Say It with Decimals: IM 7.4.5
1. Lesson 7.4.5
1. IM 7.4.5 Lesson: Say It with Decimals
2. Practice 7.4.5
1. IM 7.4.5 Practice: Say It with Decimals

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Say It with Decimals: IM 7.4.5

IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 19, 2020

[url=https://im.kendallhunt.com/MS/teachers/2/4/5/preparation.html]“Say It with Decimals”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].

Lesson 7.4.5
1. IM 7.4.5 Lesson: Say It with Decimals
Practice 7.4.5
1. IM 7.4.5 Practice: Say It with Decimals

1.

Lesson 7.4.5

1. IM 7.4.5 Lesson: Say It with Decimals

1.1.

IM 7.4.5 Lesson: Say It with Decimals

A calculator gives the following decimal representations for some unit fractions:

[br][table][tr][td][math]\frac{1}{2}=0.5[/math][/td][td][/td][td][math]\frac{1}{7}=0.142857143[/math][/td][/tr][tr][td][math]\frac{1}{3}=0.3333333[/math][/td][td][/td][td][math]\frac{1}{8}=0.125[/math][/td][/tr][tr][td][math]\frac{1}{4}=0.25[/math][/td][td][/td][td][math]\frac{1}{9}=0.1111111[/math][/td][/tr][tr][td][math]\frac{1}{5}=0.2[/math][/td][td][/td][td][math]\frac{1}{10}=0.1[/math][/td][/tr][tr][td][math]\frac{1}{6}=0.166[/math][/td][td][/td][td][math]\frac{1}{11}=0.5[/math][/td][/tr][/table][br]What do you notice? What do you wonder?

Use [b]long division [/b]to express this fraction as a decimal.[br][br][math]\frac{9}{25}[/math]

Use [b]long division [/b]to express this fraction as a decimal.[br][br][math]\frac{11}{30}[/math]

Use [b]long division [/b]to express this fraction as a decimal.[br][br][math]\frac{4}{11}[/math]

What is similar about your answers to the previous 3 questions? What is different?

Use the decimal representations from your answers above to decide which of these fractions has the greatest value. Explain your reasoning.

One common approximation for [math]\pi[/math] is [math]\frac{22}{7}[/math]. Express this fraction as a decimal. How does this approximation compare to 3.14?

Match each diagram

Draw a diagram for one of the unmatched equations.

Cards have proportional relationships represented 2 different ways: as descriptions and equations. Match a description with an equation.

Use the following directions for the next activity:[br][br]Take turns with a partner to match a description with an equation.[br][list=1][*]For each match you find, explain to your partner how you know it’s a match.[/*][*]For each match your partner finds, listen carefully to their explanation, and if you disagree, explain your thinking.[/*][*]When you have agreed on all of the matches, check your answers with the answer key. If there are any errors, discuss why and revise your matches.[/*][/list]

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Say It with Decimals: IM 7.4.5

Table of Contents

1.

Lesson 7.4.5

1.1.

IM 7.4.5 Lesson: Say It with Decimals

A calculator gives the following decimal representations for some unit fractions:

Match each diagram

Draw a diagram for one of the unmatched equations.

Cards have proportional relationships represented 2 different ways: as descriptions and equations. Match a description with an equation.

2.

Practice 7.4.5

2.1.

IM 7.4.5 Practice: Say It with Decimals

Draw a diagram for one of the unmatched equations.

A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats in 10 seconds.

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