Curriculum / Math / 6th Grade / Unit 8: Statistics / Lesson 14
Math
Unit 8
6th Grade
Lesson 14 of 14
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Lesson Notes
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Analyze circle graphs in context.
The core standards covered in this lesson
6.SP.B.4 — Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
The foundational standards covered in this lesson
4.MD.C.5 — Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
6.RP.A.3.C — Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
You have a $1,500 budget for your trip to Atlanta, not including transportation costs. You have created the circle graph below to represent how you would like to spend your money on your trip. Use the circle graph to answer the questions that follow.
a. What percent of your money did you set aside for activities?
b. How much money do you plan to spend on hotels?
c. How much more money did you set aside for food than for shopping?
d. You pick up an extra few shifts at your weekend job, and you now have an additional $300 to put toward your trip. How much more money do you have for activities with the extra money?
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A doctor recommends a diet with the following daily nutritional breakdown. Use the circle graph to answer the questions that follow.
a. The doctor recommends equal daily portions of dairy and fruit. What fraction of your daily food intake should be dairy?
b. One of the doctor’s patients takes in approximately 2,000 calories per day. Another patient takes in about 1,600 calories per day. How many more calories per day should the first patient be getting from protein than the second patient?
c. A third patient says that she aims to take in 550 calories per day from vegetables. Approximately how many total calories does this patient take in daily?
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
The circle graph below shows Jordan’s weekly exercise.
Jordan spends an equal amount of time playing basketball and doing dance each week. If she spent $${1{1\over2}}$$ hours playing basketball in a week, then how many total hours did Jordan spend exercising during the week?
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Topic A: Understanding Statistics & Distributions
Define and identify statistical questions.
Standards
6.SP.A.16.SP.B.5.A
Describe data that is represented in a dot plot. Represent data using dot plots and frequency tables.
6.SP.B.46.SP.B.5.A
Represent data using histograms.
6.SP.B.4
Describe and analyze the overall shape of dot plots and histograms, including symmetry, skewness, outliers, and clusters.
6.SP.A.2
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Topic B: Measurements of Center & Variability
Define and determine the mean of a data set.
6.SP.A.26.SP.B.5.C
Define and determine the median of a data set.
Define and determine the mode of a data set.
Determine which measure of center best represents a data set. Determine how measures of center change when data is added or removed.
6.SP.A.26.SP.B.5.D
Use the range and interquartile range to understand the spread and variability of a data set.
Understand and determine mean absolute deviation (MAD) as a measure of variability of a data set.
6.SP.B.5.C
Compare measures of center and measures of spread to describe data sets.
6.SP.A.3
Topic C: Box Plots & Circle Graphs
Represent data using box plots.
6.SP.B.46.SP.B.5
Analyze box plots and other representations, and summarize numerical data in context.
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