Question 1 (a)

Teaching and learning activities

Topic : additional (matrix)

Learning outcomes: At the end of this lesson, students will be able to

a. understand the basic additional concept of matrix

b. determine the column and the row of arrays

c. write the simple matrix

d. Add the simple matrix

Prior knowledge : Students have the basic of addition

Materials : Small card numbers, small card of shape pictures.

Activities and questions will be asked to your pupils:

Step 1:

Pupils will be divided into 5 or 6 groups

Pupils will be asked to set two group of shape in two parts.

For example;

Part one Part two

1

Step two;

Pupils will be asked to arrange the shapes in two rows and two columns.

Part one Part two

Step three;

Pupils will be asked to put them in matrix shape.

Part one Part two

2

Step four;

Pupils will be asked to change the shapes with any different numbers from 1 – 10

Part one 1 5 Part two 4 7

3 2 9 6

Step five;

Pupils will be asked to name each part with letters A and B

A = 1 5 B = 4 7

3 2 9 6

3

Step six;

Tell the pupils how to add A and B with the function of A + B

A = 1 5 + B = 4 7

3 2 8 6

1 + 4, 5 + 7, 3 + 9, 2 + 6 where A + B = 4, 12, 11,10, then ask pupils to write them in

matrix form;

A 1 5 + B 4 7 where C = A + B 4 12

3 2 9 6 11 10

This is the basic concept of matrix where we call 2 by 2.

The next lesson will be different type of matrix such as 2 by 3 or 3 by 3.

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Question 1 (b)

Step one:

The form 4A, B, and C classes have the same 50-questions quiz where the result is as in the

table. Let us restrict ourselves to: boys and girls, this is how would one represent the data

collected;

Boys Girls

A 48 49

50 – Question quiz = B 42 40

C 37 36

Step two:

Then we can say if we have no problem confusing the genders and what the marks are, then

we may write

A a b

50 – Question quiz = B c d

C e f

5

Step three:

After all we can say to pupils

a b

50 – question quiz = c d is a matrix call 2 by 3

e f

Question 1 (c)

X = cost of small portion

Y = cost of large portion

20x + 12y = 244

30x + 10y = 282

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Question 2( a )

The properties of the quadratic equation graph:

(a) A quadratics function is always expressed as f(x) =ax2 + bx + c , where a, b, and c

are constants and a≠ 0.

(b) A quadratics functions graph is parabola shaped

(c) The shape and the positions of the graph depends on the value of a and b2 – 4ac>0

a > 0 and b2 – 4ac>0

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Question 2 ( b )

Lesson Plan

Topic : Function/graph

Learning objective : At the end of this lesson, students will be able to solve basic function of

polynomial equation and sketch the graph by finding x and y intercept

Learning outcomes : a. understand the basic function

b. determine the x and y intercept

c. Sketch the graph by finding x and y intercept

Prior knowledge : Knowing the basic of mathematical operations

Materials : text book, power point slide, worksheet

Time Activities Achievement

Step 1

(05 minutes )

1. Ask pupils regarding mathematics

function

2. Pupils are encourage to answer the

question by just accepting their

answers

-Teacher shows them the

real

function in Mathematics

- Pupils get the answer.

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Step 2

( 15 minutes )

1. Teacher show a power point slide

( on how to solve a polynomial

function and get x and y intercept)

2. Teacher asks pupils solve a function

which is similar to what function in

power point.

- Pupils get;

how to solve f(x)=x^2-4x-5

and get ;

( x , y ) = ( 2 , -9 ) and ( x , y

) = ( -1 , -9 )

By solving the above

fuction.

Step 3

( 07 minutes )

1. Teacher show pupils how to sketch

the graph

2. Pupils are encourage to do the graph

themselves

- Pupils get the answer

Step 4

( 03minutes )1. Teacher asks pupils to solve 1

question freely

2. Teacher destrbutes worksheet for

homework

- Pupils are

encouraged to

practice more.

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- 1 1

-9

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