M1Maths

Modules - 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.

Modules:   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.

Whole Numbers

• whole numbers to trillions

• the terms: whole number, counting number, multiple, factor, even, odd, composite, prime, >, <

• divisibility rules, products of prime factors

Fraction Meanings

• understanding common fractions, decimal fractions and percentages

Fraction Conversions

• converting between equivalent common fractions, between mixed numbers and improper fractions and between common fractions, decimal fractions and percentages

Fraction Conversions

Alternative 'Learn' Section: Learning by Thinking

Negatives

• understanding negative numbers and placing them on a number line

Calculators

• using calculators to add, subtract, multiply and divide whole numbers, decimal fractions, common fractions and negative numbers

Powers

• whole number powers and square roots

• expressing counting numbers as products of prime factors in power form

Order of Operations

• order of operations conventions

Common Fraction Operations 1

• mental methods to perform simple operations on common fractions

• approximation to perform more difficult operations

Decimal Operations 1

• exact and approximate mental/written methods to add and subtract whole numbers and decimal fractions and multiply and divide whole numbers

Rounding and Approximation

• rounding of numbers

• approximate calculations

Modules:   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.

Number Sets

• the various sets of numbers

Fractions of Numbers

• finding fractions (common, decimal and percent) of numbers

• adding and subtracting percentages to/from numbers, including by multiplying

Rates

• rates

Ratios

• ratios

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

Negative Operations

• mental/written methods to perform operations on positive and negative numbers

Common Fraction Operations 2

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

Modules:   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.

Scientific Notation

• scientific notation

Simple Interest

• simple interest

Simple Interest

Alternative 'Learn' Section: Learning by Thinking

Proportion

• direct proportion

• inverse proportion

Modules:   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.

Compound Interest

• compound interest

Compound Interest

Alternative 'Learn' Section: Learning by Thinking

Modules:   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.

Simplifying Surds

• simplifying expressions containing surds

Modules:   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.

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

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

Matrices

• types of matrix

• matrix operations

• applications of matrices

Background image: https://pixabay.com/illustrations/beach-background-sea-ocean-3892386/ (cropped) (Creative Commons licence)