Using BOPPPS in Mathematics

total wages per workweek listing both the domain and the range of your function.
(Bloom's Synthesis)

Teacher: Mr. Molina

Assignment: Relation or Function

Format: Flash Cards

Create 5 examples of a relations and functions. Each example must in a different format: set notation,
table, set of ordered pairs, mapping, equation, graph. Clearly identify the domain, the range, and a clear
explanation of why the relation is or is not a function on back of each card. After which, create 5
examples of real-life scenarios that mirror your relations and place on back as well. Example: if you
chose to show cost of gasoline, then C(g)=1.82g where g is the gallons, 1.82 is the current price of gas,
and C(g) is the Cost of putting in “g” gallons into your tank: Domain ={g|g ≥ 0} and Range {C(x)| C(x)≥0

You will be graded by the rubric below:

Category/Points 3 2 1
Forms of functions used All 5 different forms of 3 – 4 different forms 2 or 1 form of a
a function were used of a function were function were used
Domain used.
Domain was clearly Domain was identified Domain was partially
Range identified and verified but not verified with or incorrectly
with sample values. sample values identified.
Explanation of relation Range was clearly Range was identified Range was partially or
as a function identified and verified but not verified with incorrectly identified.
with sample values. sample values.
Real-life examples Explanation was clear Explanation was Explanation was
and accurate with accurate but no incorrect or not
Placements counterexample counter example was provided/
provided provided
A real-life example A real-life example A real-life example
was given for each one was given for 3-4 of was given for 2 or less
form of a function for the forms of a of the forms of a
a total of 5 examples function. function
All cards had format of Most cards had format Cards were missing
a function on one side of a function on one format of a function or
and answers to range, side and answers to explanations.
domain, and function range, domain, and
explanation on back. function explanation
on back.

ACP SHOWCASE

Name: David Molina
Discipline: Mathematics
Date: April 18, 2016

E PORTFOLIO

TABLE OF CONTENTS

 Student Preparation Strategy
 BOPPPS lesson-be sure to highlight

 CAT
 Questions
 Technology

 Reflection

the following:

STUDENT PREPARATION STRAT

 online a 3-question handout for three
the objectives in the reading.

 similar to problem worked out by the

 Student would only need to look

 for the problem under the specific obje
 copy down how the book solved the prob
 list the objective that was being satisfie
 the page number and the correct solutio

TEGY
e problems associated with each of

e book

ective,
blem
ed
on as per the book.

BOPPPS – BRIDGE

 Real-Life problem that associates top

pic to current life

BOPPPS – OBJECTIVES

(Knowledge, Comprehension, Application):
 identify, list, and explain when a relation is a functio
table, concept mapping, and an equation with 100%

 (Knowledge, Comprehension)
 describe the domain and range of a relation and functio
with a 100% accuracy.

 (Application)
 evaluate and solve functions for specific values and give
accuracy.
 apply functions to a given word problem using script f a
accuracy.

 (Analysis)
 compare and contrast two relations: 1/2 circle and circl
of each and justifying naming one a function with 100%

 (Analysis, Synthesis, Evaluation)
 construct a graph of a function such as f(x)=x, g(x)=|x|,
of the domain and range, while defending why the funct
function with 100% accuracy.)

on when given a graph,
accuracy.

n in any one of three forms

en intervals with a 100%
and g notation with a 100%

le giving domain and range
% accuracy.

, and examine the interval
tion created is named a

BOPPPS- PRE-ASSESSMEN

 ½ Sheet: Functions-Pre-Assessment

 Students will work collaborative in
background knowledge they may ha
and determining domain and range

 This builds schema!

NT

t.pdf

n pods of 3-4 in search of any
ave in relations versus functions,
e of a function.

BOPPPS- PARTICIPATORY

 All student-centered
 Student must seek out

answer

LESSON

BOPPPS- PARTICIPATORY

 Instructional presentation poses questio
application

LESSON

ons as well and ties in to real-life

BOPPPS- PARTICIPATORY

 Technology addresses animated preferen
technology

LESSON

nces of millenials and uses

BOPPPS- PARTICIPATORY LE
CAT is engaging and relevant

Relations and Functions.pdf

Students will demonstrate with
that they can determine domai
relation in various and then id
as a function if it fits the defin

ESSON
to objectives

h 100% accuracy
in and range of a
dentify the relation
nition.

BOPPPS- POST-ASSESSMENT

 The post-assessment will assess the ob
blooms (in-class).

Q1: Given y=f(x), please give the function for y = 3x - 2. (Bloom's Comp
a) y=f(x) - 2 --Distractor: Student plugs in f(x) for 3x
b) y = 3f(x) - 2 --Distractor: Student plugs in f(x) for just the x
c) f(x)=3y - 2 --Distractor: Student plugs in f(x) for y but puts t
both.
d) f(x) = 3x - 2 --Correct: Student understands that wherever st

Q2: If g(x) = -4 - x, what is the value for g(-2) (Bloom's Application)
a) -6 --Distractor: Student plugs in -2 for x but assumes the "-" al
substitution.
b) -8 --Distractor: Student plugs in -2 for x but assumes multiplic
c) -2 --Correct: Student plugs in -2 for x and evaluates -4 - (-2), w
d) 8 --Distractor: Student plugs in -2 correctly, changes the signs
letters side by side

Q3: As Karen was working on the linear relation y = 2x + 5, Brenda wa
replied, "There is no difference, so it doesn't matter." If you were
explaining the differences between relations and functions. (Bloo

Q4: Pretend you have landed a part-time job at Starbucks as a barista
you do not work more than 20 hours. Using appropriate variables
wages per workweek listing both the domain and the range of you

bjectives with questions based on 4

prehension)

the y in place of x since student feels an equation needs to have

tudent sees an "y" then an "f(x)" may replace it.

lready there belongs to the x, so solves -4-2, which is an incorrect

cation since the "f" and the "x" looks like two letters side by side.
which gives a correct answer of -2
s, but assumes multiplication since he "f" and the "x" looks like two

anted her to rename it as a function, f(x) = 2x + 5 to which Karen
e Brenda, what would you say to Karen to defend renaming it while
om's Evaluation)
to help you pay for college. Starbucks pays you $13 per hour and
s and functional notation, create a function that depicts your total
ur function. (Bloom's Synthesis)

BOPPPS- POST-ASSESSMENT

 The post-assessment will assess
the objectives with questions
based on student-created material
(out-of-class).



BOPPPS- SUMMARY

 The exit-ticket will allow students to id
and determine if it is a function or not.

 Encompasses all the objectives.

Y

dentify the form, the domain, the range,
.