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Context First Shop

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The focus of all of the resources on this website is to promote conceptual understanding by starting with context first. This makes them ideal low threshold, high ceiling lessons. Please read the notes below on how to use them. These resources and this idea is new and untested so feedback is welcomed! Please visit the website for more info on how to use these resources. (Some resources are borrowed or adapted from other places - Credit where it's due)

The focus of all of the resources on this website is to promote conceptual understanding by starting with context first. This makes them ideal low threshold, high ceiling lessons. Please read the notes below on how to use them. These resources and this idea is new and untested so feedback is welcomed! Please visit the website for more info on how to use these resources. (Some resources are borrowed or adapted from other places - Credit where it's due)
Whole Number & Decimal - Lesson 2 - Powers of 10
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Whole Number & Decimal - Lesson 2 - Powers of 10

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The ‘Why’: Why do we count in 10’s? This lesson builds on the understanding of Place value and includes a recap of this if the first place value lesson wasn’t used. When asking students, “Why do we count in tens?” the suggestions around the room are often “Because we do” or “Because that’s the system that makes sense”. Students are often surprised to learn that it is likely due to the convenience of having 10 fingers. Showing the pattern that leads to anything to the power of 1 and 0 also allows students to understand that this pattern goes on in both directions forever. Once there is a good understanding of negative powers of 10, a task framing the usefulness of this to Motorsport lap times is included as extension. There is also a short introduction to standard form which students often see on their calculators. Activities included: Pocket Money Starter The History of Number Systems Place Value Recap Counting in Tens Definition of Powers Multiplying by Powers of 10 Dividing by Powers of 10 Negative Powers Standard Form Motorsport
Whole Number & Decimal - Lesson 1 -  Place Value
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Whole Number & Decimal - Lesson 1 - Place Value

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The ‘Why’: Why do we use the current number system? Because Place value is taught to Primary students, many come in to lessons with a working understanding of ‘what’ place value is and ‘how’ it works. What is often not made clear, is the motivations behind it. The early part of this lesson gets students to understand that numbers (as we think of them today) are in fact symbols that represent a value and that many other systems existed before this. It then gets students to understand why it would be inconvenient to have a new symbol for every single number and how handy the positional notation system is. Some students will go on to ask “Why do we count in tens?” This leads nicely into talking about different bases and binary as extension. Activities included: Number Symbols from the past Counting systems throughout history Representing Number activity Design your own Number system Where our symbols came from The History of 10 Positional Notation activity Problem Solving Questions Different Bases Counting in Binary
Topic Intro - Year 7 - Unit 2 - FDP
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Topic Intro - Year 7 - Unit 2 - FDP

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Topic Intro designed to introduce Year 7 students to careers and real life uses of maths plus its place in their learning journey and other skills that they will be building on.