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Multiplicative Comparisons and Additive Comparisons
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Multiplicative Comparisons and Additive Comparisons
Learning Targets:
I can solve comparison word problems.
I can distinguish multiplicative comparisons from additive comparisons.
Additive Comparisons
Multiplicative Comparisons
Group Me
One quantity is a certain number of times as much or times as many as another quantity.
5 times as many as 4 is 20.
42 is 7 times as many as 6.
Compare a given greater quantity and a given lesser quantity, asking how much more/how many more or how much less or how many fewer.
*Sometimes the unknown quantity can be the difference between two given quantities.
Example:
Evan's dog weighs 63 pounds. Oxana's dog weighs 9 pounds. How much more does Evan's dog weigh than Oxana's dog? 63-9=n, n=54
1. Sarah's dog weighs 6 times as much as Oscar's dog. Together the dogs weigh 63 pounds. How much does Sarah's dog weigh? (Include a model)
2. Sarah's dog weighs 54 pounds. Oscar's dog weighs 9 pounds. How much more does Sarah's dog weigh than Oscar's dog?
Video:
https://learnzillion.com/lesson_plans/5223-solve-multiplicative-comparison-word-problems-by-using-a-multiplication-sentence#fndtn-lesson
Independent Practice
1. Carlita saw 6 times as many blue cars as red cars while waking down the street. She saw 7 red cars. How many cars did she see in total?
2. Valerie and Brett have a total of 24 racing ribbons. Brett has twice as many ribbons as Valerie. How many ribbons does each have?
3. Fred's frog jumped 9 times as far as Al's frog. The two frogs jumped a total of 36 times. How far did Al's frog jump?