Mathematics Grade 4 15 min

Circle graphs

Circle graphs

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Introduction & Learning Objectives

Learning Objectives Identify the key parts of a circle graph, including the title, labels, and sectors. Explain that a complete circle graph represents a whole or 100% of the data. Read and interpret data presented in a circle graph to understand what it shows. Visually compare the sectors of a circle graph to determine which categories are largest, smallest, or equal. Relate common fractions, such as 1/2 and 1/4, to the corresponding sectors of a circle graph. Answer simple questions based on the information presented in a circle graph. If a pizza was cut into slices to show your class's favorite toppings, which topping would get the biggest slice? 🍕 Let's find out how graphs can show us! Today, we are going to learn about a special kind of graph called a circle...
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Key Concepts & Vocabulary

TermDefinitionExample Circle Graph (or Pie Chart)A graph shaped like a circle that is divided into slices to show how a whole amount is broken up into parts.A chart showing that out of all students, 1/2 have dogs, 1/4 have cats, and 1/4 have other pets. SectorA slice or wedge-shaped section of the circle graph. Each sector stands for a different category or part of the whole.In a 'Favorite Colors' graph, the blue slice is one sector, and the red slice is another sector. WholeThe total amount of everything being shown in the graph. The entire circle represents the whole.If the graph shows the pets of 20 students, the 'whole' is all 20 students. TitleThe name of the circle graph, which tells you what information the graph is about.A graph about student pets might have th...
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Core Formulas

The Whole Circle Rule Sum of all sectors = 1 Whole All the slices (sectors) of the circle graph must add up to the total amount. The entire circle always represents the complete group or 100% of the data. The Sector Size Rule Size of Sector ∝ Amount of Data The size of a sector is directly related to the amount of data it represents. A bigger slice means that category has a larger value or was chosen more often. The Fraction Rule Sector = Part / Whole Each sector represents a fraction of the whole. You can often estimate these fractions by sight, such as 1/2 (half the circle) or 1/4 (a quarter of the circle).

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Sample Practice Questions

Challenging
A circle graph shows 'How a Class of 28 Students Voted for a Mascot.' The 'Lions' sector is 1/2 of the circle. The 'Tigers' sector is 1/4. The rest of the students voted for 'Bears.' How many students voted for Bears?
A.7 students
B.14 students
C.4 students
D.10 students
Challenging
A circle graph represents 48 students' favorite desserts. 'Ice Cream' is half the circle. 'Cookies' is half of the *remaining* part. The rest is 'Cake.' How many students chose Cake?
A.24 students
B.16 students
C.8 students
D.12 students
Challenging
You survey 32 friends about their favorite game. 16 chose Video Games, 8 chose Board Games, and 8 chose Card Games. Which statement accurately describes the circle graph you would create?
A.The Video Games sector would be one-quarter of the circle
B.The Board Games and Card Games sectors would each be one-quarter of the circle
C.The Board Games sector would be larger than the Card Games sector
D.The Video Games sector would be one-half of the circle

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