1.6 Equivalent Ratios
Standards
6.RP.3 and 6.RP.3b
Essential Question
How can you determine if two ratios are
equivalent?
Vocabulary
• Unit Rate – a ratio that is simplified so
that it has a denominator of 1.
Determine if each pair of ratios or rates
is equivalent. Explain your reasoning.
1. $24 saved after 3 weeks, $52 saved after
7 weeks.
24 ÷3 8
3 ÷3 1
52 ÷7 7.63
7 ÷7 1
The unit rates are not
the same so they are not
equal.
Determine if each pair of ratios or rates
is equivalent. Explain your reasoning.
2. 270 calories in 3 servings; 450 calories in
5 servings.
270 ÷3 90
3 ÷3 1
450 ÷5
5 ÷5
The unit rates are the
same so they are equal.
90
1
Determine if each pair of ratios or rates
is equivalent. Explain your reasoning.
3. Micah can do 75 push-up in 3 minutes. Eduardo can
do 130 push-ups in 5 minutes. Are the rates
equivalent?
75 ÷3 25
3 ÷3 1
130 ÷5
5 ÷5
The unit rates are not the
same so they are not equal.
26
1
Example #4
A human adult takes about 16 breaths in 60
seconds. A puppy takes about 8 breaths in
15 seconds. Are the rate equivalent?
Explain your reasoning.
16 ÷2 8
60 ÷4 15
Since you divide by two different
numbers, they are not equivalent.
Extra Problem
• Please add this problem to your notes.
• Sometimes you can verify equivalent
ratios by using cross products.
Are 3 and
5
9
15
equivalent?
Essential Question
How can you determine if two ratios are
equivalent?
You can find the unit rate of each and compare them.
Summarize
• Make sure you do the summarize section.
Rate Yourself!
Are you ready to move on? Shade the
section that applies.