BLAKEINSTITUTE2015 | Grade 3 Institute on WEDNESDAY

From Armenian (Չորեքշաբթի), Georgian (ოთხშაბათი) and Tajik (Chorshanbiyev) languages,

Wednesday literally means four (days) from Saturday.

banhar.yeap@pathlight.org.sg | www.banhar.blogspot.com

Multi-Digit Operations and Fractions

Bruner’s idea on representation (CPA Approach) classifies representations as

enactive, iconic or symbolic. Students use concrete experiences and pictorial

representations to understand abstract ideas.

Case Study A |

Basic Lesson Format

Anchor Task – Explore, Structure, Journal, Reflect

Guided Practice

Independent Practice

Bruner’s idea on representation (CPA Approach) classifies representations as

enactive, iconic or symbolic. Students use concrete experiences and pictorial

representations to understand abstract ideas.

Skemp classified understandings in mathematics into three types – instrumental,

relational and conventional understanding.

Journal

Journal June 2015

Title

Problem

__________________________________________________________________

Lesson for Practice

Case Study B |

All the five digits are different. What are they?

Lesson for Basic Concept and Skill Development

Case Study C |

Cheryl cuts the cake into fourths and took 2 pieces.

Case Study D |

Learning Outcome To divide two-digit numbers with a 1-digit number

Anchor Task

To share cookies among three friends.

What if = 36?

What if = 51?

base ten blocks

Assessment

Runway Indicator

if they are able to divide small numbers

Target Indicator

if they are able to decompose

appropriately

Observation

Support … … … … …

… … … … …

Challenge

Problem-Solving Assessment

Case Study F |

Poles are put 2m apart along a straight line that is 16m long. What is the greatest

number of poles altogether?

Poles are put 2m apart along the perimeter of a square of perimeter 16m. What is

the greatest number of poles altogether?

Case Study G |

In a soccer tournament, teams get:

3 points for a win

1 point for a tie

0 point for a loss

Zedland has 11 point.

What is the smallest number of games Zedland could have played?

TIMSS2011 Grade 4

Case Study H |

Helen is making a necklace using only red and white beads such that there at least

3 red beads between 2 white beads. What is the greatest number of white beads

in a 100-bead necklace?

Case Study J |

B A N H A R

Which letter is counted 99th?

Problem 1

Anna baked 18 cupcakes.

Ben baked 24 cupcakes.

How many cupcakes did they bake altogether?

Problem 2

Cheryl is 8 years older than David.

The sum of their ages is 24 years.

How old is Cheryl?

Problem 3

Emma has $3 more than Fiona.

Together, they have $24.

How much does Fiona have?

Problem 4

Gary has 3 times as many cookies as Holly.

Together they have 114 cookies.

How many cookies does Gary have?

Problem 5

Ian has $89 more than Jenny.

Ian has $300.

How much does Jenny have?

Problem 6

Kim has $89 more than Ling.

Ling has $285.

How much does Kim have?

Key Theories

1. Piaget

2. Bruner

3. Dienes

4. Vygotsky

5. Skemp