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CURRICULUM PLAN MAT106A/F TERM 3
Week
1
2
3
4
5
Monday
F 5/6 /
Semester 2, 2010
Tues
Wed
F 5/6
JULY 12
Simultaneous Eqn’s uses
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minimising loss
Graphing Simultaneous equations
EX 5 A p206 Text
Use grid paper
Copy BB p206 into Rule Books
SP: simultaneous, solution, linear, function,
graphical
18
19
21
Other methods are needed to find
simultaneous solution as graphical
not always practical
Solving Sim Eqn’s using
elimination method
Ex 5 B p213
BB p 213 into rule books
SE: algebraic, substitution, elimination
method
Simultaneous eqn’s substitution method
25
26
28
Sim Eqn’s substitution con’t
Sim Eqn’s – problem solving
QUADRATIC FUNCTIONS
Graphing what does it look like?
Axis of symmetry, turning point, intercepts
AUG 1
2
4
Sketching
Need to be able to solve to find x intercepts
Review of factorising equations
Solving a quadratic function
NULL FACTOR THEOREM
Solving using the formula
7
8
11 Athletics p7/8
SURDS
Solving Quadratics using formula
12 ,
20
27
3
10
14
Friday
F 3/4
11
SFD
simplifying simple surds
13
Thurs
15
22
29
5 ROCK EISTEDDFOD
12
Athletics Carnival
Discriminant – effect on graph
120 to assist in writing
solutions to quadratic functions.
6
15
16
Student Free Day
Families of eq’ns
Use of graphics calculator or fxgraph
Continue work on graphing by sketching using
the intercepts and turning point
23
24
26
Finding simultaneous solution of a
linear and quadratic,
Revision of Sim Eq’ns Surds and Quadratics
Assignment handed out – let students know
that the lessons in the week after camp will
be used to work on the assignment.
TEST
8
29
Year 10 Camp
30
31
SEPT 1
2
9
5
6
7
8
9
7
Applications of quadratics end of
chap 4 Maths Quest 3 p194
10
12
SATS – work exp
ASSIGNMENT DUE (students on WE will
need to organise to get it here.
Statistics - Measures of central tendency
– mode, median, mean revision –
calculator method
17
25
Assignment work
13
14
Using calculator to find statistical measures
18
19
27
Assignment work
15 Year 10 RI today?
17ARTS DAY
Week
Monday
F 1/2 A 7/8
Tues
F 5/6
Wed
A 1/2
Thurs
F 7/8
Friday
A 3/4
11
OCT 3
Statistics – stem and leaf plot
4
5 number summary
Box and whisker Plots
5
6
5 number summary
Box and whisker Plots
7
12
10
11
12
13
14
TRIGONOMETRY UNIT
CIRCLE
13
17 SFD
18
19
20
21
14
24
25 SPEECH NIGHT
26
27
28
Simplifying DIFFICULT, ALGEBRAIC
FRACTIONS P178 -188
15
30
NOV 1
2
Simplifying expressions involving Surds addition and subtraction
3
4
Surds – multiplication and division
16
7
Rationalising the denominator -
8
9
Rationalising the denominator
10
REVISION
11 SPORTS AWARDS NIGHT
17
14
Exams
15
16
17
18 (YR 12 LAST DAY)
18
21
22
23
24
25 (YR 10 &11 LAST DAY)
Simultaneous Equations
Students should be able to:

solve two equations in two unknowns using
1. Graphical method (solutions are integers).
2. Elimination method (solutions are integers or easy rational solutions ( ½ , ¼ , 1/3
etc)).
3. Substitution method (solutions are integers or easy rational solutions ( ½ , ¼ , 1/3
etc)).
4. Use simultaneous solutions for solving life like problems.
Quadratic Functions
Students should be able to:

Plot the graph of a quadratic function

From the graph identify the turning point as a maximum/minimum, the intercepts and axis of
symmetry.

Factorise quadratics (in order to find the intercepts) -students have already factorised quadratic
expressions by decomposition and inspection but will need to learn the null factor theorem and
the quadratic formula for finding the solutions to quadratic equations.

Sketch a quadratic using the intercepts and turning point, dilation.

Identify the number of x intercepts by using the discriminant.
Statistics
Students should be able to

Calculate measures of central tendency: Mode, median, mean.

Calculate measures of spread: range, IQR.

Construct a Stem and leaf plot for a set of data

Write the 5 number summary for a set of data

Construct a Box and whisker plot for a set of data
The emphasis should be on ungrouped data.
Unit circle trigonometry (see unit on G drive
G:\Coredata\Curriculum\Mathematics\Unit Plans\Year 10\EXTN\Unit Circle Trigonometry)
Students should be able to
 Use a trig master to find sine, cosine and tangent ratios
 Calculate basic trigonometric ratios
 Use trig ratios to find lengths of sides in right angle triangles.
Simplifying DIFFICULT, ALGEBRAIC FRACTIONS
Students should be able to
 Simplify an algebraic fraction by factorising the numerator and denominator and cancelling
common factors (numerical: 2, algebraic: a, c2,or binomial: (x – 2) ).
 Add/subtract fractions involving binomial numerators and numeric denominators

Add/subtract fractions involving binomial factors in the denominator. eg
Surds –
Students should be able to
 Simplify expressions involving surds
 Rationalise the denominator
2
4
+
x+ 3
x– 4