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Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet • Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

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Page 1: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Math 1 10/17/11

• Pick up a Calculator and a New Warm-up Sheet

• Pick up a New Packet

• Warm-upList the first 10 perfect squares

Ex: 12 = 122 = 4etc…

Page 2: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Page 2

Unit Essential Question: How do you simplify and perform basic mathematical operations with radical expressions, polynomials, and rational expressions?

Key Learning: Basic algebra skills along with an understanding of how to work with radicals, polynomials, and rational expressions is necessary for working with and solving more advanced math problems encountered in the real world.

Page 3: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Concept:Operations with

Radicals

Lesson Essential Questions:

1 – How do you simplify and perform operations with expressions involving square roots?

Vocabulary: Radical Radicand Radical expression Rationalize the denominator

Page 4: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Notes: Simplifying Square RootsVocabularyRadical symbol

Radicand

Perfect Square - a number that is a product of some integer with itself

Page 5: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Notes: Simplifying Square RootsSteps to Simplifying Square Roots

1 – Find the largest perfect square that will divide into the radicand

2 – Rewrite the radicand as the product of the perfect square

3 – “Root” the perfect square and “boot” it out

4 – Leave the other number under the radical

Page 6: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Examples

16 45 32

Page 7: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

Examples

183 200 163 502

Page 8: Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = 1 2 2 = 4 etc…

AssignmentFinish page 10 – Simplify the square roots