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Comparing Bits & Pieces
Ratios, Rational Numbers, and Equivalence
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Investigation 1.1
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1.1
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1.1 Handout
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1.1
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1.1 How do you think Lakisha would compare the 8th grade and the 7th grade goals? What do you think the 2 and the 3 in Kim’s comparison mean? Can you complete this statement? “For every 30 dollars the 6th graders plan to collect, the 7th graders plan to collect _____ dollars.”
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1.1 What other comparisons could you make that show similar thinking to Markus’ comparison? What do the numerator and denominator mean in Lakisha’s comparison? The numbers 1 and 2 appear in Andres’ comparison; do they mean the same thing there as in Lakisha’s comparison? What about Ben’s comparison? Why don’t the 2 and 3 from Kimi’s comparison show up there?
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Investigation 1.2
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1.2
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1.2
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1.2
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1.2 What does the “for every” part of your statement mean?
How many sets of $150 are in the 6th grade goal? How many sets of $225 are in the 7th grade goal? How many sets of $30 are in the 6th grade goal? How many sets of $45 are in the 7th grade goal? How many sets of $60 are in the 6th grade goal? How many sets of $30 are in the 8th grade goal?
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Investigation 1.3
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1.3
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1.3 What fraction represents the amount raised out of the total goal?
How did you find it? How do the illustrations of folded fraction strips resemble thermometers?
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1.3
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1.3
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1.3
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1.3
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1.3
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1.3
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Investigation 1.4
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1.4
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1.4 Did the 6th graders meet their goal?
How do you know the 6th graders kept adding to their total? Do the 6th graders have twice as much on Day 4 as Day 2? How can you measure the 6th graders’ progress on Day 2?
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1.4
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1.4
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1.4
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1.4 What is the whole for this situation?
If the 6th grade and 7th grade reach half their goals, does that mean both grades made the same amount of money? What are some ways you have found to write equivalent fractions? How can you use factors and multiples to write equivalent fractions?
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Investigation 1.5
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1.5 Launch Video
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1.5
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1.5
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1.5
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1.5
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Investigation 2.1
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2.1
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2.1
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2.1
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2.1
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2.1
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Investigation 2.2
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2.2 Launch Video
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2.2
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2.2
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2.2
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Investigation 2.3
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2.3
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2.3
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2.3
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2.3
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2.3
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Investigation 3.1
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3.1 Launch Video
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3.1
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3.1
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3.1
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3.1
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3.1
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3.1
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3.1
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3.1
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3.1
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3.1
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Investigation 3.2
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3.2
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3.2 Handout for A & B
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3.2
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3.2
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Investigation 3.3
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3.3
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3.3
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3.3
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3.3
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3.3
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3.3
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3.3
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3.3
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3.3
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Investigation 3.4
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3.4 Launch Video
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3.4
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3.4
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3.4
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3.4
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3.4
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3.4
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3.4
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3.4
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Investigation 3.5
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3.5
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3.5
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3.5
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3.5
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3.5
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Investigation 4
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4.1
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4.1 Launch Video
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4.1
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4.1
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4.1
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Investigation 4.2
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4.2
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4.2
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4.2
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4.2
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Investigation 4.3
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4.3
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4.3
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