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Introduction - Overview of square roots and surds
Introduction - Overview of square roots and surds
Let’s begin by introducing you to rational and irrational numbers. Rational numbers are numbers that can be written in the form
Irrational numbers cannot be written in that way.
Activity 1 - Square roots
Activity 1 - Square roots
Let's look at the concept of irrational numbers, which are also known as surds. Watch the two videos below to view an explanation of how surds come about and why we need them.
Task 1 - What is a square Root?
Task 1 - What is a square Root?
Watch the video, Introduction to Square Roots.
In your exercise book or folder, write in your own word a definition for a square number and a square root.
Introduction to Square Roots
Duration: 4:13
Task 2 - Practice with Geogebra
Task 2 - Practice with Geogebra
Practice your squares and square root calculations using the Geogebra applet.
Open the applet in a new tab by clicking on the image.
Try as many times as you like until you feel comfortable with the process
Activity 2 - Applying your understanding
Activity 2 - Applying your understanding
Task 1
Task 1
Visit the Square Pairs Game page on Transum.org.
Click on the image link to open the activity in a new tab.
Two numbers next to each other must add up to a square number
You don't need 2 players. You can play against yourself.
Task 2
Task 2
Visit the Square and Even page on Transum.org.
Click on the image link to open the activity in a new tab.
Create square numbers across even numbers down
Activity 3 - Rational and irrational numbers
Activity 3 - Rational and irrational numbers
Task 1 - What is a surd?
Task 1 - What is a surd?
Watch the video, What are Surds, and why are they special?
Write an example and an explanation in your own words for:
What is a surd?
What is a rational number?
What is an irrational number?
What are Surds, and why are they special?
Duration: 10:16
Task 2
Task 2
Visit the Estimate Powers and Roots page on Transum.org.
Click on the image link to open the activity in a new tab.
Estimate which whole number the power or root is closest to.
Activity 4 - Surds
Activity 4 - Surds
Visit the Rational and Irrational Roots page on openmiddle.com.
Click on the image link to open the activity in a new tab.
Use the digits 0 to 9 only once to make all the numbers required.
Handing in your work
Handing in your work
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.
Student reflection
Student reflection
Let us know how you feel about this lesson.
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