Definitions
What is a ratio?
Relationship between 2 quantities
On a TV channel there is 1 min of commercials for every 5 min of TV shows. How many min of commercials would there be if there were 25 min of TV shows?
5 min of commercials (multiply by 5)
5:10
1:2
2 3
4 6
6 9
8 12
add 2, add 3
25x100
2500
what is an equivalent ratio?
ratios that can be simplified to equal ratios.
ratios that are equal.
Leo buys fabric at a craft store. Every 2 yards costs $7.00. If he pays $21 for fabric, how many yards does he buy?
6 yards (multiply by 3)
4:6
2:3
2 1
4 2
10 5
divide by 2
(or multiply by 2 and then by 5)
3443x 20
68, 860
what is a coordinate plane?
what is an ordered pair?
a graph
a point on a graph
(x, y)
Yuna reads for 18 minutes and she spends 6 min doing her math homework. How many min does she spend doing math homework if she reads for 36 min?
12 min (multiply by 2)
write a ratio equivalent to 3:5.
write a ratio NOT equivalent to 3:5.
6:10
6:12
3 10
6 20
12 40
21 70
39 130
multiply by
2
4
7
13
7389 / 9
821
what is ratio language?
using specific language to describe a ratio relationship.
"For every ____, there is/are _____."
A bouquet of roses and daisies has a total of 105 flowers. For every 2 roses, there are 3 daisies. How many roses are in the bouquet? How many daisies?
Draw a tape diagram!
42 roses
63 daisies
15:2
7.5:1
3 7
6 14
9 21
12 28
add 3. add 7
3:7
3744 / 6
624
what is multiplicative reasoning?
using multiplication to find an answer or solve a problem.
Do the smoothies have the same flavor?
Smoothie A: 2 bananas: 1 strawberry
Smoothie B: 5 bananas: 2 strawberries
Which one has a stronger strawberry flavor?
smoothie A: 2 ban/strawb.
smoothie B: 2.5 ban/strawb.
Smoothie A has a stronger strawberry flavor because it has less bananas.
250:25
10:1
4/3 1
1 3/4
4 3
multiply left side by 3/4
5/7
0.714