successes and any points you wish to cover further.

Teaching resources

This collection of SMILE activities contain a variety of games, activities and investigations to help develop a deep understanding of place value and number bases.

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This video is from the free online course:

Maths Subject Knowledge: Understanding Numbers

National STEM Learning Centre