Double Number Lines
A recipe for fruit punch uses 2 cups of orange juice for every 3 cups of pineapple juice.
Use a double number line to show this ratio.
How many cups of pineapple juice are needed for 8 cups of orange juice?
12
To make a smoothie, you mix 2 cups of strawberries with 1 cup of yogurt.
Question:
How many cups of yogurt are needed for 4 and 6 cups of strawberries?
4 cups strawberries → 2 cups yogurt
6 cups strawberries → 3 cups yogurt
A cube has sides that are 4 cm long.
What is its surface area?
A cube has 6 equal square faces.
Each face = 4×4=16
Surface area = 6×16=96
Answer: 96 cm²
A rectangle is 8 cm long and 5 cm wide.
What is its area?
A=l×w
How old is Ms. T?
20
For every 2 apples, there are 3 oranges.
Use a double number line to show the ratio.
How many oranges go with 4 apples?
4 apples = 6 oranges
You can make 12 cupcakes with 3 cups of flour.
Question:
How many cupcakes can you make with 6 or 9 cups of flour?
6 cups → 24 cupcakes
9 cups → 36 cupcakes
A standard die is a cube with sides of 1 inch.
What is the total surface area?
Each face = 1×1=1
There are 6 faces → 6x1=6
Answer: 6 in²
A triangle has a base of 6 m and a height of 4 m.
Find its area.
A=2×b×h
How many "children" does Ms.T have?
2
A bag has 5 red candies for every 10 blue candies.
How many blue candies are there for 15 red candies?
15 red = 30 blue
Each movie ticket costs $8.
Question:
What is the total cost for 2, 4, and 5 tickets?
2 → $16
4 → $32
5 → $40
A rectangular tissue box is 4 in long, 2 in wide, and 2 in high.
Find the surface area.
Surface area = 2(lw+lh+wh)
= 2(4×2+4×2+2×2)
= 2(8+8+4)=2(20)=40
Answer: 40 in²
A rectangular box is 5 cm long, 4 cm wide, and 3 cm high.
Find its volume.
V=l×w×h
What 2 operations do you NOT use with ratios?
Addition and subtraction
To make lemonade, you mix 1 cup of lemon juice with 4 cups of water.
How much water do you need for 3 cups of lemon juice?
3 cups lemon juice = 12 cups water
Liam reads 20 pages in 30 minutes.
Question:
How many pages does Liam read in 60 and 90 minutes?
60 minutes → 40 pages
90 minutes → 60 pages
A rectangular box is 2 in × 2 in × 3 in.
Find the surface area.
Answer: 32 in²
A rectangle has a length of 6 cm and a width of 4 cm.
Find its area.
Formula:
A=l×w
What we do to one side.....
WE DO TO THE OTHER
A classroom buys 6 packs of pencils for $12.
Use a double number line to represent this ratio.
What is the cost of 9 packs of pencils?
How many packs can be bought for $20?
9 packs → $18
$20 → 10 packs
A pack of markers costs $5 for 2 packs.
Question:
What is the cost for 4 and 6 packs?
4 packs → $10
6 packs → $15
A shoe box measures 5 cm long, 3 cm wide, and 2 cm high.
Find the surface area of the box.
Surface area = 2(lw+lh+wh)
= 2(5×3+5×2+3×2)
= 2(15+10+6)
= 2(31)=62
✅ Answer: 62 cm²
A parallelogram has a base of 10 m and a height of 6 m.
Find the area.
A=b×h
When is Ms.T's Birthday?
November 26th