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. Course: 8th grade Algebra I

Grade Level: 8

Subject: Mathematics

II. Topic: 9.1 Quadratic Functions

III.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, procedures, manipulatives, guided/independent practice, modeling, Learning 360, etc.

Outline Content Below:

LINEAR FUNCTIONSQUADRATIC FUNCTIONS

ParentParent

f(x) = xf(x) = x2

Standard formStandard Form

Ax + By = Cf(x) = Ax2 + Bx + C

Type of graphType of graph

Lineparabola

y-intercepty-intercept

C/BC

DegreeDegree

12

Equation for axis of symmetry

x = - B / (2A)

TO GRAPH A PARABOLA:

1)You could use a H-chart

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 x-coordinate 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.