Garden Growth Slides Garden Growth
Mastering the Area Model
Break it Down
Get your whiteboards ready! Split these numbers into Tens and Ones .
14
10 + 4
25
20 + 5
32
30 + 2
The Farmer's Field
Embedded media
Watch & Listen for:
How the farmer splits 15 and 14.
The word "Foundation."
Adding "Partial Products."
Think Like a Farmer
Why did the farmer split the number 15 into 10 and 5?
Hint: Think about Place Value!
Garden Vocab
Area Model
A rectangular diagram used to multiply by splitting numbers into parts.
Partial Products
The small multiplication answers we get before adding them all up.
Design Your Garden
1
Pick an equation from your sheet.
2
Split the side lengths by place value.
3
Label the 10s "Foundation" in Blue.
4
Draw your grid on the garden paper!
Example: 12 x 13
100
30
20
6
10 + 2 and 10 + 3
Garden Share
Swap gardens with your neighbor.
Check if their Foundation (tens) is correct.
Does the total garden size match the equation?
Garden Design Worksheet Garden Design Worksheet
Planning the Area Model Foundation
Name:
Date:
1. Break it Down!
Decompose these numbers into Tens and Ones . Use the branches to show your work.
14
Tens Ones
25
Tens Ones
32
Tens Ones
2. Farmer's Logic
Why did the farmer split the number 15 into 10 and 5?
3. Planting Plans
Before you draw your garden, split your side lengths. Your "Foundation" (Tens) will be blue on your grid.
Garden Plot A
12 x 13
12 =
13 =
Garden Plot B
14 x 11
14 =
11 =
Garden Plot Grid Garden Plot Grid
Name:
Instructions
Use the side lengths from your worksheet.
Draw the rectangles precisely on the grid lines.
Color Key
Foundation (Tens)
Ones
Garden Plot A
Equation: __________________
Garden Plot B
Equation: __________________
Garden Growth: Area Model Mastery
Garden Growth Teacher Guide Garden Growth Guide
Teacher Facilitation Plan
Target: 4th Grade Math
Objective
Students will decompose two-digit numbers into tens and ones to set up an area model for multiplication, identifying the "tens" as the foundation of the calculation.
Materials Needed
• Garden Growth Slides
• Garden Design Worksheet
• Garden Plot Grid
• Blue & Orange Colored Pencils
• Individual Whiteboards
5m
Warm-up: Break it Down!
Use Slide 2. Challenge students to split numbers (14, 25, 32) on whiteboards.
"Class, if we have 14 plants, how many full rows of 10 do we have? How many leftovers? Let's write that as an addition sentence."
5m
Video: Area Model Song
Watch the video on Slide 3. Use the following pause points for discussion:
0:29: Ask students how they would split 14 and 15 before the farmer does.1:00: Ask: "The farmer found 100, 50, 40, and 20. What do we call these smaller answers?" (Partial Products).1:40: Pause on the empty 22 x 15 grid. Ask students to predict the numbers for the top and side.
20m
Activity: Design Your Garden
Distribute the Garden Plot Grid and Colored Pencils.
Students use Section 3 of their worksheet to plan their decompositions.
On the Grid, students draw the boundaries for their garden plots.
Crucial Step: Students must color the "10s Foundation" section blue and the "Ones" sections orange.Walk around and ensure students are using the grid lines accurately (1 square = 1 unit).
5m
Closure: Garden Share
Students swap papers. Partners check if the blue "Foundation" represents the tens correctly and if the labels match the grid counts.
Checking for Understanding
Common Misconception
Students may split 22 into 11 and 11 or other combinations. Remind them we split by Place Value (20 + 2) to make the multiplication easier.
The "Foundation"
"Why do we call the 10x10 area the foundation? Just like a house foundation, it's the biggest part that holds up the rest of the problem."
Garden Growth Answer Key Answer Key
Garden Design Worksheet & Plot Grid
Teacher Resource
1. Break it Down!
14
10 + 4
25
20 + 5
32
30 + 2
2. Farmer's Logic
Why did the farmer split 15 into 10 and 5?
The farmer split 15 based on place value. 10 and 5 are easier numbers to multiply mentally than 15. The "10" acts as the foundation of the area model.
3. Planting Plans
Plot A: 12 x 13
12 = 10 + 2
13 = 10 + 3
Plot B: 14 x 11
14 = 10 + 4
11 = 10 + 1
Plot Grid Visual Guide
10 x 10
10 x 3
2 x 10
2 x 3
Example Layout for Plot A (12x13)
Note: Students do not need to calculate the partial products in this lesson (that's the next step!).
Checking for Mastery:
Are the 10x10 sections colored Blue ?
Are the side lengths labeled correctly (e.g., 10 and 2)?
Is the total width/height of the rectangle accurate to the equation?
