Case of the Fours Presentation Slides
Case of the Fours
Investigating Division Patterns & Multiplication Secrets
Grade 3 Math Division Table of 4
Warm-up: Speed Counting
Let's skip count by 4s as a class!
4
8
12
16
20
24
28
32
36
40
Evidence: "Dividing by Four"
Embedded media
Watch closely for the final summary screen at 1:37!
Fact Family Detectives
Mission 1:
Open your Math Journal. Copy the division table from the video screen (1:37).
Mission 2:
Next to each division fact, write the multiplication fact that matches it.
Example Entry
20 ÷ 4 = 5
5 × 4 = 20
What is the Secret Pattern?
Look at the Division Table in your journal...
"As the dividend goes up by 4, what happens to the quotient?"
Dividend + 4 = Quotient + 1
Why does this happen? Think about the "sharing" boxes!
Extension: Predict the Future
The table in the video stopped at 40 ÷ 4 = 10.
44 ÷ 4 = ?
48 ÷ 4 = ?
52 ÷ 4 = ?
Use your "Fact Family" detective skills!
Fact Family Evidence Log Worksheet
Case ID: DIV-004
Fact Family Evidence Log
Detective Name
Investigation Date
Mission Briefing
Record the evidence from the surveillance video. Relate each division fact to its multiplication partner to reveal the pattern.
| Section A Division Fact (From Video) | Section B Related Multiplication Fact |
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| 4 ÷ 4 = 1 | 1 × 4 = 4 |
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Pattern Analysis Report
Complete the detective's finding:
As the dividend (the total number) increases by 4, the quotient (the answer) increases by because we are making more equal group(s).
Future Case Files (Extension)
Predict the next 3 lines of the division table of 4.
44 ÷ 4 =
Prediction 1
48 ÷ 4 =
Prediction 2
52 ÷ 4 =
Prediction 3
OFFICIAL
EVIDENCE
LOG
Division Detectives Teacher Guide
Case File: The Division of 4
Lesson Facilitation & Teacher Guidance
Grade Level
3rd Grade Math
Learning Objective
Students will identify patterns in the division table of 4 and relate them to inverse multiplication facts using concrete, pictorial, and abstract models.
Materials Needed
- Fact Family Evidence Log Worksheet
- "Dividing by Four" Video (YouTube)
- Math Journals & Pencils
- Whiteboard & Markers
Lesson Procedure
1
Warm-up: The Skip Count Dash (5 min)
Lead the class in skip counting by 4s from 4 to 40. Repeat twice, increasing the speed the second time.
Teacher Tip: Use a rhythmic clap to keep the pace.
2
Video Investigation (10 min)
Screen the "Dividing by Four" video. Use these strategic pause points to build conceptual understanding:
0:21 - The Setup
"If we have 12 buttons and 4 boxes, how many do you think go in each box? Why?"
0:59 - The Dot Array
"How can we divide these 20 dots by 4 without moving them to boxes?"
1:24 - Grouping
"What does the number of circles represent in our division sentence?"
1:37 - The Big Reveal
"Pause here! Look at the quotients (answers). What pattern do you see?"
3
Fact Family Detectives (15 min)
Students use the Evidence Log. They must copy the table from 1:37 in the video and immediately identify the matching multiplication fact.
Pattern Focus:
As the dividend increases by 4, we have added enough for one more equal group of 4, so the quotient increases by 1.
4
Predictive Modeling (10 min)
Challenge students to extend the table to 52.
44 ÷ 4 = 11, 48 ÷ 4 = 12, 52 ÷ 4 = 13.
Key Vocabulary
Dividend: The total amount being shared or grouped.
Divisor: The number of groups or the size of each group (4).
Quotient: The answer to a division problem.
Fact Family: Group of related multiplication and division facts.
Common Pitfalls
- Students may confuse "divide into 4 groups" with "divide into groups of 4". Point out both are shown in the video.
- Students might skip count but lose track of which number they are on. Use the skip counting chart on the slides as a visual anchor.
