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Year 10 Student Plan – MEASUREMENT LESSON AIM CLASSROOM INVESTIGATIONS CONSOLIDATIO ENRICHMENT EXTENSION N 1 Learn Perimeter Formulae P320 Work out the perimeter of a circle by measurement Ex 9B Q1 - Q4 Ex 9B Q14, 15 then by calculation 2 Learn Perimeter Formulae P320 Prove that the area of a parallelogram is the same as Ex 9B Q5-8 the area of a rectangle of the same base & Height 3 Learn area formulae P 327 Work out the area of a series of rectangles with the Ex 9C Q1 - Q6 same perimeter and graph length Versus width 4 Learn area formulae P 327 Demonstrate why the area of a square multiplies by Ex 9C Q7 to 10 a factor of 4 when the length doubles. Now ask the students to prove the same thing happens with a circle. 5 Learn Heron's Formula for area Ex 9C Q910QQ1 Teardrops P336 P335 6 Learn how to analyse and Create a net shape of a cylinder, Work out the total Ex 9D Q1-5 calculate total surface area P 336 surface area and construct the cylinder. 7 Learn how to analyse and Create a net shape of a square pyramid, Work out Ex 9D Q6-8 calculate total surface area P 336 the total surface area and construct the pyramid. 8 Learn how to calculate volume Use a 1 litre container to demonstrate the link Ex 9E Q1-5 Maximising and capacity between volume and capacity volume P347 9 Learn how to calculate volume Work out how to create a sphere that holds one litre Ex 9E Q6 to water tank and capacity of water. 810QQ2 worries P354 10 Measurement task The measurement task is the investigative assessment for this unit of work 11 revision Chapter review P365 12 Measurement Test FRACTIONS LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Learn types of fractions Place fractions on a rope Ex 2-A Q1 to Fractions & Divison Extension P51 number line Q13QFTD: Skillsheet P51 2A 2 Learn about equivalent fractions Make equivalent fractions Ex 2-B Q1 to Q14 Crazy cancelling P55 Extension P55 on computer and play a game 3 To Add & subtract fractions Make question and answer P56Ex 2-C Q1 - Halve it, add it on Extension P59 fraction cards on computer Q9QFTD: Activity 2- P59 and play a game. 7 to 9 4 To Multiply fractions P60 Hotmaths Presentation Ex 2-D Q1 -Q14 Smaller or larger P63 Extension P63 LHSQFTD: Activity 2-10 to12 5 To divide fractions P64 Hotmaths Presentation Ex 2-E Q1 - Dividing by zero P67 Extension P67 Q16QFTD: Activity2- 13 to15 6 Learn about squares & square roots Hotmaths Presentation Ex 2-F Q1 -Q12 Going further P71 Extension P71 of fractions P68 LHSQFTD: Activity 2-16 to18 7 Learn about mixed operations with Creating order of Ex 2-G Q1 - Ideal fractions P73 Extension P 73 fractions P72 operations questions and Q4QFTD: Mix it up answers on the board: From Activity2-19 to 21 easy to difficult. 8 Class revision P75 9 Revision & test QUADRATIC GRAPHING LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 To plot parabolas Ex 5A Q4, 5, 6 1 To plot parabolas 2 o sketch parabolas Part 1 Graphing the parabolas on Ex 5B Q1 to 7 2 o sketch parabolas the graphic calculator Part 1 3 Learn how to sketch parabolas Part Graphing the parabolas on 3 Learn how to sketch 2 the graphic calculator parabolas Part 2 5 To sketch parabolas in Turning Graphing the parabolas on Ex 5C Q1 to 7 5 To sketch parabolas in point form the graphic calculator Turning point form 4 To use quadratic graphing to analyse Design your own water 4 To use quadratic a practical situation featiure P174 graphing to analyse a practical situation 6 To sketch parabolas in extended Graphing the parabolas on Ex 5D Q 1 to 7 6 To sketch parabolas in equation form the graphic calculator extended equation form 7 To complete a mathematical Classpad Investigation 7 To complete a investigation on the graphic mathematical calculator investigation on the graphic calculator 8 To complete worded problems The ball thrown in the air 8 To complete worded problems 9 Revision Chapter review & 9 Revision summary 10 Test 10 Test TRIGONOMETRY LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Angles/ calculator P479 Ex 12A Q1 to 8 Puzzle P485 2 Use Trig Ratios Part 1 Can you find an angle Ex 12B Q1 whose sine is greater than 0.5 3 Use trig Ratios Part 2 Can you work out a Trig Ex 12C Q1- Q8 ratio given the diagram and information on the board 4 Trig Applications P493 Make up a question for an Ex 12D Q1 to 14 Satellite Height P499 application of trigonometry in real life. 5 Bearings P500 Ex 12E Q1 to 5, 7, Which way did I go P509 6 Unit Circle P509 Ex 12 F Q1to 7 7 Circular functions P515 Ex 12G Q1 to 12 8 Trig Graphs P521, Ex 12 H Q1 to 5, 10 9 Revision and review Summary P524/5 Chapter review P526 to 528 10 Assessment Test/Task STATISTICS LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Collecting data P589 Ex 14 A QQ1-Q6 2 Presenting categorical and discrete List a number of events for Ex 14B Q1 - data students to categorise 5.7,8,11,12, 3 Learning about grouping into class The CIRCLE task Ex 14C Q1 - Q7,9 Misuse of graphs P618 intervals P 607 4 Learning about measures of central Find the measures of central Ex 14D Q1 - Q6, Q8 tendency tendency for the last test the class participated in. 5 learning about measures of spread Ex 14E Q1 - Q9 Standard deviation P637 P629 6 Learning about bivariate data P360 10QQ2 Page 650 Conducting a statistical inquiry P638/ 7 How to ctreate a line of best fit P651 Who owns gold coins P639 8 Summary & revision P673 9 Test ALGEBRA AND EQUATIONS LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Operations with pronumerals Ex 2A Q1 -Q6 2 Substitution into expressions P47Ex For the given rectangle, the Ex 2B Q1 -Q9 10QQ1 Career profile P54 2 width is x and the length is (x Page 537 +5)if the perimeter is 100, find the length and width of the rectangle 3 Expanding P51 For the given rectangle, the Ex 2C Q1 - Musical notes P69 width is (x -1)and the length is Q710QQ2Page 68 (2x +3). Find the area. 4 Solving basic equations P63 Ex 2G Q1 - Q14Puzzle Dance Fever P77 P77 5 Solving more complex equations Ex2H Q1 - Q4, P70 6 Solving inequations P74Ex2I Q1 - Q6, 7 P78Chapter Review & P79 Summary 8 Test INDEX LAWS AND EXPONENTIAL FUNCTIONS LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Learn the first four Index laws P279 Ex 8A Q1-4 P279 2 Learn the first four Index laws P279 Ex 8A Q4 to 7 P27910QQ1 Page 287 3 Negative IndicesP28Fractional Graphical Calculator Ex 8B Q1 - Q4, Q5Ex Indices P288 workW/E. 9 on P289 8CQ1 - Q10 4 Further Use of Index Laws P294 Homework sheet 8.1 Q7 - 30 Ex8D Q1 - Q 5 LHS, Q6, Q9 5 Exponential Functions & Graphs Graphical Calculator work Ex 8E Q1, 2, 5, 8, 11, Further Exponential P298 14, 15 Puzzle P303 Graphs P302 6 Modelling Exp Growth & decay P30 Homework sheet 8.2 Q7 - 30 Ex 8F Q1 - 7 10QQ2 A growing Investment P304 P311 7 Investigations Investigation booklet 8 Revision Sample test A Summary P312Chapter Review P313 9 Test LINEAR GRAPHS AND MODELLING LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Plotting Linear graphs P83 Ex 3A Q1ac, Qacde 2 Sketching linear graphs P85Ex 3B Q1-Q4 LHS 3 Sketching linear graphs Sketch y =2x-1 and y= -0.5x P85Ex 3B Q1-Q5 LHS +4 and comment 4 Using the graphics calculator to Ex 3B selection 10 QQ sketch linear graphs ! P92 5 Finding linear equations Provide students with a graph Puzzle P97 and y=mx+c and ask them to find m & c P92Ex 3C Q1 - 5 6 Linear modelling P100 Ex 3D Q1, 3, 4, 6, 8, Old Geyser P102 10QQ2 P103 7 Sketching linear Inequations P103 8 Chapter review & Summary P109 9 Test QUADRATIC EQUATIONS LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Expanding quadratic equations P Ex 4A Q1 -Q9(LHS) Ex 4A Q10 -Q12 113 2 Factorising expressions with two or Ex 5B Q1 - 14 (ESQ four terms P118 3 Factorising expressions with 3 terms P124Ex 4C Q1 - Q9 Quilt Squares P 125 5 Factorising by Completing the Ex 4D Q1 - Q5 10QQ1 square P121 P131 6 Mixed factorisation P130 Ex 4F Q11 - Q20 P135 7 Solving quadratic equations P131Ex 4F Q1 - Q10 Finding solutions to quadratic interpolationP 144 8 Using the quadratic formula P137Ex 4G Flying dolphin P148 P13810QQ2 P139 9 Finding solutions to quadratic Ex 4H Q1- Q4 equations by inspecting graphs P140 10 Using the discriminant P144 Ex 4I Q1 - Q6 11 Revision Revision & summary P149 12 Test 1 Expanding quadratic equations P Ex 4A Q1 -Q9(LHS) Ex 4A Q10 -Q12 113 PROBABILITY LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS 1 Learn basic probability Ex 13A Q1 to Q21 2 Complementary events P545 Produce shaded diagrams to Ex 13B Q1 to 8 indicate compementary events 3 Complementary events P545 Ex 13B Q9 to 12 4 Mutually exclusive events P550 Ex 13 C Q1 TO 10 10 Challenge p554 Quick Questions P 549 5 Two-way tables P554 Ex 13D Q1 16 6 Tree diagram 7 Independent and dependant events The coin die sample space. set Ex 13 E Q 1 to P566 up a tree diagram and link to 13Puzzle p 569 independent events 8 Karnaugh maos P570 Complete the kernaugh map Ex 13F Q1 to 1210 that is written on the board. Quick Questions 2 p Find Pr(AuB) 579 9 Chapter review 10 Test LESSON AIM CLASSROOM CONSOLIDATION ENRICHMENT EXTENSION INVESTIGATIONS

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