parent workshop - edgefield primary school files...parent workshop mathematics 4 april 2018 overview...
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Parent WorkshopMathematics4 April 2018
Overview
• Problem solving process
• Common skills tested in PSLE
• Types of problem tested in PSLE
Mathematics Framework
Concepts
Numerical
Algebraic
Geometrical
Statistical
Probabilistic
Analytical
Numerical
calculation
Algebraic
manipulation
Spatial visualisation
Data analysis
Measurement
Use of mathematical
tools
Estimation
Reasoning,
communication and
connections
Thinking skills and
heuristics
Application and
modelling
Beliefs
Interest
Appreciation
Confidence
Perseverance
Mathematical Problem Solving
Monitoring of one’s own
thinking
Self-regulation of learning
Understand
Plan/Devise
Do/Carry Out
Check
Understand• Students can use the following to help them
to understand the problem better.
- Models
- Pictures
- Tables
Plan for a strategy • Students can use one or a combination of the
strategies below :
- Models : Comparison, part-whole
- Guess and Check
- Assumption
- Branching
- Before and After and many more ….
- A combination of a few strategies
Do / Carry out• Students will work out the
solution by apply the strategy planned.
- For effective problem solving, students must have good mastery of cognitive skills / basic algorithms (eg: 4 operation of whole numbers, fractions, decimals, conversion etc) is essential.
Models / Tables / Pictures
Equations
Working
Statement
Check• Students need to check if the answer they
obtained make sense
• They need to check the reasonableness of their answer
Grouping / Sharing Concept
A B C D D C B A A B C D D C B A …..?
1st 16th 69th
There are 8 alphabets in 1 group.
There are altogether 69 alphabets. What is
the 69th alphabet?
69 ÷ 8 = 8 R 5
.R1 R2 R3 R4 R5
So the 69th alphabet is
A B C D D
D
4 teams of students washed cars for charity. They
collected $10 for washing a small car and $15 for a
big car. The table shows the number of cars
washed by 3 of the teams.
Team D washed as many cars as Team A but
collected $30 more How many big cars did Team D
washed?
Teams Number of cars washed
small big
A 15 5
B 11 9
C 8 10
A collected 15 x $10 + 5 x $15 = $225
Number of cars washed by Team A = 15 + 5 = 20
D collected $225 + $30 = $255
Number of cars washed by Team D = 20
Assume only small cars are washed
20 x $10 = $200
$255 - $200 = $55
…………………..20
$10 $10 $10 $10 $10 $10 $10
$5 $5 $5 $5 $5
$55 ÷ $5 = 11There are 11 big cars.
The average height of a group of children was
139.4 cm.
When Mr Tan measured and recorded the height
of these children, he wrongly recorded one child’s
height as 192 cm when it should have been 129
cm. As a result, Mr Tan calculated the average
height as 142.4 cm.
How many children were there in the group?
Child 1 Child 2 Child 3, ……., Child(x-1) Child x
Actual: 139.4 139.4 139.4, …………, 139.4 139.4
Wrong : 142.4 142.4 142.4, …………., 142.4 142.4
3 3 3 3 3
Excess : 192 – 129 = 63
63 ÷ 3 = 21
There were 21 children in the group.
Models
• 4 girls shared the cost of a cake equally. When calculating
for each share, one of the girls made a mistake by dividing
the cost of the cake by 3 instead of 4. Each girl paid $2.40
more than her share. What should be the correct amount for
each share?
$2.401 unit = $2.40
3 units = $2.40 x 3 = $7.20
The correct amount for each share was $7.20.
• Mr Lee baked 185 more chicken than tuna pies. After
selling 3
5of the chicken pies and half of the tuna pies,
he had 146 pies left. How many tuna pies did he sell?
Chicken :
Tuna
185
3
5=
6
10
2
5x 185 = 74
9 units = 146 – 74 = 72
1 unit = 72 ÷ 9 = 8
5 units = 8 x 5 = 40
Amount of drink : 7.2
3 Large
bottles
5 small
bottles0.5 0.3
1
small
1 large bottle
Difference : 0.3 + 0.5 = 0.8
1 large bottle can hold 0.8 litres more than 1
small bottle
Visualisation
• In the figure below, ABDF and BCEF are rectangles and
CDE is a straight line. AB = 6 cm, AF = 8 cm and
BF = 10 cm. Find the length of BC
10cm
B
A
C
D
E
F
6 cm
8 cm
John used 1-cm cubes to build the structure below.
The top view has been drawn in the square grid below.
Draw the front and side views of the structure in the grids
below.
Top view
side view
Front view
Pattern
True/ False / Not Possible to tell
Statement True False Not possible
to tell
Total mass of D and E is
24 kg.
Mass of D is greater than
the total mass of A and B.
Average mass of the 5
boxes is 14.4 kg.
√
√
√
In Mariam’s aquarium, there are swordtails and guppies.
25% of the fishes are swordtails. She then buys an equal
number of swordtails and puts them into the aquarium.
Statement True False Not possible
to tell
Percentage of guppies will
remain the same.
Percentage of swordtail
increased by 50%.
√
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Parents’ Evaluation and FeedbackFor Parents’ Workshops 2018
• Please scan the QR Code or use the link to give us your valuable feedback. Thank you.
https://tinyurl.com/y9m65zxr
Parents’ Workshops 2018
• Presentation slides will beavailable on our school websitewithin one week after theworkshops.
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