Section 1.1 Place value and ordering numbers Learning objectives • • •
Resources and homework
Use a number line to represent negative • numbers • Use inequalities with negative numbers Compare and order positive and negative numbers
Student Book 1.1: pages 9–11 Practice Book 1.1
Making mathematical connections
Making cross-curricular connections
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Multiplying and dividing by powers of 10 Multiplying and dividing decimals
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Science – place value in calculations; ordering a set of results from an experiment Relevance – students must be able to understand these basic concepts
Prior learning •
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Students should know the size order of the words units, tens, hundreds, thousands, ten thousands, hundred thousands and million, and understand the relative values of the terms. Students could sort number cards into order as a test of this knowledge.
Working mathematically • •
Structure tasks so students can work out the methods for themselves, either by increasing the difficulty incrementally or through one straightforward and one complex example. Ask students to describe a set of numbers using inequalities.
Common misconceptions and remediation • •
Students may find it difficult to identify and say very large numbers, particularly those that include zeros, for example: 70 403. (Seventy thousand, four hundred and three) Students will sometimes confuse inequality signs. Encourage them to remember: The crocodile eats the largest number. Or, students may prefer to remember that the arrow points to the smaller number.
Probing questions • • •
How would you order this set of numbers? Is –9 bigger or smaller than –2? How do you know that one number is bigger than another?
Literacy focus • •
Key terms: digit, positive, inequality, place value, negative Ask students to write some of the larger numbers in Exercise 1A in words.
Part 1 • •
Remind students that numbers can carry on to infinity – however large a number they think of, they can always add one more. It is the number and order of digits in a number, not the value of the individual digits, which determines the size of a number. Hold up some digit cards. Shuffle them and place them AQA GCSE Maths Foundation Teacher Pack – Chapter 1
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