MAAP: Maps, Coordinates & Networks

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 use, go for it, but please send out a description because we may want to use it as well. Year 8 Maths : Topic plan for 2014:

The timing is approximately correct however we can modify Year 8 2014: DRAFT TOPIC PLAN that as we work through each term: The set plan is an indication of the teaching and learning Head start 2014 program for 2014. Ratio’s and rates 8 lessons There are a substantial number of investigative tasks available Semester One, Term One: for you to use as part of the program however you are 1. Integers 5 lessons encouraged to use good quality investigations of your own. 2. Real numbers 8 lessons 3. Index laws 8 lessons 4. Applications of Percentages(Hol h/work) 5 Lessons WEB BASED RESOURCES AVAILABLE FOR YOU TO USE IN CONJUNCTION WITH THE SET PLANS Semester One, Term Two HOTMATHS.COM.AU: This site has many good explanations, 5. Algebra 8 lessons worksheets and widgets that can be used for investigations and 6. Linear equations 8 Lessons developing student understanding. 7. Measurement 7 Lessons Holiday homework: Coordinate geometry basics MATHS 300: This site contains many deep investigations that will help students to develop insight. Useful for developing a lesson Semester Two, Term One plan to replace some of the general type of lesson plans listed. 8. Coordinates & linear graphs 6 Lessons 9. Congruence & transformations 5 Lessons MATHSONLINE: This is a site that will help students to learn topic details. A very useful site. Semester Two, Term Two 10. Representing & interpreting data 6 Lessons SUGGESTED PROGRAM MANAGEMENT: The program is designed 11. Probability 9 Lessons. around the number of lessons planned. Student homework should 12. Ratio & rates 7 Lessons be used to keep up with the teacher program. This can be varied in negotiations between teacher and student to meet the students’ Head start: needs to have a self-paced program. Any discussions in this area must involve parent discussion also. 2015: 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 Year 8 topic plans YEAR 8 MATHEMATICS Maps, coordinates & networks Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning w/s 7-1 Ex 7A w/s 7-2 w/s 7-3 1 Map References P212 Lesson 1 Investigation/Presentation Q1 to Ex 7A Q1 to Q10 Ex 7A Q1 to Q10 Q8 w/s 7-4 Ex 7B w/s 7-5 w/s 7-6 2 Maps & Scales P218 Lesson 2 Investigation/Presentation Q1 to Ex 7B Q1 to Q6 Ex 7B Q1 to Q7 Q4 w/s 7-7 Ex 7C w/s 7-8 w/s 7-9 3 Contour & weather maps P220 Lesson 3 Investigation/Presentation Q1 to Ex 7C Q1 to Q7 Ex 7C Q1 to Q9 Q5 w/s 7- 10 w/s 7-11 w/s 7-12 4 Networks & maps P224 Lesson 4 Investigation/Presentation Ex 7D Ex 7D Q1 to Q5 Ex 7D Q1 to Q6 Q1 to Q4 5 Test revision P235

6 Test Year 8 Mathematics – Number & Algebra strand –Number & place value YEAR 8 MATHEMATICS Integers Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations/Presentations Fluency Understanding Reasoning Revise Real Numbers Manage homework book Ex 2A Ex 2A Ex 2A 1 Adding & subtracting integers P33 Directed numbers interactivity (0040) Task Y8 2A-1 Task Y8 2A-2 Task Y8 2A-3 Directed number target (0074) Revise Real Numbers Ex 2B Ex 2B Ex 2B 2 Multiplying integers P37 Manage homework book Task Y8 2B-1 Task Y8 2B-2 Task Y8 2B-3 Revise Real Numbers Ex 2C Ex 2C Ex 2C 3 Dividing integers P40 Manage homework book Task Y8 2C-1 Task Y8 2C-2 Task Y8 2C-3 Revise Real Numbers Ex 2D Ex 2D Ex 2D 3 Combined operations on integers P42 Manage homework book Task Y8 2D-1 Task Y8 2D-2 Task Y8 2D-3 Revise Real Numbers Q1 to Q2 P 4 Problem solving Q3 & 4 P 46 Q5 to 7 P 47 Manage homework book 46 Word search Revise Real Numbers Crossword interactive Test yourself interactive 5 Chapter review Interactive Manage homework book (2620) (2750) (26190) 6 Test Year 8 Mathematics – Number & Algebra strand – Number & place value YEAR 8 MATHEMATICS Index laws Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning Lesson1 Ex 3A Fluency Ex 3A Understanding Ex 3A Reasoning 1 Review of Index form P51 Investigation/Presentation Task Y8 3A-1 Task Y8 3A-2 Task Y8 3A-3 Lesson 2 Ex 3B Fluency Ex 3B Understanding Ex 3B Reasoning 2 First index law P53 Investigation/Presentation Task Y8 3B-1 Task Y8 3B-2 Task Y8 3B-3 Lesson 3 Ex 3C Fluency Ex 3C Understanding Ex 3C Reasoning 3 Second index law P56 Investigation/Presentation Task Y8 3C-1 Task Y8 3C-2 Task Y8 3C-3 Lesson 4 Ex 3D Fluency Ex 3D Understanding Ex 3D Reasoning 4 Third index law P59 Investigation/Presentation Task Y8 3D-1 Task Y8 3D-2 Task Y8 3D-3 Lesson 5 Ex 3E Fluency Ex 3E Understanding Ex 3E Reasoning 5 Fourth index law P62 Investigation/Presentation Task Y8 3E-1 Task Y8 3E-2 Task Y8 3E-3 Lesson 6 6 Problem solving Investigation/presentation 7 Chapter review & test Year 8 Mathematics – Number & Algebra strand – Real numbers YEAR 8 MATHEMATICS Real numbers Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning

Lesson1 Ex 4A Fluency Ex 4A Understanding Ex 4A Reasoning 1 Addition & subtraction of fractions P75 Investigation/Presentatio Task 4A-1 Task Y8 4A-2 Task Y8 4A-3 n Lesson 2 Ex 4B Fluency Ex 4B Understanding Ex 4B Reasoning 2 Multiplication & division of fractions P81 Investigation/Presentatio Task Y8 4B-1 Task Y8 4B-2 Task Y8 4B-3 n Lesson 3 Ex 4C Fluency Ex 4C Understanding Ex 4C Reasoning 3 Terminating & recurring decimals P85 Investigation/Presentatio Task Y8 4C-1 Task Y8 4C-2 Task Y8 4C-3 n Lesson 4 Ex 4D Fluency Ex 4D Understanding Ex 4D Reasoning 4 Addition & subtraction of decimals P88 Investigation/Presentatio Task Y8 4D-1 Task Y8 4D-2 Task Y8 4D-3 n Lesson 5 Ex 4E Fluency Ex 4E Understanding Ex 4E Reasoning 5 Multiplication & division of decimals P91 Investigation/Presentatio Task Y8 4E-1 Task Y8 4E-2 Task Y8 4E-3 n Lesson6 Ex 4F Fluency Ex 4F Understanding Ex 4F Reasoning 6 Percentages, fractions & decimals P95 Investigation/Presentatio Task Y8 4F-1 Task Y8 4F-2 Task Y8 4F-3 n Lesson 7 Ex 4G Fluency Ex 4G Understanding Ex 4G Reasoning 7 Estimation P98 Investigation/Presentatio Task Y8 4G-1 Task Y8 4G-2 Task Y8 4G-3 n 8 Problem solving Lesson 8 Investigation/Presentatio n

9 Chapter review & test Year 8 Mathematics – Number & Algebra strand – Real numbers YEAR 7 MATHEMATICS Holiday homework APPLICATIONS OF PERCENTAGES NUMBERS using www.mymathsonline.com.au & Jacplus.cpm.au

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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 mymathsonline

5 Change as a percentage mymathsonline Mymathsonline topic 6 Test yourself tests Year 8 Mathematics – Number & Algebra strand – Real numbers YEAR 8 MATHEMATICS Ratio Support materials & assessment are available at www.mymathsonline.com.au Investigations/Presentatio Lesson Aim Fluency Understanding Reasoning ns Investigation: Learn how to use your homework Ex 5A Ex 5A Ex 5A 1 Introduction to ratios P113 book Task Y8 5A-1 Task Y8 5A-2 Task Y8 5A-3 Student learning Revise number skills Investigation: Homework sheet 5.1 Ex 5B Ex 5B Ex 5B 2 Simplifying ratios P116 Interactivity: Fruit, salad, Task Y8 5B-1 Task Y8 5B-2 Task Y8 5B-3 ratio (0076) Revise number skills Investigation: Homework sheet 5.1 Interactivity Converting Ex 5C Ex 5C Ex 5C 3 Proportion P 120 per cent, decimals, Task Y8 5C-1 Task Y8 5C-2 Task Y8 5C-3 fractions, ratios (2740) Revise number skills Investigation 5.3 The Ex 5D Ex 5D Ex 5D 4 Comparing ratios P124 golden ratio Task Y8 5D-1 Task Y8 5D-2 Task Y8 5D-3 Revise number skills Investigation 5.3 The Ex 5E Ex 5E Ex 5E 5 Dividing in a given ratio P126 golden ratio Task Y8 5E-1 Task Y8 5E-2 Task Y8 5E-3 Revise number skills Investigation: Homework Ex 5E Ex 5F 6 24 hour time and world time zones sheet 5.2 Ex 5E Task Y8 5E-1 Task Y8 5E-2 Task Y8 5F-3 Revise number skills 7 Chapter review Investigation: Code Interactivity word search Interactivity crossword Interactivity Test puzzle 5.4/5.5 (2623) (2624) yourself (2364) Revise number skills

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

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Lesson Aim Investigations Fluency Understanding Reasoning mymathsonline lesson and 1 Introduction to ratios P113 homework Mymathsonline lesson and 2 Simplifying ratios P116 homework Mymathsonline lesson and 3 Proportion P 120 homework Mymathsonline lesson and 4 Comparing ratios P124 homework Mymathsonline lesson and 5 Dividing in a given ratio P126 homework Mymathsonline lesson and 6 Rates P120 homework Chapter review 7 Jacplus Readiness task Jacplus Progression task Jacplus Topic Test Test Year 8 Mathematics – Number & Algebra strand – Money & financial mathematics YEAR 8 MATHEMATICS Applications of percentages Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning Lesson 1 Ex 6A Fluency Ex 6A Understanding Ex 6A Reasoning 1 Common percentages & short cuts P139 Investigation/Presentation Task Y8 6A-1 Task Y8 6A-2 Task Y8 6A-3 Lesson 2 Ex 6B Fluency Ex 6B Understanding Ex 6B Reasoning 2 Discount P143 Investigation/Presentation Task Y8 6B-1 Task Y8 6B-2 Task Y8 6B-3 Lesson 3 Ex 6C Fluency Ex 6C Understanding Ex 6C Reasoning 3 Profit & loss P 148 Investigation/Presentation Task Y8 6C-1 Task Y8 6C-2 Task Y8 6C-3 Lesson 4 4 Chapter review Investigation/Presentation 5 Test

Year 8 Mathematics -Measurement & Geometry strand – Geometric reasoning YEAR 8 MATHEMATICS Congruence & Transformations Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning Ex 7A Ex 7A Fluency Ex 7A Reasoning 1 Congruent figures P160 Lesson 1 Investigation/Presentation Understanding Task Y8 7A-1 Task 7A-3 Task Y8 7A-2 Ex 7B Ex 7B Fluency Ex 7B Reasoning 2 Triangle constructions P163 Lesson 2 Investigation/Presentation Understanding Task Y8 7B-1 Task 7B-3 Task Y8 7B-2 Ex 7C Ex 7C Fluency Ex 7C Reasoning 3 Congruent triangles p166 Lesson 3 Investigation/Presentation Understanding TaskCY8 7C-1 Task 7C-3 Task Y8 7C-2 Ex 7D Ex 7D Fluency Ex 7D Reasoning 4 Quadrilaterals P171 Lesson 4 Investigation/Presentation Understanding Task Y8 7D-1 Task 7D-3 Task Y8 7D-2 5 Chapter review & test

Year 8 Mathematics – Number & Algebra strand – Patterns & Algebra YEAR 8 MATHEMATICS Algebra Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning Ex 8A Fluency Ex 8A Understanding Ex 8A Reasoning 1 Using variables Lesson1 Investigation/Presentation Task Y8 8A-1 Task Y8 8A-2 Task Y8 8A-3 Ex 8B Fluency Ex 8B Understanding Ex 8B Reasoning 1 Substitution P187 Lesson 2 Investigation/Presentation Task Y8 8B-1 Task Y8 8B-2 Task Y8 8B-3 Ex 8C Fluency Ex 8C Understanding Ex 8C Reasoning 2 Working with brackets P189 Lesson 3 Investigation/Presentation Task Y8 8C-1 Task Y8 8C-2 Task Y8 8C-3 Substituting positive & negative numbers Ex 8D Fluency Ex 8D Understanding Ex 8D Reasoning 2 Lesson 4 Investigation/Presentation P191 Task Y8 8D-1 Task Y8 8D-2 Task Y8 8D-3 Ex 8E Fluency Ex 8E Understanding Ex 8E Reasoning 3 Number laws & variables P 193 Lesson 5 Investigation/Presentation Task Y8 8E-1 Task Y8 8E-2 Task Y8 8E-3 Ex 8F Fluency Ex 8F Understanding Ex 8F Reasoning 4 Simplifying expressions P199 Lesson6 Investigation/Presentation Task Y8 8F-1 Task Y8 8F-2 Task Y8 8F-3 Multiplying & dividing expressions with Ex 8G Fluency Ex 8G Understanding Ex 8G Reasoning 5 Lesson 7 Investigation/Presentation variables P201 Task Y8 8G-1 Task Y8 8G-2 Task Y8 8G-3 Ex 8H Fluency Ex 8H Understanding Ex 8H Reasoning 6 Expanding brackets P205 Lesson 8 Investigation/Presentation Task Y8 8H-1 Task Y8 8H-2 Task Y8 8H-3 Ex 8I Fluency Ex 8I Understanding Ex 8I Reasoning 7 Factorising P208 Lesson9 Investigation/Presentation Task Y8 8I-1 Task Y8 8I-2 Task Y8 8I-3 8 Problem solving Lesson 10 Investigation/Presentation

9 Chapter review & test

Year 8 Mathematics – Number & Algebra strand – Units of measurement YEAR 8 MATHEMATICS Measurement Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning 1 Perimeter P241 Lesson 1 Ex 10A Fluency Ex 10A Understanding Ex 10A Reasoning Investigation/Presentatio Task 10A-1 Task Y8 10A-2 Task Y8 10A-3 n Lesson 2 Ex 10B Fluency Ex 10B Fluency Ex 10B Reasoning 2 Circumference P246 Investigation/Presentatio Task Y8 10B-1 Task Y8 10B-1 Task Y8 10B-3 n Lesson 3 Ex 10C Fluency Ex 10C Fluency Ex 10C Reasoning 3 Area of regular shapes P191 Investigation/Presentatio Task Y8 10C-1 Task Y8 10C-1 Task Y8 10C-3 n Lesson 4 Ex 10D Fluency Ex 10D Fluency Ex 10D Reasoning 4 Area of a circle P 258 Investigation/Presentatio Task Y8 10D-1 Task Y8 10D-1 Task Y8 10D-3 n Lesson 5 Ex 10E Fluency Ex 10E Fluency Ex 10E Reasoning 5 Area of trapeziums P262 Investigation/Presentatio Task Y8 10E-1 Task Y8 10E-1 Task Y8 10E-3 n Lesson 6 Ex 10F Fluency Ex 10F Fluency Ex 10F Reasoning 6 Volume of prisms & other solids P265 Investigation/Presentatio Task Y8 10F-1 Task Y8 10F-1 Task Y8 10F-3 n Lesson 7 Ex 10G Fluency Ex 10G Fluency Ex 10F Reasoning 7 Time P270 Investigation/Presentatio Task Y8 10G-1 Task Y8 10G-1 Task Y8 10F-3 n Lesson 8 Ex 10H Fluency Ex 10H Fluency Ex 10G Reasoning 8 24 hour clock & time zonesP275 Investigation/Presentatio Task Y8 10H-1 Task Y8 10H-1 Task Y8 10G-3 n Chapter review 9 Test

Year 8 Mathematics – Number & Algebra strand – Linear & non linear relationships YEAR 8 MATHEMATICS Linear equations Support materials & assessment are available at www.mymathsonline.com.au

Lesson Aim Investigations Fluency Understanding Reasoning Lesson 1 Ex 11A Fluency Ex 11A Understanding Ex 11A Reasoning 1 Identifying patterns P294 Investigation/Presentatio Task Y8 11A-1 Task Y8 11A-2 Task Y8 11A-3 n Lesson 2 investigation : Ex 11B Fluency Ex 11B Understanding Ex 11B Reasoning 2 Backtracking & inverse operations P298 Crossword puzzle Task Y8 11B-1 Task Y8 11B-2 Task Y8 11B-3 A formal approach Lesson 3 investigation: Ex 11C Fluency Ex 11C Understanding Ex 11C Reasoning 3 Keeping equations balanced P301 Keeping the balance Task Y8 11C-1 Task Y8 11C-2 Task Y8 11C-3 Lesson 4 investigation Ex 11D Fluency Ex 11D Understanding Ex 11D Reasoning 4 Using algebra to solve problems P303 Equations to solve Task Y8 11D-1 Task Y8 11D-2 Task Y8 11D-3 problems Equations with unknowns on both sides Lesson 5 investigation: Ex 11E Fluency Ex 11E Understanding Ex 11E Reasoning 5 P309 Keeping the balance Task Y8 11E-1 Task Y8 11E-2 Task Y8 11E-3 6 Chapter review & test

Year 8 Mathematics – Statistics & Probability strand - Data representation & interpretation YEAR 8 MATHEMATICS Representing and interpreting data Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning Ex 12A Fluency Ex 12A Understanding Ex 12A Reasoning 1 Samples & populations P321 Lesson 1 investigation Task Y8 12A-1 Task Y8 12A-2 Task Y8 12A-3 Ex 12B Fluency Ex 12B Understanding Ex 12B Reasoning 2 Organising & displaying data P328 Lesson 2 investigation Task Y8 12B-1 Task Y8 12B-2 Task Y8 12B-3 Ex 12C Fluency Ex 12C Understanding Ex 12C Reasoning 3 Measures of centre P337 Lesson 3 investigation Task Y8 12C-1 Task Y8 12C-2 Task Y8 12C-3 Ex 12D Fluency Ex 12D Understanding Ex 12D Reasoning 4 Measures of spread P343 Lesson 4 investigation Task Y8 12D-1 Task Y8 12D-2 Task Y8 12D-3 Ex 12E Fluency Ex 12E Understanding Ex 12E Reasoning 5 Analysing data P349 Lesson 5 investigation Task Y8 12E-1 Task Y8 12E-2 Task Y8 12E-3 Chapter review 6 Test

Year 8 Mathematics – Statistics & Probability strand - Chance YEAR 8 MATHEMATICS Probability Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning 1 Probability scale P367 Lesson 1 Investigation/PresentationEx 13A Fluency Ex 13A 13A Reasoning Task Y8 13A-1 Understanding Task Y8 13A-3 TaskY8 13A-2 Ex 13B Ex 13B Fluency 13B Reasoning 2 Experimental probability P370 Lesson 2 Investigation/Presentation Understanding Task Y8 13B-1 Task Y8 13B-3 Task Y8 13B-2 Ex 13C Sample spaces & theoretical Ex 13C Fluency 13C Reasoning 3 Lesson 3 Investigation/Presentation Understanding probability P376 Task Y8 13C-1 Task Y8 13C-3 Task Y8 13C-2 Ex 13D Ex 13D Fluency 13D Reasoning 4 Complementary events P383 Lesson 4 Investigation/Presentation Understanding Task Y8 13D-1 Task Y8 13D-3 Task Y8 13D-2 Ex 13E Ex 13E Fluency 13E Reasoning 5 Venn diagrams P 386 Lesson 5 Investigation/Presentation Understanding Task Y8 13E-1 Task Y8 13E-3 Task Y8 13E-2 Ex 13F Tree diagrams & two way tables Lesson 6 Ex 13F Fluency 13F Reasoning 6 Understanding P392 Investigation/Presentation Task Y8 13F-2 Task Y8 13A-3 Task Y8 13F-2 Chapter review www.mymathsonline.com.au 7 test Jacplus Assess on

Year 8 Mathematics – Number & Algebra strand – Linear & non linear relationships YEAR 8 MATHEMATICS Coordinates & linear graphs Support materials & assessment are available at www.mymathsonline.com.au Lesson Aim Investigations Fluency Understanding Reasoning Lesson 1 Ex 14A Fluency Ex 14A Understanding Ex 14A Reasoning 1 The Cartesian plane P407 Investigation/Presentation Task Y8 14A-1 Task Y8 14A-2 Task Y8 14A-3 Lesson 2 Ex 14B Fluency Ex 14B Understanding Ex 14B Reasoning 2 Linear patterns P410 Investigation/Presentation Task Y8 14B-1 Task Y8 14B-2 Task Y8 14B-3 Lesson 3 Ex 14C Fluency Ex 14C Understanding Ex 14C Reasoning 3 Plotting linear graphs P412 Investigation/Presentation Task Y8 14C-1 Task Y8 14C-2 Task Y8 14C-3 Lesson 4 Ex 14D Fluency Ex 14D Understanding Ex 14D Reasoning 4 Extension: The y- intercept & gradient P417 Investigation/Presentation Task Y8 14D-1 Task Y8 14D-2 Task Y8 14D-3 Lesson 5 Ex 14E Fluency Ex 14E Understanding Ex 14E Reasoning 5 Extension: Sketching linear graphs P425 Investigation/Presentation Task Y8 14E-1 Task Y8 14E-2 Task Y8 14E-3 6 Chapter review &test