These 18 task cards are a great way to challenge your Algebra students as a review of concepts covered in class including simplifying radicals, using the product rule to simplify radicals, and using the quotient rule to simply radicals. These task cards will test your students’ proficiency in simplifying radical expressions.
Suggested use of task cards: Print one set of task cards. Pair students together and set up a rotation so that each pair knows who they will hand off their task card to. Give each pair a task card and each student should have his/her own recording sheet to show work and record their answers. Time the students (two to three minutes) and then have them switch the card by passing it to another pair of students in the rotation. With 18 task cards (unless you have a class of 36 or more), you’ll have task cards left over. I usually give the first group a task card from my pile of left-overs and then collect the last task card from the last group in the rotation so that the students don’t have to constantly get up from their seats. This will vary depending on your class size, seating arrangements, class configuration, etc.
You can also print a set per small group (of 3 or 4 students) and have them go through the task cards together. It’s completely up to you.
Answer Key that fits with the task card set to be stored with the rest of the cards are included as well as a cover page. Print answers to the back of the task card simply by printing double sided or copying the two pages double sided. Print in color OR black and white.
Objectives: Students will be able to
• Use the product rule for radicals
• Use the quotient rule for radicals
• Simplify radicals
Common Core Standards
• Expressions and Equations Work with radicals and integer exponents.
o CCSS.Math.Content.8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.
o CCSS.Math.Content.8.EE.A.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
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