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

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.

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

Wednesday. September 4

Reason Abstractly and Quantitatively

Dividing Radicals

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?

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.

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?

Practice

Simplify each of the following:1. 2.

3. 4.

5. 6.

7. 8.

Check your answers

Simplify each of the following:1. 2.

3. 4.

5. 6.

7. 8.

Mixed Review & Practice

Simplify each of the following1. 2.

3. 4.

5. 6.

Check yourself

1. 2.

3. 4.

5. 6.

Thursday, September 5

Look or and make use of structure

Rationalizing More Complex Denominators

Multiply each of the following:1. 2.

3. 4.

5. 6.

Warm Up

1. 2.

3. 4.

5. 6.

What do the problems with integer answers have in common?

Check your answers

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

Simplify each of the following:1. 2.

3. 4.

5. 6.

Practice

1. 2.

3. 4.

5. 6.

Check your answers

Friday, September 6

Make sense of problems and persevere in solving them

Review & Quiz Day

Simplify each of the following

Warm up