Description
What our Square Roots – Advanced Lesson lesson plan includes
Lesson Objectives and Overview: Square Roots – Advanced Lesson introduces students to perfect squares up to 144. Students should know already how to square a number before engaging in this lesson. They will learn that taking the square root of a number is the inverse of squaring a number. By the end of this lesson, students will be able to find the square root of at least the first 12 square numbers. This lesson is for students in 6th grade.
Classroom Procedure
Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand.
Options for Lesson
Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to expand it beyond whole number answers. You could also allow students to use calculators to determine the square root for numbers that are not perfect squares.
Teacher Notes
The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.
SQUARE ROOTS — ADVANCED LESSON LESSON PLAN CONTENT PAGES
Square Roots
The Square Roots – Advanced Lesson lesson plan includes two content pages. Squaring is when you raise a number to the second power (for example, 2² = 4 because 2 x 2 = 4). Taking the square root of a number is the inverse of squaring it. To take the square root, you need to find the factor that’s multiplied twice to make the number.
For example, let’s find the square root of 16. To do this, ask yourself “What number multiplied by itself equals 16?” Since 4 x 4 = 16, the square root of 16 is 4.
The symbol used when taking the square root is a radical. Radical signs look like check marks with a number or variable under it. The number or variable under the radical sign is the radicand.
Let’s take a look at an example that shows how to use the radical symbol: 2² = 2 x 2 = 4, so √4 = 2. Similarly, 5² = 5 x 5 = 25, so √25 = 5 and √100 = 10 because 10 x 10 = 100.
When taking the square root of a number, if your answer is a whole number then that means you have a perfect square.
Perfect Squares Chart
The lesson includes a chart that lists perfect squares from √1 to √144.
Food for the Brain: Negative Signs with Square Roots
If the radical has a negative sign on the outside, the negative stays with the answer. For example, –√81 = -9 and -√36 = -6.
Sometimes, taking the square root of a number does not give you a whole number. Before learning how to deal with those, it’s important to solidify your understanding of perfect squares. Once you learn the perfect squares, solving math problems becomes much faster and easier!
SQUARE ROOTS — ADVANCED LESSON LESSON PLAN WORKSHEETS
The Square Roots – Advanced Lesson lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.
DRAW THE SQUARE ACTIVITY
The activity splits into three parts. First, students will draw squares using the length and height values for six figures. Next, they must write the area for each square. Finally, they must describe how the lengths and area of the square relate to square roots. This will help them demonstrate their grasp of the material.
CIRCLE THE SQUARE PRACTICE WORKSHEET
The practice worksheet divides into two parts. For the first section, students must circle all the numbers among 35 options. These options go beyond 144, which will ensure students try to learn other square numbers. The second part requires that they find the square root of nine total numbers. Some of these numbers will be on the perfect squares chart. However, others, like the first section, are higher than 144. Students must decide how to find the squares of those higher numbers.
SQUARE ROOTS – ADVANCED LESSON HOMEWORK ASSIGNMENT
The homework assignment contains a chart with the 12 numbers of the prefect squares chart. In the second column, students must fill in the radicand. In the third column, they must show the equation for squaring the radicand to equal the square root number. Then they must prove through showing their work how the square root of 16 is 4.
Worksheet Answer Keys
This lesson plan includes answer keys for the activity worksheet, the practice worksheet, and the homework assignment. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.
