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Approximating Square Roots to the Nearest Tenth with Number Lines Stations

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Are you looking for a way to practice approximating square roots to the nearest tenth? Try these stations that use square root number lines that help students to visualize the approximation.

................................................................................................................................

CONTENTS:

• 20 Stations – Full Page

• Stations Answer Keys

• Student Worksheet Options – with or without number lines.

• Number System Standard Posters

................................................................................................................................

IDEAS FOR USING THE APPROXIMATING SQUARE ROOTS TO THE NEAREST TENTH STATIONS:

• Use as a 20-station carousel activity.

• Use a card (or a few) for a warm-up or ticket out the door.

• Assign some cards for homework.

................................................................................................................................

HOW CAN YOU USE THIS RESOURCE?

• Cut out and laminate stations so you can use them every class period and every year!

• I typically have students work in partners, but BOTH of them have to fill out the student information sheet, showing work. Students could also work individually. Working with more than one person gets too crowded, and some students skate by without participating at all.

• Each group will start at a station. They will be given a certain amount of time to complete each task. At the end of the time, they will switch to the next station. Example: If a student starts at station 1, they will go to station 2. If they are at station 20, they will go to station 1.

• There should never be more than two people at a station (unless you have more than 40 students…).

• Encourage (or require) students to write down EVERY problem so that if they run out of time on one station, they can finish earlier problems at another station.

• Give students a specific time to complete each task. (1-2 min) Use a timer that goes off to help students know when to switch stations. This way, when the timer goes off, students will just get up and move without direction. Determine the amount of time based on the skill set of each group. I give some classes more time than others if needed. If I start with 2 minutes and all of the students are finishing quickly, I will decrease the time as we go. Usually 2 minutes is too much!

• I use this resource every year in the middle school math classroom. It can take up to a whole class period depending how much time is given to the students per station.

................................................................................................................................

ASSESSMENT/GRADING

• I observe the students during the activity and offer help if needed. After the activity, I collect their worksheet. This activity can be graded on accuracy or for effort or completion. If grading for effort/completion, make sure that the students show work and attempt all questions!

................................................................................................................................

COMMON CORE STANDARDS: 8TH Grade Number System

• Know that there are numbers that are not rational, and approximate them by rational numbers.

CCSS.MATH.CONTENT.8.NS.A.1

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

CCSS.MATH.CONTENT.8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

................................................................................................................................

** Check Out Some Related Activities: **

• Approximating Square Roots to the Nearest Whole Number – Two Matching Puzzles – 8.NS.A.2

• CCSS 8.NS.A.1 and 8.NS.A.2 Irrational and Rational Number Stations

• Squares and square Roots – Two Triangle Matching Puzzles

................................................................................................................................

** Check out some station activities: **

• Area of Polygons (CCSS 6.G.1)

• Integer Operations

• Slope of a Line Middle School Math Stations

................................................................................................................................

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................................................................................................................................

© Amy Harrison, 2015. All rights reserved. Purchase of this product grants the purchaser the right to reproduce pages for classroom use only. If you are not the original purchaser, please download the item from my store before making copies. Copying, editing, selling, redistributing, or posting any part of this product on the internet is strictly forbidden. Violations are subject to the penalties of the Digital Millennium Copyright Act.

................................................................................................................................

Are you looking for a way to practice approximating square roots to the nearest tenth? Try these stations that use square root number lines that help students to visualize the approximation.

................................................................................................................................

CONTENTS:

• 20 Stations – Full Page

• Stations Answer Keys

• Student Worksheet Options – with or without number lines.

• Number System Standard Posters

................................................................................................................................

IDEAS FOR USING THE APPROXIMATING SQUARE ROOTS TO THE NEAREST TENTH STATIONS:

• Use as a 20-station carousel activity.

• Use a card (or a few) for a warm-up or ticket out the door.

• Assign some cards for homework.

................................................................................................................................

HOW CAN YOU USE THIS RESOURCE?

• Cut out and laminate stations so you can use them every class period and every year!

• I typically have students work in partners, but BOTH of them have to fill out the student information sheet, showing work. Students could also work individually. Working with more than one person gets too crowded, and some students skate by without participating at all.

• Each group will start at a station. They will be given a certain amount of time to complete each task. At the end of the time, they will switch to the next station. Example: If a student starts at station 1, they will go to station 2. If they are at station 20, they will go to station 1.

• There should never be more than two people at a station (unless you have more than 40 students…).

• Encourage (or require) students to write down EVERY problem so that if they run out of time on one station, they can finish earlier problems at another station.

• Give students a specific time to complete each task. (1-2 min) Use a timer that goes off to help students know when to switch stations. This way, when the timer goes off, students will just get up and move without direction. Determine the amount of time based on the skill set of each group. I give some classes more time than others if needed. If I start with 2 minutes and all of the students are finishing quickly, I will decrease the time as we go. Usually 2 minutes is too much!

• I use this resource every year in the middle school math classroom. It can take up to a whole class period depending how much time is given to the students per station.

................................................................................................................................

ASSESSMENT/GRADING

• I observe the students during the activity and offer help if needed. After the activity, I collect their worksheet. This activity can be graded on accuracy or for effort or completion. If grading for effort/completion, make sure that the students show work and attempt all questions!

................................................................................................................................

COMMON CORE STANDARDS: 8TH Grade Number System

• Know that there are numbers that are not rational, and approximate them by rational numbers.

CCSS.MATH.CONTENT.8.NS.A.1

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

CCSS.MATH.CONTENT.8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

................................................................................................................................

• Approximating Square Roots to the Nearest Whole Number – Two Matching Puzzles – 8.NS.A.2

• CCSS 8.NS.A.1 and 8.NS.A.2 Irrational and Rational Number Stations

• Squares and square Roots – Two Triangle Matching Puzzles

................................................................................................................................

• Area of Polygons (CCSS 6.G.1)

• Integer Operations

• Slope of a Line Middle School Math Stations

................................................................................................................................

• Click the green star next to my picture to become my newest follower.

• Go under “My TPT”, and Click on “My Purchases”. Then, click the provide feedback button next to your purchase. Every time you leave feedback on a purchase, TPT gives you credits that you can use to save money on future purchases. I value your feedback as it helps me determine what types of new products I should create for you and other buyers.

................................................................................................................................

© Amy Harrison, 2015. All rights reserved. Purchase of this product grants the purchaser the right to reproduce pages for classroom use only. If you are not the original purchaser, please download the item from my store before making copies. Copying, editing, selling, redistributing, or posting any part of this product on the internet is strictly forbidden. Violations are subject to the penalties of the Digital Millennium Copyright Act.

Total Pages

76 pages

Answer Key

Included

Teaching Duration

50 minutes

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