Alg2/Trig E: What does the solution of a system of quadratic-linear equations represent?

Alg2/Trig E:  
Review solving systems of quadratic-linear equations graphically. A parabola and line can intersect twice, once, or never. Use strategies of solving quadratics to solve the systems algebraically as well.

1. Assignment: Worksheet
2. Test next week!
   

Alg2/Trig E: How can we solve higher degree polynomial equations?

Alg2/Trig E:  
Let's turn higher degree polynomial equations into something familiar... Graph a cubic equation and notice how many times it crosses the x-axis. Since there are three roots, is there a way we can factor and use the Zero Property to solve for all the roots? Use substitution for higher degree polynomials, such as, 4 and 5.

Alg2/Trig E: What kind of quadratics could we encounter in rational or radical functions?

Alg2/Trig E:  
Think back to solving rational or radical equations. What if they involved quadratics after simplifying the expressions? We should check for extraneous solutions and use them as critical values when we represent our answers in symbolic form.

Alg2/Trig E: How do we graph & solve quadratic inequalities?

Alg2/Trig E:  
Graph a quadratic inequality on the coordinate plane (Remember to either use an open/closed circle, and a solid/dashed line). How is solving a quadratic inequality similar to solving an equation? Where is the solution set on the coordinate plane? (Along the x-axis.) Represent your solution sets in symbolic and graphical (number line) form.

1. Assignment: Worksheet
   

Math 2A: What is the slope of a line that passes through specific points?

Math 2A:  

Review graphing linear equations in standard form and after solving for y. Plot two points and draw a line; then find the slope of the line using arrows and reducing the fraction.

1.  Quiz on Thursday! 

Math 2A: How can we graph linear equations?

Math 2A:  

What is slope? What does a line with positive, negative, zero, or undefined slope look like? Graph linear equations in standard form by identifying the y-intercept (b) and the slope (m). The b-value tells you where to "begin on the y-axis," and the m-value tells you "how to move." Use arrows to decide whether positive or negative numbers are used.

1. Assignment: Worksheet 

Geometry: How can we prove right triangles?

Geometry:  

How many right angles are possible in a right triangle? Plot a triangle on the coordinate plane and prove that a right angle exists by finding the slopes of the two sides that make it. Be careful not to confuse length with steepness. How can a right triangle also be isosceles? 

1. Assignment: Worksheet
2. Test on Thursday!
   

Geometry: How can we prove isosceles & equiliateral triangles?

Geometry:  

What is the definition of isosceles and equilateral? Plot a triangle on the coordinate plane and use the Distance Formula or the Pythagorean Theorem to prove that you have at least two sides congruent. Careful, sometimes you can just count the length of each side. Write a conclusion to explain your work.

1. Assignment: Worksheet
2. Test on Thursday!