Mathematics Workshop for Parents

Lower Primary

Objectives

• Understanding mathematical concepts using the C-P-A approach.

• Using models to solve word problems.

• Using thinking skills to solve higher order questions.

• E-learning using Koobits

Overview • K-C-A type of questions

• C-P-A approach to teaching & learning

• Model Drawing (P2)

• Heuristics

• Koobits

K-C-A type of questions

• Knowledge (Memorization)

Recall specific mathematical facts, concepts, rules and formulae, and to perform straightforward computations

• Comprehension (Understanding)

Interpret data and use mathematical concepts, rules or formulae in familiar situations

• Application (Using)

Analyse data and/or to apply mathematical concepts, rules or formulae in unfamiliar situations

Examples of K-C-A questions

• Knowledge

85 + 16 =

• Comprehension

16 more than 85 is

• Application

+ 16 = 85

C-P-A approach to teaching & learning

• Concrete

• Pictorial

• Abstract

C-P-A approach to teaching & learning

Online Manipluatives

• http://www.matholia.com.sg/

• http://nlvm.usu.edu/en/nav/vlibrary.html

Model Drawing

• Helps develop your child’s understanding of Mathematical concepts

• Helps develop your child’s proficiency in solving Mathematical word problems

Model Drawing

• There are 2 types of models:

1. part-whole model

2. comparison model

Model Drawing

Important points to take note: • Estimate the length of each part according to the

data given • Label the models with the correct names and

numbers given • Use ‘?’ for unknown data • Use braces or arrows

• Use dotted lines to indicate the difference

(more/less)

Model Drawing: Part-Whole Model

• Number bonds

25

10 + 15 = 25 25 – 10 = 15 25 – 15 = 10

part part

whole

10 15

Model Drawing: Part-Whole Model

• 10 + 15 = 25

?

15 10

Model Drawing: Part-Whole Model • Mr Lim washed 65 dishes in two days.

He washed 23 dishes on the first day.

How many dishes did he wash on the second day?

65

? 23

Model Drawing: Part-Whole Model • Mr Lim washed 65 dishes in two days.

He washed 23 dishes on the first day.

How many dishes did he wash on the second day?

65 – 23 = 42 He washed 42 dishes on the second day. 65

? 23

Model Drawing: Comparison Model • Aunt Alice fried 166 fish balls for a party.

She fried 77 more fish balls than prawn balls for the party.

How many prawn balls did Aunt Alice fry?

166

77

F

P

?

Model Drawing: Comparison Model • Aunt Alice fried 166 fish balls for a party.

She fried 77 more fish balls than prawn balls for the party.

How many prawn balls did Aunt Alice fry?

166 – 77 = 89 Aunt Alice fried 89 prawn balls.

166

77

F

P

?

Model Drawing: Hands-on • Jane has 325 beads. Susan has 263 beads. How many more beads does Jane have

than Susan?

Model Drawing: Hands-on • Jane has 325 beads. Susan has 263 beads. How many more beads does Jane have

than Susan? 263

325

S

J

?

Model Drawing: Hands-on • Jane has 325 beads. Susan has 263 beads. How many more beads does Jane have

than Susan? 263

325

S

J

? 325 – 263 = 62 Jane has 62 more beads than Susan.

Heuristics: Draw a diagram

• Siti is older than Jolene but younger than Larry.

Larry is younger than Ben.

Who is the youngest?

Siti

Jolene

Larry

Ben

Jolene is the youngest.

Heuristics: Draw a diagram (Hands-on)

• Sarah reads more books than Jill but fewer books than Matthew.

Matthew reads fewer books than Kelly.

Who reads the most number of books?

Jill

Matthew

Sarah Kelly reads the most number of books.

Kelly

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Sister Bobby (- 7) Total (25) Check

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Sister Bobby (- 7) Total (25) Check

12 12 – 7 = 5 12+ 5 = 17 Χ

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Sister Bobby (- 7) Total (25) Check

12 12 – 7 = 5 12+ 5 = 17 Χ

14 14 – 7 = 7 14 + 7 = 21 Χ

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Sister Bobby (- 7) Total (25) Check

12 12 – 7 = 5 12+ 5 = 17 Χ

14 14 – 7 = 7 14 + 7 = 21 Χ

16 16 – 7 = 9 16 + 9 = 25 √

Bobby’s sister is 16 years old.

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Bobby Sister (+ 7) Total (25) Check

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Bobby Sister (+ 7) Total (25) Check

12 12 + 7 = 19 12 + 19 = 31 Χ

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Bobby Sister (+ 7) Total (25) Check

12 12 + 7 = 19 12 + 19 = 31 Χ

10 10 + 7 = 17 10 + 17 = 27 Χ

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years old.

How old is Bobby’s sister?

Bobby Sister (+ 7) Total (25) Check

12 12 + 7 = 19 12 + 19 = 31 Χ

10 10 + 7 = 17 10 + 17 = 27 Χ

8 8 + 7 = 15 8 + 15 = 23 Χ

Heuristics: Guess & Check (P2)

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

Bobby Sister (+ 7) Total (25) Check

12 12 + 7 = 19 12 + 19 = 31 Χ

10 10 + 7 = 17 10 + 17 = 27 Χ

8 8 + 7 = 15 8 + 15 = 23 Χ

9 9 + 7 = 16 9 + 16 = 25 √

Bobby’s sister is 16 years old.

Using a comparison model

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

B

S

?

7 25

Using a comparison model

• Bobby is 7 years younger than his sister.

Their total age is 25 years.

How old is Bobby’s sister?

25 – 7 = 18 18 ÷ 2 = 9 9 + 7 = 16 Bobby’s sister is 16 years old.

B

S

?

7 25

Heuristics: Guess & Check (Hands-on)

• There are 34 red and blue pens in a box.

There are 12 more red pens than blue pens. How many red pens are there in the box?

Heuristics: Guess & Check (Hands-on)

• There are 34 red and blue pens in a box.

There are 12 more red pens than blue pens. How many red pens are there in the box?

blue red (+ 12) Total (34) Check

Heuristics: Guess & Check (Hands-on)

• There are 34 red and blue pens in a box.

There are 12 more red pens than blue pens. How many red pens are there in the box?

blue red (+ 12) Total (34) Check

15 15 + 12 = 27 15 + 27 = 42 Χ

12 12 + 12 = 24 12 + 24 = 36 Χ

11 11 + 12 = 23 11 + 23 = 34 √

There are 23 red pens in the box.

Koobits