Grade 6 Math Module 1 Lesson 4.notebook
September 03, 2015
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
Starter: Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account. What is the given ratio?
STUDENT OUTCOMES
If Pam has 40 dollars in her account, how much money does her brother have in his account? Use a tape diagram to support your answer.
1.
I can identify equivalent ratios. 2.
I can use tape diagrams and the description of equivalent ratios to determine if two ratios are equivalent.
3.
I can make the number, c, in the description of equivalent ratios to the tape diagrams I have been using to find equivalent ratios.
Sep 2­6:43 PM
May 23­4:33 PM
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
EXERCISE 1
CLASS WORK
Let's evaluate the two ratios we determined: 2:7 and 24:84.
EXERCISE 1 The morning announcements said that two out of every seven 6th graders in the school have an overdue library book.
How have we previously determined two sets of ratios to be equivalent?
• Each number in the first ratio must be multiplied by the same positive number in order to determine the corresponding numbers in the second ratio.
Jasmine said, "That would mean 24 of us have overdue books!"
Grace argued, "No way, that is way too high."
How can you determine who is right? 2:7
24:84
You would have to know the total number of 6th graders and then see if the ratio 24:total
is equivalent to 2:7.
Apr 13­5:36 PM
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
Jan 18­6:18 AM
Let's test these two ratios to see if they are equivalent. Since the corresponding number to 2 in the second ratio is 24, what do we multiply by to get to 24?
By finding 12, we have discovered the C = 12, which we will now use to multiply by 7 to find the other corresponding number.
May 29­2:07 PM
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
Jun 5­7:02 AM
1
Grade 6 Math Module 1 Lesson 4.notebook
September 03, 2015
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
CLOSING
THINK: 1.
How can we use the description of equivalent ratios to find an equivalent ratio?
2.
What do the numbers in the boxes of the tape diagram represent in terms of the ratio?
Building a ratio anchor chart
PAIR
SHARE
To find an equivalent ratio, the
number, C, the multiplicative,
must be the same. C represents a
CONSTANT ­ the same number.
Aug 1­8:50 AM
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
Sep 2­6:51 PM
GRADE 6 MODULE 1: LESSON 4
EQUIVALENT RATIOS
EXIT TICKET
HOME WORK
Jul 27­4:03 PM
Jul 27­4:09 PM
Jul 31­10:47 AM
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