Welc Welcom ome e to to Math Parents Wo Workshop rkshop 20 - - PowerPoint PPT Presentation
Ho Hougang gang Pr Prima mary ry Sc Scho hool ol Welc Welcom ome e to to Math Parents Wo Workshop rkshop 20 2018 18 Primar mary y 2 Saturday 7 April 2018 To help parents be their childrens coaches in Mathematics To help
Saturday 7 April 2018
To help parents be their children’s coaches in Mathematics To help parents have a better understanding of how a Mathematical problem is solved. To explain the various types of model-drawing To show parents how students should present their solutions in different heuristics
Be Involved
Be Positive in Math
Make Math relevant
Teach Concepts
Reinf nfor
cements ments
Why hy are our e our chi children ldren no not a t abl ble to d e to do
the e prob
lems ms?
Simply give up
(1) Understand the problem (2) Plan your solution (3) Carry out your plan (4) Check to ensure
Polya’s 4-steps problem solving approach
John has 7 stickers. He buys 8 more stickers. How many stickers has he now? Tip#1: Make Problem Numberless Tip #2: Highlight the Keywords
Tip#3: Use guiding questions
John has 7 stickers. He buys 8 more stickers. How many stickers has he now?
How many stickers does John have at first? He bought MORE. How many more?
Tip#4: Simplify, Act it out
To enhance students’ ability in solving word problems. To help them visualise abstract mathematical relationships. To use pictorial representation to solve problems. Makes students re-read the question again.
Part-Whole
For Addition & Subtraction
Comparison
When comparing 2 or more data
Unitary
For Multiplication, Division, Fractions, Ratio problems, etc.
All Levels P3 – P6
Part-Whole Model
For Addition and Subtraction
A B ?
A ? B ? A B
4 + 5 = ?
4 5
4 + 5 = 9 Part-Whole Model
Addition
[ ? ] − 11 = 8 [ ? ]
Take away
11
Left
8 11 + 8 =
19
Left
Take away
Part-Whole Model
Addition
12 + 4 = [ ? ] 12 4 ? 12 + 4 =
16
14 5 ?
14 − 5 = 9
14 − [ ? ] = 5
John has 7 stickers. He buys 8 more stickers. How many stickers has he now? Tip#5: Use concrete objects
Sample Practice 1: John has 7 stickers. He buys 8 more
7 8 has buys ?
7 + 8 = 15
He has 15 stickers now.
Question 1 Henry had 38 pencils. He gave 20 pencils
38 20 ? 38 - 20 = 18
He has 18 pencils now.
Let’s Try!
Question 2: The sum of two numbers is 274. If the smaller number is 36, find the other number? 274 ? 36 274 – 36 = 238 The other number is 238.
Comparison Model
For Comparison
1. Finding unknown item, given the difference
B A ?
Given items
Given Difference B A ?
B A ? Given Difference
Sample Practice 1:
There are 27 boys and 19 girls in a class. How many more boys than girls are there?
Boys Girls 19 27 ?
27 – 19 = 8 There are 8 more boys than girls. Comparison Model
When comparing 2 or more data
Sample Practice 2: There are 19 yellow roses. There are 5 more red roses than yellow roses. (a) How many red roses are there? (b) How many roses are there altogether? Yellow Red 19 5 (a) ? (b) ? Red —— 19 + 5 = 24 Altogether —— 19 + 24 = 43 (a) There are 24 red roses. (b) There are 43 roses altogether.
Question 1: Janet has 180 cards. Alfred has 53 more cards than Janet. How many cards does Alfred have?
Alfred Janet 180 ? 53
180 + 53 = 233 Alfred has 233 cards.
Question 2: Aminah collected $500 for a donation drive. Siti collected $850 more than Aminah. (a) How much money did Siti collect? (b) How much money did they collect altogether? $500 Aminah Siti $850 (a) ? (b) ? Siti —— 500 + 850 = 1350 Altogether —— 500 + 1350 = 1850 (a) Siti collected $1350. (b) They collected $1850 altogether.
The word ‘heuristic’ is taken directly from the Greek verb which means ‘to discover’. In Mathematics, there are usually different ways to go about solving problem sums. These ways or methods are known as heuristics.
Students should be able to:
problem.
Focused Skill: Make a List
Example 1:
The menu below shows the types of food sold at Café Y during tea time. How many different ways can John choose a set of sandwich and drinks? Sandwich Ham Chicken Egg Drinks Coffee Tea Milo
Note: Keep one column constant. Vary the other column until all options are listed to prevent duplicate answers.
Sandwich Drinks
Ham Coffee Ham Tea Ham Milo Chicken Coffee Chicken Tea Chicken Milo Egg Coffee Egg Tea Egg Milo
Focused Skill: Make a List
Focused Skill: Make a List
Mrs Lim wants to take a photograph of Peter, May and Lily together. They stand in a row when taking the photograph. In how many different ways can Mrs Lim line them up?
Note: Keep one column constant. Vary the other column until all options are listed to prevent duplicate answers.
Focused Skill: Make a List
Peter May Lily Peter Lily May May Peter Lily May Lily Peter Lily Peter May Lily May Peter
There are 6 ways.
Students should be able to:
problem.
the information and relate different events together to solve the problems.
Focused Skill: Before - After
Example 1: Susan, Tim and Mark have some coins. Susan has 5 coins fewer than Tim. Tim has 3 coins more than Mark. Mark has 25 coins. How many coins does Susan have?
Mark 25 Susan
?
5 Tim 3
5 – 3 = 2 25 – 2 = 23 Or 25 + 3 = 28 28 – 5 = 23 Susan has 23 coins.
?
Gabriel, Freddy and Lance have some stamps. Gabriel has 8 stamps fewer than Freddy. Freddy has 6 stamps more than Lance. Lance has 36 stamps. How many stamps does Gabriel have?
Lance 36 Gabriel ? 8 Freddy 6 8 – 6 = 2 36 – 2 = 34 Or 36 + 6 = 42 42 – 8 = 34 Gary has 34 stamps.
Students should be able to:
problem.
by working backwards.
Let’s work backwards to find the answer!
Jerry had an empty coin bank. He started saving $2 in the coin bank every week. After some time, he had $8 in his coin bank. How many weeks did Jerry take to save $8?
Focused Skill: Working Backwards
Jerry took 4 weeks to save $8.
$6 $4 $2
$2 less $2 less $2 less $2 less
Jerry took one week to save $2. I shall count back by 2s … $8 $0
Focused Skill: Working Backwards
Our answer is correct! When we count on by adding $2 each week, it takes 4 weeks to fill the coin bank with $8.
After week 1: $2 After week 2: $4 After week 3: $6 After week 4: $8
$2 more $2 more $2 more
Start: $0
$2 more
Focused Skill: Working Backwards
Mrs Tan bought some eggs. She used 10 eggs to bake some cakes. After that, she bought another 12 eggs. In the end, she had 38 eggs. How many eggs did she buy at first?
Let’s work backwards to find the answer!
Focused Skill: Working Backwards
38 – 12 = 26 26 + 10 = 36 She has 36 eggs at first.
She has 38 eggs in the end. She used 10 eggs to bake a cake. She bought another 12 eggs.
at first?
? 10 12
used bought
38
Focused Skill: Working Backwards
Doing Mathematics with your child
Let child handle money during purchases Use analog clocks and watches. Ask child to tell time.
What time is it now? In how many minutes will Mr. Bean start?
Relate Math to everyday activities.
Counters: macaroni, coins, cubes Number cards, UNO cards, dice A set of different coins as play money Lego blocks
Provide Manipulatives
Free Downloadable Math Apps Examples;
Second Grade Kids Math Lite Math Zombies
Websites
http://nlvm.usu.edu/ http://nrich.maths.org/public http://www.bbc.co.uk/schools/websites/4_11/site/numeracy.shtml http://www.youtube.com/watch?v=_eFnzNw10Qc&feature=related
Available resources on the Internet
Our greatest natural resource is the minds of our children.
Walt Disney
Each day of our lives we make deposits in the memory banks of our children.
Charles R. Swindoll So take time and be involved in your child’s education.
Parents’ Evaluation and Feedback For 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 be available on
after the workshops.