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.
5 Minute Check
5 Minute Check
5 Minute Check
5 Minute Check
Greatest Common FACTOR = Factor Rainbows
24: 1, 2, 3, 4, 6, 8, 12, 24
18: 1, 2, 3, 6, 9, 18
5 Minute Check
Least Common MULTIPLE = Multiples List
12: 12, 24, 35, 48, 60, 72,……
20: 20, 40, 60, 80,……..
5 Minute Check
Greatest Common FACTOR = Factor Rainbows
16: 1, 2, 4, 8, 16
32: 1, 2, 4, 8, 16, 32
5 Minute Check
5 Minute Check
15
40
÷ 55 =
3
8
or 3:8 or 3 to 8
5 Minute Check
5 Minute Check
171 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
? 𝑚𝑖𝑙𝑒𝑠
1 ℎ𝑜𝑢𝑟
171 x 1 = 171 ÷ 3 = 57 miles per hour
÷3
171 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
÷3
? 𝑚𝑖𝑙𝑒𝑠
1 ℎ𝑜𝑢𝑟
5 Minute Check
5 Minute Check
5 Minute Check
5 Minute Check
5 Minute Check
5 Minute Check
x8
brown
tan
2
3
16
24
5 Minute Check
2 𝑏𝑟𝑜𝑤𝑛
3 𝑡𝑎𝑛
=
16 𝑏𝑟𝑜𝑤𝑛
? 𝑡𝑎𝑛
3 x 16 = 48 ÷ 2 = 24 tan tiles
Equivalent Ratios
There are different ways to determine if two
ratios (or fractions) are equivalent.
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
One way is to compare the unit rates.
10 prints for $2; 30 prints for $6
What is a unit rate?
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
One way is to compare the unit rates.
10 prints for $2; 30 prints for $6
10 𝑝𝑟𝑖𝑛𝑡𝑠
$2
30 𝑝𝑟𝑖𝑛𝑡𝑠
$6
=
=
? 𝑝𝑟𝑖𝑛𝑡𝑠
$1
? 𝑝𝑟𝑖𝑛𝑡𝑠
$1
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
One way is to compare the unit rates.
10 prints for $2; 30 prints for $6
10 𝑝𝑟𝑖𝑛𝑡𝑠
$2
30 𝑝𝑟𝑖𝑛𝑡𝑠
$6
=
=
5 𝑝𝑟𝑖𝑛𝑡𝑠
$1
? 𝑝𝑟𝑖𝑛𝑡𝑠
$1
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
One way is to compare the unit rates.
10 prints for $2; 30 prints for $6
10 𝑝𝑟𝑖𝑛𝑡𝑠
$2
30 𝑝𝑟𝑖𝑛𝑡𝑠
$6
=
=
5 𝑝𝑟𝑖𝑛𝑡𝑠
$1
5 𝑝𝑟𝑖𝑛𝑡𝑠
$1
If the unit rates are the
same, the ratios are
equivalent.
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to the simplified rates.
9 miles in 12 hours; 4 miles in 8 hours.
When simplifying a fraction, are we making it
larger or smaller?
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to the simplified rates.
9 miles in 12 hours; 4 miles in 8 hours.
9 𝑚𝑖𝑙𝑒𝑠
12 ℎ𝑜𝑢𝑟𝑠
4 𝑚𝑖𝑙𝑒𝑠
8 ℎ𝑜𝑢𝑟𝑠
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to the simplified rates.
9 miles in 12 hours; 4 miles in 8 hours.
9 𝑚𝑖𝑙𝑒𝑠
12 ℎ𝑜𝑢𝑟𝑠
4 𝑚𝑖𝑙𝑒𝑠
8 ℎ𝑜𝑢𝑟𝑠
÷ =
3
3
3 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to the simplified rates.
9 miles in 12 hours; 4 miles in 8 hours.
9 𝑚𝑖𝑙𝑒𝑠
12 ℎ𝑜𝑢𝑟𝑠
4 𝑚𝑖𝑙𝑒𝑠
8 ℎ𝑜𝑢𝑟𝑠
÷ =
3
3
÷ =
4
4
3 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
1 𝑚𝑖𝑙𝑒
2 ℎ𝑜𝑢𝑟𝑠
If the simplified rates are
the same, the ratios are
equivalent.
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to cross multiply.
25 miles in 3 hours; 32 miles in 4 hours.
(If I can’t simplify in my head, this is the method
I use.)
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to cross multiply.
25 miles in 3 hours; 32 miles in 4 hours.
25 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
32 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to cross multiply.
25 miles in 3 hours; 32 miles in 4 hours.
25 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
25 x 4 = ?
32 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to cross multiply.
25 miles in 3 hours; 32 miles in 4 hours.
25 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
32 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
25 x 4 = 100
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to cross multiply.
25 miles in 3 hours; 32 miles in 4 hours.
25 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
32 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
25 x 4 = 100
3 x 32 = ?
Equivalent Ratios
There are different ways to determine if two
ratios are equivalent.
Another is to cross multiply.
25 miles in 3 hours; 32 miles in 4 hours.
25 𝑚𝑖𝑙𝑒𝑠
3 ℎ𝑜𝑢𝑟𝑠
=
32 𝑚𝑖𝑙𝑒𝑠
4 ℎ𝑜𝑢𝑟𝑠
25 x 4 = 100
3 x 32 = 96
If the cross products are
the same, the ratios are
equivalent.
Equivalent Ratios
You can use any of these methods.
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
5
5
÷ =
60
80
20
20
÷
3
4
=
3
4
They are equivalent.
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
35 𝑎𝑡𝑡𝑒𝑚𝑝𝑡𝑠
5
5
÷ =
1 𝑔𝑜𝑎𝑙
7 𝑎𝑡𝑡𝑒𝑚𝑝𝑡𝑠
8 𝑔𝑜𝑎𝑙𝑠
40 𝑎𝑡𝑡𝑒𝑚𝑝𝑡𝑠
8
8
1 𝑔𝑜𝑎𝑙
5 𝑎𝑡𝑡𝑒𝑚𝑝𝑡𝑠
÷ =
They are not equivalent.
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
5 Minute Check
Quiz Directions –
All answers should be on the right hand side
of the paper. I will not look at the left side!
You will have 20 minutes to finish the test.
Do not forget units, if needed.
When complete, bring it to my desk, go back to
your desk and work on page 62 and 63 in
your book.
Equivalent Ratios
Agenda Notes
Complete page 62 and 63 in your book
Homework – No Homework
Chapter 1 Test -Friday, Sept 11
Accum Rev 1 due by Sept 11