Download Cornell Notes: Dividing Decimals

Cornell Notes: Ratios, Unit Rates and Proportions
Topic: Students will be able to
identify ratios, find unit rates
and solve proportions
Questions/Main Ideas
Brain Pop Video: Ratios
Name: ___________________________________
Class/Teacher: __ ________________ Core: ________
Date: __________
Grade: __6______
Notes/Examples
Ratios: A ratio is a comparison of two numbers by division.
You can write a ratio three different ways:
6 to 2, 6:2,
Equivalent Ratios: Two ratios that name the same number are
equivalent ratios. You can find equivalent ratios by
multiplying or dividing each term of a ratio by the same
nonzero number.
Ex:
= =
Learn Zillion Video: Solve
rates using multiplicative
reasoning
Unit Rates: A rate is a ratio involving two quantities in different
units.
Ex: 150 heartbeats to 2 minutes compares heartbeats to minutes.
The rate for one unit of a given quantity is called the unit rate. Its
denominator is 1.
Ex:
÷ =
The unit rate is 75 heartbeats per minutes.
Ex: Find the unit rate for each situation:
A.) 92 desks in 4 classrooms
23 desks per classroom
B.) 45 miles per hour
9 miles per hour
C.) $19.50 for 3 shirts
$6.50 per shirt
D.) $29.85 for 3 presents
$9.95 per present
Ex: Find the better buy:
Crackers: 16 ounces for $2.39; 20 ounces for $3.19
$0.15 per ounce; or $0.16 per ounce; 16 oz for $2.39
Ex: There are 3 feet in 1 yard. Find the number of feet in a 15
yard run by a football player.
45 feet
Brain Pop video:
Proportions
Proportions:
A proportion is an equation stating that two ratios are equal.
You can find the cross products of two ratios by multiplying
the numerator of each ration by the denominator of the other
ratio.
The cross products of a proportion are always equal.
=
4 x 15= 3 x 20 60= 60
Example: Does each pair of ratios form a proportion?
A.) 1/2, 50/100 yes
B.) 10/20, 30/40 no
Solving Proportions using Cross Multiplying:
=
9* 4 = X * 6
36 = X* 6
X= 6
Example: Solve the following proportions:
=
n= 63
=
C= 40
Summary, Reflection, Analysis:
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