PdP BERKESAN MATEMATIK TAMBAHAN 2014

UNTUK GURU-GURU DAERAH GOMBAK

Fokus Bengkel

2

BEAMS

What STRATEGIES

WHAT QUESTIONS?

CALCULATORS?

BEAMS MODULE

• Negative Numbers• Fractions• Algebraic Expressions/Formulae• Linear Equations• Indices• Coordi ates and graphs of functions• Linear Inequalities• Trigonometry

Division of Fractions

Fokus Bengkel Intervensi

24

What’s wrong?

What questions can you answer?

What if?

What’s the question if you know the answer?

Contoh

•Apabila diminta menyelesaikan (a) 8m – m, dan (b) 5x + 3y, Raja menunjukkan jawapan seperti berikut:

What’s wrong?

(a) 8m – m (b) 5x + 3y = 8 = 8xy

Terdapat kesilapan dalam jawapan Raja.Jelaskan kesilapan dalam jawapan Raja. Tunjukkan jawapan anda.

2 kg bungkusan tanah yang berharga RM5 boleh diguna untuk menanam 4 pohon bunga dalam pasu.

Tuliskan dua soalan yang boleh anda jawab menggunakan maklumat yang diberi. Soalan 1:

Soalan 2:

Cari jawapan kepada soalan-soalan anda. Tunjukkan langkah-langkah penyelesaiana anda.

ContohWhat questions can you answer?

•Diberi y = 2x. Cari nilai x apabila y > x + 3?•Apakah nilai x sekiranya

• y = 4x -6?• y = - x?• y = - 2x?• y = - 3x?

•Janakan 5 lagi soalan “sekiranya” dan jawab soalan itu.•Perhatikan sebarang pola atau pemerhatian dan janakan satu peraturan menyelesaikan ketaksamaan linear.

What if? Contoh

STRATEGIES• 1 APPLYING DIFFERENT SOLVING

METHODS• 2 WHAT’S WRONG ?• 3 WHAT IF………….• 4 WHAT QUESTIONS CAN YOU ASK ?• TIPS TO HELP STUDENTS

01.010

2101log

31000logint)(

1000log)log(log)(1000

2

10

10

101010

p

hmp

hcerceptcXmYb

pxyapy x

WHAT QUESTIONS CAN YOU ANSWER?

• 1 What is the maximum value of y?• 2What is the value of k? • 3 From the function f(x) = – ( x – 2) 2 + 3k,

what is the maximum value of f(x)?• 4 What is the value of xm when y is

maximum?• 5 Express f(x) in the form ax2+ + bx+c and vice

versa.

WHAT QUESTIONS CAN YOU ANSWER?

• 6 What is the roots of the function?• 7 How to determine the value of p?• 8 Give the formula to determine the solution

of f(x) =0.• 9 What is the significance of the formula?• 10 How to determine sum of two roots and

product of two roots?• 11 …………………

THANK YOU