Lisa Huddleston’s Lesson Plans for 4th period Algebra I on Thursday, 03-22-2012, with
19 students (1 with IEP, 10 with GSSPs, and 4 with GT referrals)
PRINT OUT ROSTER WITH PICTURES!!!!!!!!!!!!!!!!!!!!!
I.
II.
III.
Course: 8th grade Algebra I
Grade Level: 8
Subject: Mathematics
Topic: 9.1 Quadratic Functions
KCAS/CCSSI standard
F.IF.7 Graph functions and show key features of the graph by hand
a) graph quadratic functions and show intercepts, maxima, and minima
IV.
Book: Algebra I
Materials and Equipment: None
V.
INSTRUCTIONAL SET
Mood: Fun and conducive to learning
* Get student’s attention
How do you stay equidistantly away from scary creatures?
* Review previous work
Definitions of
Minimum
Maximum
Symmetry
Variable
Term
Coefficient
Constant
Linear function
Domain
Range
y-intercept
* Introduction (attention-getter):
Most real life problems are modeled through quadratic functions
* Identify topic: Graphing quadratic functions
* Rationale (Real World applications): See above
* State Targets: I can…
1) Define
a) Degree of an expression
b) Leading coefficient
c) Non-linear function
d) Quadratic function
e) Standard form of a quadratic equation
f) Parabola
g) Axis of symmetry
2) State
a) A synonym for f(x)
b) A synonym for quadratic equation
c) if vertex of a parabola is a maximum of minimum from graph and equation.
d) Domain and range from a graph of a quadratic
3) find
a) degree of an expression
b) the equation of the axis of symmetry from a graph of a parabola or quadratic
equation.
c) The vertex of a parabola from it’s graph or equation.
d) y-intercept from graph or equation of a quadratic
4) Graph a quadratic function from its equation
* Common base of knowledge: Graphing linear equations, common sense, etc.
VI.
BODY
Use questioning, demonstrations, definitions, activities,
manipulatives, guided/independent practice, modeling, Learning 360, etc.
Outline Content Below:
LINEAR FUNCTIONS
Parent
f(x) = x
QUADRATIC FUNCTIONS
Parent
f(x) = x2
Standard form
Ax + By = C
Standard Form
f(x) = Ax2 + Bx + C
Type of graph
Line
Type of graph
parabola
y-intercept
C/B
y-intercept
C
Degree
Degree
1
2
Equation for axis of symmetry
x = - B / (2A)
TO GRAPH A PARABOLA:
1) You could use a H-chart
procedures,
2) You could use some tricks to get a quick sketch
1st: Get equation in standard form. Locate leading coefficient. If it’s
positive, parabola opens upward and vertex is a minimum. If leading
coefficient is negative, parabola opens downward and vertex is a
maximum.
2nd: Find the equation of the axis of symmetry. – B/(2A) is the xcoordinate of the vertex.
3rd: Find coordinates of vertex. Plug the x-coord of vertex from above
into equation and solve for y. Remember that y is the same as f(x). Make
your ordered pair with the 2 coordinates (x,y).
4th: Find y-intercept. It is the constant term or C.
5th: Put point on graph at vertex and y-intercept.
6th: Use symmetry to graph
Turn to page 531 in your Algebra I textbook
We will work #s 2, 6, 8, 10, 12, 14, 18, 20
VII. CLOSURE
* Measure Objectives: Have kids do probs., state defns., state steps, etc.
Have several students share their work on the board/o-head
Walk around room as they work and check their solutions
Thumbs Up/Down to check for target attainment.
The answer is quadratic function. What are the questions?
* Give positive reinforcement
* Relate back to instructional set: You are now safe from scary creatures
* Summarize Content: Begin independent practice P. 531 # 1-19 odd
* If time: Let begin assignment 9.1 #1-19 odd
VIII. Assignment: Write it on the board.
Study for quiz Friday
Remediation: See me and OZone.
Enrichment: Khan Academy, iTunesU, etc.