Topic Planning Outline for STUDENT NAME Topic Trigonometry

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Topic Planning Outline for STUDENT NAME Topic Trigonometry Powered By Docstoc
					                                                          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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