Download Homework: handout 1-9

Homework: handout 1-9
Daily Review:
1. The number 108 can be expressed as the sum 100+8. Which shows how
to use the distributive property to rewrite that sum as a multiple of a
sum whose addends have no common factors?
a. 2(50+4)
b. 4(25+2)
c. 5(20+1)
d. 8(12+1)
2. Which of the following is equivalent to 33 + 77?
a. 7 (3+11)
b. 3(11+7)
c. (3x11) x (7x11)
d. 11 (3+7)
GPS: MCC6.RP.1 Understand the concept of a ratio
and use ratio language to describe a ratio relationship
between two quantities.
Essential Questions
• What information do I get when I
compare two numbers using a ratio?
• What kinds of problems can I solve by
using ratios?
Think-Pair-Share
1. How many boys are in the room?
2. How many girls are in the room?
3. What is the ratio of boys to girls?
*Express your answer in three different
ways?
Unit 2 Important Terms
Vocabulary
Definition
Rational Number
A number that can be
expressed as the ratio of
𝒂
two integers in the form ,
𝒃
where b is not equal to 0.
Ratio
A comparison of two
numbers using division
Quantity
The “amount” of
something
Example
A ratio can be expressed three ways:
• Using the fraction bar as in
2
3
• Using a colon symbol as in 2:3
• Using the word “to” as in 2 to 3.
*** always simplify your answer if
needed by dividing by the GCF
Guided Practice
Write each ratio using the other two ways:
1. The ratio of 4 inches to 20 feet.
2. The ratio of 26 students: 1 class
3. The ratio of 2 𝑏𝑜𝑦𝑠
3 𝑔𝑖𝑟𝑙𝑠
Independent Practice
*model ratios using tangrams
*express 3 different ways
*write your answer as a sentence
1. What is the ratio of tan tangrams to yellow tangrams?
2. What is the ratio of red tangrams to total tangrams?
3. What is the ratio of orange tangrams to blue
tangrams?
4. What is the ratio of orange tangrams to total
tangrams?
Create 2 of your own ratio questions using the tangrams
and let your partner answer your questions.
Extending and Refining
The students in Mr. Hill’s class played games at recess.
• 6 boys played soccer
• 4 girls played soccer
• 2 boys jumped rope
• 8 girls jumped rope
Afterward, Mr. Hill asked the students to compare the
boys and girls playing different games.
• Mika said,
– “Four more girls jumped rope than played
soccer.”
• Chaska said,
– “For every girl that played soccer, two girls
jumped rope.”
Mr. Hill said, “Mika compared the girls by looking at
the difference and Chaska compared the girls using a
ratio.”
1. Compare the number of boys who
played soccer and jumped rope using
the difference. Write your answer as a
sentence as Mika did.
2. Compare the number of boys who
played soccer and jumped rope using
a ratio. Write your answer as a
sentence as Chaska did.
3. Compare the number of girls who
played soccer to the number of boys
who played soccer using a ratio. Write
your answer as a sentence as Chaska
did.
Summarizing
What is the ratio of cats to dogs in a
neighborhood that has 9 dogs and 3 cats?
Express 3 different ways.