T4
Find the volume of a right rectangular prism with fractional edge lengths
Lesson 1
Real-world Connection
Where does volume show up in the world around us?
Calculating the volume of water in your pool (cubic gallons, so you can add/buy chemicals)
Comparing backpacks (cubic liters, so you know if you are able to hold all your stuff/gear)
Ordering concrete for a new sidewalk, driveway, or foundation (cubic yards)
Direct Instruction
Notes
The formula for finding the volume of a prism is V = B · h (Volume = Base Area times Height)
To multiply fractions: turn mixed numbers into improper fractions and multiply straight across. Then simplify.
How does area relate to volume? (start 1:00, pause at 2:24)
Show FIAB question involving units
Direct Instruction
Let's use the rectangular prisms we created in class to explore volume:
1. Calculate the volume of a rectangular prism and use cubes to verify results
2. Use cubes to determine measurements of prism with fractional edge lengths and calculate the volume
Summarize
Notes
To find the volume of a prism:
* If needed, sketch 3d prism (with dimensions)
#1 Write volume formula (V=Bh)
#2 Substitute the formula for finding the area of the base (B)
#3 Substitute dimensions
#4 Multiply and write answer with units³
My Responsibilities
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
p745 14, 15, 16, 17; p743: 1, 2, 3 (Ch10-1, Volume 2)
Answers to odd numbered problems are in the back of the book. Even ones below:
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
Lesson 2
Lesson 3
Warmup
¾⋅ ⅔
⅘ ⋅ ⅓ ⋅ ⅗
Extend
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
Lesson 1
Real-world Connection
Where does volume show up in the world around us?
Calculating the volume of water in your pool (cubic gallons, so you can add/buy chemicals)
Comparing backpacks (cubic liters, so you know if you are able to hold all your stuff/gear)
Ordering concrete for a new sidewalk, driveway, or foundation (cubic yards)
Direct Instruction
Notes
The formula for finding the volume of a prism is V = B · h (Volume = Base Area times Height)
To multiply fractions: turn mixed numbers into improper fractions and multiply straight across. Then simplify.
How does area relate to volume? (start 1:00, pause at 2:24)
Show FIAB question involving units
Direct Instruction
Let's use the rectangular prisms we created in class to explore volume:
1. Calculate the volume of a rectangular prism and use cubes to verify results
2. Use cubes to determine measurements of prism with fractional edge lengths and calculate the volume
Summarize
Notes
To find the volume of a prism:
* If needed, sketch 3d prism (with dimensions)
#1 Write volume formula (V=Bh)
#2 Substitute the formula for finding the area of the base (B)
#3 Substitute dimensions
#4 Multiply and write answer with units³
My Responsibilities
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
p745 14, 15, 16, 17; p743: 1, 2, 3 (Ch10-1, Volume 2)
Answers to odd numbered problems are in the back of the book. Even ones below:
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
Lesson 2
Lesson 3
Warmup
¾⋅ ⅔
⅘ ⋅ ⅓ ⋅ ⅗
Extend
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search