Solve multi-step real-world problems with rational numbers.
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Lessons 10 and 11 engage students in solving multi-step real-world problems, drawing on skills from Units 1–3. There is only one Anchor Problem in this lesson that can be introduced as a whole class and then completed by the students in pairs or small groups. For these challenging problems, students would benefit from a mix of peer collaboration time, independent work time, and teacher-led discussion.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from discussion). This could also be done in small groups. Find more guidance on adapting our math curriculum for remote learning here.
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Below is a table showing the number of hits and the number of times at bat for two Major League Baseball players during two different seasons:
Season | Derek Jeter | David Justice |
1995 | 12 hits in 48 at bats | 104 hits in 411 at bats |
1996 | 183 hits in 582 at bats | 45 hits in 140 at bats |
A player's batting average is the fraction of times at bat when the player gets a hit.
Who has the better batting average? Justify your answer.
Who is the Better Batter?, accessed on Oct. 9, 2017, 11:34 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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You have a large sheet of paper that measures $$18\frac{1}{2}$$ inches by $$20$$ inches. You need to cut it into $$6$$ equal-sized rectangles.
a. Find two different sets of dimensions for the smaller rectangle pieces of paper.
b. Will the areas of the two rectangles you found in part a be the same? Explain and give the area(s) in square inches.