Pdp Berkesan Untuk Matematik Tambahan 2014
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PdP BERKESAN MATEMATIK TAMBAHAN 2014
UNTUK GURU-GURU DAERAH GOMBAK
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Fokus Bengkel
2
BEAMS
What STRATEGIES
WHAT QUESTIONS?
CALCULATORS?
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BEAMS MODULE
• Negative Numbers• Fractions• Algebraic Expressions/Formulae• Linear Equations• Indices• Coordi ates and graphs of functions• Linear Inequalities• Trigonometry
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Division of Fractions
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Fokus Bengkel Intervensi
24
What’s wrong?
What questions can you answer?
What if?
What’s the question if you know the answer?
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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.
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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?
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•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
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STRATEGIES• 1 APPLYING DIFFERENT SOLVING
METHODS• 2 WHAT’S WRONG ?• 3 WHAT IF………….• 4 WHAT QUESTIONS CAN YOU ASK ?• TIPS TO HELP STUDENTS
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01.010
2101log
31000logint)(
1000log)log(log)(1000
2
10
10
101010
p
hmp
hcerceptcXmYb
pxyapy x
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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.
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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 …………………
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THANK YOU