Upload
others
View
4
Download
0
Embed Size (px)
Citation preview
Primary 3Topics
Whole Numbers
Fractions
Measurement (Length, Mass, Volume)
Measurement (Area and Perimeter)
Time
Money
Geometry
Data Analysis (Bar Graphs)
Primary 4Topics
Whole Numbers
Decimals
Fractions
Measurement (Length, Mass, Volume)
Measurement (Time, Area and Perimeter)
Geometry
Data Analysis (Tables and Graphs)
Type of Mathematics Questions
Knowledge- Recall specific mathematical facts,
concepts, rules and formulae, and perform straightforward computations.
Comprehension- Interpret data and use mathematical
concepts, rules and formulae and solve routine or familiar mathematical problems
Type of Mathematics Questions
Application - Analyse data and/or apply mathematical
concepts, rules and formulae in a complex situation, and solve unfamiliar problems.
…are general methods or strategiesof achieving a solution to a given
complex word problem
What are Problem Solving Heuristics?
What is Model Drawing?
… basically a mathematics problem
solving strategy based on a pictorial
approach.
The representation is in the form
of bar diagram
The use of Model Diagram provides studentswith the means to:(1) handle information(2) deal with complexity and(3) communicate their thinking through the
use of visuals which they can manipulate
Stage 1: Understand the Problem� Read the entire problem� Decide who or what is involved
Steps to Model Drawing
Steps to Model Drawing
Stage 2: Devise a Plan� Decide the type of model you need to
draw (part-whole, comparative)� Read each sentence one at a time � Draw the model and add in the
information after each sentence � Make linkages
Stage 3: Carry out the plan� Do the working and solve the problem
Stage 4: Look back (Reflect)� Check your answer and make sure
the unit is included
Steps to Model Drawing
Part-Whole Model
• Finding the Whole, given Parts • Finding a Part, given the Whole and a
Part
Whole
Part Part
There are 98 hats. 20 of them are pink and the rest are yellow. How many yellow hats are there?
Part-Whole Model
Part-whole Model: Whole Numbers
Calvin earns $2000 every month. He pays
$300 for food. He also spends $200 on his car, $500
on housing and saves the rest. How much does he save
every month?
Mr Goh earns $6000 every month. He pays
$1100 for food. He also spends $1500 on his car, $2100 on housing and saves the rest. How much does he save every month?
Try this!
Comparison Model
•Two or more quantities are compared.
•If one quantity is bigger than another by a certain amount, knowing the smaller quantity and the difference, we can find the bigger one.
•Or knowing the bigger quantity and the difference, we can find the smaller one.
Davian had 467 coins. Sharonhad 142 fewer coins than Davian.How many coins did Sharonhave?
Comparison Model
Comparison Model: 3 items
Cindy, Betty and Alice have a total of 270 stickers. Cindy has thrice as many stickers as Betty. Alice has half as many stickers as Betty. How many stickers does Betty have?
Make a suppositionSupposition is an act of supposing. That is to make an assumption.
Solution:
• Chicken � 2 feet, rabbit � 4 feet
• Suppose there are 15 chickens.
A farmer has 15 chickens and rabbits. These animals have 40 feet altogether. How many of each type of animals does the farmer have?
Make a supposition
2 x 15 = 30
Since a rabbit has 2
feet more than a
chicken, an excess
of 2 feet will make 1
rabbit; If there is an
excess of 4 feet,
there should be 2
rabbits.
Therefore, finding
the excess number
of feet can help us
to find the number
of rabbits.
40 – 30 = 10 (excess feet)
10 ÷ 2 = 5
There are 5 rabbits.
15 – 5 = 10
There are 10 chickens.
Make a supposition
Some motorcycles and cars are parked at a carpark. Thomas makes a count to find a total of 10 vehicles and 34 wheels. How many cars are there?
Make a suppositionGrace bought 20 blouses and skirts. There are 5 buttons on each blouse and 2 buttons on each skirt. She counted a total of 64 buttons. How many of each type of clothes did she buy?
Try this
Work BackwardsWorking backwards is a strategy that makes use of the end result of a problem to find what it begins with. Very often, answers can be found by tracking backthe steps and reversing the operations.
Work Backwards
I am thinking of a number. I double it. I add 8 to the result and my answer is 22. What is the number?
7 14 22X 2
÷ 2 - 8
+ 8
Reverse operations22 – 8 = 14
14 ÷ 2 = 7
The number is 7.
I am thinking of a number. I double it. I add 8 to the result and my answer is 22. What is the number?
Work Backwards
A is a number. Add 5 to A and multiple the result by 10. Subtract 8 from the product and divide the result by 2. The final result is 151. What is A?
Work Backwards
Try this
If you multiply a number by 8, then add 3, then subtract 9, you get 34. What is the number?
Study (Understand and
Analyse the scenario)
Think (Devise a plan and
choose a strategy)
Act (Work out the solutions)
Reflect (Check if the answer is
logical)
How you can help?(1) Monitor your child’s work• Ensure all steps are written, models are
drawn correctly.• Remind your child to check his/her work.
(2) Help your child learns the multiplicationtables.
(3) Have sufficient practice to acquireprocedural skills, speed and accuracy.
How you can help?
(4) Excite your child by making Math real andrelevant to him or her.
• Take your child shopping and talk aboutthe quantities of anything you buy.
• Let your child handle money and work out how much things cost.
(5) Try to make maths as much fun as possible
- games, puzzles and jigsaws are a greatway to start.
How you can help?(6) Work with your child’s teachers.
Enjoy learning together!
(7) Spend time reading books related toMathematics with your child.
https://www.schoolbag.sg/story/explore-mathematics-related-resources#.VwRT64f2PmI