Circle Graphs

Hook

Circle Graphs 4 th Grade SPI Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs) 5 th Grade SPI Depict data using various representations, including decimal and/or fractional data.

Purpose Today 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?

Assessment SPI Depict data using various representations, including decimal and/or fractional data. You will be graded on SPI 5.1 through: O daily grade on your assignment O unit test O TCAP practice quiz

Activities 1. Use fraction circles to make circle graphs. 2. Learn a method for creating each fraction without the fraction circles. 3. Apply your knowledge while creating an M&M Graph. 4. Analyze each of the three graphs from activity Create a graph to help solve a real life problem.

O In the first activity, you will learn how each section of the graph can be represented as a fraction.

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

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

rode the bus rode in a car road a bike walked A class of students were asked to how they got to school. The results are pictured in this pie graph.

fall summer spring winter A class of students were asked to name their favorite season. The results are pictured in this pie graph.

O 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 Graphs O Circle 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

O This information may be charted on a circle graph. 8 chose ice cream 4 chose ice cream 3 chose ice cream 5 chose ice cream

Each section of the graph may be represented as a fraction. First add the number of students in the class. 8 chose ice cream 4 chose ice cream 3 chose ice cream 5 chose ice cream __________ 20

This number becomes the denominator. The number of students who voted for each item becomes the numerator

Simplify each fraction = = =

Class Party Favorites ice cream cake cookies watermelon

Another Example How do you spend your time on a school day? playing on the computer eating playing going to school sleeping taking a bath

8 hours - sleeping 8 hours – in school 3 hours – playing 3 hours watching TV or working on the computer 1 hour – bathing 1 hour – eating

8 ____ 24 3 ___ 24 1 ___ 24 8 ____ 24

3 ___ 24 1 ___ 24 8 ____ 24 Simply = 1 ____ 3 = = 1 ___ 8 =

1 24 How I Spend My Day sleeping in school playing watching TV or working on the computer eating bathing

Now you try one. O 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 Instruction

O Now you will apply your knowledge to create a circle graph.

M&M Math O Open your package of M&M’s O Sort the candy by colors. O Line up the colors around your paper plate. Be sure to space the candies evenly.

M&M Math O Draw lines between each color. O 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. O On a piece of scratch paper, turn each number into a fraction. O Write the fraction with the color crayon that is the same as the M&M candy onto the correct location of your plate.

O 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 School Type of WasteFraction Paper Food Plastic Metal Glass Miscellaneous 3 100

Use the information to create a circle graph. paper food plastic metal glass miscellaneous

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

Homework O Bring in two circle graphs tomorrow. You may find them: O in your science or social studies textbooks O in a newspaper or magazine O in a library book O We will use the graphs you bring in as part of our lesson.

Circle Graphs SPI Depict data using various representations, including decimal and/or fractional data.

Reflection O Write a sentence to explain what a circle graph is. O Write a sentence to explain why we use circle or pie graphs.

Extra Practice O ce/4/practice/15_2.pdf ce/4/practice/15_2.pdf O raphing/pie-graph-simple-3.pdf raphing/pie-graph-simple-3.pdf O ed_learning/elementary/fractions/circle_gr aphs.pdf ed_learning/elementary/fractions/circle_gr aphs.pdf O al_resources/pdf/a/af_les1_rep1-pie.pdf al_resources/pdf/a/af_les1_rep1-pie.pdf

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