# Ten Times 10: Investigating the Rules | Years 1-4 | Australian Curriculum v9 Aligned

**Price:** $9.95 AUD
**Seller:** TeachBuySell Seller

**Year Levels:** year1, year2, year3, year4
**Subjects:** mathematics

## Description (seller-submitted)

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Ten Times 10 A Bounded Differentiated Problem Exploring Multiplication by 10 Years 1 to 4 What really happens when we multiply by 10? Ten Times 10 helps teachers develop students’ conceptual understanding of multiplication by 10 through mathematical investigation, reasoning, representation and proof. Rather than simply applying familiar rules such as “add a zero” or “move the decimal point”, students investigate mathematical claims, test examples, represent their thinking, and justify whether a rule is always true. Ten Times 10 is a hands-on bounded differentiated investigation that invites students to explore the structure and patterns of multiplication by 10 through purposeful investigation. A bounded differentiated investigation is a worthwhile mathematical experience with intentional supports, constraints and extensions that reveal student thinking. Rather than creating multiple tasks for different learners, all students engage with the same rich mathematical investigation while accessing it at an appropriate level of challenge. Using concrete materials, drawings, arrays, place-value representations, equations and mathematical language, learners investigate what happens when a number is multiplied by 10. Students explore the relationship between multiplication by 10 and place value, investigate one tenth and 10 × one tenth, and test whether common rules about multiplying by 10 are always true. As the learning progresses, students move beyond identifying patterns to proving mathematical ideas, justifying their reasoning and making generalisations across ×10, ×100, ×1,000 and ×10,000. Rather than providing another worksheet to practise multiplication by 10, this resource encourages students to think like mathematicians. Learners investigate whether mathematical rules are always true, communicate their reasoning, use evidence to support their conclusions, and deepen their conceptual understanding through purposeful discussion and problem-solving. The built-in suppo… [truncated]
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