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Task Cards: Multiplying Powers with Two Variables
Task Cards: Multiplying Powers with Two Variables
Task Cards: Multiplying Powers with Two Variables
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Description

This activity can be used as a quick formative assessment where students apply the Product Rule of Exponents.

With your purchase, you will find 40 cards. Each card shows expressions using two variables with positive exponents on one side. On the other side, the student can see the answer to check accuracy. The students will have to simplify some of these expressions and use other rules of exponents.

The cards can be used as task cards or to do the trading card activity with the instructions included in English and Spanish. 

Use the document as task cards or as "Trading Cards." 

Steps for trading cards activity:

  1. Each student receives one card.
  2. Create a space for students to stand up and be able to walk around the classroom. Ask students to mingle and find a partner.
  3. Ask students to number themselves #1 and #2. Student #1 starts by showing side A to his/her partner. Student #2 answers by applying the rule of exponents. If necessary, student #1 offers clues or hints and positive feedback.
  4. Student #2 repeats the exercise by showing his/her card, and now student #1 answers.
  5. The two students trade cards and go in search of new partners.

This process continues until the time is up

The activity can be used as a first approach to the product rule, however, we recommend using the activity Multiplying Powers (One Variable) as a pre-requisite.

This activity is part of the Units Exponents

  1. Product of Powers Property (Multiplying Powers One-Variable)
  2. Product of Powers Property (Multiplying Powers Two-Variables)
  3. Power of a Power Property
  4. Power of a Product Property
  5. Zero and Negative Exponents
  6. The Quotient of Power Property
  7. Power of a Quotient Property
  8. Scientific Notation.
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Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Task Cards: Multiplying Powers with Two Variables

Laracos
35 Followers
$3.50

Highlights

Grades icon
Grades
8th - 12th
Standards icon
Standards
Answer Key
Included
Teaching Duration
45 minutes

Save even more with bundles

320 exercises all levels of difficulty for all Rules of Exponents!This bundle includes activities for the following topics about exponents:Multiplication Property of ExponentsProduct of Powers Property (one variable)Product of Powers Property (two variables)Power of a Product PropertyPowers with Zer
Price $19.60Original Price $28.00Save $8.40
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Description

This activity can be used as a quick formative assessment where students apply the Product Rule of Exponents.

With your purchase, you will find 40 cards. Each card shows expressions using two variables with positive exponents on one side. On the other side, the student can see the answer to check accuracy. The students will have to simplify some of these expressions and use other rules of exponents.

The cards can be used as task cards or to do the trading card activity with the instructions included in English and Spanish. 

Use the document as task cards or as "Trading Cards." 

Steps for trading cards activity:

  1. Each student receives one card.
  2. Create a space for students to stand up and be able to walk around the classroom. Ask students to mingle and find a partner.
  3. Ask students to number themselves #1 and #2. Student #1 starts by showing side A to his/her partner. Student #2 answers by applying the rule of exponents. If necessary, student #1 offers clues or hints and positive feedback.
  4. Student #2 repeats the exercise by showing his/her card, and now student #1 answers.
  5. The two students trade cards and go in search of new partners.

This process continues until the time is up

The activity can be used as a first approach to the product rule, however, we recommend using the activity Multiplying Powers (One Variable) as a pre-requisite.

This activity is part of the Units Exponents

  1. Product of Powers Property (Multiplying Powers One-Variable)
  2. Product of Powers Property (Multiplying Powers Two-Variables)
  3. Power of a Power Property
  4. Power of a Product Property
  5. Zero and Negative Exponents
  6. The Quotient of Power Property
  7. Power of a Quotient Property
  8. Scientific Notation.
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × (3⁻⁵) = (3⁻³) = 1/3³ = 1/27.
Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15 to the 𝘵 power can be rewritten as ((1.15 to the 1/12 power) to the 12𝘵 power) is approximately equal to (1.012 to the 12𝘵 power) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Look for and make use of structure. Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. Later, students will see 7 × 8 equals the well remembered 7 × 5 + 7 × 3, in preparation for learning about the distributive property. In the expression 𝑥² + 9𝑥 + 14, older students can see the 14 as 2 × 7 and the 9 as 2 + 7. They recognize the significance of an existing line in a geometric figure and can use the strategy of drawing an auxiliary line for solving problems. They also can step back for an overview and shift perspective. They can see complicated things, such as some algebraic expressions, as single objects or as being composed of several objects. For example, they can see 5 – 3(𝑥 – 𝑦)² as 5 minus a positive number times a square and use that to realize that its value cannot be more than 5 for any real numbers 𝑥 and 𝑦.
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