5 Minute Check
Open your book to page 58 and complete, if
not complete.
You have five minutes.
If complete, look through your homework to
review for the quiz.
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brown
tan
2
3
2
3
16
24
5 Minute Check
Quiz Directions –
All answers should be on the right hand side
of the paper.
You will have 15 minutes to finish the test.
When complete, bring it to my desk, go back to
your desk and do something quiet.
Do not forget units, if needed.
Friday, Aug 29
Lesson 6.1.6
Equivalent Ratios
Equivalent Ratios
Objective: To determine if two ratios are
equivalent.
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
One is to compare unit rates.
Equivalent Ratios
Probably the easiest way is to simplify the
ratios and compare.
Equivalent ratios will simplify to the same
ratio.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
Step 1 – Set up the rates.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
Step 1 – Set up the rates.
=
9 miles ?
12 hours
4 miles
8 hours
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
Step 2 – Simplify.
=
9 miles ?
12 hours
4 miles
8 hours
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
Step 2 – Simplify.
=
3 miles ? 1 miles
4 hours = 2 hours
9 miles ?
12 hours
4 miles
8 hours
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
9 miles in 12 hours; 4 miles in 8 hours.
Step 2 – Simplify.
=
9 miles ?
12 hours
3 miles
4 hours
≠
4 miles
8 hours
1 miles
2 hours
Proof
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
15 out of 20 students; 60 out of 80 students.
Do this on your own.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
15 out of 20 students; 60 out of 80 students.
15
20
=
? 60
80
3
4
=
3
4
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
25 miles in 3 hours; 32 miles in 4 hours.
Do this on your own.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
25 miles in 3 hours; 32 miles in 4 hours.
25 miles
3 hours
25 miles
3 hours
=
? 32 miles
4 hours
≠
8 miles
1 hour
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
5 goals out of 35 attempts; 8 goals out of 40
attempts.
Do this on your own.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
5 goals out of 35 attempts; 8 goals out of 40
attempts.
=
5 goals
?
8 goals
35 attempts
40 attempts
1 goal
7 attempt
≠
1 goals
5 attempts
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
5 goals out of 35 attempts; 8 goals out of 40
attempts.
=
5 goals
?
8 goals
35 attempts
40 attempts
Another way to compare rates is to cross
multiply and compare the products.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
5 goals out of 35 attempts; 8 goals out of 40
attempts.
=
5 goals
?
8 goals
35 attempts
40 attempts
5 x 40 = 200
8 x 35 = 280
200 ≠ 280
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
7 correct out of 11 test questions; 6 correct
out of 10 test questions.
Do this on your own.
Use any method.
Equivalent Ratios
Determine if each pair of ratios or rates are
equivalent. Explain your reasoning.
7 correct out of 11 test questions; 6 correct
out of 10 test questions.
=
7 correct ?
6 correct
11 questions
10 questions
7 x 10 = 70
6 x 11 = 66
70 ≠ 66
Equivalent Ratios
Do this on your own.
Equivalent Ratios
=
6 DVD ?
$90
1 DVD
$15
=
3 DVD
$45
1DVD
$15
Equivalent Ratios
Agenda Notes
Homework – No Homework
Homework Practice 6.1.6
Due by the end of the period.
Draw a box around your proof.
Chapter 1 Test -Thursday, Sept 4
Accum Rev 1 due by Sept 4