Square and Cube Root Salad

Before:

Bell Ringer:

1. Before the students enter the classroom, the teacher will open the document “Bell Ringer Squares and Cubes.” The document will be displayed on the interactive whiteboard.
2. The teacher will show the video from the website “Khan Academy”. The link is https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/alg-1-irrational-numbers/v/introduction-to-rational-and-irrational-numbers.
3. After the video, the teacher will discuss the answers to the bell ringer. The teacher will ask the question, “Explain why you chose rational or irrational?” The answers will vary, but they should be similar to “written as a fraction”.
4. The teacher will hand out the worksheet "Rational and Irrational Worksheet" from the attachments.
5. The teacher will use this opportunity for an informal assessment.

During:

1. The teacher will introduce the topic of cubes and cube root by showing a Rubik's Cube (https://www.rubiks.com/) to the class and discussing the way the blocks arrange a 3 by 3 by 3 cube. Therefore, the cube root would be 3.
2. The teacher will tell the students to work in groups of four to explore the idea of cubes with the small blocks. The students will make two cubes, 2 by 2 by 2 and 4 by 4 by 4. The students will count the blocks. The total will be 8 and 64. The teacher will let the groups try 2 by 3 by 3. The students will realize that the shape is not a cube, thus, no cube root. The teacher will monitor the groups as they work.
3. After the activity, the teacher will show the video from Khan Academy.
4. The website has some great material about equations with squares and cubes as well as roots. The website is https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/introduction-to-square-roots.
5. The teacher will navigate through the website. The teacher will stop at random places to do informal assessments.
6. The website has many opportunities to do interactive “guided practice” exercises. The teacher can call on different students to answer the problems.
7. At the conclusion of the video, the teacher can pass out the worksheet from the attachment section called "Equations with Roots".
8. The students will work independently to complete the worksheet. Students who require intervention could work in pairs with a peer-tutor and the manipulatives. The teacher will be able to monitor the students and provide one-on-one instruction. The teacher will use this opportunity for another informal assessment.
9. While students are finishing, the teacher will start the review of the answers. The teacher will answer questions from the class and listen to their comments.

After:

The teacher will display the document, “Exit Slip Radicals” on the interactive whiteboard. The students will complete the exit slip on their own paper. The students will turn in the exit slip as they leave the classroom.

If the accelerated students finish early, then the teacher will assign work from the website "Common Core Sheets”. The website is http://www.commoncoresheets.com/SortedByGrade.php?Sorted=8ee2. The teacher should have created the assignment in advance.

Before:

Bell Ringer:

1. Before the students enter the classroom, the teacher will open the document “Bell Ringer Squares and Cubes.” The document will be displayed on the interactive whiteboard.
2. The teacher will show the video from the website “Khan Academy”. The link is https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/alg-1-irrational-numbers/v/introduction-to-rational-and-irrational-numbers.
3. After the video, the teacher will discuss the answers to the bell ringer. The teacher will ask the question, “Explain why you chose rational or irrational?” The answers will vary, but they should be similar to “written as a fraction”.
4. The teacher will hand out the worksheet "Rational and Irrational Worksheet" from the attachments.
5. The teacher will use this opportunity for an informal assessment.

During:

1. The teacher will introduce the topic of cubes and cube root by showing a Rubik's Cube (https://www.rubiks.com/) to the class and discussing the way the blocks arrange a 3 by 3 by 3 cube. Therefore, the cube root would be 3.
2. The teacher will tell the students to work in groups of four to explore the idea of cubes with the small blocks. The students will make two cubes, 2 by 2 by 2 and 4 by 4 by 4. The students will count the blocks. The total will be 8 and 64. The teacher will let the groups try 2 by 3 by 3. The students will realize that the shape is not a cube, thus, no cube root. The teacher will monitor the groups as they work.
3. After the activity, the teacher will show the video from Khan Academy.
4. The website has some great material about equations with squares and cubes as well as roots. The website is https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/introduction-to-square-roots.
5. The teacher will navigate through the website. The teacher will stop at random places to do informal assessments.
6. The website has many opportunities to do interactive “guided practice” exercises. The teacher can call on different students to answer the problems.
7. At the conclusion of the video, the teacher can pass out the worksheet from the attachment section called "Equations with Roots".
8. The students will work independently to complete the worksheet. Students who require intervention could work in pairs with a peer-tutor and the manipulatives. The teacher will be able to monitor the students and provide one-on-one instruction. The teacher will use this opportunity for another informal assessment.
9. While students are finishing, the teacher will start the review of the answers. The teacher will answer questions from the class and listen to their comments.

After:

The teacher will display the document, “Exit Slip Radicals” on the interactive whiteboard. The students will complete the exit slip on their own paper. The students will turn in the exit slip as they leave the classroom.

If the accelerated students finish early, then the teacher will assign work from the website "Common Core Sheets”. The website is http://www.commoncoresheets.com/SortedByGrade.php?Sorted=8ee2. The teacher should have created the assignment in advance.