tuesday, september 3 make sense of problems & persevere in solving them

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Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them Quiz 1 Feedback and Extra Practice

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Page 1: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Tuesday, September 3

Make Sense of Problems & Persevere in Solving Them

Quiz 1 Feedback and Extra Practice

Page 2: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Quiz Review

Work through any part of the quiz that you did not get completely correct to fix your errors. You may help each other with this.

Page 3: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Extra Practice Time!

Based on how you did on your quiz, decide which of the following topics you need more practice with:Conceptual QuestionsSimplifying & Multiplying RadicalsAdding & Subtracting RadicalsWorking with higher roots and variables

Page 4: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Wednesday. September 4

Reason Abstractly and Quantitatively

Dividing Radicals

Page 5: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Warm up

1. Simplify (a) and (b)

2. Make a guess about how to simplify(c) and (d)

3. How do you think dividing radicals is like multipying radicals?

Page 6: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Rules for Dividing Radicals

Just like for multiplication, radicals can be distributed over division.

A rational expression containing a radical is not considered to be fully simplified unless a) the denominator does not contain any

radicals, and b) the numerator and denominator are in lowest

terms.

Page 7: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Rationalizing Denominators

What happens when you multiply the numerator and denominator of a fraction by the same number?

What happens to a square root when you multiply it by itself?

Page 8: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Practice

Simplify each of the following:1. 2.

3. 4.

5. 6.

7. 8.

Page 9: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Check your answers

Simplify each of the following:1. 2.

3. 4.

5. 6.

7. 8.

Page 10: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Mixed Review & Practice

Simplify each of the following1. 2.

3. 4.

5. 6.

Page 11: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Check yourself

1. 2.

3. 4.

5. 6.

Page 12: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Thursday, September 5

Look or and make use of structure

Rationalizing More Complex Denominators

Page 13: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Multiply each of the following:1. 2.

3. 4.

5. 6.

Warm Up

Page 14: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

1. 2.

3. 4.

5. 6.

What do the problems with integer answers have in common?

Check your answers

Page 15: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

What needs to happen for a radical expression to be considered fully simplified?

How do you think we could simplify something like this?

Thinking Time

Page 16: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Simplify each of the following:1. 2.

3. 4.

5. 6.

Practice

Page 17: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

1. 2.

3. 4.

5. 6.

Check your answers

Page 18: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Friday, September 6

Make sense of problems and persevere in solving them

Review & Quiz Day

Page 19: Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them

Simplify each of the following

Warm up