EDCP 342: LESSON PLAN: Absolute Value Function(Murugan, Niloo & Brendan )

EDCP 342:  LESSON PLAN: Absolute Value Functions

(Graphing and analyzing absolute value functions)

Subject: Pre-calculus	Grade: 11	Date: 11/01/17	Time: 15 mins.
Lesson Overview	Sketching and comparing the graphs of functions and related absolute value functions using reflection.
Class Profile	- 12 students

Big Idea(s)

Relations and functions

Curriculum Competencies	It is expected that students will graph and analyze absolute value functions to solve problems.
Content	1)      Creating a table of values for y = |f(x)| 2)      Sketching the graph of y = |f(x)| 3)      Stating the intercepts, domain, and range. 4)      Explaining why |f(x)| < 0 has no solution.
Language Objectives	-          Absolute value -          Domain, range, and intercepts -          Slope, equations, functions, inputs and outputs, relations -          Independent variable, dependent variable

Materials and Equipment Needed for this Lesson -          Graph paper -          Activity sheets -          Devices with internet connection -          Online access to GeoGebra -          https://www.geogebra.org/m/BsrKaZtC

	Lesson Stages	Learning Activities	Time Allotted
1	Hook	Ask: How do we break a function into pieces?	2 minute
2	Warm-up & Presentation	Say and show: Let’s look at an example, y = |x|. [GeoGebra will be used to interact with this function.] Discuss: Probe students what they have noticed and what they thought about the graphs of the function and their absolute values. Guiding questions: -          What do you notice about the graphs where x > 0? -          What do you notice about the graphs where x < 0? -          Where is the graph of the absolute value function the same as the graph of the linear function? -          Where is the graph reflected over the x-axis? -          How could we write the absolute value function as a piecewise function?	3 minutes
3	Practice and Production	Following the discussion, students will complete a table of values and sketch and analyze y = f(x) = x in small groups. -          f(x) -          |f(x)| -          f(|x|) -          |f(|x|)| While students are working in groups, the teacher will float around the class and make sure that all the students are interacting with each other and graphing and analyzing the functions.	8 minutes
4	Closure	Show: As a class, we will walk through the whole process of graphing the absolute value functions using GeoGebra. This will allow students to see and experience how technology can be used to visualize mathematical concepts. Students will hand-in their completed activity sheet at the beginning of the next class.	2 minutes

Adaptations

-          Visual images/GeoGebra will be provided. -          To promote further investigation and exploration, ELLs and weaker students will be encouraged to use GeoGebra to visualize the concept. -          ELLs will be encouraged to use multiple representations, including but not limited to tables, symbols, words, diagrams, or manipulatives to communicate and deepen their understanding of the concept. -          Extra time will be given for ELLs who work more slowly.

Assessment/Evaluation of Students’ Learning

-          All the students will hand-in their completed activity sheet. -          ELLs will be asked to summarize or paraphrase important concepts of this lesson through informal interviews, visual images, or GeoGebra. -          Frequent briefing sessions will be conducted with ELLs to discuss difficulties resulting from lack of understanding of terminology or directions. -          All Students will show what they have learned by responding to the following prompt at the end of the lesson: o   3) Things that they have learned o   2) Things that they want to know more about o   1) Lingering questions.

Supplementary Notes

Vocabulary

-          Absolute value: The magnitude of a real number without regard to its sign.

-          Domain: The set of all possible values of the independent variable or variables of a function.

-          Range: The set of values that a given function can take as its argument varies.

-          Intercept: The point at which a given line cuts a coordinate axis; the value of the coordinate at that point.

-          Slope: A measure of the steepness of a line, or a section of a line, connecting two points.

-          Equations: A statement that the values of two mathematical expressions are equal (indicated by the sign =).

-          Functions: A relationship or expression involving one or more variables.

-          Inputs: Numeric values to which a procedure is applied, producing a numeric value.

-          Outputs: Numeric values produced by the procedure.

-          Relation: A correspondence between two sets (called the domain and the range) such that to each element of the domain, there is assigned one or more elements of the range.

-          Independent variable: A variable that represents a quantity that is being manipulated.

-          Dependent variable: A variable that represents a quantity whose value depends on those manipulations.

Absolute Value Functions

                                                                        NAME ___________________________

Complete the following table: 1) y = f(x) = x; 2) y = f(x) = x²; 3) y = f(x) = x^-1

x	f(x)	|f(x)|	f(|x|)	|f(|x|)|
-3
-2
-1
0
1
2
3

Absolute Value Functions

                                                                        NAME ___________________________

Complete the following table: 1) y = f(x) = x; 2) y = f(x) = x²; 3) y = f(x) = x^-1

x	f(x)	|f(x)|	f(|x|)	|f(|x|)|
-3
-2
-1
0
1
2
3

ACTIVITY SHEET: Absolute Value Functions

                                                                        NAME ___________________________