# Topic Planning Outline for STUDENT NAME Topic Trigonometry

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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

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
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

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
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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