Compare and order Real Numbers by Vantashan https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u Compare and order real numbers using approximation. en-us 2024-09-02 01:32:56 UTC 2024-09-02 19:59:53 UTC hello@padlet.com https://media0.giphy.com/media/3o6Mb7m2Gr4xmZnjxu/giphy.gif Description of lesson vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097526921 In this lesson students will explore the fascinating world of real numbers, focusing on both rational and irrational numbers, and where these numbers are located on a number line.

]]> 2024-09-02 01:55:17 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097526921 Opener vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097530194 2024-09-02 01:57:26 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097530194 Lesson Standard vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097532990 8.NR.1

Solve problems involving irrational numbers and rational approximations of irrational numbers to explain realistic applications.

8.NR.1.1

Distinguish between rational and irrational numbers using decimal expansion. Convert a decimal expansion which repeats eventually into a rational number.

]]> 2024-09-02 01:58:56 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097532990 GaDOE Inspire vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097538286 2024-09-02 02:02:12 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097538286 Learning Objective vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097540148 Students will be able to:
• compare and order rational and irrational numbers.

]]> 2024-09-02 02:03:29 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097540148 Language Objective vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097540739 Describe ways to compare and order rational and irrational numbers.

]]> 2024-09-02 02:03:52 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097540739 Success Criteria part 1. vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097545260

  • Students can accurately compare a set of rational and irrational numbers, identifying which numbers are greater, lesser, or equal.

  • Students can correctly order a mixed set of rational and irrational numbers on a number line or in a list format.

  • Students demonstrate the ability to explain their reasoning using appropriate mathematical language and terminology.

    • ]]>     2024-09-02 02:06:50 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097545260     Language Success Criteria vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097546082

  • Students can describe at least two methods for comparing and ordering rational and irrational numbers, such as using number lines or decimal approximations.

  • Students effectively communicate their thought process during discussions, using vocabulary related to rational and irrational numbers.

  • Students can write a brief explanation or summary that outlines the key concepts of comparing and ordering real numbers, demonstrating an understanding of the topic.

    • ]]>     2024-09-02 02:07:26 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097546082     Irrational Number vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097557050 A type of real number that cannot be expressed as a simple fraction, meaning it cannot be written in the form abba​, where aa and bb are integers and b≠0b=0. Irrational numbers have decimal expansions that are non-repeating and non-terminating, which means they go on forever without repeating a specific pattern.


    Some common examples of irrational numbers include:

    • 2 (the square root of 2)

    • π (approximately 3.14, the ratio of the circumference of a circle to its diameter)

    • e (approximately 2.718, the base of the natural logarithm)


    ]]>     2024-09-02 02:14:13 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097557050     Perfect Square vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097564261 A number that can be expressed as the square of an integer. In other words when you multiply a whole number by itself, the result is a perfect square.


    Examples:

    • The perfect square of 16 is 4. 4x4 = 16

    • The perfect square of 9 is 3. 3x3 = 9

    • The perfect square of 25 is 5. 5x5 = 25


    The square root of a perfect square is always a whole number.

    ]]>     2024-09-02 02:17:59 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097564261     Square Root vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097573494 A square root of a number is a value that, when multiplied by itself, gives that original number.


    For example:

    • The square root of 9 is 3 because 3×3=9.

    • The square root of 16 is 4 because 4×4=16.

    • The square root of 25 is 5 because 5×5=25.


    ]]>     2024-09-02 02:23:01 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097573494     What do you need? vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097578117

  • Calculator

  • Workbook

  • Chromebook

  • Pencil

  • Ready to learn mindset

    • ]]>     2024-09-02 02:25:43 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097578117     Lesson Presentation vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097585293 2024-09-02 02:30:09 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097585293 Guided Practice vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097587389 2024-09-02 02:31:23 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097587389 Do now vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097595281

  • With your group: complete workbook page 24 #1-6.

  • On your own: complete pages 25-26 #7-10,13,15,17.

  • Enrichment: Using Canva create an infographic explaining how to compare and order real numbers on a number line. Detailed instructions are located in your google classroom.

    • ]]>     2024-09-02 02:35:49 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097595281     Exit Ticket vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097600620 When there is 7:00 minutes left on the work session timer, complete this exit ticket.

    ]]>     2024-09-02 02:38:49 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3097600620     Additional Help Videos vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098763695 2024-09-02 19:38:40 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098763695 Ordering Numbers from least to greatest. vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098764404 2024-09-02 19:39:35 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098764404 How do you put real numbers in order? vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098765694 2024-09-02 19:41:20 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098765694 How do you estimate the square root of a non-perfect square? vantashaneducator https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098766423 2024-09-02 19:42:35 UTC https://padlet.com/vantashaneducator/sqkpz7c6x6tssp1u/wish/3098766423