7th Grade - Ratios and Proportional Reasoning Review
ordered pair
A pair of numbers used to locate a point on the coordinate plane.
Division Problem
Every fraction is what type of problem?
Equivalent Ratio
Ex: 2/6 and 1/3;
0.24
Gina will save ___________ if she buys from Store B.
Step 2
Make your conversion boxes
100
What does every percent relate to?
Cups per days
What is being compared?
Beginning unit rates
16 meters per second
3/125
2 2/5 % Solve this problem
1,760
20 mi/h = ____________ ft./min Solve using the steps in the example
2
20mi/h =______________ ft./min. How many conversion boxes are needed?
n = 12.8
3.2/9 = n/36 Solve equation
n = 16.4
41/n = 5/2 Solve equation
Rate
A ______________ is a ratio that compares two quantities with different units of measure.
23
A car can travel 585 miles on 15 gallons of gas. How many gallons of gas does this car need to travel 897 miles?
Divide
A car can travel 585 miles on 15 gallons of gas. How many gallons of gas does this car need to travel 897 miles? After finding the unit rate _______________ 897 miles and unit rate to find number of gallons.
Complex Fractions
A fraction that contains one or more fractions in its numerator or denominator.
2.1
A train travels at 125 miles per hour. Convert the speed to miles per minute. Round to the nearest tenth. The train traveled ______ miles per minute.
Yes
A vine grows 7.5 feet every 5 days Is the length of the vine on the last day proportional to the number of days of growth?
1.5 ft./day
A vine grows 7.5 feet every 5 days. How many feet does it grow per day. Use table to solve.
248 miles
After 3.5 hours, Nick traveled 217 miles. If he travels at a constant speed, how far will he travel after 4 hours? You can solve this by setting up a proportion. Solve for the variable.
20
Compare the unit rate of the 3 bags of Dog Food. The ___________ pound bag has the lowest price. Ex: $/lb
Steps 1
Fill out beginning and end.
No
Is it Proportional?
5 1/3
Josiah can jog 1 1/3 miles in 1/4 hour. His average speed was _________ miles per hour.
5
Logan entered a canoe race. He rowed 2 1/2 miles in 1/2 hour. The average speed was ______________ miles per hour?
0.13
Mrs. Dinges needed to buy pencils for her classroom. She could buy pencils from Walmart for $2.50 for 20 pencils. Target had pencils for $2.00 FOR 12. Calculate unit rate for each store. What was the cost per pencil of the lowest rate.
Walmart
Mrs. Dinges needed to buy pencils for her classroom. She could buy pencils from Walmart for $2.50 for 20 pencils. Target had pencils for $2.00 FOR 12. Which store had the better unit rate.
Proportional
Quantities that have a constant unit rate or ratio are __________________.
Complex Fraction Form
Solve 2 2/5 % by writing as a ____________ ______________.
3.6
Solve the proportion using the butterfly method.
30
The bag will last _________ days.
Unit Rate
The denominator is 1 unit.
Constant Rate of Change
The rate of change between any two points in a linear relationship is the same or constant.
slope
The rate of change between any two points on a line. It is the ratio of vertical change to horizontal change. The ______________ tells how steep the line is.
Non-Proportional
The relationship between two ratios with a rate or ratio that is not constant
multiply
The restaurant paid $10.50 for 12 loaves of bread. Determine the cost of 5 loaves of bread. After finding the unit rate ________________ 5 loaves and unit rate to find cost.
4.38
The restaurant paid $10.50 for 12 loaves of bread. Determine the cost of 5 loaves of bread. The 5 loaves cost $_________________.
3,080
Thirty-five miles per hour is the same rate as ___________ feet per minute. I can solve this by using Convert Unit Rate.
Straight line and goes through the origin (0,0).
What two things tell you that it is proportional or not proportional?
Solve Proportions
When you have two equivalent fractions you can _________ ______________ by finding the missing value.
End of conversion
centimeters per minute
conversion box
converting meters to centimeters
Converting unit rates
converting minutes to seconds ___________________________________.
n = 4
n/7 = 32/56 Solve equation