Rational Numbers
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Warm Up
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Rational Numbers
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Warm Up
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Standards for Mathematical Content
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Rational Numbers
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7.NS.A.2.D
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
Standards for Mathematical Content
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Rational Numbers
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7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Standards for Mathematical Content
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Rational Numbers
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Standards for Mathematical Practice
MP1
Make sense of problems and persevere in solving them.
MP2
Reason abstractly and quantitatively.
MP3
Construct viable arguments and critique the reasoning of others.
MP4
Model with mathematics.
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Rational Numbers
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Standards for Mathematical Practice
MP5
Use appropriate tools strategically.
MP6
Attend to precision.
MP7
Look for and make use of structure.
MP8
Look for and express regularity in repeated reasoning.
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Rational Numbers
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Students will identify terminating and repeating decimals, and use long division to convert rational numbers to decimals.
Lesson Goal
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Rational Numbers
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Learn�Rational Numbers
Number | Explanation |
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Rational Numbers
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Learn�Rational Numbers
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Learn�Rational Numbers Written as Decimals
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Rational Numbers
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Learn�Rational Numbers Written as Decimals
Complete the table by writing each decimal using bar notation.
Decimal | Bar Notation |
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Rational Numbers
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Learn�Rational Numbers Written as Decimals
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Rational Numbers
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Pause and Reflect
Are you ready to move on to the Example? If yes, what have you learned that you think will help you? If no, what questions do you still have? How can you get those questions answered?
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Rational Numbers
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Example 1�Write Fractions as Decimals
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Example 1�Write Fractions as Decimals
Think About It!
Can you predict whether the decimal will be terminating or repeating?
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Rational Numbers
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Example 1�Write Fractions as Decimals
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Example 1�Write Fractions as Decimals
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Rational Numbers
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Example 1�Write Fractions as Decimals
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Rational Numbers
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Example 1�Write Fractions as Decimals
A
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Example 2�Write Fractions as Decimals
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Example 1�Write Fractions as Decimals
Think About It!
How does the denominator of the fraction help you determine if the decimal will terminate?
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Rational Numbers
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Example 2�Write Fractions as Decimals
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Example 2�Write Fractions as Decimals
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Example 2�Write Fractions as Decimals
Talk About It!
If the fraction is negative, how will this affect how it is written in decimal form?
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Example 2�Write Fractions as Decimals
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Example 2�Write Fractions as Decimals
C
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Two vendors at a craft show are selling signs. The lengths of signs offered by Signs & More and Wood Works are shown in the table. Each sign has the same price. Henry wants to buy the longest of each kind of sign. From which vendor should he buy each style of sign?
Apply�Crafting
| Signs & More | Wood Works |
rounded corner sign | | |
square corner sign | | |
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Rational Numbers
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Apply�Crafting
Talk About It!
Did you convert any of the numbers to a different form in order to solve the problem? Explain.
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Apply�Crafting
Check
During field day, a school had a long jump contest. The top six results of the competition are shown in the table. The teacher wants to award a ribbon to the longest jump by both a 6th grader and a 7th grader, as well as a trophy for the longest jump overall. Who receives the ribbons? Who receives the trophy?
| Grade Level | Length of Jump (ft) |
Bentley | | |
Grant | | |
Luna | | |
Miguel | | |
Reece | | |
Trevor | | |
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Rational Numbers
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Apply�Crafting
Check
During field day, a school had a long jump contest. The top six results of the competition are shown in the table. The teacher wants to award a ribbon to the longest jump by both a 6th grader and a 7th grader, as well as a trophy for the longest jump overall. Who receives the ribbons? Who receives the trophy?
| Grade Level | Length of Jump (ft) |
Bentley | | |
Grant | | |
Luna | | |
Miguel | | |
Reece | | |
Trevor | | |
Ribbon: Luna and Trevor
Trophy: Trevor
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Create a graphic organizer to record the steps to writing a fraction as a decimal and then determining if the decimal is a terminating decimal.
Pause and Reflect
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Exit Ticket
In baseball, a batting average is the ratio of the number of hits a player has to the number of at bats. It is typically written as a decimal rounded to the nearest thousandth. A player's batting average changes throughout the season as they have more at-bats.
Look at the back of a baseball card to see the player's career statistics.
Suppose a baseball player had a hits in b at-bats. Explain how to find the baseball player's batting average.
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Exit Ticket
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