T6
Find the area of composite figures*
Lesson 1
Vertical Collaboration
What is the area of the composite figure?
1
1A
2
2A
3
3A
4
4A
Summarize
Notes
To calculate the area of a composite figure:
1. Decompose the figure (i.e. break it into simple shapes)
2. Write the dimensions
3. Calculate the areas of each simple shape, and add or subtract them.
My Responsibilities
1. In your notebook, make meaningful notes for your forgetful selves
2. CYUqs → p721: 1, 2; p723: 11 (Volume 2 Ch9-6)
Do your work in your notebook. Draw the composite figure. Draw the smaller, simple shapes. Include dimensions. Write the formulas and find their areas.
Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 2
Discuss (2 min)
After completing the Check-your-understanding Questions, which were important for everyone to do?
Vertical Collaboration
Shape 1
Area is 81 units squared. Click to see Shape 1 partial solution with shapes decomposed and dimensions:
Shape 2
Area is 229.5 units squared. Click to see Shape 2 partial solution with shapes decomposed and dimensions:
* Next move: "How could you do this a different way and get the same answer?"
Group Notes
Prompt:
Worksheet with questions:
Sample student work and things to remember:
Extend
U3T6 Extend. Pick any ONE of the polygons and find the area. Medium level: 4 and 5. Spicy: 2, 3, and 6. You CHOOSE.
First, neatly sketch the composite figure and its dimensions.
Next, mentally break the shape into simpler 2D figures. Next to the original figure, sketch the simple figures and their dimensions.
Finally, find the area of each simple shape and add or subtract the areas to find the area of the original composite figure.
Check your answer!
If needed, use a calculator to help you crunch the numbers.
Lesson 3
Review Examples
Yesterday's group consolidation went really well! Let's take a look at some of the work and comments that were shared:
Critique the reasoning of others
YOU ARE THE TEACHER! Can you find the mistake?
Start by looking for one thing that the group did well.
Then, see if you can find the error or mistake that led them to come up with the wrong solution.
Lesson 1
Vertical Collaboration
What is the area of the composite figure?
1
1A
2
2A
3
3A
4
4A
Summarize
Notes
To calculate the area of a composite figure:
1. Decompose the figure (i.e. break it into simple shapes)
2. Write the dimensions
3. Calculate the areas of each simple shape, and add or subtract them.
My Responsibilities
1. In your notebook, make meaningful notes for your forgetful selves
2. CYUqs → p721: 1, 2; p723: 11 (Volume 2 Ch9-6)
Do your work in your notebook. Draw the composite figure. Draw the smaller, simple shapes. Include dimensions. Write the formulas and find their areas.
Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 2
Discuss (2 min)
After completing the Check-your-understanding Questions, which were important for everyone to do?
Vertical Collaboration
Shape 1
Area is 81 units squared. Click to see Shape 1 partial solution with shapes decomposed and dimensions:
Shape 2
Area is 229.5 units squared. Click to see Shape 2 partial solution with shapes decomposed and dimensions:
* Next move: "How could you do this a different way and get the same answer?"
Group Notes
Prompt:
Worksheet with questions:
Sample student work and things to remember:
Extend
U3T6 Extend. Pick any ONE of the polygons and find the area. Medium level: 4 and 5. Spicy: 2, 3, and 6. You CHOOSE.
First, neatly sketch the composite figure and its dimensions.
Next, mentally break the shape into simpler 2D figures. Next to the original figure, sketch the simple figures and their dimensions.
Finally, find the area of each simple shape and add or subtract the areas to find the area of the original composite figure.
Check your answer!
If needed, use a calculator to help you crunch the numbers.
Lesson 3
Review Examples
Yesterday's group consolidation went really well! Let's take a look at some of the work and comments that were shared:
Critique the reasoning of others
YOU ARE THE TEACHER! Can you find the mistake?
Start by looking for one thing that the group did well.
Then, see if you can find the error or mistake that led them to come up with the wrong solution.