Graphing/Characteristics of Quadratics Quiz

Teacher : Megan Paul

Course/ Subject: Algebra 1 Support

Date of Instruction:  February 7^th, 2023

Opening (I Do)

An engaging process for lesson introduction that is specifically planned to encourage equitable and purposeful student participation. Describe the instructional process that will be used to introduce the lesson.

TKES 1, 2, 3,4,5, 8,10

Standard/s:

MGSE9-12.F.IF.4, F.IF.7, & F.BF.3 Algebra 1 Standards – Identifying Characteristics & Graphing Quadratic Functions; Transforming Quadratic Functions

Learning Target:

·         I will identify quadratic functions and their characteristics.

·         I will calculator the axis of symmetry and vertex from the standard form of a quadratic function.

·         I will identify the direction of opening given a quadratic function.

·         I will identify the axis of symmetry and vertex from the vertex form of a quadratic function. 

·         I will graph quadratic functions.

·         I will create and explain quadratic transformations.      

Success Criteria:

·         I can identify a quadratic function.

o    Graph – parabola or “u”-shape

o    Equations – power of “2”

§  Standard form

§  Vertex form

§  Factored form

§  I can identify the A, B, and C value of a quadratic equation.

·         I can identify a quadratic function.

o    Graph – parabola or “u”-shape

o    Equations – power of “2”

§  Standard form

§  Vertex form

§  Factored form

§  I can identify the A, B, and C value of a quadratic equation.

·         I can define the following quadratic characteristics:

o    Domain, range, x-intercept, y-intercept, zero, maximum, minimum, direction of opening, vertex, axis of symmetry

·         I can identify and label the following quadratic characteristics given a graph:

o    Domain, range, x-intercept, y-intercept, zero, maximum, minimum, direction of opening, vertex, axis of symmetry

·         I can identify the standard form of a quadratic function.

·         I can identify the vertex form of a quadratic function.

·         I can identify the direction of opening given a quadratic function based on the value of “A” (if a > 0 it faces up, if a < 0 it faces down).  

·         I can graph a quadratic in standard form.

o    Axis of symmetry formula

o    Substitute the x-value (input) to solve for the y-value (output)

o    Direction of opening (based on the value of a)

·         I can graph a quadratic in vertex form.

o    Axis of symmetry

o    Vertex

o    Direction of opening (based on the value of a)

·         I can use the table button in my calculator to graph a quadratic function.

·         I can identify the following transformation given a quadratic equation in vertex form:

o    Vertical translation (shift up and down), horizontal translation (shift right and left), reflection over the x-axis, vertical compression and stretch

·         I can remember and understand the add to y go high, add to x go left mnemonic. 

·         I can write the given transformation for a quadratic equation in vertex form: 

o    Vertical translation (shift up and down), horizontal translation (shift right and left), reflection over the x-axis, vertical compression and stretch

Introduction/Connection: 

Pirate Prep

Review definitions of characteristics, transformations, quadratic forms, and calculator steps.

DIRECT INSTRUCTION:

None.

Work Period  (We Do, You Do)

Students learning by doing/demonstrating learning expectations.  Describe the instructional process that will be used to engage the students in the work period.

TKES 1, 2, 3, 4, 5, 7. 8,10

GUIDED PRACTICE: 

None. 

INDEPENDENT/COLLABORATIVE PRACTICE/DIFFERENTIATION:

None. 

Closing  (We Check)

Describe the instructional process that will be used to close the lesson and check for student understanding .

TKES : 1,2,3, 4,5,6,7,8

SUMMARIZE/CHECK FOR UNDERSTANDING:

Graphing/Characteristics of Quadratic Quiz 

Assignments/Homework:

·         Unit 3 Summative Test Friday, February 10^th