Missing Mural
Dimensions
5.NBT.7
A mural is a painting, often very large, that is painted directly on a wall.
Sofia’s dad is an artist who paints murals.
He has been asked to help her class create a mural for their school. He gave Sofia a sketch of the mural to show her class. But on the way to school Sofia took it out of her backpack to show a friend and accidentally dropped it in a puddle. She quickly picked it up out of the puddle, but all of the dimensions were smudged and hard to read.
When Sofia and her friend looked closely at the smudged drawing, they were able to identify these numbers and wrote them down on a piece of paper:
3
4
5
6
What information does Sofia need so that she can find the dimensions and the area of the mural?
Sofia also remembered hearing her dad say that the area of the mural was the smallest area that could be painted.
3
4
5
6
Sofia remembered overhearing her dad say that the area of the mural was the smallest product that could be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
Sofia also remembered hearing her dad say that the area of the mural was the smallest area that could be painted.
3
4
5
6
Sofia remembered overhearing her dad say that the area of the mural was the smallest product that could be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
Let’s practice estimating!
3.4 x 5.6
More or less than 15
Sofia also remembered hearing her dad say that the area of the mural was the smallest area that could be painted.
3
4
5
6
Sofia remembered overhearing her dad say that the area of the mural was the smallest product that could be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
Let’s practice estimating!
4.3 x 6.5
More or less than 24
Sofia also remembered hearing her dad say that the area of the mural was the smallest area that could be painted.
3
4
5
6
Sofia remembered overhearing her dad say that the area of the mural was the smallest product that could be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
Let’s practice estimating!
5.4 x 3.6
More or less than 20?
Sofia also remembered hearing her dad say that the area of the mural was the smallest area that could be painted.
3
4
5
6
Sofia remembered overhearing her dad say that the area of the mural was the smallest product that could be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
Let’s practice estimating!
6.4 x 5.3
More or less than 30?
3
4
5
6
Debrief: What is the area of the mural?
Are there some dimensions that we can eliminate without having to solve for all possible combinations of dimensions?
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Debrief: What is the area of the mural?
Which dimensions did you eliminate?
6.5 6.4 6.3 5.6 5.4 5.3 4.6
4.6 4.5 4.3 3.6 3.5 3.4
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Debrief: What is the area of the mural?
Which dimensions did you eliminate? Why?
6.5 6.4 6.3 5.6 5.4 5.3 4.6
4.6 4.5 4.3 3.6 3.5 3.4
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Debrief: What is the area of the mural?
Did you think about whole numbers to help you choose which numbers to start with? Did you think 3 x 4 will have the smallest whole number product?
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Debrief: What is the area of the mural?
If we use the whole numbers 3 and 4 we know that the possible dimensions of the mural could be 3.5 feet and 4.6 feet or 3.6 feet and 4.5 feet.
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
What is the area of the mural?
3
4
5
6
Debrief: What is the area of the mural?
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Debrief: What is the area of the mural?
We can use the standard algorithm to find the area of the 2 sets of dimensions to determine which dimensions result in the smallest possible area.
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
3
4
5
6
Debrief: What is the area of the mural?
16.10 square meters is smaller than 16.20 square meters.
The dimensions of the mural are 3.5 meters and 4.6 meters.
Find the area of the mural that Sofia’s dad is going to paint. Remember, that the area of the mural is the smallest product that can be created with these 4 digits and that the length and width were both measured in meters to the tenths place.
Extra practice: Estimate the product. Then solve using the standard algorithm. You may check your work with a calculator.
2.8 x 5
Extra practice: Estimate the product. Then solve using the standard algorithm. You may check your work with a calculator.
7 x 3.2
Extra practice: Estimate the product. Then solve using the standard algorithm. You may check your work with a calculator.
8.3 x 3.9
Extra practice: Estimate the product. Then solve using the standard algorithm. You may check your work with a calculator.
1.7 x 5.6
Extra practice: Estimate the product. Then solve using the standard algorithm. You may check your work with a calculator.
4.1 x 8.2
Extra practice: Estimate the product. Then solve using the standard algorithm. You may check your work with a calculator.
6.2 x 3.4