number and quantity

This lesson unit is intended to help you assess how well students are able to:

• Interpret a situation and represent the constraints and variables mathematically.
• Select appropriate mathematical methods to use.
• Make sensible estimates and assumptions.
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This lesson unit is intended to help you assess how well students reason about the properties of rational and irrational numbers. In particular, it aims to help you identify and assist students who have difficulty:

• Finding irrational and rational numbers to exemplify general
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This lesson unit is intended to help you assess how well students are able to:

• Use the properties of exponents, including rational exponents and manipulate algebraic statements involving radicals.
• Discriminate between equations and identities.

In this lesson...

This lesson unit is intended to help you assess how well students are able to distinguish between rational and irrational numbers. In particular, it aims to help you identify and assist students who have difficulties in:

• Classifying numbers as rational or irrational.
• Moving
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This lesson unit is intended to help you assess how well students are able to:

• Translate between decimal and fraction notation, particularly when the decimals are repeating.
• Create and solve simple linear equations to find the fractional equivalent of a repeating decimal.
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This lesson unit is intended to help you assess how well students are able to:

• Estimate lengths of everyday objects.
• Convert between decimal and scientific notation.
• Make comparisons of the size of numbers expressed in both decimal and scientific notation.

This lesson unit is intended to help you assess how well students are able to:

• Recall and use the properties of exponents to generate equivalent numeric expressions.
• Identify the appropriate property to use and apply it correctly.
• Check the numerical value of an
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This lesson unit is intended to help you assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular...

This lesson unit is intended to help you assess how well students are able to interpret percent increase and decrease and in particular, to identify and help students who have the following difficulties:

• Translating between percents, decimals, and fractions.
• Representing
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This lesson unit is intended to help students to make sense of standard algorithms for addition, subtraction, multiplication, and division of positive integers. In particular it should assist them in the following areas:

• Improving conceptual understanding of why and how the
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This lesson unit is intended to help students to:

• Compare, convert between and order fractions, decimals, and percents.
• Use area and linear models of fractions, decimals, and percents to understand equivalence.

This lesson unit is intended to help you assess how well students are able to solve real-life mathematical problems. In particular, students will develop their abilities in the following areas:

• Using proportional relationships to solve multistep ratio and percent problems.
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This lesson unit is designed to help students to interpret the meaning of multiplication and division. Many students have a very limited understanding of these operations and only recognise them in terms of ‘times’ and ‘share’. They find it hard to give any meaning to calculations that involve...

This lesson unit is intended to help you to assess how well students are able to understand the meanings of the terms ‘Greatest Common Factor’ (GCF) and ‘Least Common Multiple’ (LCM). In particular, the lesson will help you to identify and help students who:

• Confuse GCFs and LCMs.
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