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Mathematics Workshop

Mathematics Workshop. For Parents. 25 April 2009. Objectives. * Help parents have a better understanding of how a Mathematical problem is solved. * To show parents how pupils should present their solutions. WHY ARE THEY NOT ABLE TO DO THE PROBELMS?. Too difficult.

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Mathematics Workshop

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  1. Mathematics Workshop For Parents 25 April 2009

  2. Objectives * Help parents have a better understanding of how a Mathematical problem is solved. * To show parents how pupils should present their solutions.

  3. WHY ARE THEY NOT ABLE TO DO THE PROBELMS? Too difficult Do not understand Question too long Not able to pick out the gist of the question Language Simply give up

  4. Steps To Problem Solving Understand Plan/Devise Check Do/Carry Out For more detailed explanation, please refer to the Mathematics Department webpage at http://www.hougangpri.moe.edu.sg/cos/o.x?c=/wbn/pagetree&func=view&rid=75673

  5. Patterns

  6. ? ? What is next? Answer What about this? Answer

  7. Complete the number pattern shown below : 18 20 8 , 9 , 10 , 12 , 13 , 14 , 16 ,17 , ____, ____ +1 +1 +2 +1 +1 +2 +1 +1 +2 1 850 800, 850, 950, 1 100, 1 300, 1 550, ______ +200 +50 +100 +150 +250 +300

  8. Now try this : Some bricks are arranged as follows: Fig. 1 Fig. 2 Fig. 3 • How many bricks are there in Fig. 8? • How many bricks are there in Fig. 10?

  9. 1 + 2 + 3 + 4 10 8 36 1 + 2 + 3 + 4 + … + 8 10 10 55 1 + 2 + 3 + 4 + … + 9 + 10 (a) There are 36 bricks in Fig. 8. (b) There are 55 bricks in Fig. 10.

  10. Some oval beads are arranged as follows: Pattern 1 Pattern 3 Pattern 4 Pattern 2

  11. The pattern observed for the four patterns are recorded in the table below. a) How many oval beads are there in Pattern 12 ? b) What pattern is formed by 484 beads ?

  12. a) 1 = 1 x 1 = 12 4 = 2 x 2 = 22 9 = 3 x 3 = 32 16 = 4 x 4 = 42 Pattern 12 – 12² = 12 x 12 = 144 There are 144 beads in Pattern 12.

  13. b) Pattern Number = √No. of beads Pattern observed Therefore, Pattern Number = = 22 Pattern 22is formed by 484 beads.

  14. The figure is made up of 4 levels of blocks stacked against a corner. The pattern observed are recorded in the table below.

  15. Find the number of blocks needed to make up 7 levels. b) How many more blocks must be added to a 20-level high figure to form a 21-level high figure?

  16. What pattern do you observe? =1 + 22 =1 + 22 + 32 =1 + 22+32 + 42 140 1 + 22 + 32 + 42 + 52 + 62 + 72 7 a) 7 levels require 140 blocks. b) No. of blocks required – 21 x 21 = 221

  17. Guess & Check Systematic Listing

  18. 4 chickens and rabbits have 10 legs altogether. How many chickens and how many rabbits are there? Rabbits Chickens Total No. No. No. Legs Legs Legs 2 4 2 8 4 12 3 6 1 4 4 10 There are 3 chickens and 1 rabbit.

  19. A spider has 8 legs. A dragonfly has 6 legs. 6 spiders and dragonflies have 40 legs altogether. How many spiders and how many dragonflies are there?

  20. Dragonfly Spiders Total No. No. No. Legs Legs Legs 3 24 3 18 6 42 2 16 4 24 6 40 There are 2 spiders and 4 dragonflies.

  21. Cindy has 30 pieces of $5 and $10 notes. Her total savings is $220. How many pieces of $10 notes does Cindy have? $10 $5 Total No. No. No. Amount Amount Amount 15 $75 15 $150 30 $225 16 $80 14 $140 30 $220 Cindy has 14 $10 notes.

  22. Samantha has 30 pieces of $2 and $5 notes altogether. The total value of the money she has is $120. Find the number of pieces of $2 notes and the number of pieces of $5 notes that Samantha has.

  23. $5 $2 Total No. No. No. Amount Amount Amount 15 $30 15 $75 30 $105 14 $28 16 $80 30 $108 12 $24 18 $90 30 $114 10 $20 20 $100 30 $120 Samantha has 10 $2 notes and 20 $5 notes.

  24. 80 Denny bought a total of 80 files and notebooks. Each file cost $6 and each notebook cost $2. If the total cost of the files is $120 more than the total cost of the notebooks, how many files and how many notebooks did Denny buy? $120 more

  25. Files Notebooks Total no. (80) Difference ($120) No. No. Amount Amount 40 40 $80 80 $160 $240 30 50 $100 80 $80 $180 35 45 $90 80 $120 $210 Denny bought 35 files and 45 notebooks.

  26. Darren has a total of 48 $2 and $5 notes. If he has $144 altogether, how many $2-notes and how many $5 notes does he have? 48 $2 and $5 notes $144

  27. $5 Total $2 Amount No. Amount Amount No. No. $48 $168 24 48 $120 24 26 48 $52 $162 22 $110 28 48 $56 $156 20 $100 30 48 $60 $150 18 $90 32 48 16 $64 $144 $80 Darren has 32 $2-notes and 16 $5-notes.

  28. Some books that you can use with your child : MathQuest Approach To Learning PSLE MATH Vol. 1 - Chok Sitt Fan & Karen Tsang, Butterfly Publications Solving Challenging Mathematical Problems – The Heuristics Approach for Primary School Fong Ho Kheong, Kingsfield Educational Services Sharpen Your Skills For Problem-Solving Anne Joshua, Longman Thinking Maths Tan Ger Imm & Lee Pey Ren, EduPro Station, Singapore

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