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Designing Rail Fences: Analyzing Posts and Rails Using Scatter Plots

In this chapter, students engage with practical math problems involving fence design. Sainan and Nitharsana analyze rail fences with specific sections to calculate the necessary number of posts and rails using scatter plots. Usha's reading strategy for a 219-page novel and Thivya's contrasting estimate are compared, while the student council's car wash fundraiser presents a real-world application of math. Students will choose strategies, like tables of values or scatter plots, to solve complex problems and explain their reasoning.

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Designing Rail Fences: Analyzing Posts and Rails Using Scatter Plots

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  1. SECTION 4.5 REVIEW Grade 7 – Chapter 4

  2. QUESTION #5 • Sainan is designing fences for a summer job. One kind of rail fence has three rails and one post per section • Use a scatter plot to determine the number of posts and rails he will need for a fence that is 12 sections. Explain what you did. 1 Section

  3. A) 12 Sections Long

  4. QUESTION #8 • Nitharsana is building a rail fence that has sections like this. • Use a scatter plot to determine the number of posts and rails Nitharsana will need to build each fence. 1 Section

  5. A) 8 Sections long B) 14 Sections long

  6. MATH CONGRESS QUESTION ONE QUESTION TWO • Usha reads 10 pages of a novel on night 1. Each night after that she reads three pages more than the night before. Usha thinks she can finish reading her 219 page novel in 10 days. Thivya thinks it’ll take her 22 days. • The student council held a car wash to raise $200 for the Children’s Hospital. In the first hour they washed three cars. Each hour after that the number of cars they washed increased by two. How many cars did they wash at the end of 6 hours? If they charged $5.00 per car did they reach their goal? What strategy will you use, Table of Values or a Scatter Plot to solve the problem? Why did you choose that strategy.

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