Text and arrows are pointing to what I
did along the way, as requested
AIM: How can we solve a system of one linear and one
quadratic equation in two variables by identifying and
labeling intersection points in graphs (and checking)?
DO NOW: Graph the following linear function using the
slope and the y-intercept. (Hint: Is it in Slope-intercept
form?)
3y – 6= 2x
Vocabulary: Solution, Systems of equations,
intersection, linear function, parabola
HW: NY 755 #1-6
Animation
The next slide displays a picture of my co-teacher. She gets shot out of a canon
modeling a straight line, and the student, Joey (who is an avid skateboarder)
intercepts her in his quadratic path.
I uploaded the photo of the background and the canon, layering the canon in
front. The teacher’s picture is moving right with a pinwheel at the end, and the
student is following a curved path (arc down). Timing had to be adjusted so that
the two will collide.
Make a prediction. What will happen?
Purpose
Used to demonstrate how a linear /quadratic system solution set is found.
SKETCH a possible Quadratic linear system
that would model Ms. Cohen’s and Joey’s
paths.
WHAT IF MS.
Cohen’s
canon was
facing the
OTHER
direction?
WHAT if the canon were shooting
VERTICALLY from the bottom?
ONE, TWO or NO
SOLUTION??
GROUP A and B – partner up!
USE your quizzes to help guide you
GROUP A: Trishanna, Mohamed, Jailene, Sania,
Mario, Farhan, Mahfuza, Golchan, Rokhsana,
Jahema
GROUP B: Anjanie, Lizbeth, Steve, Sabrina, Samiha,
Rabia, Chandanie, Sonia, Doris, Delilah
COHEN: Peter, Yoselyn, Mycol, Bryan, Khairun, Pearl
MAGRANE: Joey, Armin, Jennifer, Tasmiya, Annalisa
GRAPHING LINEAR – QUADRATIC
SYSTEMS
STEP 1 – Use the slope intercept method to graph your linear equation
(y=mx + b)
STEP 2- Graph the parabola by finding the axis of symmetry, vertex and
making a table of values. x= ( -b/2a)
STEP 3- Where they intersect is your solution!!! (Just like the linear system)
Practice #3
Summary
In your notebook: What is the meaning of a
solution to a linear-quadratic system? What
does it look like?
How do I find it? USE SENTENCES!!
AIM: How can we solve a system of one________and one
________ equation in two variables by identifying and
labeling intersection points in graphs (and checking)?
DO NOW: Graph the following linear function using the slope and
the y-intercept. (Hint: Is it in Slope-intercept form?) 3y – 6= 2x
Vocabulary:
Solution, _________ of
equations,
intersection, linear
function, parabola
HW:
AIM: How can we solve a system of one________and one
________ equation in two variables by identifying and
labeling intersection points in graphs (and checking)?
DO NOW: Graph the following linear function using the slope and
the y-intercept.
3y – 6= 2x
Vocabulary:
Solution, _________ of
equations,
intersection, linear
function, parabola
HW:
Graphing QUADRATICS the axis of symmetry
STEP 1: Put the question in standard
form
y = ax2 + bx + c
STEP 2: Find the axis of symmetry
x=
- b
2a
STEP 3: Compose a table of
values with the axis of symmetry
in the middle of the table.
STEP 4: Graph the points and find circle the root(s).
STEP 1 – Use the slope intercept method to graph your linear
equation (y=mx + b)
STEP 2- Graph the parabola by finding the axis of symmetry,
vertex and making a table of values. x= ( -b/2a)
STEP 3- Where they intersect is your solution!!! (Just like the
linear system)