Developing Proportional Reasoning Word Wall by Ms. Foster https://padlet.com/angelfoster2014/92kg90fbgtwv Made with big dreams. en-us 2017-11-18 23:19:47 UTC 2026-01-04 13:59:41 UTC hello@padlet.com Unit Rate angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418167 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418167 Ratio angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418168 Definition:
Commonly a ratio is the comparison of two values of the same kind,
which may be written as a to b, a:b or as a fraction a/b.
The values can be compared as a part-part ratio or a part-whole ratio
Example: ]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418168 Part-to-Part angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418169 Definition: a part-part ratio compares a number of parts of a whole
to other parts in the whole.
Example: Ratio of males to females in a team.
Non Example: Ratio of males to all players on the team.]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418169 Part-to-Whole angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418170 Definition: a part-whole ratio compares a number of parts of a whole
Example: The ratio or girls to  students in a class.]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418170 Unitizing angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418171 Definition: To determine the measure of 1 unit.
Example:
If the image below represents 1 and 2/3 (One and two-thirds) What is the unit?
Correct Response:
3 sections would represent 1 whole or 1 unit.]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418171 Direct Variation angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418172 Definition: •one quantity is directly proportional to another when the ratio of the two quantities is constant (the same)
• one variable "varies directly" in line with the other.
Always crosses the origin (0, 0).
y=kx where k is constant.
Example:
]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418172 Unit Rate angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418173 Definition: a comparison of two measurements in which
one of the terms has a value of 1.
Inches per foot, milliliters per liter, and centimeters per inch, miles per gallon, square yards of wall coverage per gallon of paint, passengers per busload, and roses per bouquet are all unit rates. 
Example:
50 words per minute.
Non Example:
100 words in two minutes.
]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418173 Invarience angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418174 Definition:
When two quantities covary, they are invariant meaning the ratio between the two quantities stays the same even when they are changing.
Example: If one Triple Cheese Burger costs $5, the 5 Triple Cheese Burgers will cost $25. The ratio between Cheeseburgers and Cost does not change, it stays constant (1:5). ]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418174 Covarience angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418175 Definition: Covariation means that two quantities (a ratio) vary to­gether.
Real World Example: five mangos cost $2.00 (two quantities in a multiplicative relationship); as the number of mangos varies (for example, to 10 mangos), so does the cost. And as the cost changes, so does the number of mangos you will get. ]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418175 Inverse Variation angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418176 Definition: the relationship between two quantities where as one quantity (x) increases the other quantity (y) decreases in proportion.
•The graph of an inverse variation (indirect proportion) is a curve with no x-intercept or y-intercept.
xy = k where k is the constant of variation.
Example:]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418176 Relative Thinking angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418177 Definition: Seeing the multiplicative relationship between two quantites.
Real World Example:
Tree A is 4 feet tall. Tree B is 8 feet tall. Both trees grow 4 feet in the next month. 
A relative thinker might claim that the Tree A grew more that Tree B relative to its original height because tree A grew 2 twice its original height. ]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418177 Additive Relationships angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418178 Definition: Adding a constant about to an x value to get to the corresponding y value.
Example:
For every 2 girls there are 3 boys.]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418178 Absolute Thinking angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418179 Definition: Seeing the additive relationship between two quantities.
Real World Example:
A tree is 4 feet tall. The tree next to it is 8 feet tall. 
Both trees grow 4 feet in the next month. 
An absolute thinker might claim that both trees grew the same amount. ]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418179 Multiplicative Relationships angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418180 Definition:Multiplying any x value by the constant to arrive at the corresponding y value.
Example:
There are two-thirds as many girls as there are boys.]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418180 Non Example: angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418181 These are NOT similar figures. If you change the measurement of the sides on one figure, the measures of the sides on the other figures do not change, therefore they do not co-vary.]]> 2017-11-18 23:20:57 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418181 Example: angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418466 These are similar figures. If you change the measure of one side, the measure of the other sides change also. The side measurements co-vary.]]> 2017-11-18 23:26:39 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208418466 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208419675 This is relative reasoning.]]> 2017-11-18 23:54:42 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208419675 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208420153 This represents absolute reasoning:
Both trees grew the same amount because 4=4.]]> 2017-11-19 00:10:02 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208420153 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208420358 2017-11-19 00:15:38 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208420358 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208420379 2017-11-19 00:16:05 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208420379 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208920787 If the image below represents 1 and 2/3 (One and two-thirds) What is the unit?
Incorrect Response:
The whole circle is 1 unit.]]> 2017-11-20 23:29:05 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208920787 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208921260 The boy ran 1/3 as far as the girl.]]> 2017-11-20 23:33:06 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208921260 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208921982 The boy ran 4 meters less than the girl.]]> 2017-11-20 23:37:29 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208921982 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208924571 This is not a comparison of two values. ]]> 2017-11-20 23:56:29 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208924571 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208924894 2017-11-20 23:59:56 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208924894 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208925025 The ratio of boys to girls in a class is 1:3.
This is a part-to-part ratio.]]> 2017-11-21 00:01:36 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208925025 Non Example angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208926200 On your way home from school you travel 5 miles on the highway at a speed of 60 mph. Once you exit the highway, you travel 7 miles at 35 mph. Once you arrive at your subdivision, you travel 1/2 a mile at a speed of 10 mph. 
Your speed changes at different points throughout your trip so it is not invariant. ]]> 2017-11-21 00:13:01 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208926200 Example of Graph angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208932291 2017-11-21 01:04:48 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208932291 Example of Graph angelfoster2014 https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208932569 2017-11-21 01:06:41 UTC https://padlet.com/angelfoster2014/92kg90fbgtwv/wish/208932569