extending the number line to include negative numbers.

represent addition and subtraction on a horizontal or vertical number line diagram.

comparing, ordering and completing patterns by using directed numbers

applying directed numbers to real-life situations

practising addition, subtraction, multiplication and division of directed numbers

applying BIDMAS to questions involving directed numbers

locating positive and negative numbers on a Cartesian plane.

Vocabulary: Additive Inverse The sum of a number and its additive inverse is zero. Integers- The set of whole numbers and their opposites {-3, -2, -1, 0, 1, 2, 3} Long Division- Standard procedure suitable for dividing simple or complex multi-digit numbers. It breaks down a division problem into a series of easier steps Natural Numbers The set of numbers {1, 2, 3, 4,…}. Natural numbers can also be called counting numbers Negative Numbers: The set of numbers less than zero. Opposite Numbers: Two different numbers that have the same absolute value. Example: 4 and -4 are opposite numbers because both have an absolute value of 4. Positive Numbers: The set of numbers greater than zero.

## 1. Directed Numbers (Positive and Negative)

http://www.mymathsonline.com.au/tasks/library/loadLesson.asp?title=decimals/recurringDecimalsEasy

Objectives

- extending the number line to include negative numbers.
- represent addition and subtraction on a horizontal or vertical number line diagram.
- comparing, ordering and completing patterns by using directed numbers
- applying directed numbers to real-life situations
- practising addition, subtraction, multiplication and division of directed numbers
- applying BIDMAS to questions involving directed numbers
- locating positive and negative numbers on a Cartesian plane.

Vocabulary:Additive Inverse

The sum of a number and its additive inverse is zero.

Integers

-The set of whole numbers and their opposites {-3, -2, -1, 0, 1, 2, 3}Long Division- Standard procedure suitable for dividing simple or complex multi-digit numbers. It breaks down a division problem into a series of easier steps

Natural Numbers

The set of numbers {1, 2, 3, 4,…}. Natural numbers can also be called counting numbers

Negative Numbers: The set of numbers less than zero.

Opposite Numbers: Two different numbers that have the same absolute value. Example: 4 and -4 are opposite numbers because both have an absolute value of 4.

Positive Numbers: The set of numbers greater than zero.

Ordering Integers:

http://www.primaryresources.co.uk/online/negnumorder.swf

Please complete the following tasks

http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i3/bk7_3i3.htm

http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i15/bk7_15i1.htm

http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i15/bk7_15i2.htm

Addition and Subtraction:

http://www.teacherlink.org/content/math/interactive/flash/IntegerCars/IntCars4_b.html

Play the directed numbers game at:

http://www.mathsisfun.com/numbers/casey-runner.html

http://nlvm.usu.edu/en/nav/frames_asid_122_g_3_t_1.html

BIDMAS

http://www.mangahigh.com/en_au/games/bidmasblaster

Revision Questions:

http://wps.pearsoned.com.au/mz8/92/23690/6064812.cw/index.html

Addition and Subtraction Revision

http://www.media.pearson.com.au/schools/cw/au_sch_coffey_mz8_1/dnd/1_add.html

http://www.media.pearson.com.au/schools/cw/au_sch_bull_mfvic8_1/dnd/8_add.html

http://nrich.maths.org/5864

Multiplication and Division

http://www.media.pearson.com.au/schools/cw/au_sch_coffey_mz8_1/dnd/1_mult.html

http://illuminations.nctm.org/ActivityDetail.aspx?ID=152

The following worksheets are recommended for revision:

Directed Numbers Worksheets.doc

More Challenging Questions:

http://nlvm.usu.edu/en/nav/frames_asid_122_g_4_t_1.html

Problem Solving Task

Spreadsheet tutorial

Chapter Review:

http://wps.prenhall.com/au_sch_bull_mfvic8_1/11/2969/760151.cw/index.html

Cartesian Coordinates

http://nrich.maths.org/content/id/6288/CopsAndRobbers.swf

http://www.math-play.com/Integers-Jeopardy/Integers-Jeopardy.html

The Spider Match Game:

http://www.mathplayground.com/ASB_SpiderMatchIntegers.html

http://www.arcademicskillbuilders.com/games/orbit-integers/orbit-integers.html