Unit 3: Developing a Family of Functions

Stage 3 – Learning Plan
DIFFERENTIATION (I-3) There are several ways to individualize instruction for your students
How will I scaffold and/or accelerate learning? For whom? How will I group my students?
SCAFFOLD:
ACCELERATE:
GROUP: (pre-teaching or re-teaching)
Learning Activities: (These can be attached 1 week at a time.)

Learning Activities:

Day 1:
9/17/14– 9/18/14 / 2.1Represent Relations and Functions & Begin Parent Functions
Objective: SWBAT identify the mathematical domains and ranges of functions.
SWBAT determine if a relation is a function.
SBBAT identify and sketch graphs of parent functions
TEKS ALGII.1A, ALGII.4A
Warm Up: Evaluate expressions
Intro to New Material: Notes: Section 2.1. Discuss multi representations of a relation (table, graph, mapping, and ordered pairs). Demonstrate how to figure out if a relation is a function using ordered pairs or the vertical line test. Discuss how to get the domain and range for continuous and discrete functions. Show examples p. 72–76.
Guided Practice: Students do problems with partner and teacher circulates as needed for assistance.
Intro to New Material: Introduce the parent functions such as linear, quadratic, absolute value, and cubic. Create graphs and discuss domain and ranges for each.
Guided Practice: Students will make a graph of a function and determine by name which parent function it is. Differentiation: Students will get various levels of difficulty of functions.
Independent Practice: Handout: Students practice problems over identifying domain and range and figuring out if a relation is a function.
Closure and Assessment: Exit Ticket - Have students stand up and show with arms the different types functions. (linear, quadratic, absolute value, cubic) - body aerobics.
H.W. Finish 2.1 Independent Practice
Day 2:
9/19/14 / Transformations: Quadratic Functions
Objective: SWBAT transform quadratic functions and describe their transformations using their parameters and identify the domain and range, and line of symmetry.
TEKS ALGII.4B, ALGII.1A
Warm Up: Identifying domain and range
Formative Assessment: Go over Handout 2.1
Intro to New Material: Notes: Quadratic Functions and their transformations: Demonstrate how to transform a quadratic function using the parameters a, h, k. Discuss how the quadratic function will transform and words such as reflection across the x-axis, vertical stretch and vertical compression, horizontal translation and vertical translation.
Guided Practice: Students do problems with partner and teacher circulates as needed for assistance.
Independent Practice: Students practice problems over transforming quadratic functions.
Closure and Assessment: Exit Ticket
H.W. Finish Quadratic Functions Problems
Day 3:
9/22/14 / Transformations: Absolute Value Functions
Objective: SWBAT to transform absolute value functions and describe their transformations using their parameters such as a, h, and k. Identify the domain and range, line of symmetery.
TEKS ALGII.4B, ALGII.1A
Warm Up: Students will describe transformations from a quadratic function from its’ equation.
Intro to New Material: Notes: Absolute Value Functions and their transformations. Discuss domain and range, transformations including reflection, horizontal and vertical translation, and vertical stretch, and vertical compression.
Guided Practice: Students practice describing transformations from the equations of functions.
Independent Practice: Students practice problems describing transformations of absolute value equations and identifying domain and range and line of symmetry.
Closure and Assessment: Students will demonstrate with their arms the different types of functions. – Body Aerobics.
H.W. Finish Absolute Value Function Problems
Day 4:
9/23/14 / Transformations: Cubic Functions
Objective: SWBAT graph the cubic function and its transformations.
TEKS ALGII.4B, ALGII.1A
Warm Up: Identify the various parent functions such as linear, quadratic, and absolute value.
Formative Assessment: Go over Absolute Value Function Problems.
Intro to New Material: Notes: Cubic Functions and their transformations. Discuss how to graph a cubic function and it’s tranformations. Discuss how to get the domain and range, and line of symmetry.
Guided Practice: Students do problems with partner and teacher circulates as needed for assistance.
Independent Practice: Students practice problems over graphing the cubic parent function and its transformations.
Closure and Assessment: Quiz over parent functions and their transformations.
Day 5:
9/24/14– 9/25/14 / District Snap Shot # 1
Assessment: Students show mastery on the district Snap Shot # 1.
Formative Assessment: Review Quadratic, Absolute Value, and Cubic parent functions and their transformations.
Guided Practice: Students practice problems over graphing parent functions and their transformations. Then identifying domain and range, line of symmetry, and describing the transformation using parameters a , h, and k. Students use words such as reflection, vertical stretch, vertical compression, horizontal translation, and vertical translation.
Closure and Assessment: Go over questions with the whole class.
Day 6:
9/26/14 / Transformations Summary
Objective: SWBAT graph quadratic, absolute value, and cubic functions and its transformations.
TEKS ALGII.4B, ALGII.1A
Warm Up: Identify the various parent functions such as linear, quadratic, and absolute value and graph and describe their transformations.
Lesson: Review selected problems involving transformation of quadratic, absolute value, and cubic functions and how to describe their transformations from the equation. Discuss how to identify the domain and range of the functions. Talk about line of symmetry.
Guided Practice: Students practice problems with partner and teacher circulates as needed for assistance.
Independent Practice: Students complete the summary page of the transformations packet.
Closure and Assessment: Quiz over parent functions and their transformations.
Day 7:
9/29/14 / Review
Objective: SWBAT graph quadratic, absolute value, and cubic functions and its transformations.
TEKS ALGII.4B, ALGII.1A
Warm Up: Identify the various parent functions such as linear, quadratic, and absolute value and graph and describe their transformations.
Lesson: Review selected problems involving transformation of quadratic, absolute value, and cubic functions and how to describe their transformations from the equation. Discuss how to identify the domain and range of the functions. Talk about line of symmetry.
Guided Practice: Students practice problems with partner and teacher circulates as needed for assistance.
Independent Practice: Students complete the transformations packet and review concepts.
Closure and Assessment: Whole Class discussion on basic rules for transformations and types of parent functions.
H.W. Study for Test over Transformations – tomorrow
Day 8:
9/30/14 / Summative Assessment:
Objective: Students show mastery over the Transformation unit.
TEKS ALGII.4B, ALGII.1A
Warm Up: Review questions
Test Unit 3: Transformations