Year 7 Mathematics: Unit 3 Decimals, Percentages and Money.

Transcription

1 Year 7 Mathematics: Unit 3 Decimals, Percentages and Money. Trinity ay SHS Hoare Street PO ox 5071 Phone: Teachers: 7- Mrs nglim 7- Mr Ward 7C- Mrs Staples 7D- Mr Kass 7E- Mrs Stewart 7F- Ms rcher-hardy 7G- Mr Kass 7H- Ms Mison 7J- Ward 7K- Ms Mison 7L- nglim 7M- Vikionkorpi 7N - Mr East Notes: Timings are approximate and will vary. Week 1 Differentiated content Decimals Place value and comparing decimals. Converting decimals to fractions and fractions to decimals. Rounding and repeating decimals. Cairns Show Holiday dding and subtracting decimals. Multiplying decimals (including by multiples of ). Dividing decimals (including by multiples of ). Consolidation/ Revision Students require the textbook Maths Quest 7 or digital equivalent ssessment (checking answers with the textbook) Tasks page numbers: (print) [digital] Ex 6. Q 1-6 Q 1-19 (p06), [p05] Ex 6.3 Q1-5 Q1-9 (p11) [p11] Ex 6.4 Q1- (p16) [p15] Ex 6.5 Q1-3 (p0) [p0] Ex 6.6 Q1 18 (p7) [p6] Ex 6.7 Q1-19 (p3), [p3] Consolidation/ Revision 3 Percentages Percentages as fractions Percentages as decimals Fractions and decimals to percentages Finding percentages of an amount Ex 7. Q1-17 (p48) [p50] Ex 7.3 Q1-13 (p50), [p54] Ex 7.4 Q1-5 (p54), [p56 Ex 7.5 Q1-6 (p61), [p6] 4 Parent teacher interview s Diagnostic Quiz One amount as a percentage of another. Common percentages & shortcuts. Money Money. Money and percentages Unitary method. est uys Consolidation/ Revision (as informed by diagnostic quiz) Revision and Consolidation Revision and Consolidation lgebra Using rules. Finding a formula Substitution. Consolidation/ Revision Terms, expressions & equations. Simplifying & the distributive law. The associative law. Consolidation/ Revision Diagnostic Quiz Summative Ex 7.6 Page Q1-0 (p66) [p68] Ex 7.7 Q1-1 (p71) [p73] Ex 18. Q1-1 (p675), [p698] Ex 18.3 Q1-18 (p679), [p70] Ex 18.4 Q1-18 (p683) [p706] CC Resources Ex 8. Q1-1 (p89), [p89] Ex 8.3 Q 1-16 (p94) [p94] Ex 8.4 Q1-1 (p98), [p300] Ex 8.5 Q1-17 (p306), [p306] Ex 8.6 Q1-14 (p313), [p31] Ex 8.7 Q1-8 (p317) [p317] Consolidation/ Catch Up (s informed by exam and classwork.) Term 3 Jnr 018 5/06/018 Page 1

2 Literacy Considerations: pply Calculate Define Determine Draw Diagram Complex Evaluate Identify Expression Equation Equal Function Formulate Interpret Express Operation Label Find Substitute Factorise Round Respectively Simplify Solve Units Value Pronumeral Variable Index Indices Power Product Numerator Denominator Rational Degree -Dimensional Degrees 3-Dimensional Minutes Triangle Seconds Right-angle djacent Side Opposite ngle Direction Height Ratio Diagonal Scale Linear Straight Line Gradient Intercept Coordinates Point Length Distance Parallel Perpendicular Distributive Mode Mean Median Range Literacy Strategies: Refer to the RUM manual Reading Unlocks Meaning. Strategies adopted in Maths are: Strategy 1: SCN Survey the headings, Capture the visuals, ttack the boldface words, Note the chapter questions. Strategy 9: KWL chart Know, Want to know, Learned. Processes: Compare fractions using equivalence. Locate and represent positive and fractions and mixed numbers on a number line (CMN15) Solve problems involving addition and subtraction of fractions, including those with unrelated denominators (CMN153) Multiply and divide fractions and decimals using efficient written strategies (CMN154) Express one quantity as a fraction of another, with and without the use of digital technologies (CMN155) Round decimals to a specified number of decimal places (CMN156) Connect fractions, decimals and percentages and carry out simple conversions (CMN157) Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (CMN158) Term 3 Jnr 018 5/06/018 Page

3 Year 8 Mathematics Course Planner Unit 4 Statistics & Probability Unit 5 Measurement Term 3, 018 Trinity ay SHS Hoare Street PO ox 5071 Phone: Teachers: 8 Mr Plume 8 Mr Milne 8C Mrs Howarth 8D Mr Nagle 8E Ms ramley 8F Mr Plume 8G Mr Faithfull 8H Mr Marshall 8J Mr Vikionkorpi 8K Mr Nagle 8L Mrs Stewart 8M Ms Greaves (CMSP04) Identify complementary events and use the sum of probabilities to solve problems. (CMSP05) Describe events using language of at least, exclusive or ( or but not both), inclusive or ( or or both) and and. (CMSP9) Represent events in two-way tables and Venn diagrams and solve related problems. (CMSP84) Investigate techniques for collecting data, including census, sampling and observation. (CMSP06) Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes. (CMSP93) Explore the variation of means and proportions of random samples drawn from the same population. (CMSP07) Investigate the effects of individual data values, including outliers, on the mean and median. (CMN186) Investigate the concept of irrational numbers, including π. (CMMG195) Choose appropriate units of measurement for area and volume and convert from one unit to another. (CMMG196) Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites. (CMMG197) Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area. (CMMG198) Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume. (CMMG199) Solve problems using 1- and 4-hour time within a single time zone. Week & Date 1 16 Jul 3 Jul 3 30 Jul 4 6 ug UNIT 4: Statistics & Probability Differentiated content CMSP04, 05, 06, 07, 84, 9, 93 C Census vs Sampling Ex 1. p373 Q s 1-11, Displaying Data Ex 1.4 p389 Q s 1-, 1, 13 Measures of Centre: Mean/Median/Mode Ex 1.5 p398 Q s 1- Measures of Spread Ex 1.6 p405 Q s 1, -4, 6-1 nalysing Data Ex 1.7 p411 Q s 1-3, 6, 7, Probability Scale Ex 13. p434 Q s 1-5 Experimental Probability Ex 13.3 p438 Q s 1-4, 6-8, Theoretical Probability Ex 13.4 p446 Q s 1-5, 14, 15, 16a,b, 19 Cairns Show Holiday Friday 0 th July Census vs Sampling Ex 1. p373 Q s 1-11, Displaying Data (not grouped data) Ex 1.4 p389 Q s 1-4, 8, 9 Measures of Centre: Mean/Median/Mode Ex 1.5 p398 Q s 1-1 Measures of Spread (not skewness) Ex 1.6 p405 Q s 1, -4, 6a, a, 11a Cairns Show Holiday Friday 1 July nalysing Data Ex 1.7 p411 Q s 1-3 Probability Scale Ex 13. p434 Q s 1-5 Experimental Probability Ex 13.3 p438 Q s 1-4, 6-8, Theoretical Probability Ex 13.4 p446 Q s 1-5, 14, 15, 16a,b,19a-d Census vs Sampling Ex 1. p373 Q s 1-6, 11 Displaying Data (not polygons/grouped data) Ex 1.4 p389 Q s 1,, 4 Measures of Centre: Mean/Median/Mode Ex 1.5 p398 Q s 1-1 Measures of Spread (not skewness) Ex 1.6 p405 Q s 1, 6a, a, 11a Probability Scale Ex 13. p434 Q s 1-5 Experimental Probability Ex 13.3 p438 Q s 1-4, 6-8 Theoretical Probability Ex 13.4 p446 Q s 1-5, 14, 15, 16a,b,19a-d Drama Night & TCS thletics Carnival 1 st ug, Year 8 Endeavour wards Thursday 0 ugust Complementary Events Ex 13.5 p45 Q 1- Venn Diagrams Ex 13.6 p458 Q s 1- Two-way Tables Ex 13.7 p466 Q s 1, 5-9, 16a-c (two-way tables only) Extension not assessed Tree Diagrams Ex 13F p39 Q s 1-9 (tree diagrams only) Complementary Events Ex 13.5 p45 Q 1- Venn Diagrams Ex 13.6 p458 Q s 1-9 Two-way Tables Ex 13.7 p466 Q s 1, 5-9 (twoway tables only) Parent Teacher Interviews Tues 7 th, Wed 8 th ugust In-Class ssignment: not to be taken home Conduct survey on Hoare Street, at front of school Mon 06 ug Tue 07 ug ssignment due Thu 09 ug Fri ug Complementary Events Ex 13.5 p45 Q 1- Venn Diagrams Ex 13.6 p458 Q s 1,, 8, 9 Two-way Tables Ex 13.7 p466 Q s 1, 5-9 (twoway tables only) ssessment In-Class ssignment Course Planner ssignment Term 3 JNR planners.docx 5/06/018 Page 3

4 Week & Date UNIT 5: Measurement Differentiated content CMN186, CMMG195, 196, 197, 198, 199 C ssessment 5 13 ug re you ready? p40 (red text) Converting Units Ex. p79 Q 1 MFQ1 Ex 5 p117 Q s 1-3 Perimeter Ex. p79 Q s -16 MFQ1 Ex 5C p11 Q s 3-1 Circumference Ex.3 p83 Q s 1-17 MFQ1 Ex 5E p16 Q s 1, re you ready? p40 (red text) Converting Units Ex. p79 Q 1 MFQ1 Ex 5 p117 Q s 1-3 Perimeter Ex. p79 Q s -16 MFQ1 Ex 5C p11 Q s 3-1 Circumference Ex.3 p83 Q s 1-17 MFQ1 Ex 5E p16 Q s 1, re you ready? p40 (red text) Converting Units Ex. p79 Q 1 MFQ1 Ex 5 p117 Q s 1-3 Perimeter Ex. p79 Q MFQ1 Ex 5C p11 Q s 3-8 Circumference Ex.3 p83 Q s 1-3 MFQ1 Ex 5E p16 Q s 1, re you ready? 6 0 ug 7 7 ug rea Rectangles Ex.4 p91 Q s 1-3 MFQ1 Ex 6C p144 Q s 1-4 MFQ1 Ex 6D p146 Q s 5-7 rea Parallelograms & Rhombuses Ex.4 p91 Q 7, 15, 16, 18-1 MFQ1 Ex 6E p148 Q s 1- rea Triangles Ex.4 p91 Q 6, 9,, 11, 13 MFQ1 Ex 6F p150 Q s 1, rea Kites Ex.4 p91 Q 3 rea Circles Ex.5 p96 Q s 1-3, 5-7 MFQ1 Ex 6G p153 Q 1 rea Trapeziums Ex.6 p300 Q s 1-7 Volume Rectangular Prisms Ex.7 p305 Q s k, l, 3 MFQ1 Ex 6J p158 Q Volume Triangular Prisms Ex.7 p305 Q s g-j, 5 Volume Other Prisms Ex.7 p305 Q s 4, 8, rea Rectangles Ex.4 p91 Q s 1-3 MFQ1 Ex 6C p144 Q s 1-4 MFQ1 Ex 6D p146 Q s 5-7 rea Parallelograms & Rhombuses Ex.4 p91 Q 7, 15, 16, 18-1 MFQ1 Ex 6E p148 Q s 1- rea Triangles Ex.4 p91 Q 6, 9,, 11 MFQ1 Ex 6F p150 Q s 1, rea Kites Ex.4 p91 Q 3 rea Circles Ex.5 p96 Q s 1-3, 5-7 MFQ1 Ex 6G p153 Q 1 rea Trapeziums Ex.6 p300 Q s 1-7 No Out Of School ctivity Week Volume Rectangular Prisms Ex.7 p305 Q s k, l, 3 MFQ1 Ex 6J p158 Q Volume Triangular Prisms Ex.7 p305 Q s g-j, 5 Volume Other Prisms Ex.7 p305 Q s 4, 8, rea Rectangles Ex.4 p91 Q s 1-3 rea Parallelograms & Rhombuses Ex.4 p91 Q 7 MFQ1 Ex 6E p148 Q s 1- rea Triangles Ex.4 p91 Q 6 MFQ1 Ex 6F p150 Q s 1, rea Kites Ex.4 p91 Q 3 rea Circles Ex.5 p96 Q s 1-3 MFQ1 Ex 6G p153 Q 1 Volume Rectangular Prisms Ex.7 p305 Q s k, l, 3 MFQ1 Ex 6J p158 Q Volume Triangular Prisms Ex.7 p305 Q s g-j, Sep Time Ex.8 p311 Q s, 6-11, 16, 17,, 3 1- & 4-Hour Time Ex.9 p317 Q s -6, 15, MFQ1 Ex 7D p180 Q s 1,, 5- Revision Converting Units Consolidation Time Time Ex.8 p311 Q s, 6-11, 16, 17,, 3 1- & 4-Hour Time Ex.9 p317 Q s -6, 15, MFQ1 Ex 7D p180 Q s 1,, 5- Revision Converting Units Consolidation Time Time Ex.8 p311 Q s, 6-1- & 4-Hour Time Ex.9 p317 Q s -4 MFQ1 Ex 7D p180 Q s 1,, 5-8 Revision Converting Units Consolidation Time 9 Sep Revision Perimeter & Circumference Revision rea Revision Volume Revision Test Formative Test 17 Sep Mon 11 Sep Tue 1 Sep /Feed Forward Summative Notes: 1. ll text questions are from Maths Quest 8 (MQ8 nd Ed. green) for the ustralian Curriculum, exercises from Maths for Qld 1 will be identified using MFQ1.. ll handouts and exercises from alternate texts will be available on Q: drive by the end of week lessons are to be conducted throughout the term. 4. Timings will vary from class to class. 5. Concentrate on behaviour management and class/school rules and expectations. 6. Use consolidation. Term 3 JNR planners.docx 5/06/018 Page 4

5 Year 9 Mathematics Course Planner Term 3 Pythagoras, Trigonometry, Measurement and Probability Trinity ay SHS Hoare Street PO ox 5071 Phone: Teachers: 9 Mr Kumar 9 Mr East 9C Mr Porsbro 9D Mr East 9E Ms Koetz-Trowse 9F Mr Kass 9G Mrs Howarth 9H Mrs Staples 9J Mr Kumar 9K Mr Faithfull 9L Mr Vikionkorpi 9M Mr Mclister Notes: Timings are approximate, and will vary from class to class. students will need to do the C level work as well as the level work. students will need to do the and C level work as well as the level work. Week Differentiated content ssessment Std.day Measurement (CMMG16, CMMG17, CMMG18) 1.1 C 1. C 1.3 C.1 C. C.3 C 3.1 C Convert units and calculate the perimeter of familiar shapes p381 Ex 1 Q4-9 Calculate the perimeter of composite shapes p383 Ex 1 Q13 a, b, d, e, j, 14-16, 18 Calculate the perimeter of complex composite shapes p383 Ex 1 Q13 c, f, g, h, i, 0, 1 rea of familiar and simple composite shapes p388 Ex 1 Q1-3 rea of familiar and composite shapes p388 Ex 1 Q4 c, d, I rea of familiar and simple composite shapes p388 Ex 1 Q4 a, b, f, j rea of familiar and composite shapes p388 Ex 1 Q5, 6 rea of complex composite shapes p389 Ex 1 Q4 e, g, h, 8, 11, 16 Perimeter and area of semi-circle p394 Ex 1C Q1 rea and perimeter of semi-circle and quadrants only p394 Ex 1C Q rea and perimeter of sectors p394 Ex 1C Q4-8 Surface area of cube and rectangular prisms p400 Ex 1D Q1 Surface area of triangular prisms p400 Ex 1D Q, 3 Problem solving involving surface area of prisms p4 Ex 1D Q4, 6, 7, 8, Volume of cuboids p411 Ex 1F Q1, Volume of rectangular prisms and irregular prisms with known area of cross-section p411 Ex 1F Q3, 4 Surface area of cylinders p405 Ex 1E Q 1,, 7, 8, 9 Volume of rectangular prisms and irregular prisms with known area of cross-section p411 Ex 1F Q3, 4 Volume of triangular prisms and cylinders p41 Ex 1F Q5, 6 3. C Volume of cuboids and rectangular prism review Simple problem solving with volume and capacity p413 Ex 1F Q7, 8,, 11, C/ Problem solving with volume and capacity p413 Ex 1F Q13, 19, 1 Pythagoras and Trigonometry (CMMG, CMMG3, CMMG4) Measurement re you ready? P C/ Pythagoras Theorem Right angled triangles p Ex 6 Q1-5 Pythagoras and 4. C Finding the length of unknown sides p173 Ex 6 Q1-15 Finding the length of unknown sides p173 Ex 6 Q1-15, 17, 18 Trigonometry - re you ready? 4.3 C Continue with finding the length of unknown sides p173 Ex 6 Q1-15 Composite shapes and problem solving p178 Ex 6C Q 1-4, 6, 8, p C Continue with finding the length of unknown sides p173 Ex 6 Q1-15 Continue with composite shapes and problem solving p178 Ex 6C Q 1-4, 6, 8, 5. C/ Review of Pythagoras Theorem and introduction into Trigonometry p188 Ex 6E Q1- SOHCHTO 5.3 C/ Trigonometric ratios p190 Ex 6E Q C Calculating unknown side lengths p196 Ex 6F Q1, 4 Calculating unknown side lengths p196 Ex 6F Q C Calculating unknown side lengths p196 Ex 6F Q5,, 11 Calculating unknown side lengths word problems p196 Ex 6F Q C/ Catch up lesson 7.1 C Calculating unknown angles p0 Ex 6G Q1, Calculating unknown angles p0 Ex 6G Q1,, 3, 4 7. C Calculating unknown angles p0 Ex 6G Q3, 4 Calculating unknown angles word problems p03 Ex 6G Q C/ Review of trigonometry finish any unfinished exercises ngles of elevation and depression p07 Ex 6H Q C Pythagoras and Trigonometry Revision p40 Chapter review Fluency Q1-13 p40 Chapter review Fluency Q14 8. C Pythagoras and Trigonometry Revision p4 Chapter review Fluency Q19a, b. e p4 Chapter review Fluency Q19 Problem Solving Q C/ Measurement Revision p14 Chapter review Fluency Q C Measurement Revision p14 Chapter review Fluency Q15-16, 0-6 Problem solving Q p14 Chapter review Fluency Q15-18, 0-6 Problem Solving Q C/ Summative 9.3 C/ Catch up exam / / Feed forward.1 C Introduction to Probability p431 Ex 13 Q1-8 Introduction to Probability p431 Ex 13 Q1-15. C/ Probability activities.3 C/ chievement ladders and dice / cards activities centring around probability ssessment 1 summative exam Literacy Word Walls Course Planner chievement Ladder Feed Forward Term 3 JNR planners.docx 5/06/018 Page 5

6 Measurement Unit Calculate Convert Unit Perimeter Familiar shapes Composite shapes rea Quadrant Surface area Prism Cuboid Volume Capacity Cylinder Pythagoras Theorem and Right angled triangle Sides ngles Pythagoras Theorem Hypotenuse Opposite djacent Trigonometry Unit Trigonometric ratios Sin Cos Tan Elevation Depression Equations and abbreviations Measurement Perimeter rea Surface rea P square = 4l P rectangle = (l + w) P circle = πr P sector = θ πr + r 360 square = l rectangle = lw triangle = 1 bh circle = πr trapezium = 1 (a + b)h parallelogram = bh sector = θ 360 πr S rectangular prism = (lh + lw + wh) S cylinder = πrh + πr Pythagoras s Theorem and Trigonometry SOH CH TO some old hags can t always hide their old age a + b = c cos θ = H sin θ = O H tan θ = O Term 3 JNR planners.docx 5/06/018 Page 6