Maths Quest 10+10A Australian Curriculum Work Program

Transcription

1 Maths Quest 10+10A Australian Curriculum Work Program Chapter 1 Indices Content strand: Number and algebra Sub-strand: Patterns and algebra Australian Curriculum Content Strands Simplify algebraic products and quotients using index laws. understanding that the use of index notation is an efficient way of representing numbers and symbols and has many applications, particularly in science connecting different strategies for simplifying expressions with indices to illustrate the meaning of negative indices, expanding and simplifying results moving fluently between representations of numeric and algebraic terms with negative indices, and applying understanding of negative indices to calculations applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices Section Chapter opening What do you know? (page 1) Hungry brain activity Surds and fractional indices doc-5167 Readiness Test Chapter 1 Are you ready? (page 2) SkillSHEET 1.1 doc-5168 SkillSHEET 1.2 doc-5169 SkillSHEET 1.3 doc-5170 SkillSHEET 1.4 doc-5171 SkillSHEET 1.5 doc-5172 SkillSHEET 1.6 doc-5173

2 SkillSHEET 1.7 doc-5174 SkillSHEET 1.8 doc A Review of Index laws (page 3) Exercise 1A (page 5) Reflection (page 7) 1-A-1 Reviewing index operations doc-4948 (page 5) 1-A-2 Practising the index laws doc-4949 (page 5) 1-A-3 Applying the index laws doc-4950 (page 5) Book answers Progress Test 1A 1B Negative indices (page 7) Exercise 1B (page 10) Reflection (page 12) 1-B-1 Negative indices doc-4951 (page 10) 1-B-2 Harder negative indices doc-4952 (page 10) 1-B-3 Tricky negative indices doc-4953 (page 10) Interactivity Negative indices int-2777 Book answers Progress Test 1B 1C Fractional indices (page 12) Exercise 1C (page 14) Reflection (page 16) 1-C-1 Fractional indices doc-4954 (page 14) 1- C-2 Harder fractional indices doc-4955 (page 14) 1- C-3 Tricky fractional indices doc-4956 (page 14) Book answers Progress Test 1C SkillSHEET 1.9 doc-5176 SkillSHEET 1.10 doc-5177 SkillSHEET 1.11doc-5178 SkillSHEET 1.12 doc-5179 WorkSHEET 1.1 doc-5180 WorkSHEET 1.1 Answers 1D Combining index laws (page 17) Exercise 1D (page 20) 1-D-1 Review of indices doc-4957 (page 20) 1-D-2 Indices practice doc-4958 (page 20) 1-D-3 Tricky indices doc-4959 (page 20) WorkSHEET 1.2 doc-5181 Book answers WorkSHEET 1.2 Answers Progress Test 1D

3 Reflection (page 22) Closing pages Interactivities Chapter 1 Test A & solutions Summary (page 23) Mapping your understanding (page 23) Chapter review (page 24) Test yourself int-2828 Word search int-2826 Crossword int-2827 Chapter 1 Test B & solutions Achievement Practice test Chapter 1 Achievement Test Chapter 1 (Teacher Set)

4 Chapter 2 Linear algebra Content strand: Number and algebra Sub-strand: Patterns and algebra Australian Curriculum Content Strands Apply the four operations to simple algebraic fractions with numerical denominators solving a wide range of linear equations, including those involving one or two simple algebraic fractions, and checking solutions by substitution Solve linear equations involving simple algebraic fractions solving a wide range of linear equations, including those involving one or two simple algebraic fractions, and checking solutions by substitution representing word problems, including those involving fractions, as equations and solving them to answer the question Section Chapter opening What do you know? (page 27) Hungry brain activity Fraction frenzy doc-5182 Readiness Test Chapter 2 Are you ready? (page 28) SkillSHEET 2.1 doc-5183 SkillSHEET 2.2 doc-5184 SkillSHEET 2.3 doc-5185 SkillSHEET 2.4 doc-5186 SkillSHEET 2.5 doc-5187 SkillSHEET 2.6 doc A Substitution (page 29) Exercise 2A (page 31) 2-A-1 Substitution doc-4960 (page 31) 2-A-2 Harder substitution doc-4961 (page 31) 2-A-3 Tricky substitution doc-4962 (page 31) Book answers Progress Test 2A

5 Reflection (page 33) SkillSHEET 2.7 doc B Adding and subtracting algebraic fractions (page 33) Exercise 2B (page 36) Reflection (page 37) 2-B-1 Introducing algebraic fractions doc-4963 (page 36) 2-B-2 Working with algebraic fractions doc-4864 (page 36) 2-B-3 Advanced algebraic fractions doc-4965 (page 36) Book answers Progress Test 2B SkillSHEET 2.8 doc C Multiplying and dividing algebraic fractions (page 37) Exercise 2C (page 39) Reflection (page 40) 2-C-1 Learning operations with algebraic fractions doc-4966 (page 39) 2-C-2 Operations with algebraic fractions doc-4967 (page 39) 2-C-3 Advanced operations with algebraic fractions doc-4968 (page 39) Book answers Progress Test 2C SkillSHEET 2.9 doc-5191 SkillSHEET 2.10 doc-5192 WorkSHEET 2.1 doc-5193 WorkSHEET 2.1 Answers 2D Solving linear equations (page 40) Exercise 2D (page 43) Reflection (page 44) 2-D-1 Simple puzzling equations doc-4969 (page 43) 2-D-2 Puzzling equations doc-4970 (page 43) 2-D-3 Advanced puzzling equations doc-4971 (page 43) Book answers Progress Test 2D 2E Solving equations with algebraic fractions and multiple brackets (page 45) Exercise 2E (page 48) 2-E-1 Algebraic equations with fractions doc-4972 (page 48) 2-E-2 Harder algebraic equations with fractions doc-4973 (page 48) 2-E-3 Tricky algebraic equations with fractions doc-4974 (page 48) Book answers Progress Test 2E

6 Reflection (page 49) WorkSHEET 2.2 doc-5194 WorkSHEET 2.2 Answers Interactivity Solving equations int-2778 Closing pages Interactivities Chapter 2 Test A & solutions Summary (page 50) Mapping your understanding (page 51) Chapter review (page 52) Test yourself int-2831 Word search int-2829 Crossword int-2830 Chapter 2 Test B & solutions Achievement Practice test Chapter 2 Achievement Test Chapter 2 (Teacher Set)

7 Chapter 3 Coordinate geometry Content strand: Number and algebra Sub-strand: Linear and non-linear relationships Australian Curriculum Content Strands Solve problems involving linear equations, including those derived from formulas solving equations that are the result of substitution into common formulas from mathematics and elsewhere, including those that involve rearrangement checking the solution by substitution into the equation Solve problems involving parallel and perpendicular lines Developing fluency with the geometric calculations which connect the graphical and analytical representations of parallel and perpendicular lines, using geometric software to carry out investigations with parallel and perpendicular lines Section Chapter opening What do you know? (page 55) Hungry brain activity Cartesian island doc-5195 Readiness Test Chapter 3 Are you ready? (page 56) 3A Sketching linear graphs (page 57) SkillSHEET 3.1 doc-5196 SkillSHEET 3.2 doc-5197 SkillSHEET 3.3 doc-5198 SkillSHEET 3.4 doc-5199 SkillSHEET 3.5 doc-5200 SkillSHEET 3.6 doc A-1 Sketching linear graphs doc-4975 (page 62) Book answers

8 Exercise 3A (page 62) Reflection (page 63) 3-A-2 Graphs of linear equations doc-4976 (page 62) 3-A-3 More graphs of linear equations doc-4977 (page 62) Progress Test 3A SkillSHEET 3.7 doc-5202 SkillSHEET 3.5 doc-5200 SkillSHEET 3.8 doc B Determining linear equations (page 64) Exercise 3B (page 67) Reflection (page 68) 3-B-1 Determining linear equations doc-4978 (page 67) 3-B-2 Linear equations doc-4979 (page 67) 3-B-3 More complex linear equations doc-4980 (page 67) Book answers Progress Test 3B SkillSHEET 3.1 doc-5196 SkillSHEET 3.9 doc-5204 WorkSHEET 3.1 doc-5205 WorkSHEET 3.1 Answers 3C The distance between two points on a straight line (page 68) Exercise 3C (page 70) Reflection (page 71) 3-C-1 Finding the distance between two points on a straight line doc-4981 (page 70) 3-C-2 Calculations of distance between two points doc-4982 (page 70) 3-C-3 Applications of distance between two points doc-4983 (page 70) Book answers Progress Test 3C Spreadsheet 021 Distance between two points doc D The midpoint of a line segment (page 71) Exercise 3D (page 73) 3-D-1 Finding the midpoint of a line segment doc-4984 (page 73) 3-D-2 Calculations Midpoint of a segment Book answers Progress Test 3D

9 Reflection (page 74) doc-4985 (page 73) 3-D-3 Applications Midpoint of a segment doc-4986 (page 73) Spreadsheet 075 Midpoint of a segment doc-5207 WorkSHEET 3.2 doc-5208 WorkSHEET 3.2 Answers 3E Parallel and perpendicular lines (page 74) Exercise 3E (page 79) Reflection (page 82) 3-E-1 Parallel and perpendicular lines doc-4987 (page 79) 3 E-2 More difficult parallel and perpendicular lines doc-4988 (page 79) 3-E-3 Complex parallel and perpendicular lines doc-4989 (page 79) Book answers Progress Test 3E Spreadsheet 085 Perpendicular checker doc-5209 Spreadsheet 029 Equation of a straight line doc-5210 Interactivity Parallel and perpendicular lines int-2779 Closing pages Interactivities Chapter 3 Test A & solutions Summary (page 83) Mapping your understanding (page 84) Chapter review (page 85) Test yourself int-2834 Word search int-2832 Crossword int-2833 Chapter 3 Test B & solutions Achievement Practice test Chapter 3 Achievement Test Chapter 3

10 (Teacher Set)

11 Chapter 4 Simultaneous linear equations and inequations Content strand: Number and algebra Sub-strand: Linear and non-linear relationships Australian Curriculum Content Strands Solve linear inequalities and graph their solutions on a number line representing word problems with simple linear inequalities and solving them to answer questions Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology using simple algebraic techniques to solve pairs of linear simultaneous equations generalising pairs of equations from word problems and choosing an appropriate strategy for solving them simultaneously Section Chapter opening What do you know? (page 89) Hungry brain activity How are you feeling today? doc-5211 Readiness Test Chapter 4 Are you ready? (page 90) 4A Graphical solution of simultaneous linear equations SkillSHEET 4.1 doc-5212 SkillSHEET 4.2 doc-5213 SkillSHEET 4.3 doc-5214 SkillSHEET 4.4 doc-5215 SkillSHEET 4.5 doc-5216 SkillSHEET 4.6 doc-5217 SkillSHEET 4.7 doc A-1 Investigating graphs of simultaneous equations doc-4990 (page 94) Book answers

12 (page 91) Exercise 4A (page 94) Reflection (page 96) 4-A-2 Graphing simultaneous equations doc-4991 (page 94) 4-A-3 Further graphing of simultaneous equations doc-4992 (page 95) SkillSHEET 4.6 doc Progress Test 4A 4B Solving simultaneous linear equations using substitution (page 96) Exercise 4B (page 98) Reflection (page 99) 4-B-1 Learning substitution doc-4993 (page 98) 4-B-2 Practising substitution doc-4994 (page 98) 4-B-3 Tricky substitution doc-4995 (page 98) Book answers Progress Test 4B 4C Solving simultaneous linear equations using elimination (page 99) Exercise 4C (page 101) Reflection (page 103) 4-C-1 Elimination practice doc-4996 (page 101) 4-C-2 Let's eliminate doc-4997 (page 102) 4-C-3 More elimination doc-4998 (page 103) Book answers Progress Test 4C WorkSHEET 4.1 doc-5220 WorkSHEET 4.1 Answers Interactivity Simultaneous linear equations int D Problem solving using simultaneous linear equations (page 103) Exercise 4D (page 105) Reflection (page 106) 4-D-1 Problem solving doc-4999 (page 105) 4-D-2 Harder problem solving doc-5000 (page 105) 4-D-3 Tricky problem solving doc-5001 (page 105) Book answers Progress Test 4D WorkSHEET 4.2 doc-5221 WorkSHEET 4.2 Answers

13 4E Solving linear inequations (page 106) Exercise 4E (page 108) Reflection (page 110) 4-E-1 Puzzling inequations 1 doc-5002 (page 108) 4-E-2 Puzzling inequations 2 doc-5003 (page 108) 4-E-3 Puzzling inequations 3 doc-5004 (page 109) Book answers Progress Test 4E SkillSHEET 4.7 doc-5218 SkillSHEET 4.8 doc F Sketching linear inequations (page 110) Exercise 4F (page 113) Reflection (page 116) 4-F-1 Understanding linear inequations doc-5005 (page 113) 4-F-2 Graphing linear inequations doc-5006 (page 114) 4-F-3 Interpreting linear inequation graphs doc-5007 (page 114) Book answers Progress Test 4F 4G Solving simultaneous linear inequations (page 116) Exercise 4G (page 118) 4-G-1 Introducing simultaneous linear inequations doc-5008 (page 118) 4-G-2 Practising simultaneous linear inequations doc-5009 (page 118) 4-G-3 Further simultaneous linear inequations doc-5010 (page 118) Book answers Progress Test 4G Reflection (page 122) WorkSHEET 4.3 doc-5222 WorkSHEET 4.3 Answers Closing pages Interactivities Chapter 4 Test A & solutions Summary (page 123) Mapping your understanding (page 124) Chapter review (page 125) Test yourself int-2837 Word search int-2835 Crossword int-2836 Chapter 4 Test B & solutions Achievement Practice test Chapter 4 Achievement Test Chapter 4 (Teacher Set)

14 Chapter 5 Trigonometry Content strand: Measurement and geometry Sub-strand: Pythagoras and trigonometry Australian Curriculum Content Strands Solve right-angled triangle problems including those involving direction and angles of elevation and depression applying Pythagoras s Theorem and trigonometry to problems in surveying and design For 10A Apply Pythagoras theorem and trigonometry to solving three-dimensional problems in right-angled triangles investigating the applications of Pythagoras s theorem in authentic problems Section Chapter opening What do you know? (page 131) Hungry brain activity Exploring triangles doc-5223 Readiness Test Chapter 5 Are you ready? (page 132) 5A Pythagoras theorem (page 133) SkillSHEET 5.1 doc-5224 SkillSHEET 5.2 doc-5225 SkillSHEET 5.3 doc-5226 SkillSHEET 5.5 doc-5227 SkillSHEET 5.6 doc A-1 Review of Pythagoras' theorem doc-5011 (page 137) 5-A-2 Practising Pythagoras' theorem Book answers

15 Exercise 5A (page 137) Reflection (page 140) doc-5012 (page 137) 5-A-3 More of Pythagoras' theorem doc-5013 (page 137) Progress Test 5A SkillSHEET 5.1 doc B Pythagoras theorem in three dimensions (page 140) Exercise 5B (page 143) Reflection (page 145) 5-B -1 Pythagoras in 3-dimensions doc-5014 (page 143) 5-B-2 Pythagoras in 3-D figures doc-5015 (page 143) 5-B-3 Investigating triangles in 3-D figures doc-5016 (page 143) Book answers Progress Test 5B SkillSHEET 5.4 doc-5229 WorkSHEET 5.1 doc-5230 WorkSHEET 5.1 Answers 5C Trigonometric ratios (page 145) Exercise 5C (page 149) Reflection (page 151) 5-C-1 Review of trigonometry doc-5017 (page 149) 5-C-2 Using trigonometry doc-5018 (page 149) 5-C-3 Applying trigonometry doc-5019 (page 149) Book answers Progress Test 5C SkillSHEET 5.3 doc-5226 SkillSHEET 5.7 doc D Using trigonometry to calculate side lengths (page 151) Exercise 5D (page 154) Reflection (page 155) 5-D-1 Calculating side lengths using trigonometry doc-5020 (page 154) 5-D-2 Applying trigonometry to simple figures doc-5021 (page 154) 5-D-3 Practical applications of trigonometry doc-5022 (page 154) Book answers Progress Test 5D

16 Interactivity Using trigonometry int E Using trigonometry to calculate angle size (page 156) Exercise 5E (page 158) Reflection (page 160) 5-E-1 Review of angle calculations doc-5023 (page 158) 5-E-2 Calculating angles using trigonometry doc-5024 (page 158) 5-E-3 Applying trigonometry to angle calculations doc-5025 (page 159) SkillSHEET 5.8 doc-5232 Book answers Progress Test 5E WorkSHEET 5.2 doc-5233 WorkSHEET 5.2 Answers 5F Angles of elevation and depression (page 161) Exercise 5F (page 163) Reflection (page 165) 5-F-1 Identifying elevation and depression doc-5026 (page 163) 5-F-2 Calculating elevation and depression doc-5027 (page 163) 5-F-3 Applications of elevation and depression doc-5028 (page 163) Book answers Progress Test 5F SkillSHEET 5.6 doc-5228 WorkSHEET 5.3 doc G Bearings and compass directions (page165 ) Exercise 5G (page 169) Reflection (page 171) 5-G-1 Bearings doc-5029 (page 170) 5-G-2 Calculations involving bearings doc-5030 (page 170) 5-G-3 Applications involving bearings doc-5031 (page 170) Book answers Progress Test 5G 5H Applications (page 172) 5-H-1 Trigonometry applications 1 doc-5032 (page 173) 5-H-2 Trigonometry applications 2 Book answers

17 Exercise 5H (page 173) Reflection (page 176) doc-5033 (page 173) 5-H-3 Trigonometry applications 3 doc-5034 (page 173) Progress Test 5H Interactivity Applying trigonometry to drafting problems int-2781 Closing pages Interactivities Chapter 5 Test A & solutions Summary (page 177) Mapping your understanding (page 178) Chapter review (page 179) Test yourself int-2840 Word search int-2838 Crossword int-2839 Chapter 5 Test B & solutions Achievement Practice test Chapter 5 Achievement Test Chapter 5 (Teacher Set)

18 Chapter 6 Surface area and volume Content strand: Measurement and geometry Sub-strand: Using units of measurement Australian Curriculum Content Strands Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids building on understanding of surface areas and volumes of prisms and cylinders, to include pyramids, cones and spheres For 10A Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids using formulas to solve problems using authentic situations to apply knowledge and understanding of surface area and volume Section Chapter opening What do you know? (page 183) Hungry brain activity The Soma cube doc-5235 Readiness Test Chapter 6 Are you ready? (page 184) 6A Area (page 185) SkillSHEET 6.1 doc-5236 SkillSHEET 6.2 doc-5237 SkillSHEET 6.3 doc-5238 SkillSHEET 6.4 doc-5239 SkillSHEET 6.5 doc A-1 Review of area doc-5035 (page 189) Book answers

19 Exercise 6A (page 189) Reflection (page 193) 6-A-2 Area problems doc-5036 (page 189) 6-A-3 Tricky area problems doc-5037 (page 189) Progress Test 6A SkillSHEET 6.1 doc-5236 SkillSHEET 6.2 doc-5237 elesson Heron s formula eles-0177 WorkSHEET 6.1 doc-5241 WorkSHEET 6.1 Answers 6B Total surface area (page 193) Exercise 6B (page 199) Reflection (page 202) 6-B-1 Introducing surface area doc-5038 (page 199) 6-B-2 Surface area problems doc-5039 (page 199) 6-B-3 Tricky surface area problems doc-5040 (page 199) Book answers Progress Test 6B SkillSHEET 6.3 doc-5238 Interactivity TSA-sphere int-2782 WorkSHEET 6.2 doc-5242 WorkSHEET 6.2 Answers 6C Volume (page 203) Exercise 6C (page 208) Reflection (page 212) 6-C-1 Review of volume and capacity doc-5041 (page 208) 6-C-2 Volume and capacity problems doc-5042 (page 208) 6-C-3 Tricky volume and capacity problems doc-5043 (page 208) Book answers Progress Test 6C

20 SkillSHEET 6.4 doc-5239 SkillSHEET 6.5 doc-5240 WorkSHEET 6.3 doc-6753 WorkSHEET 6.3 Answers Closing pages Interactivities Chapter 6 Test A & solutions Summary (page 213) Mapping your understanding (page 213) Chapter review (page 214) Test yourself int-2843 Word search int-2841 Crossword int-2842 Chapter 6 Test B & solutions Achievement Practice test Chapter 6 Achievement Test Chapter 6 (Teacher Set)

21 Chapter 7 Quadratic expressions Content strand: Number and algebra Sub-strand: Patterns and algebra Australian Curriculum Content Strands Factorise algebraic expressions by taking out a common algebraic factor. factorising a range of expressions by taking out a common factor, including those where the common factor is an algebraic expression. Expand binomial products and factorise monic quadratic expressions using a variety of strategies identifying and using common factors, including binomial terms, to factorise algebraic expressions using the technique of grouping in pairs to factorise algebraic expressions with four terms using expansion patterns for the special binomial products (a + b)(a b) and (a ± b) 2 inversely to factorise quadratics using the area model inversely to factorise quadratic expressions of the form ax 2 + bx + c, where a= ±1 exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations Substitute values into formulas to determine an unknown representing word problems with simple linear equations and solving them to answer questions Section Chapter opening What do you know? (page 219) Hungry brain activity Modelling plant growth doc-5243 Readiness Test Chapter 7 Are you ready? (page 220) SkillSHEET 7.1 doc-5244 SkillSHEET 7.2 doc-5245 SkillSHEET 7.3 doc-5246 SkillSHEET 7.4 doc-5247 SkillSHEET 7.7 doc-5248

22 SkillSHEET 7.8 doc A Expanding algebraic expressions (page 221) Exercise 7A (page 225) Reflection (page 227) 7-A-1 Review of expansion doc-5044 (page 225) 7-A-2 Expanding algebraic expressions doc-5045 (page 225) 7-A-3 Expanding more complex algebraic expressions doc-5046 (page 225) Book answers Progress Test 7A SkillSHEET 7.1 doc-5244 SkillSHEET 7.2 doc B Factorising expressions with three terms (page 227) Exercise 7B (page 229) Reflection (page231 ) 7-B-1 Introducing quadratic factorisation doc-5050 (page 229) 7-B-2 Practising quadratic factorisation doc-5051 (page 229) 7-B-3 Tricky quadratic factorisation doc-5052 (page 229) Book answers Progress Test 7B SkillSHEET 7.5 doc-5250 WorkSHEET 7.1 doc-5251 WorkSHEET 7.1 Answers 7C Factorising expressions with two or four terms (page 231) Exercise 7C (page 234) Reflection (page 236) 7-C-1 Factorising expressions with two or four terms doc-5047 (page 234) 7-C-2 More factorising expressions with two or four terms doc-5048 (page 234) 7-C-3 Advanced factorising expressions with two or four terms doc-5049 (page 234) Book answers Progress Test 7C SkillSHEET 7.3 doc-5246 SkillSHEET 7.4 doc-5247

23 7D Factorising by completing the square (page 236) Exercise 7D (page 239) Reflection (page 240) 7-D-1 Introducing completing the square doc-5053 (page 239) 7-D-2 Practising completing the square doc-5054 (page 239) 7-D-3 Completing the square doc-5055 (page 239) Book answers Progress Test 7D Interactivity Completing the square int E Mixed factorisation (page 240) Exercise 7E (page 240) Reflection (page 241) 7-E-1 Mixed factorisation doc-5056 (page 240) 7-E-2 Harder mixed factorisation doc-5057 (page 240) 7-E-3 Advanced mixed factorisation doc-5058 (page 240) Book answers Progress Test 7E SkillSHEET 7.6 doc-5252 SkillSHEET 7.7 doc-5248 WorkSHEET 7.2 doc-5254 WorkSHEET 7.2 Answers Closing pages Interactivities Chapter 7 Test A & solutions Summary (page 242) Mapping your understanding (page 243) Chapter review (page 244) Test yourself int-2846 Word search int-2844 Crossword int-2845 Chapter 7 Test B & solutions Achievement Practice test Chapter 7 Achievement Test Chapter 7 (Teacher Set)

24 Chapter 8 Quadratic equations Content strand: Number and algebra Sub-strand: Linear and non-linear relationships Australian Curriculum Content Strands Solve simple quadratic equations using a range of strategies developing an understanding that many relationships are non-linear and that these can also be represented graphically and algebraically identifying the connection between algebraic and graphical solutions of equations (for example understanding that the x-intercepts are the solutions of f(x) = 0) exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations For 10A Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts developing fluency with algebraic techniques associated with quadratics to facilitate describing relationships and solving problems Section Chapter opening What do you know? (page 247) Hungry brain activity The Null Factor Law doc-5255 Readiness Test Chapter 8 Are you ready? (page 248) 8A Solving quadratic equations (page 249) SkillSHEET 8.1 doc-5256 SkillSHEET 8.2 doc-5257 SkillSHEET 8.3 doc-5258 SkillSHEET 8.4 doc-5259 SkillSHEET 8.5 doc A-1 Solving simple quadratics doc-5059 (page 253) Book answers

25 Exercise 8A (page 253) Reflection (page 255) 8-A-2 Solving quadratic equations doc-5060 (page 253) 8-A-3 Solving more complex quadratics doc-5061 (page 253) Progress Test 8A WorkSHEET 8.1 doc-5261 WorkSHEET 8.1 Answers 8B The quadratic formula (page 255) Exercise 8B (page 257) Reflection (page 258) 8-B-1 Introducing the quadratic formula doc-5062 (page 257) 8-B-2 Practice using the quadratic formula doc-5063 (page 257) 8-B-3 Using the quadratic formula doc-5064 (page 257) Book answers Progress Test 8B SkillSHEET 8.6 doc-5262 SkillSHEET 8.7 doc C Solving quadratic equations by inspecting graphs (page 258) Exercise 8C (page 261) Reflection (page 263) 8-C-1 Finding solutions to quadratic equations by inspecting graphs doc-5065 (page 261) 8-C-2 Solving quadratic equations by inspecting graphs doc-5066 (page 261) 8-C-3 Harder solutions to quadratic equations by inspecting graphs doc-5067 (page 261) Book answers Progress Test 8C 8D Finding solutions to quadratic equations by interpolation and using the discriminant (page 263) Exercise 8D (page 267) Reflection (page 268) 8-D-1 Finding solutions to quadratic equations by interpolation doc-5068 (page 267) 8-D-2 Harder solutions to quadratic equations by interpolation doc-5069 (page 267) 8-D-3 Difficult solutions to quadratic equations by interpolation doc-5070 (page 267) Book answers Progress Test 8D

26 Interactivity Solving by interpolation int-1147 WorkSHEET 8.2 doc-6264 WorkSHEET 8.2 Answers 8E Solving a quadratic equation and a linear equation simultaneously (page 269) Exercise 8E (page 272) Reflection (page 273) 8-E-1 Introduction to quadratic and linear solutions doc-5071 (page 272) 8-E-2 Practising quadratic and linear solutions doc-5072 (page 272) 8-E-3 Tricky quadratic and linear solutions doc-5073 (page 272) Book answers Progress Test 8E Interactivity Simultaneous quadratic equations int-2784 Closing pages Interactivities Chapter 8 Test A & solutions Summary (page 274) Mapping your understanding (page 275) Chapter review (page 276) Test yourself int-2849 Word search int-2847 Crossword int-2848 Chapter 8 Test B & solutions Achievement Practice test Chapter 8 Achievement Test Chapter 8 (Teacher Set)

27 Chapter 9 Functions Content strand: Number and algebra Sub-strand: Linear and non-linear relationships Australian Curriculum Content Strands Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate identifying, matching and describing algebraic and graphical representations of parabolas, rectangular hyperbolas, exponential functions and circles, including those that have undergone a single transformation sketching the graphical representations of parabolas, exponential functions and circles Section Chapter opening What do you know? (page 279) Hungry brain activity Cartoon cartesians doc-5265 Readiness Test Chapter 9 Are you ready? (page 280) SkillSHEET 9.1 doc-5266 SkillSHEET 9.2 doc-5267 SkillSHEET 9.3 doc-5268 SkillSHEET 9.4 doc-5269 SkillSHEET 9.5 doc-5270 SkillSHEET 9.6 doc A Plotting parabolas (page 281) Exercise 9A (page 284) 9-A-1 Review of plotting parabolas doc-5074 (page 284) 9-A-2 Plotting parabolas doc-5075 (page 284) Book answers Progress Test 9A

28 Reflection (page 286) 9-A-3 Trends in plotted parabolas doc-5076 (page 285) SkillSHEET 9.1 doc-5266 SkillSHEET 9.2 doc B Sketching parabolas using the basic graph of y = x 2 (page 287) Exercise 9B (page 291) Reflection (page 292) 9-B-1 Review of sketching parabolas doc-5077 (page 291) 9-B-2 Sketching basic parabolas doc-5078 (page 291) 9-B-3 Trends in sketching basic parabolas doc-5079 (page 291) Book answers Progress Test 9B Interactivities Dilation of y = x 2 int-1148 Vertical translation of y = x 2 + c int-1192 Horizontal translation of y = (x h) 2 int-1193 WorkSHEET 9.1 doc-5272 WorkSHEET 9.1 Answers 9C Sketching parabolas in turning point form (page 292) Exercise 9C (page 296) Reflection (page 298) 9-C-1 Reviewing turning point form doc-5080 (page 296) 9-C-2 Turning point form doc-5081 (page 296) 9-C-3 Interpreting turning point from trends doc-5082 (page 296) Book answers Progress Test 9C 9D Sketching parabolas of the form y = ax 2 + bx + c (page 298) 9-D-1 Understanding parabola sketching doc-5083 (page 302) 9-D-2 Parabola sketching Book answers

29 Exercise 9D (page 302) Reflection (page 306) doc-5084 (page 302) 9-D-3 Sketching tricky parabolas doc-5085 (page 302) SkillSHEET 9.3 doc-5268 SkillSHEET 9.4 doc-5269 SkillSHEET 9.5 doc-5270 SkillSHEET 9.6 doc-5271 Progress Test 9D Interactivity Sketching parabolas int-2785 WorkSHEET 9.2 doc-5273 WorkSHEET 9.2 Answers 9E Exponential functions and their graphs (page 306) Exercise 9E (page 309) Reflection (page 312) 9-E-1 Exploring exponential graphs doc-5086 (page 309) 9-E-2 Features of exponential graphs doc-5087 (page 309) 9-E-3 Tricky exponential graphs doc-5088 (page 309) Book answers Progress Test 9E SkillSHEET 9.7 doc-5274 Interactivity Exponential graphs int F The hyperbola (page 312) Exercise 9F (page 314) Reflection (page 315) 9-F-1 Hyperbola graphs doc-5089 (page 314) 9-F-2 Exploring the hyperbola doc-5090 (page 314) 9-F-3 More hyperbola graphs doc-5091 (page 314) Book answers Progress Test 9F 9G The circle (page 315) 9-G-1 Circle graphs doc-5092 (page 317) Book answers

30 Exercise 9G (page 317) Reflection (page 318) 9-G-2 Exploring the circle doc-5093 (page 317) 9-G-3 More circle graphs doc-5094 (page 317) Progress Test 9G Closing pages Interactivities Chapter 9 Test A & solutions Summary (page 319) Mapping your understanding (page 320) Chapter review (page 321) Test yourself int-2852 Word search int-2850 Crossword int-2851 Chapter 9 Test B & solutions Achievement Practice test Chapter 9 Achievement Test Chapter 9 (Teacher Set)

31 Chapter 10 Deductive geometry Content strand: Measurement and geometry Sub-strand: Geometric reasoning Australian Curriculum Content Strands Formulate proofs involving congruent triangles and angle properties proving that a quadrilateral with equal-length diagonals bisecting at right angles is a square Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes presenting formal geometric arguments to develop skills in mathematical reasoning and presenting reasoned arguments (proofs) using mathematical language and notation, based on congruence and similarity applying an understanding of relationships to deduce properties of geometric figures (for example the base angles of an isosceles triangle are equal) distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent) Section Chapter opening What do you know? (page 325) Hungry brain activity Cubism doc-5275 Readiness Test Chapter 10 Are you ready? (page 326) 10A Congruence review (page 327) SkillSHEET 10.1 doc-5276 SkillSHEET 10.2 doc-5277 SkillSHEET 10.3 doc-5278 SkillSHEET 10.4 doc A-1 Review of congruent shapes doc-5095 (page 329) Book answers

32 Exercise 10A (page 329) Reflection (page 332) 10-A-2 Practice with congruent figures doc-5096 (page 329) 10-A-3 Tricky congruent figures doc-5097 (page 330) Progress Test 10A SkillSHEET 10.1 doc-5276 SkillSHEET 10.2 doc-5277 SkillSHEET 10.5 doc B Similarity review (page 332) Exercise 10B (page 335) Reflection (page 336) 10-B-1 Review of similar shapes doc-5098 (page 335) 10-B-2 Similarity practice doc-5099 (page 335) 10-B-3 Tricky similarity problems doc-5100 (page 335) Book answers Progress Test 10B SkillSHEET 10.3 doc-5278 SkillSHEET 10.6 doc-5281 WorkSHEET 10.1 doc-5282 WorkSHEET 10.1 Answers 10C Congruence and proof (page 336) Exercise 10C (page 338) Reflection (page 339) 10-C-1 Congruent triangles doc-5101 (page 338) 10-C-2 Matching congruent triangles doc-5102 (page 338) 10-C-3 Harder congruent triangles doc-5103 (page 338) Book answers Progress Test 10C 10D Quadrilaterals: definitions and properties (page 340) Exercise 10D (page 341) Reflection (page 343) 10-D-1 Quadrilaterals doc-5104 (page 341) 10-D-2 Harder quadrilaterals doc-5105 (page 342) 10-D-3 Tricky quadrilaterals doc-5106 (page 342) Book answers Progress Test 10D

33 SkillSHEET 10.4 doc-5279 Interactivity Quadrilateral definitions int-2786 WorkSHEET 10.2 doc-5283 WorkSHEET 10.2 Answers 10E Quadrilaterals and proof (page 344) Exercise 10E (page 345) Reflection (page 346) 10-E-1 Quadrilateral proofs doc-5107 (page 345) 10-E-2 Harder quadrilateral proofs doc-5108 (page 345) 10-E-3 Tricky quadrilateral proofs doc-5109 (page 345) Book answers Progress Test 10E WorkSHEET 10.3 doc-5284 WorkSHEET 10.3 Answers Closing pages Interactivities Chapter 10 Test A & solutions Summary (page 347) Mapping your understanding (page 348) Chapter review (page 349) Test yourself int-2855 Word search int-2853 Crossword int-2854 Chapter 10 Test B & solutions Achievement Practice test Chapter 10 Achievement Test Chapter 10 (Teacher Set)

34 Chapter 11 Problem solving I Pages 355 to problems of varying levels of difficulty This chapter expands on the strategies introduced for problem solving in the previous three texts (Maths Quest 7, 8 and 9 for the Australian curriculum). As mentioned in those previous texts, the main processes which can be used to solve problems are: Read the question at least twice, underlining all the important facts. Identify the solution required. Solve the problem using an appropriate strategy. Communicate the solution using appropriate language and mathematical terms. Support the solution with mathematical reasoning. Reflect on the solution. Does it answer the question? Does it make sense? Could a better method have been used? Strategies which can be used to solve the problem include: Create a table. Draw a diagram. Look for a pattern. Work backwards from the answer. Eliminate possible solutions which do not match the given information.

35 Look at a simplified version of the same problem. Guess and check. Use technology as this can greatly reduce calculations with unwieldy numbers. Simulate the problem. The problems in this chapter can be classified into 3 levels: Level 1, Level 2 and Level 3. It must be recognised that the classification of these problems is a subjective matter, and the expertise and exposure of students to problem solving greatly influences their ability to solve these problems. Level 1 Level 2 Level 3 These include questions: 5, 6, 9, 10, 13, 18, 22, 38, 49, 52, 57, 58, 61, 63, 70, 72, 78, 80, 83, 84, 88, 89, 92, 96, 106, 110, 112, 114, 115, 119, 124, 128 These include questions: 1, 2, 4, 8, 12, 14, 15, 16, 17, 19, 24, 25, 27, 29, 30, 32, 33, 34, 35, 36, 37, 40, 41, 43, 45, 46, 47, 48, 50, 51, 53, 56, 59, 60, 62, 64, 65, 66, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79, 81, 82, 85, 86, 94, 95, 97, 99, 101, 102, 104, 107, 108, 113, 116, 118, 120, 121, 125, 126, 129 These include questions: 3, 7, 11, 20, 21, 23, 26, 28, 31, 39, 42, 44, 54, 55, 87, 90, 91, 93, 98, 100, 103, 105, 109, 111, 117, 122, 123, 127, 130

36 Chapter 12 Probability Content strand: Statistics and probability Sub-strand: Chance Australian Curriculum Content Strands Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence recognising and identifying that some sets of chance events are dependent on a previous result and others are not, that this distinction is important when calculating probabilities, and that events are independent if P(A) x P(B) = P(A and B) distinguishing that event A is mathematically dependent on event B if the occurrence of event B affects the chance of the occurrence of event A (for example, selecting a ball from a bag where one ball has already been taken and not replaced) Use the language of if...then, given, of, knowing that to investigate conditional statements and identify common mistakes in interpreting such language evaluating media reports that refer to data from a range of contexts, where the evaluation allows students to demonstrate their statistical literacy Section Chapter opening What do you know? (page 379) Hungry brain activity Independent and mutually exclusive events doc-5285 Readiness Test Chapter 12 Are you ready? (page 380) 12A Review of probability (page 381) SkillSHEET 12.1 doc-5286 SkillSHEET 12.2 doc-5287 SkillSHEET 12.3 doc-5288 SkillSHEET 12.4 doc-5289 SkillSHEET 12.5 doc A-1 Review of probability doc-5110 (page 392) Book answers

37 Exercise 12A (page 392) Reflection (page 396) 12-A-2 General probability problems doc-5111 (page 392) 12-A-3 Tricky probability problems doc-5112 (page 392) Progress Test 12A SkillSHEET 12.1 doc-5286 SkillSHEET 12.2 doc-5287 SkillSHEET 12.6 doc-5291 SkillSHEET 12.7 doc-5292 SkillSHEET 12.8 doc-5293 Interactivity Random number generator int B Complementary and mutually exclusive events (page 396) Exercise 12B (page 400) Reflection (page 403) 12-B-1 Complementary and mutually exclusive events doc-5113 (page 401) 12-B-2 Harder complementary and mutually exclusive events doc-5114 (page 401) 12-B-3 Tricky complementary and mutually exclusive events doc-5115 (page 401) Book answers Progress Test 12B SkillSHEET 12.3 doc-5288 SkillSHEET 12.4 doc-5289 SkillSHEET 12.9 doc-5294 WorkSHEET 12.1 doc-5295 WorkSHEET 12.1 Answers 12C Two-way tables and tree diagrams (page 403) Exercise 12C (page 410) 12-C-1 Review of two-way tables and tree diagrams doc-5116 (page 410) 12-C-2 Practice with two-way tables and tree diagrams doc-5117 (page 410) 12-C-3 Tricky two-way tables and tree Book answers Progress Test 12C

38 Reflection (page 412) diagrams doc-5118 (page 410) SkillSHEET 12.5 doc-5290 elesson Games at Wimbledon eles-1032 WorkSHEET 12.2 doc-5296 WorkSHEET 12.2 Answers 12D Independent and dependent events (page 413) Exercise 12D (page 415) Reflection (page 417) 12-D-1 Simple independent and dependent events doc-5119 (page 415) 12-D-2 Independent and dependent events doc-5120 (page 415) 12-D-3 Tricky independent and dependent events doc-5121 (page 415) Book answers Progress Test 12D Interactivities A pack of cards int-2787 Random numbers int E Conditional probability (page 417) Exercise 12E (page 419) Reflection (page 420) 12-E-1 Introducing conditional probability doc-5122 (page 419) 12-E-2 Practice with conditional probability doc-5123 (page 419) 12-E-3 Tricky conditional probability problems doc-5124 (page 419) Book answers Progress Test 12E 12F Subjective probability (page 420) Exercise 12F (page 421) Reflection (page 422) 12-F-1 Subjective probability doc-5125 (page 421) 12-F-2 Harder subjective probability doc-5126 (page 421) 12-F-3 In-depth subjective probability doc-5127 (page 421) Book answers Progress Test 12F

39 WorkSHEET 12.3 doc-5297 WorkSHEET 12.3 Answers Closing pages Interactivities Chapter 12 Test A & solutions Summary (page 423) Mapping your understanding (page 424) Chapter review (page 425) Test yourself int-2858 Word search int-2856 Crossword int-2857 Chapter 12 Test B & solutions Achievement Practice test Chapter 12 Achievement Test Chapter 12 (Teacher Set)

40 Chapter 13 Univariate data Content strand: Statistics and probability Sub-strand: Data representation and interpretation Australian Curriculum Content Strands Determine quartiles and interquartile range finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the box plot, as tools for both numerically and visually comparing the centre and spread of data sets Construct and interpret box plots and use them to compare data sets understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets using parallel box plots to compare data about the distribution of Aboriginal and Torres Strait Islander people by age with that of the Australian population as a whole Compare shapes of box plots to corresponding histograms and dot plots Investigating data in different ways to make comparisons and draw conclusions For 10A Calculate and interpret the mean and standard deviation of data and use these to compare data sets evaluating the appropriateness of sampling methods and sample size in reports where statements about a population are based on a sample Section Chapter opening What do you know? (page 429) Hungry brain activity Displaying distributions doc5298- Readiness Test Chapter 13 Are you ready? (page 430) SkillSHEET 13.1 doc-5299 SkillSHEET 13.2 doc-5300

41 SkillSHEET 13.3 doc-5301 SkillSHEET 13.4 doc-5302 SkillSHEET 13.5 doc-5303 SkillSHEET 13.6 doc A Measures of central tendency (page 431) Exercise 13A (page 435) Reflection (page 439) 13-A-1 Mean, median and mode doc-5128 (page 435) 13-A-2 Practice with mean, median and mode doc-5129 (page 435) 13-A-3 Mean, median and mode in depth doc-5130 (page 435) Book answers Progress Test 13A SkillSHEET 13.1 doc-5299 SkillSHEET 13.2 doc-5300 SkillSHEET 13.3 doc-5301 SkillSHEET 13.4 doc-5302 SkillSHEET 13.5 doc-5303 SkillSHEET 13.6 doc B Measures of spread (page 439) Exercise 13B (page 442) Reflection (page 444) 13-B-1 Range and quartiles doc-5131 (page 442) 13-B-2 Practice with range and quartiles doc-5132 (page 442) 13-B-3 Range and quartiles in depth doc-5133 (page 442) Book answers Progress Test 13B WorkSHEET 13.1 doc-5311 WorkSHEET 13.1 Answers 13C Box-and-whisker plots (page 444) Exercise 13C (page 447) Reflection (page 449) 13-C-1 Constructing boxplots doc-5134 (page 447) 13-C-2 Boxplots and outliers doc-5135 (page 447) 13-C-3 Boxplots with decimals doc-5136 (page 447) Book answers 13D The standard deviation 13-D-1 Standard deviation Progress Test 13C

42 (suitable for 10A) (page 449) Exercise 13D (page 451) doc-5137 (page 451) 13-D-2 Practice with standard deviation doc-5138 (page 451) 13-D-3 Standard deviation in depth doc-5139 (page 451) Book answers Progress Test 13D Reflection (page 453) WorkSHEET 13.2 doc-5318 WorkSHEET 13.2 Answers 13E Comparing data sets (page 454) Exercise 13E (page 455) Reflection (page 459) 13-E-1 Comparing data 1 doc-5140 (page 455) 13-E-2 Comparing data 2 doc-5141 (page 455) 13-E-3 Comparing data 3 doc-5142 (page 455) Book answers Progress Test 13E Interactivity Parallel boxplots int F Skewness (page 459) Exercise 13F (page 461) Reflection (page 463) 13-F-1 Skewed data doc-5143 (page 461) 13-F-2 More skewed data doc-5144 (page 461) 13-F-3 Tricky skewed data doc-5145 (page 461) Book answers Progress Test 13F WorkSHEET 13.3 doc-5325 WorkSHEET 13.3 Answers Closing pages Interactivities Chapter 13 Test A & solutions Summary (page 464) Mapping your understanding (page 465) Chapter review (page 466) Test yourself int-2861 Word search int-2859 Crossword int-2860 Chapter 13 Test B & solutions Achievement Practice test Chapter 13 Achievement Test

43 Chapter 13 (Teacher Set)

44 Chapter 14 Bivariate data Content strand: Statistics and probability Sub-strand: Data representation and interpretation Australian Curriculum Content Strands Use scatter plots to investigate and comment on relationships between two continuous variables using authentic data to construct scatter plots, make comparisons and draw conclusions Investigate and describe bivariate numerical data where the independent variable is time constructing and interpreting data displays representing bivariate data over time investigating biodiversity changes in Australia since white settlement Section Chapter opening What do you know? (page 471) Hungry brain activity Scatter plots doc-5326 Readiness Test Chapter 14 Are you ready? (page 472) 14A Identifying related pairs of variables (page 474) SkillSHEET 14.1 doc-5327 SkillSHEET 14.2 doc-5328 SkillSHEET 14.3 doc-5329 SkillSHEET 14.4 doc-5330 SkillSHEET 14.5 doc-5331 SkillSHEET 14.6 doc-5332 SkillSHEET 14.7 doc A-1 Pairs of variables doc-5146 (page 476) Book answers

45 Exercise 14A (page 476) Reflection (page 477) 14-A-2 More pairs of variables doc-5147 (page 476) 14-A-3 Advanced pairs of variables doc-5148 (page 476) Progress Test 14A 14B Graphing bivariate data (page 477) Exercise 14B (page 481) Reflection (page 483) 14-B-1 Scatterplots doc-5149 (page 481) 14-B-2 More scatterplots doc-5150(page 481) 14-B-3 Advanced scatterplots doc-5151 (page 481) Book answers Progress Test 14B WorkSHEET 14.1 doc-5334 WorkSHEET 14.1 Answers 14C Scatterplots (page 483) Exercise 14C (page 488) Reflection (page 490) 14-C-1 Types of relationships doc-5152 (page 488) 14-C-2 More relationships doc-5153 (page 488) 14-C-3 Advanced relationships doc-5154 (page 488) Book answers Progress Test 14C Interactivity Scatterplots int-2789 WorkSHEET 14.2 doc-5335 WorkSHEET 14.2 Answers Closing pages Interactivities Chapter 14 Test A & solutions Summary (page 491) Mapping your understanding (page 491) Chapter review (page 492) Test yourself int-2864 Word search int-2862 Crossword int-2863 Chapter 14 Test B & solutions Achievement Practice test Chapter 14 Achievement Test Chapter 14

46 (Teacher Set)

47 Chapter 15 Statistics in the media Content strand: Statistics and probability Sub-strand: Data representation and interpretation Australian Curriculum Content Strands Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data investigating real-life examples that demonstrate that predicted outcomes can be accompanied by unpredicted effects, and understanding the causes for this (for example, Chinese one-child policy becoming the one-male policy) evaluating statistical reports comparing the life expectancy of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole For 10A Investigate reports of studies in digital media and elsewhere for information on the planning and implementation of such studies, and the reporting of variability evaluating media reports that refer to data from a range of contexts evaluating whether graphs in a report could mislead, and whether graphs and numerical information support the claims evaluating the appropriateness of sampling methods and sample size in reports where statements about a population are based on a sample Section Chapter opening What do you know? (page 497) Hungry brain activity Hot n cold coffee doc-5336 Readiness Test Chapter 15 Are you ready? (page 498) SkillSHEET 15.1 doc-5337 SkillSHEET 15.2 doc-5338 SkillSHEET 15.3 doc-5339 SkillSHEET 15.4 doc-5340

48 SkillSHEET 15.5 doc A Populations and samples (page 499) Exercise 15A (page 502) Reflection (page 503) 15-A-1 Populations and samples doc-5155 (page 502) 15-A-2 More populations and samples doc-5156 (page 502) 15-A-3 In depth populations and samples doc-5157 (page 502) Book answers Progress Test 15A WorkSHEET 15.1 doc-5342 WorkSHEET 15.1 Answers 15B Primary and secondary data (page 503) Exercise 15B (page 508) Reflection (page 510) 15-B-1 Data collection doc-5158 (page 509) 15-B-2 Further data collection doc-5159 (page 509) 15-B-3 Advanced data collection doc-5160 (page 509) Book answers Progress Test 15B 15C Evaluating inquiry methods and statistical reports (page 511) Exercise 15C (page 518) Reflection (page 521) 15-C-1 Collecting and analysing data doc-5161 (page 518) 15-C-2 More collecting and analysing data doc-5162 (page 518) 15-C-3 Detailed collecting and analysing data doc-5163 (page 518) Interactivity Compare statistical reports int-2790 Book answers Progress Test 15C 15D Statistical investigations (page 521) Exercise 15D (page 525) Reflection (page 526) 15-D-1 Analysing reports doc-5164 (page 525) 15-D-2 Analysing reports in depth doc-5165 (page 525) 15-D-3 Analysing reports in greater depth doc-5166 (page 525) Book answers Progress Test 15D WorkSHEET 15.2 doc-5343 WorkSHEET 15.2 Answers

49 Closing pages Interactivities Chapter 15 Test A & solutions Summary (page 527) Mapping your understanding (page 528) Chapter review (page 529) Test yourself int-2867 Word search int-2865 Crossword int-2866 Chapter 15 Test B & solutions Achievement Practice test Chapter 15 Achievement Test Chapter 15 (Teacher Set)

50 Chapter 16 Financial maths Content strand: Number and algebra Sub-strand: Money and financial mathematics Australian Curriculum Content Strands Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies. working with authentic information, data and interest rates to calculate compound interest and solve related problems Section Chapter opening What do you know? (page 537) Hungry brain activity What does it take to be a millionaire doc-5344 Readiness Test Chapter 16 Are you ready? (page 538) SkillSHEET 16.1 doc-5345 SkillSHEET 16.2 doc-5346 SkillSHEET 16.3 doc-5347 SkillSHEET 16.4 doc-5348 SkillSHEET 16.5 doc A Purchasing goods (page 539) Exercise 16A (page 540) Reflection (page 542) 16-A-1 Simple interest doc-5167 (page 541) 16-A-2 Harder simple interest doc-5168 (page 541) 16-A-3 Tricky simple interest doc-5169 (page 541) Book answers Progress Test 16A

51 SkillSHEET 16.1 doc-5345 SkillSHEET 16.2 doc B Buying on terms (page 542) Exercise 16B (page 543) Reflection (page 545) 16-B-1 Buying on terms doc-4170 (page 544) 16-B-2 Buying on difficult terms doc-5171 (page 544) 16-B-3 Buying on tricky terms doc-5172 (page 544) Book answers Progress Test 16B SkillSHEET 16.3 doc-5347 WorkSHEET 16.1 doc-5350 WorkSHEET 16.1 Answers 16C Successive discounts (page 546) Exercise 16C (page 547) Reflection (page 548) 16-C-1 Successive discounts doc-5173 (page 547) 16-C-2 Difficult successive discounts doc-5174 (page 547) 16-C-3 Tricky successive discounts doc-5175 (page 547) Book answers Progress Test 16C SkillSHEET 16.4 doc-5348 SkillSHEET 16.5 doc-5349 SkillSHEET 16.6 doc D Compound interest (page 549) Exercise 16D (page 551) Reflection (page 553) 16-D-1 Compound interest puzzle 1 doc-5176 (page 551) 16-D-2 Compound interest puzzle 2 doc-5177 (page 551) 16-D-3 Compound interest puzzle 3 doc-5178 (page 551) Book answers Progress Test 16D Interactivity Compound interest int-2791

52 WorkSHEET 16.2 doc-5352 WorkSHEET 16.2 Answers 16E Depreciation (page 553) Exercise 16E (page 554) Reflection (page 556) 16-E-1 Depreciation doc-5179 (page 554) 16-E-2 Harder depreciation doc-5180 (page 554) 16-E-3 Tricky depreciation doc-5181 (page 555) Book answers Progress Test 16E elesson What is depreciation? eles-0182 Interactivity Different rates of depreciation int F Loan repayments (page 556) Exercise 16F (page 558) Reflection (page 559) 16-F-1 Repaying a loan doc-5182 (page 558) 16-F-2 Harder loan repayments doc-5183 (page 558) 16-F-3 Difficult loan repayments doc-5184 (page 558) Book answers Progress Test 16F WorkSHEET 16.3 doc-5353 WorkSHEET 16.3 Answers Closing pages Interactivities Chapter 16 Test A & solutions Summary (page 560) Mapping your understanding (page 561) Chapter review (page 562) Test yourself int-2870 Word search int-2868 Crossword int-2869 Chapter 16 Test B & solutions Achievement Practice test Chapter 16 Achievement Test Chapter 16 (Teacher Set)