2/26 Alg2: Chapter 2 review (sections 4-6)

2/26 Friday

Algebra 2

Afternoon Message

Good afternoon and happy Friday!!! :)

You have been working really hard this week to review for your final exam -- give yourselves some credit! We will be finishing our review today with Chapter 2, sections 4-6. Let's get to it!

Announcements:

I have office hours today.

All makeup work is due by TONIGHT.

I will be posting an EC assignment to boost your trimester 2 grade.

Final Exam is next week (Thursday/Friday).

Agenda

• Learning Target

• Finals check-in

• Fun Friday

• Overview of Final Exam

• Review of Chapter 2 (9 questions)

• Learning Target check-in

• Exit Ticket

Poll

Please rate your current state of understanding of the learning target.

I can apply my knowledge of quadratics and the complex numbers to solve problems.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there.

• 1 - I don't understand, I need some more help.

Poll

Which best describes your feelings about our final next week?

Poll

Which best describes your feelings about the rest of your finals next week?

Fun Friday!

Can you guess the movie by the emojis?

Open Ended

What is the movie?

Finding Nemo

Open Ended

What is the movie?

Home Alone

Open Ended

What is the movie?

Titanic

Open Ended

What is the movie?

Ratatouille

Open Ended

What is the movie?

Mean Girls

Open Ended

What is the movie? (Last one!)

Space Jam

Final Exam

• 35 content-related questions and 3 open-ended self-reflection responses

• Arithmetic Sequences/Series and Linear Systems (7)

• Quadratic Functions (17)

• Polynomial Functions (11)

• Self-reflection (3)

Let's get into our review questions!

There are only 9.

Multiple Choice

1. Solve the equation using the square root.

 $x^2=-81$  

•  $x=-9,\ 9$  

•  $x=-9$  

•  $x=9$  

•  $x=-9i,\ 9i$  

Multiple Choice

2. Add the complex numbers.

 $\left(5\ +\ 3i\right)+\left(-2-i\right)$  

•  $3+2i\$  

•  $7+4i$  

•  $8-2i$  

•  $6$  

Multiple Choice

3. Subtract the complex numbers.

 $\left(5\ +\ 3i\right)-\left(-2-i\right)$  

•  $3-4i$  
  

•  $7+4i$  
  

•  $8-2i$  

•  $6i$  

Multiple Choice

4. Multiply the complex numbers.

 $\left(5\ +\ 3i\right)\left(-2-i\right)$  

•  $3-4i$  
  

•  $7+4i$  
  

•  $-7-11i$  

•  $-10-14i$  

Multiple Choice

5. Identify the complex conjugate of the complex number. (Hint: Complex conjugates have the SAME real part and the OPPOSITE complex part). 

 $8-3i$  

•  $3-8i$  
  

•  $-8+3i$  
  

•  $8-3i$  

•  $8+3i$  

Multiple Choice

6. Solve the quadratic equation using square roots.

 $\left(x+1\right)^2=-49$  

•  $x=-1\pm7i$  
  

•  $x=1\pm7i$  
  

•  $x=1+7i$  

•  $x=1-7i$  

Multiple Choice

 7. Find the missing value to complete the square. $x^2+12x-13=0$ 

•  $12$  
  

•  $36$  
  

•  $6$  

•  $4$  

Multiple Choice

 8. Solve the equation by completing the square. $x^2+12x-13=0$ 

•  $x=-13,\ 1$  
  

•  $x=-13$  
  

•  $x=1$  

•  $x=12,\ -13$  

Multiple Choice

9. Solve for the zeros of the function using the quadratic formula. $f\left(x\right)=-3x^2+2x+1$  

•  $x=-\frac{3}{2},\ \frac{1}{2}$  

•  $x=-\frac{3}{2}$  

•  $x=\frac{1}{2}$  

•  $x=0,1$  

Poll

Please rate your current state of understanding of the learning target.

I can apply my knowledge of quadratics and the complex numbers to solve problems.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there.

• 1 - I don't understand, I need some more help.

Awesome work today! Move to Google Classroom and complete your exit ticket.

Have a great weekend :)