About This Chapter
Standard: Define appropriate quantities for the purpose of descriptive modeling (CCSS.Math.Content.HSN-Q.A.2).
About This Chapter
An understanding of this standard allows students to use descriptive models, such as pie charts and Venn diagrams, to describe and briefly summarize individual phenomena. For example, a student might choose to use a line graph to demonstrate how an area's population has changed over time or a bar graph to show how a company's profits have risen or fallen.
Lessons in this standard include the following:
- What is a descriptive model?
- Choosing appropriate units
- Understanding bar graphs and pie charts
- Summarizing categorical data using tables
- Creating and interpreting histograms
- Reading and interpreting line graphs
- Venn diagrams: Subset, disjoint, overlap, intersection & union
Students who have mastered this standard should be able to explain what a descriptive model is and identify appropriate units of measure. They also should be able to create and interpret various types of descriptive models, including bar graphs, pie charts, tables, histograms, line graphs and Venn diagrams.
How to Use These Lessons in Your Classroom
Here are some tips on incorporating our lessons on descriptive modeling into your curriculum to help students meet common core standards:
Choosing Appropriate Units Lesson
Have students watch the video lesson on Choosing Appropriate Units. Then, have each student survey his or her classmates about a common topic - for example, their favorite pizza topping or whom they voted for in the last presidential election. Have the student determine which method of descriptive modeling would best suit the presentation of this information. Each student will create a descriptive model based on his or her survey information and interpret the model for the class.
Venn Diagram Lesson
Have students watch the Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union lesson. Pair up students in groups of two. Have each student make a list of the items in his or her backpack. Then, have the pair work together to create a Venn diagram that shows items unique to each student's backpack as well as items common to both backpacks.
Pre-Quiz and Post-Quiz Lesson
Have students take the quiz for the Understanding Bar Graphs and Pie Charts course to gauge their strength in interpreting these types of descriptive models. Afterward, have them watch the video lesson and re-take the quiz to see if their comprehension has increased.
1. Understanding Bar Graphs and Pie Charts
In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.
2. Summarizing Categorical Data using Tables
Watch this video lesson to find out why data tables are an excellent way to summarize your categorical data. Learn what you need to do to your data before constructing a table and the two ways you can show your data.
3. What is a Histogram in Math? - Definition & Examples
Watch this video lesson to see how useful a histogram can be when you need to show a bunch of data in an easy to read format. Also, learn how you can easily gather the information you need from looking at a histogram.
4. Reading and Interpreting Line Graphs
Watch this video lesson to find out how useful line graphs can be and how much information you can gain just from looking at one. Learn how you can apply that information in your own life to help you make better decisions.
5. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union
The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.
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