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# Number

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

The Number strand is treated in a fairly conventional way. The emphasis is on students developing number sense and a range of methods and short cuts for computation.

Visual conception of fractions is promoted before symbolic manipulation. The visual approach is more amenable to students developing their own methods and short cuts and, once concepts have been gained, they are less likely to be forgotten.

 N1:     Number - Level 1 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 1 modules.
N1-1 pdf     docx

## Whole Numbers

• whole numbers to trillions
• the terms: whole number, counting number, multiple, factor, even, odd, composite, prime, >, <
• divisibility rules, products of prime factors
4 h
N1-2 pdf     docx

## Fraction Meanings

• understanding common fractions, decimal fractions and percentages
3 h
N1-3 pdf     docx

## Fraction Conversions

• converting between equivalent common fractions, between mixed numbers and improper fractions and between common fractions, decimal fractions and percentages
3 h N1-2
N1-3 pdf     docx

## Fraction Conversions

Alternative 'Learn' Section: Learning by Thinking

4 h N1-2
N1-4 pdf     docx

## Negatives

• understanding negative numbers and placing them on a number line
1 h
N1-5 pdf     docx

## Calculators

• using calculators to add, subtract, multiply and divide whole numbers, decimal fractions, common fractions and negative numbers
1 h N1-3 N1-4
N1-6 pdf     docx

## Powers

• whole number powers and square roots
• expressing counting numbers as products of prime factors in power form
2 h N1-1 N1-5
N1-7 pdf     docx

## Order of Operations

• order of operations conventions
3 h
N1-8 pdf     docx

## Common Fraction Operations 1

• mental methods to perform simple operations on common fractions
• approximation to perform more difficult operations
2 h N1-3
N1-9 pdf     docx

## Decimal Operations 1

• exact and approximate mental/written methods to add and subtract whole numbers and decimal fractions and multiply and divide whole numbers
3 h N1-3
N1-10 pdf     docx

## Rounding and Approximation

• rounding of numbers
• approximate calculations
3 h N1-5 N1-9

 N2:     Number - Level 2 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 2 modules.
N2-1 pdf     docx

## Number Sets

• the various sets of numbers
2 h
N2-2 pdf     docx

## Fractions of Numbers

• finding fractions (common, decimal and percent) of numbers
• adding and subtracting percentages to/from numbers, including by multiplying
2 h
N2-3 pdf     docx

## Rates

• rates
4 h
N2-4 pdf     docx

## Ratios

• ratios
2 h N2-3
N2-5 pdf     docx

## Decimal Operations 2

• exact and approximate mental/written methods to multiply and divide whole numbers and decimal fractions
• predicting when decimal fractions will terminate, recur and continue without recurrence
3 h N2-2
N2-6 pdf     docx

## Negative Operations

• mental/written methods to perform operations on positive and negative numbers
3 h
N2-7 pdf     docx

## Common Fraction Operations 2

• mental/written methods to add, subtract, multiply and divide common fractions
3 h

 N3:     Number - Level 3 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 3 modules.
N3-1 pdf     docx

## Scientific Notation

• scientific notation
2 h
N3-2 pdf     docx

## Simple Interest

• simple interest
3 h
N3-2 pdf     docx

## Simple Interest

Alternative 'Learn' Section: Learning by Thinking

5 h
N3-3 pdf     docx

## Proportion

• direct proportion
• inverse proportion
2 h

 N4:     Number - Level 4 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 4 modules.
N4-1 pdf     docx

## Compound Interest

• compound interest
3 h
N4-1 pdf     docx

## Compound Interest

Alternative 'Learn' Section: Learning by Thinking

4 h

 N5:     Number - Level 5 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 5 modules.
N5-1 pdf     docx

## Simplifying Surds

• simplifying expressions containing surds
2 h A5-2

 N6:     Number - Level 6 Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 6 modules.
N6-1 pdf     docx

## Complex Numbers

• plotting complex numbers on an Argand diagram
• converting between Cartesian, polar and exponential form
• adding, subtracting, multiplying and dividing complex numbers and finding powers and roots
• application of complex numbers to trigonometric identities and fractals
9 h
N6-2 pdf     docx

## Vectors

• scalars and geometric vectors in 2 and 3 dimensions
• addition, subtraction, multiplication by a scalar
• scalar and vector products
• applications of geometric vectors
• storage vectors
10 h
N6-3 pdf     docx

## Matrices

• types of matrix
• matrix operations
• applications of matrices
5 h

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