Quadratics

Hi there 2nd/6th period Algebra and Geometry students. If you are reading this it means that you finished your exponents and factoring summative. I will grade this summative over the next weekend and it will be the first summative for the 3rd 6-weeks.

Now we need to start the final section that will complete the 4th 6-weeks of Algebra: Quadratics. These are the type of graphs that look like a "U." Watch the following videos in order and take your own notes. I have included questions that you should answer as part of your notes for some videos you will watch.

Video #1: Intro to Quadratics

http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/exploring-quadratic-graphs/

Information to inlcude in your notes:

1. What is a parabola, what shape does it make?
2. What exponent will always be with the x variable in a quadratic equation?
3. What is symmetry?
4. What does the line of symmetry do?
5. What is the parent function of a quadratic equation?

Video #2:
http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/exploring-quadratic-graphs-problem-2/

Video #3:
http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/exploring-quadratic-graphs-problem-3/

Video #4: Quadratic equations shifting rules

http://www.brightstorm.com/math/algebra/quadratic-equations-and-functions/vertical-and-horizontal-shifts-of-quadratic-graphs/

As you watch this video following along on your own calculator. You might need to pause the video to take notes or while you work the calculator. Tip: draw pictures in your notes to help you later.

Information to include in your notes:

1. How can you find the vertex using a table? What do you have to look for?
2. How does adding 2 to your parent function of y = x^2 change it? What about subtracting 3?
3. How does adding or substracting a number with x inside the parenthesis affect the graph?
a. y = (x - 2)^2 will move the quadratic graph to the _________________.
b. y = (x + 3)^2 will move the quadratic graph to the _________________.
c. What two directions does the vertex move in the two quadractic equations in #3?
4. If the number is inside the parenthesis it represents a _______________ shift.
If the number is outside the parenthesis it represents a _______________shift.

Factoring

Watch these videos to introduce factoring. Take notes as you watch the videos in the order they are posted.

Video #1: introduction to factoring

http://www.brightstorm.com/math/algebra/factoring-2/greatest-common-factors/

Video #2: example

http://www.brightstorm.com/math/algebra/factoring-2/greatest-common-factors-problem-2/

Video #3: when "a" equals 1

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-equals-1/

Video #4: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-equals-1-problem-1/

Video #5: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-equals-1-problem-2/

Video #6: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-equals-1-problem-3/

Video #7: when "a" does not equal 1

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-is-not-1/

Video #8: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-is-not-1-problem-1/

Video #9: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-is-not-1-problem-2/

Video #10: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-is-not-1-problem-3/

Video #11: example

http://www.brightstorm.com/math/algebra/factoring-2/factoring-trinomials-a-is-not-1-problem-4/

Proportions, patterns and writing expressions

As you watch the following videos that were produced by Ms. Tennyson, Algebra 1 teacher on the first floor, copy all the notes on the problems she covers. This will be an introduction to proportions, finding patterns, and writing expressions that show this pattern.


Video #1: proportions

http://screenr.com/9wOs

Video #2: proportions

http://screenr.com/RIOs

Video #3: patterns

http://screenr.com/t80s

Video #4: patterns in tables

http://screenr.com/iA0s

Video #5: patterns and expressions

http://screenr.com/l70s

Video #6: geometric patterns

http://screenr.com/i80s

Solving equations: multi step and variables on both sides

After you TEKS check today you are going to continue solving equations, but now you will practice solving multi step equations and solving equations with the variable on both sides of the equal side. Click the links below to watch videos where multi step equations and equations with variables on both sides are being solved. Follow along and take notes on the accompanying sheet as they solve the problems.

Multi-step equations:

Problem #1:
http://www.brightstorm.com/math/algebra/solving-equations/solving-multi-step-equations-problem-1/

Problem #2:
http://www.brightstorm.com/math/algebra/solving-equations/solving-multi-step-equations-problem-2/

Problem #3:
http://www.brightstorm.com/math/algebra/solving-equations/solving-multi-step-equations-problem-3/

Variable on both sides of the equation:

Problem #1:
http://www.brightstorm.com/math/algebra/solving-equations/solving-equations-with-a-variable-on-both-sides-problem-1/

Problem #2:
http://www.brightstorm.com/math/algebra/solving-equations/solving-equations-with-a-variable-on-both-sides-problem-2/

Problem #3:
http://www.brightstorm.com/math/algebra/solving-equations/solving-equations-with-a-variable-on-both-sides-problem-3/

Problem #4:
http://www.brightstorm.com/math/algebra/solving-equations/solving-equations-with-a-variable-on-both-sides-problem-4/