Circle Graphs

Circle Graphs

15th Grade Math

HookCircle Graphs4th GradeSPI 0406.5.1 Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs)

5th GradeSPI 0506.5.1 Depict data using various representations, including decimal and/or fractional data.

PurposeToday we will be learning how to display data using circle graphs.

This type of graph is also called a pie graph. Can anyone tell me why?

Essential Question

Why do we use circle or pie graphs?

AssessmentSPI 0506.5.1 Depict data using various representations, including decimal and/or fractional data.

You will be graded on SPI 5.1 through:

daily grade on your assignmentunit testTCAP practice quiz

ActivitiesUse fraction circles to make circle graphs.Learn a method for creating each fraction without the fraction circles. Apply your knowledge while creating an M&M Graph.Analyze each of the three graphs from activity 1. Create a graph to help solve a real life problem.In the first activity, you will learn how each section of the graph can be represented as a fraction.

Fraction CirclesWork with a partner.Use your fraction circles to create each of the following circle graphs.Label each section of the circle graph with the correct fraction.

horrorcomedy

A class of students were asked to vote on their favorite genre of movie. The results are pictured in this pie graph.fairytaleaction

rode the busrode in a carroad a bikewalked

A class of students were asked to how they got to school. The results are pictured in this pie graph.

fallsummerspringwinterA class of students were asked to name their favorite season. The results are pictured in this pie graph.

In the second activity, you will learn a method for creating each fraction without the fraction circles.

When in everyday life have you been asked to name parts of a whole?Has your whole class ever voted on the student menu?When you were studying genetics in Ms. Jarvis class, did you look to see how many students in the whole class had different color eyes, could roll your tongue, or had attached ear lobes, etc.?

Circle GraphsCircle graphs are used to compare parts to a whole. When you add the fractions on a circle graph they will equal 1.

Example: The whole class voted on the best food to have for a class party, Some might say

cake others ice cream

cookies or watermelon

This information may be charted on a circle graph.

8 choseice cream4 choseice cream3 choseice cream5 choseice creamEach section of the graph may be represented as a fraction. First add the number of students in the class.

8 choseice cream4 choseice cream3 choseice cream5 choseice cream8534+__________20This number becomes the denominator. The number of students who voted for each item becomes the numerator.

8------205------203------204------20Simplify each fraction.

8------205------203------204------20= 2------5= 1------4= 1------5Class Party Favorites

3------202------51------41------5ice creamcakecookieswatermelonAnother ExampleHow do you spend your time on a school day?

playing on the computer eating

playing going to school

sleeping taking a bath

8 hours - sleeping8 hours in school

3 hours playing

3 hours watching TV or working on the computer1 hour bathing1 hour eating

8____24

3___24

3___241___241___248____248____24

3___24

3___241___241___248____24Simply=1____3=1____3=1___8=1___8

124124How I Spend My Day13131818sleeping

in schoolplayingwatching TV or working on the computereatingbathingNow you try one.Each of you will receive a different set of information. Use this information to determine the fractions for each section of a circle graph.Differentiated InstructionNow you will apply your knowledge to create a circle graph.

M&M MathOpen your package of M&MsSort the candy by colors.Line up the colors around your paper plate. Be sure to space the candies evenly.

M&M MathDraw lines between each color.

Using a crayon to match each color candy, write the number to of M&Ms on small sticky notes and place them in the correct place on your plate.

On a piece of scratch paper, turn each number into a fraction.

Write the fraction with the color crayon that is the same as the M&M candy onto the correct location of your plate.

Look back at the circle graphs from activity 1 and answer the questions.

Answer the questions about each circle graph in Activity 1.

In this final activity you will help solve a real life problem by creating a circle graph to inform students at Mountain City Elementary of the importance of recycling. You will discuss and decide on a way to use this project to inform students of the need to recycle.

Typical US SchoolType of WasteFractionPaper 47100Food 32100Plastic 12100Metal 4100Glass 2100Miscellaneous 3100Use the information to create a circle graph.

paperfoodplasticmetalglassmiscellaneous

Group ActivitySet goals for your group by giving each student a task.Simplify the fractions.Draw lines on circle graph.Give the project a title and write it on the construction paper.Label each section of the circle graph.Plan a way to display this graph in the school to inform students to be more aware of recycling.

HomeworkBring in two circle graphs tomorrow. You may find them:in your science or social studies textbooksin a newspaper or magazinein a library bookWe will use the graphs you bring in as part of our lesson.Circle GraphsSPI 0506.5.1 Depict data using various representations, including decimal and/or fractional data. ReflectionWrite a sentence to explain what a circle graph is.Write a sentence to explain why we use circle or pie graphs.

Extra Practicehttp://www.eduplace.com/math/mw/practice/4/practice/15_2.pdfhttp://www.superteacherworksheets.com/graphing/pie-graph-simple-3.pdfhttp://www.nsa.gov/academia/_files/collected_learning/elementary/fractions/circle_graphs.pdfhttp://www.scholastic.com/content/collateral_resources/pdf/a/af_les1_rep1-pie.pdf

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