Mathematics Grade 5 15 min

Circle graphs

Circle graphs

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1

Introduction & Learning Objectives

Learning Objectives Identify the key components of a circle graph, including the title, sectors, and labels. Interpret data presented in a circle graph to answer simple questions. Compare different parts (sectors) of a circle graph based on their size or percentage. Understand that the entire circle graph represents a whole, or 100% of the data. Use fractions or percentages to describe parts of a circle graph. Calculate simple sums or differences between data points shown in a circle graph. Explain what a circle graph shows about a set of data. Have you ever wondered how to quickly see how a whole group of things is divided up? 🍕 Imagine sharing a pizza with friends – a circle graph helps us see who gets what slice! In this lesson, you'll learn all about circle grap...
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Key Concepts & Vocabulary

TermDefinitionExample Circle Graph (Pie Chart)A type of graph that uses a circle divided into sectors (slices) to show how parts relate to a whole. Each sector represents a category of data.A circle graph showing favorite fruits of a class, with slices for apples, bananas, and oranges. WholeIn a circle graph, the entire circle represents the total amount or 100% of the data being shown.If a graph shows favorite pets of 20 students, the 'whole' is all 20 students. Sector (Slice)A section of the circle graph, shaped like a slice of pie, that represents a specific category or part of the whole data.In a graph about favorite colors, the 'blue' sector is one slice of the circle. LabelText or numbers on a circle graph that identify what each sector represents and its value (...
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Core Formulas

The Whole Circle Rule The sum of all parts (sectors) in a circle graph must always equal the whole, which is 100% or 1. When you add up all the percentages shown in a circle graph, they should always total 100%. If using fractions, they should add up to 1. Part-to-Whole Relationship \text{Part} = \text{Fraction of Whole} \times \text{Total Number} \quad \text{or} \quad \text{Part} = \frac{\text{Percentage}}{100} \times \text{Total Number} To find the actual number of items a sector represents, multiply the total number of items by the fraction or percentage (as a decimal) shown for that sector. Comparing Parts Rule \text{Larger Percentage/Fraction} = \text{Larger Part} The larger the sector (slice) or the higher its percentage/fraction, the greater the amount of data...

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Sample Practice Questions

Challenging
A circle graph shows 60 marbles: Red (50%), Blue (25%), and Green (25%). If 5 red marbles are removed and replaced with 5 green marbles, what is the new percentage for the Green sector?
A.20%
B.25%
C.30%
D.40%
Challenging
A circle graph represents 120 books. 'Fiction' is 1/2 and 'Non-Fiction' is 1/3. The rest are 'Reference' books. How many more Fiction books are there than Reference books?
A.20
B.30
C.40
D.60
Challenging
A company with 200 employees made a circle graph of their commute. 50% drive and 30% take the bus. Of the rest, the number who walk is three times the number who bike. How many employees bike?
A.10
B.20
C.30
D.40

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