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Listed under:  Mathematics  >  Number (Mathematics)  >  Real numbers
Teacher resource

TIMES Module 28: Number and Algebra: the real numbers - teacher guide

This is a 31-page guide for teachers. It brings together many ideas concerning real numbers. Integers, rational numbers and irrational numbers are discussed.

Teacher resource

Surds

This teaching resource provides teachers with descriptions of the learning objectives they should be seeking as students develop their understanding of surds and their ability to perform exact calculations involving surds. The resource includes a developmental sequence of teaching strategies and ideas about surds, as well ...

Teacher resource

Rationalising surds

This teaching resource provides teachers of year 10 with descriptions of the learning objectives they should be seeking as students develop their understanding of surds and their ability to create equivalent fraction-like expressions involving surds and rationalise denominators of such expressions. The resource includes ...

Teacher resource

TIMES Module 32: Number and Algebra: fractions and the index laws in algebra - teacher guide

This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

Teacher resource

Subtracting negative numbers

This teaching resource provides teachers of year 7 with precise descriptions of the learning objectives they should be seeking as students learn to subtract negative numbers. Classroom activities and teaching strategies include a range of models to develop meaning and understanding of subtraction of negative numbers. This ...

Teacher resource

Investigating irrational numbers including pi

This is a website designed for both teachers and students that refers to irrational numbers including pi from the Australian Curriculum for year 8 students. It contains material on the real number system and explains how irrational numbers were introduced historically to this system. Information on constructing rational ...

Teacher resource

Counting and representing numbers 1–20

Explore counting familiar objects and representing numbers up to 20. Name, match, subitise, compare and order numbers to 20, then use these numbers in addition and subtraction. Relate number sentences to these operations in meaningful ways.

Teacher resource

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

Teacher resource

Number trains: patterns: assessment: teacher guide

Use this resource with 'Number trains: patterns: assessment' (L8275). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input and counting skills as demonstrated in the pathways presented to the student in the ...

Teacher resource

Number trains: counting on: assessment: teacher guide

Use this resource with 'Number trains: counting on: assessment' (L8276). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input related to counting forwards and backwards from a given number. Included are information ...

Teacher resource

TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

Teacher resource

TIMES Module 15: Measurement and Geometry: Pythagoras's theorem - teacher guide

This is a 24-page guide for teachers. It contains proofs of Pythagoras's theorem and its converse, applications of Pythagoras's theorem and a discussion of Pythagorean triads. A history of Pythagoras's theorem concludes the module.

Teacher resource

TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

Teacher resource

TIMES Module 1: Number and Algebra: counting and place value - teacher guide

This is a 16-page guide for teachers. It is a module introducing the concept of place value.

Teacher resource

TIMES Module 15: Number and Algebra: the integers - teacher guide

This is a 24-page guide for teachers. The module introduces the integers, order of the integers and operations on the integers.

Teacher resource

TIMES Module 19: Number and Algebra: multiples, factors and powers - teacher guide

This is a 33-page guide for teachers. It introduces the concepts of primes, composites, prime factorisation, factors, multiples, odd and even numbers, the least common multiple and the highest common factor.

Teacher resource

TIMES Module 24: Number and Algebra: negatives and the index laws in algebra - teacher guide

This is a 19-page guide for teachers. It extends the use of pronumerals to include negative numbers. Algebraic notation is discussed. It includes substitution, adding like terms, the use of brackets, multiplying terms and using algebra to describe number patterns.

Teacher resource

TIMES Module 19: Number and Algebra: whole number arithmetic - teacher guide

This is a 17-page guide for teachers, a module that introduces addition of whole numbers.

Teacher resource

TIMES Module 27: Number and Algebra: surds - teacher guide

This is an 18-page guide for teachers. It introduces surds and discusses their application in mathematics.

Teacher resource

Starting Smart: what is next in the pattern? - years 6-8

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' understanding of patterns and sequences. Students: identify, describe and extend patterns; construct tables of values; plot graphs; and develop skills to describe algebraically the relationships ...