YEAR 8 2014: TOPIC PLANS SET OUT IN MATHS QUEST SEQUENCE AND EACH TOPIC IS SET OUT IN FULL.

MAAP: MAPS, COORDINATES & NETWORKS TOPIC 1: INTEGERS TOPIC 3: INDEX LAWS TOPIC 4: REAL NUMBERS TOPIC 5: RATIO & RATES TOPIC 6: APPLICATIONS OF PERCENTAGES TOPIC 7: CONGRUENCE & TRANSFORMATIONS TOPIC 8: ALGEBRA TOPIC 9: MEASUREMENT TOPIC 10: LINEAR EQUATIONS TOPIC 11: REPRESENTING & INTERPRETING DATA TOPIC 12: PROBABILITY TOPIC 13: COORDINATES & LINEAR GRAPHS

Year 8 Maths : Topic plan for 2014:The timing is approximately correct however we can modify that as we work through each term: The set plan is an indication of the teaching and learning program for 2014.There are a substantial number of investigative tasks available for you to use as part of the program however you are encouraged to use good quality investigations of your own. WEB BASED RESOURCES AVAILABLE FOR YOU TO USE IN CONJUNCTION WITH THE SET PLANSHOTMATHS.COM.AU: This site has many good explanations, worksheets and widgets that can be used for investigations and developing student understanding.

MATHS 300: This site contains many deep investigations that will help students to develop insight. Useful for developing a lesson plan to replace some of the general type of lesson plans listed.

MATHSONLINE: This is a site that will help students to learn topic details. A very useful site.

SUGGESTED PROGRAM MANAGEMENT: The program is designed around the number of lessons planned. Student homework should be used to keep up with the teacher program. This can be varied in negotiations between teacher and student to meet the students’ needs to have a self-paced program. Any discussions in this area must involve parent discussion also.Each lesson should include a limited investigation, (around 10 minutes) that involves discussion. There are plenty of

materials supplied to you however if you have material that you would rather use, go for it, but please send out a description because we may want to use it as well.

Year 8 2014: DRAFT TOPIC PLAN

Head start 2014Ratio’s and rates 8 lessons

Semester One, Term One:1. Integers 5 lessons2. Real numbers 8 lessons3. Index laws 8 lessons4. Applications of Percentages(Hol h/work) 5 Lessons

Semester One, Term Two5. Algebra 8 lessons6. Linear equations 8 Lessons7. Measurement 7 Lessons Holiday homework: Coordinate geometry basics

Semester Two, Term One8. Coordinates & linear graphs 6 Lessons9. Congruence & transformations 5 Lessons

Semester Two, Term Two10. Representing & interpreting data 6 Lessons11. Probability 9 Lessons. 12. Ratio & rates 7 Lessons

Head start: 2015:

Year 8 topic plansYEAR 8 MATHEMATICS Maps, coordinates & networks

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Map References P212 Lesson 1 Investigation/Presentation w/s 7-1Ex 7A Q1 to Q8

w/s 7-2Ex 7A Q1 to Q10

w/s 7-3Ex 7A Q1 to Q10

2 Maps & Scales P218 Lesson 2 Investigation/Presentation w/s 7-4Ex 7B Q1 to Q4

w/s 7-5Ex 7B Q1 to Q6

w/s 7-6Ex 7B Q1 to Q7

3 Contour & weather maps P220 Lesson 3 Investigation/Presentation w/s 7-7Ex 7C Q1 to Q5

w/s 7-8Ex 7C Q1 to Q7

w/s 7-9Ex 7C Q1 to Q9

4 Networks & maps P224 Lesson 4 Investigation/Presentation w/s 7-10Ex 7D Q1 to Q4

w/s 7-11Ex 7D Q1 to Q5

w/s 7-12Ex 7D Q1 to Q6

5 Test revision P2356 Test

Year 8 Mathematics – Number & Algebra strand –Number & place valueYEAR 8 MATHEMATICS Integers

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations/Presentations Fluency Understanding Reasoning

1 Adding & subtracting integers P33

Revise Real NumbersManage homework bookDirected numbers interactivity (0040)Directed number target (0074)

Ex 2ATask Y8 2A-1

Ex 2ATask Y8 2A-2

Ex 2ATask Y8 2A-3

2 Multiplying integers P37 Revise Real NumbersManage homework book

Ex 2BTask Y8 2B-1

Ex 2BTask Y8 2B-2

Ex 2BTask Y8 2B-3

3 Dividing integers P40 Revise Real NumbersManage homework book

Ex 2CTask Y8 2C-1

Ex 2CTask Y8 2C-2

Ex 2CTask Y8 2C-3

3 Combined operations on integers P42

Revise Real NumbersManage homework book

Ex 2DTask Y8 2D-1

Ex 2DTask Y8 2D-2

Ex 2DTask Y8 2D-3

4 Problem solving Revise Real NumbersManage homework book Q1 to Q2 P 46 Q3 & 4 P 46 Q5 to 7 P 47

5 Chapter review Revise Real NumbersManage homework book

Word search Interactive (26190)

Crossword interactive (2620)

Test yourself interactive (2750)

6 Test

Year 8 Mathematics – Number & Algebra strand – Number & place valueYEAR 8 MATHEMATICS Index laws

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Review of Index form P51 Lesson1 Investigation/Presentation Ex 3A FluencyTask Y8 3A-1

Ex 3A UnderstandingTask Y8 3A-2

Ex 3A ReasoningTask Y8 3A-3

2 First index law P53 Lesson 2 Investigation/Presentation Ex 3B FluencyTask Y8 3B-1

Ex 3B UnderstandingTask Y8 3B-2

Ex 3B ReasoningTask Y8 3B-3

3 Second index law P56 Lesson 3 Investigation/Presentation Ex 3C FluencyTask Y8 3C-1

Ex 3C UnderstandingTask Y8 3C-2

Ex 3C ReasoningTask Y8 3C-3

4 Third index law P59 Lesson 4 Investigation/Presentation Ex 3D FluencyTask Y8 3D-1

Ex 3D UnderstandingTask Y8 3D-2

Ex 3D ReasoningTask Y8 3D-3

5 Fourth index law P62 Lesson 5 Investigation/Presentation Ex 3E FluencyTask Y8 3E-1

Ex 3E UnderstandingTask Y8 3E-2

Ex 3E ReasoningTask Y8 3E-3

6 Problem solving Lesson 6 Investigation/presentation7 Chapter review & test

Year 8 Mathematics – Number & Algebra strand – Real numbersYEAR 8 MATHEMATICS Real numbers

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Addition & subtraction of fractions P75 Lesson1 Investigation/Presentation Ex 4A Fluency

Task 4A-1Ex 4A UnderstandingTask Y8 4A-2

Ex 4A ReasoningTask Y8 4A-3

2 Multiplication & division of fractions P81 Lesson 2 Investigation/Presentation Ex 4B Fluency

Task Y8 4B-1Ex 4B UnderstandingTask Y8 4B-2

Ex 4B ReasoningTask Y8 4B-3

3 Terminating & recurring decimals P85 Lesson 3 Investigation/Presentation Ex 4C Fluency

Task Y8 4C-1Ex 4C UnderstandingTask Y8 4C-2

Ex 4C ReasoningTask Y8 4C-3

4 Addition & subtraction of decimals P88 Lesson 4 Investigation/Presentation Ex 4D Fluency

Task Y8 4D-1Ex 4D UnderstandingTask Y8 4D-2

Ex 4D ReasoningTask Y8 4D-3

5 Multiplication & division of decimals P91 Lesson 5 Investigation/Presentation Ex 4E Fluency

Task Y8 4E-1Ex 4E UnderstandingTask Y8 4E-2

Ex 4E ReasoningTask Y8 4E-3

6 Percentages, fractions & decimals P95 Lesson6 Investigation/Presentation Ex 4F Fluency

Task Y8 4F-1Ex 4F UnderstandingTask Y8 4F-2

Ex 4F ReasoningTask Y8 4F-3

7 Estimation P98 Lesson 7 Investigation/Presentation Ex 4G FluencyTask Y8 4G-1

Ex 4G UnderstandingTask Y8 4G-2

Ex 4G ReasoningTask Y8 4G-3

8 Problem solving Lesson 8 Investigation/Presentation9 Chapter review & test

Year 8 Mathematics – Number & Algebra strand – Real numbersYEAR 7 MATHEMATICS Holiday homework APPLICATIONS OF PERCENTAGES NUMBERS using www.mymathsonline.com.au &

Jacplus.cpm.au

Name:_________________________________________ mymathsonline: My Login_____________ My Password______________

Jacplus : My Login_________________________ My Password_________________

Lesson Aim Investigations Fluency Understanding Reasoning

1 Percentages, fractions & decimals mymathsonline

2 Percentage as an amount 1 mymathsonline

3 Percentage as an amount 2 mymathsonline

4 Percentage change 2 mymathsonline5 Change as a percentage mymathsonline6 Test yourself  Mymathsonline topic tests

Year 8 Mathematics – Number & Algebra strand – Real numbersYEAR 8 MATHEMATICS Ratio

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations/Presentations Fluency Understanding Reasoning

1 Introduction to ratios P113

Investigation: Learn how to use your homework bookStudent learningRevise number skills

Ex 5ATask Y8 5A-1

Ex 5ATask Y8 5A-2

Ex 5ATask Y8 5A-3

2 Simplifying ratios P116Investigation: Homework sheet 5.1Interactivity: Fruit, salad, ratio (0076)Revise number skills

Ex 5BTask Y8 5B-1

Ex 5BTask Y8 5B-2

Ex 5BTask Y8 5B-3

3 Proportion P 120Investigation: Homework sheet 5.1Interactivity Converting per cent, decimals, fractions, ratios (2740)Revise number skills

Ex 5CTask Y8 5C-1

Ex 5CTask Y8 5C-2

Ex 5CTask Y8 5C-3

4 Comparing ratios P124 Investigation 5.3 The golden ratioRevise number skills

Ex 5DTask Y8 5D-1

Ex 5DTask Y8 5D-2

Ex 5DTask Y8 5D-3

5 Dividing in a given ratio P126

Investigation 5.3 The golden ratioRevise number skills

Ex 5ETask Y8 5E-1

Ex 5ETask Y8 5E-2

Ex 5ETask Y8 5E-3

6 24 hour time and world time zones

Investigation: Homework sheet 5.2Revise number skills

Ex 5E Task Y8 5E-1

Ex 5ETask Y8 5E-2

Ex 5FTask Y8 5F-3

7 Chapter review  Investigation: Code puzzle 5.4/5.5Revise number skills

 Interactivity word search (2623)

 Interactivity crossword (2624)

 Interactivity Test yourself (2364)

8 Test

Year 8 Mathematics – Number & Algebra strand – Real numbers Ratio & Rates Self learning homework taskYEAR 7 MATHEMATICS Holiday homework RATIO & RATES using www.mymathsonline.com.au & Jacplus.cpm.au

Name:_________________________________________ mymathsonline: My Login_____________ My Password______________

Jacplus : My Login_________________________ My Password_________________

Lesson Aim Investigations Fluency Understanding Reasoning

1 Introduction to ratios P113 mymathsonline lesson and homework

2 Simplifying ratios P116 Mymathsonline lesson and homework3 Proportion P 120 Mymathsonline lesson and homework4 Comparing ratios P124 Mymathsonline lesson and homework

5 Dividing in a given ratio P126 Mymathsonline lesson and homework

6 Rates P120 Mymathsonline lesson and homework

7 Chapter reviewTest

Jacplus Readiness task

Jacplus Progression task Jacplus Topic Test

Year 8 Mathematics – Number & Algebra strand – Money & financial mathematicsYEAR 8 MATHEMATICS Applications of percentages

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Common percentages & short cuts P139 Lesson 1 Investigation/Presentation Ex 6A Fluency

Task Y8 6A-1Ex 6A UnderstandingTask Y8 6A-2

Ex 6A ReasoningTask Y8 6A-3

2 Discount P143 Lesson 2 Investigation/Presentation Ex 6B FluencyTask Y8 6B-1

Ex 6B UnderstandingTask Y8 6B-2

Ex 6B ReasoningTask Y8 6B-3

3 Profit & loss P 148 Lesson 3 Investigation/Presentation Ex 6C FluencyTask Y8 6C-1

Ex 6C UnderstandingTask Y8 6C-2

Ex 6C ReasoningTask Y8 6C-3

4 Chapter review Lesson 4 Investigation/Presentation5 Test

Year 8 Mathematics -Measurement & Geometry strand – Geometric reasoningYEAR 8 MATHEMATICS Congruence & Transformations

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Congruent figures P160 Lesson 1 Investigation/Presentation Ex 7A Fluency

Task Y8 7A-1Ex 7A UnderstandingTask Y8 7A-2

Ex 7A ReasoningTask 7A-3

2 Triangle constructions P163 Lesson 2 Investigation/Presentation Ex 7B Fluency

Task Y8 7B-1Ex 7B UnderstandingTask Y8 7B-2

Ex 7B ReasoningTask 7B-3

3 Congruent triangles p166 Lesson 3 Investigation/Presentation Ex 7C Fluency

TaskCY8 7C-1Ex 7C UnderstandingTask Y8 7C-2

Ex 7C ReasoningTask 7C-3

4 Quadrilaterals P171 Lesson 4 Investigation/Presentation Ex 7D FluencyTask Y8 7D-1

Ex 7D UnderstandingTask Y8 7D-2

Ex 7D ReasoningTask 7D-3

5 Chapter review & test

Year 8 Mathematics – Number & Algebra strand – Patterns & AlgebraYEAR 8 MATHEMATICS Algebra

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Using variables Lesson1 Investigation/Presentation

Ex 8A FluencyTask Y8 8A-1

Ex 8A UnderstandingTask Y8 8A-2

Ex 8A ReasoningTask Y8 8A-3

1 Substitution P187 Lesson 2 Investigation/Presentation

Ex 8B FluencyTask Y8 8B-1

Ex 8B UnderstandingTask Y8 8B-2

Ex 8B ReasoningTask Y8 8B-3

2 Working with brackets P189 Lesson 3 Investigation/Presentation

Ex 8C FluencyTask Y8 8C-1

Ex 8C UnderstandingTask Y8 8C-2

Ex 8C ReasoningTask Y8 8C-3

2 Substituting positive & negative numbers P191

Lesson 4 Investigation/Presentation

Ex 8D FluencyTask Y8 8D-1

Ex 8D UnderstandingTask Y8 8D-2

Ex 8D ReasoningTask Y8 8D-3

3 Number laws & variables P 193 Lesson 5 Investigation/Presentation

Ex 8E FluencyTask Y8 8E-1

Ex 8E UnderstandingTask Y8 8E-2

Ex 8E ReasoningTask Y8 8E-3

4 Simplifying expressions P199 Lesson6 Investigation/Presentation

Ex 8F FluencyTask Y8 8F-1

Ex 8F UnderstandingTask Y8 8F-2

Ex 8F ReasoningTask Y8 8F-3

5 Multiplying & dividing expressions with variables P201

Lesson 7 Investigation/Presentation

Ex 8G FluencyTask Y8 8G-1

Ex 8G UnderstandingTask Y8 8G-2

Ex 8G ReasoningTask Y8 8G-3

6 Expanding brackets P205 Lesson 8 Investigation/Presentation

Ex 8H FluencyTask Y8 8H-1

Ex 8H UnderstandingTask Y8 8H-2

Ex 8H ReasoningTask Y8 8H-3

7 Factorising P208 Lesson9 Investigation/Presentation

Ex 8I FluencyTask Y8 8I-1

Ex 8I UnderstandingTask Y8 8I-2

Ex 8I ReasoningTask Y8 8I-3

8 Problem solving Lesson 10 Investigation/Presentation

9 Chapter review & test

Year 8 Mathematics – Number & Algebra strand – Units of measurementYEAR 8 MATHEMATICS Measurement

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Perimeter P241 Lesson 1 Investigation/Presentation Ex 10A FluencyTask 10A-1

Ex 10A UnderstandingTask Y8 10A-2

Ex 10A ReasoningTask Y8 10A-3

2 Circumference P246 Lesson 2 Investigation/Presentation Ex 10B FluencyTask Y8 10B-1

Ex 10B FluencyTask Y8 10B-1

Ex 10B ReasoningTask Y8 10B-3

3 Area of regular shapes P191 Lesson 3 Investigation/Presentation Ex 10C Fluency

Task Y8 10C-1Ex 10C FluencyTask Y8 10C-1

Ex 10C ReasoningTask Y8 10C-3

4 Area of a circle P 258 Lesson 4 Investigation/Presentation Ex 10D FluencyTask Y8 10D-1

Ex 10D FluencyTask Y8 10D-1

Ex 10D ReasoningTask Y8 10D-3

5 Area of trapeziums P262 Lesson 5 Investigation/Presentation Ex 10E FluencyTask Y8 10E-1

Ex 10E FluencyTask Y8 10E-1

Ex 10E ReasoningTask Y8 10E-3

6 Volume of prisms & other solids P265  Lesson 6 Investigation/Presentation Ex 10F Fluency

Task Y8 10F-1Ex 10F FluencyTask Y8 10F-1

Ex 10F ReasoningTask Y8 10F-3

7 Time P270  Lesson 7 Investigation/Presentation Ex 10G FluencyTask Y8 10G-1

Ex 10G FluencyTask Y8 10G-1

Ex 10F ReasoningTask Y8 10F-3

8 24 hour clock & time zonesP275  Lesson 8 Investigation/Presentation Ex 10H Fluency

Task Y8 10H-1Ex 10H FluencyTask Y8 10H-1

Ex 10G ReasoningTask Y8 10G-3

9 Chapter reviewTest

Year 8 Mathematics – Number & Algebra strand – Linear & non linear relationshipsYEAR 8 MATHEMATICS Linear equations

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Identifying patterns P294 Lesson 1 Investigation/Presentation Ex 11A Fluency

Task Y8 11A-1Ex 11A UnderstandingTask Y8 11A-2

Ex 11A ReasoningTask Y8 11A-3

2Backtracking & inverse operations P298

Lesson 2 investigation :Crossword puzzleA formal approach

Ex 11B FluencyTask Y8 11B-1

Ex 11B UnderstandingTask Y8 11B-2

Ex 11B ReasoningTask Y8 11B-3

3 Keeping equations balanced P301 Lesson 3 investigation: Keeping the balance Ex 11C Fluency

Task Y8 11C-1Ex 11C UnderstandingTask Y8 11C-2

Ex 11C ReasoningTask Y8 11C-3

4 Using algebra to solve problems P303

Lesson 4 investigation Equations to solve problems

Ex 11D FluencyTask Y8 11D-1

Ex 11D UnderstandingTask Y8 11D-2

Ex 11D ReasoningTask Y8 11D-3

5Equations with unknowns on both sides P309

Lesson 5 investigation: Keeping the balance Ex 11E FluencyTask Y8 11E-1

Ex 11E UnderstandingTask Y8 11E-2

Ex 11E ReasoningTask Y8 11E-3

6 Chapter review & test

Year 8 Mathematics – Statistics & Probability strand - Data representation & interpretationYEAR 8 MATHEMATICS Representing and interpreting data

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Samples & populations P321 Lesson 1 investigation Ex 12A FluencyTask Y8 12A-1

Ex 12A UnderstandingTask Y8 12A-2

Ex 12A ReasoningTask Y8 12A-3

2 Organising & displaying data P328 Lesson 2 investigation Ex 12B Fluency

Task Y8 12B-1Ex 12B UnderstandingTask Y8 12B-2

Ex 12B ReasoningTask Y8 12B-3

3 Measures of centre P337 Lesson 3 investigation Ex 12C FluencyTask Y8 12C-1

Ex 12C UnderstandingTask Y8 12C-2

Ex 12C ReasoningTask Y8 12C-3

4 Measures of spread P343 Lesson 4 investigation Ex 12D FluencyTask Y8 12D-1

Ex 12D Understanding

Ex 12D ReasoningTask Y8 12D-3

Task Y8 12D-2

5 Analysing data P349 Lesson 5 investigation Ex 12E FluencyTask Y8 12E-1

Ex 12E UnderstandingTask Y8 12E-2

Ex 12E ReasoningTask Y8 12E-3

6 Chapter reviewTest

Year 8 Mathematics – Statistics & Probability strand - ChanceYEAR 8 MATHEMATICS Probability

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 Probability scale P367 Lesson 1 Investigation/Presentation Ex 13A FluencyTask Y8 13A-1

Ex 13A UnderstandingTaskY8  13A-2

13A ReasoningTask Y8 13A-3

2 Experimental probability P370 Lesson 2 Investigation/Presentation Ex 13B FluencyTask Y8 13B-1

Ex 13B UnderstandingTask Y8 13B-2

13B ReasoningTask Y8 13B-3

3 Sample spaces & theoretical probability P376 Lesson 3 Investigation/Presentation Ex 13C Fluency

Task Y8 13C-1Ex 13C UnderstandingTask Y8 13C-2

13C ReasoningTask Y8 13C-3

4 Complementary events P383 Lesson 4 Investigation/Presentation Ex 13D FluencyTask Y8 13D-1

Ex 13D UnderstandingTask Y8 13D-2

13D ReasoningTask Y8 13D-3

5 Venn diagrams P 386 Lesson 5 Investigation/Presentation Ex 13E FluencyTask Y8 13E-1

Ex 13E UnderstandingTask Y8 13E-2

13E ReasoningTask Y8 13E-3

6 Tree diagrams & two way tables P392  Lesson 6 Investigation/Presentation Ex 13F Fluency

Task Y8 13F-2Ex 13F UnderstandingTask Y8 13F-2

13F ReasoningTask Y8 13A-3

7 Chapter reviewtest

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Year 8 Mathematics – Number & Algebra strand – Linear & non linear relationshipsYEAR 8 MATHEMATICS Coordinates & linear graphs

Support materials & assessment are available at www.mymathsonline.com.auLesson Aim Investigations Fluency Understanding Reasoning

1 The Cartesian plane P407 Lesson 1 Investigation/Presentation

Ex 14A FluencyTask Y8 14A-1

Ex 14A UnderstandingTask Y8 14A-2

Ex 14A ReasoningTask Y8 14A-3

2 Linear patterns P410  Lesson 2 Investigation/Presentation

Ex 14B FluencyTask Y8 14B-1

Ex 14B Understanding

Ex 14B ReasoningTask Y8 14B-3

Task Y8 14B-2

3 Plotting linear graphs P412  Lesson 3 Investigation/Presentation

Ex 14C FluencyTask Y8 14C-1

Ex 14C UnderstandingTask Y8 14C-2

Ex 14C ReasoningTask Y8 14C-3

4 Extension: The y- intercept & gradient P417

 Lesson 4 Investigation/Presentation

Ex 14D FluencyTask Y8 14D-1

Ex 14D UnderstandingTask Y8 14D-2

Ex 14D ReasoningTask Y8 14D-3

5 Extension: Sketching linear graphs P425

 Lesson 5 Investigation/Presentation

Ex 14E FluencyTask Y8 14E-1

Ex 14E UnderstandingTask Y8 14E-2

Ex 14E ReasoningTask Y8 14E-3

6 Chapter review &test