Lesson planning sheet
Class: L 11
Lesson title: Graphs of the Piecewise, Absolute Value
and Reciprocal Functions
Date of lesson: 03.05.2012
Number in class:
Attainment range of pupils:
Length of lesson: 45 Minutes
Teaching objectives
Objective of this lesson is solving different types
of questions about drawing piecewise, absolute
value and reciprocal functions’ graphs.
Learning outcomes (for all, most, some)

Students will be able to practice of drawing the
graphs of piecewise, absolute value and
reciprocalfunctions.

Students will be able to make connections the
graph of f(x) and If(x)I, f(x) and f(IxI), and f(x)
and 1/f(x)
Assessment strategies
Links to curriculum
Questioning
12th grade functions unit in MEB curriculum.
Worksheet
Prior teaching /learning
Common misconceptions

Students should know the topic functions
and graphs of linear and quadratic ones.

Some students assume that IxI always equal
to x. Therefore they assume that If(x)I=f(x).

Students should know the topic absolute
value.
Students should know the features of a
piecewise and reciprocal function.

Some students think that inverse function and
reciprocal is same.

Key vocabulary
Homework
Remaining questions of worksheet.

Absolute value

Absolute value and piecewise functions

Graph of a function

Graph of the absolute value and
piecewise functions

Reflecting

Shifting
Pupils with special needs and support planned
The questions are in hierarchic structure, they are
ordered from easy to difficult.
Extension activities
Worksheet include relatively difficult question that
require critical thinking.
Resources

Advanced mathematics (written by
Richard Brown)

MEB curriculum

The mathematics book of Ted

Mathematics for the international
students (written by Haese and Harris)
Real life application
Using Geogebra and TI.
Pupil activity
Teacher activity
Notes
General admin
2’
Greeting
Greeting and explaining
lesson’s aims
Ask students to write their
names on a paper and put
those papers on their desks
Lesson starter
Time
5’
Students focus on the
lesson, prepare to begin
and listens
Teacher asks questions to
quick review of topic.
Ask questions to get
information about their prior
knowledge.
5’
Students listen carefully
and answer teacher’s
questions.
Teacher solves an example by
explaining in detail.
Ask question to understand
whether they understand or
not.
Students solve two
problems individually
Teacher monitors students and
helps them when they need.
If most of the students could
not solve question, solve on the
board.
Students listen and take
notes.
Teacher shows students how
graphs are drawn by using
Geogebra.
Students try to solve
different problems and
they may use graphic
calculator.
Teacher helps the students
when they need, monitors
around, encourages them and
want one of them to solve
problem on the board. And
teacher shows how the graphs
are drawn on graphic
calculator.
Give time to them to try and
then if they do not solve, help
them to solve or solve yourself
Students solve questions
individually.
Teacher distributes worksheets
and monitors students’’ works.
Walk around and help them
when they need.
8’
Lesson core
3’
15’
6’
Final plenary
1’
Teacher gives homework if
questions remains unsolved in
the worksheet and finishes the
lesson.
Solve problem step by step.
Walk around.