Pdp Berkesan Untuk Matematik Tambahan 2014
-
Upload
norelyana-ali -
Category
Documents
-
view
39 -
download
8
description
Transcript of Pdp Berkesan Untuk Matematik Tambahan 2014
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