module 4 lesson 7
TRANSCRIPT
Module 4 Lesson 7 Replacing Letters with Numbers.notebook
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Problem Set Lesson 6 Answers
Module 4 Lesson 7 Replacing Letters with Numbers.notebook
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Problem Set Lesson 6 Answers Continued#4
Module 4 Lesson 7 Replacing Letters with Numbers.notebook
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Problem Set Lesson 6 Answers Continued
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MODULE 4 Expressions and EquaonsTopic B: Special Notaons of OperaonsLesson 7: Replacing Leers with Numbers
Student Outcomes § Students understand that a leer represents one number in an expression. When that number replaces the leer, the expression can be evaluated to one number.
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Classwork
Example 1
What is the length of one side of this square?
What is the formula for the area of a square?
What is the square’s area as a mulplicaon expression?
What is the square’s area?
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We can count the units. However, look at this other square. Its side length is 23 cm. That is just too many ny units to draw. What expression can we build to find this square’s area?
What is the area of the square? Use a calculator if you need to.
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A leer represents one number in an expression. That number was 3 in our first square and 23 in our second square. When that number replaces the leer, the expression can be evaluated to one number. In our first example, the expression was evaluated to be 9, and in the second example, the expression was evaluated to be 529.
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Exercise 1Complete the table below for both squares. Note: These drawings are not to scale.
Module 4 Lesson 7 Replacing Letters with Numbers.notebook
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Example 2
What does the leer b represent in this blue rectangle?
With a partner, answer the following queson: Given that the second rectangle is divided into four equal parts, what number does the x represent?
How did you arrive at this answer?
What is the total length of the second rectangle?
If the two large rectangles have equal lengths and widths, find the area of each rectangle.
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Exercise 2Complete the table below for both rectangles. Note: These drawings are not to scale. Using a calculator is appropriate.
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Example 3 The formula V = l x w x h is a quick way to determine the volume of right rectangular prisms.
What does the l represent in the first diagram?
What does the w represent in the first diagram?
What does the h represent in the first diagram?
Since we know the formula to find the volume is V = l x w x h, what number can we substute for the l in the formula? Why?
What other number can we substute for the l?
What number can we substute for the w in the formula? Why?
What number can substute for the h in the formula?
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Determine the volume of the second right rectangular prism by substung the leers in the formula with their appropriate numbers.
V = l x w x h
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Exercise 3Complete the table for both figures. Using a calculator is appropriate.
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Closing
Please take out your exit ticket for Lesson 7, close your binder, and complete the exit ticket. This will be collected.
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