Download AGENDAS FOR THE WEEK:

AGENDAS FOR THE WEEK:
October 20 – October 24
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
5.7 Benchmark Lesson
5.7 Formative
Assessment
5.4 – 5.7 Review
5.4 – 5.7 Test
Halloween Activity
Review
Objective(s): SWBAT
* Write quadratic functions
in the form y = a(x-h)2 + k
* Transform graphs of
quadratic functions
Standards
MA.912.A.2.10
Describe and graph
transformations of functions
MAFS.912.F-BF.2.3
Identify the effect on the
graph of replacing f(x) by
f(x) + k, k f(x), f(kx), and f(x
+ k) for specific values of k
(both positive and negative);
find the value of k given the
graphs. Experiment with
cases and illustrate an
explanation of the effects on
the graph using technology.
MA.912.A.7.1
Graph quadratic equations
with and without graphing
technology.
Objective(s): SWBAT
* Write quadratic functions in
the form y = a(x-h)2 + k
* Transform graphs of
quadratic functions
Standards
MA.912.A.2.10
Describe and graph
transformations of functions
MAFS.912.F-BF.2.3
Identify the effect on the
graph of replacing f(x) by f(x)
+ k, k f(x), f(kx), and f(x + k)
for specific values of k (both
positive and negative); find
the value of k given the
graphs. Experiment with
cases and illustrate an
explanation of the effects on
the graph using technology.
MA.912.A.7.1
Graph quadratic equations
with and without graphing
technology.
*5.4
Objective(s): SWBAT
*Perform operations with
imaginary numbers
*Perform operations with
complex numbers
*5.4
Objective(s): SWBAT
*Perform operations with
imaginary numbers
*Perform operations with
complex numbers
Standards:
MAFS.912.N-CN.1.1
Know there is a complex
number i such that i² = –1,
and every complex number
has the form a + bi with a
and b real.
Standards:
MAFS.912.N-CN.1.1
Know there is a complex
number i such that i² = –1,
and every complex number
has the form a + bi with a
and b real.
MAFS.912.N-CN.1.2
Use the relation i² = –1 and
the commutative,
associative, and distributive
properties to add, subtract,
and multiply complex
numbers.
MAFS.912.N-CN.1.2
Use the relation i² = –1 and
the commutative,
associative, and
distributive properties to
add, subtract, and multiply
complex numbers.
MAFS.912.N-CN.1.3
Find the conjugate of a
complex number.
MAFS.912.N-CN.1.3
Find the conjugate of a
complex number.
MAFS.912.N-CN.3.7
Solve quadratic equations
with real coefficients that
have complex solutions.
MAFS.912.N-CN.3.7
Solve quadratic equations
with real coefficients that
have complex solutions.
*5.5
Objective(s): SWBAT
*Solve quadratic equations
using square root property
* solve quadratic equations
completing the square
Standards:
MAFS.912.A-REI.2.4
Solve quadratic equations in
one variable.
*5.5
Objective(s): SWBAT
*Solve quadratic equations
using square root property
* solve quadratic equations
completing the square
Standards:
MAFS.912.A-REI.2.4
Solve quadratic equations
in one variable.
Objective(s): SWBAT
1.1 Use order of operations
to evaluate expressions
2.3 Find rate of change
3.1 solve a system of
equations by graphing
3.2 solve systems of linear
equations by substitution
and elimination. Solve by
factoring.
5.4 Perform operations
with imaginary and
complex numbers
5.5 solve quadratic
equations completing the
square
Standards:
MA.912.N-Q.1.2
MA.912.A-CED.1.2
MA.912.A-CED.1.3
MA.912.A-REL.1.1
MA.912.F-IF.2.4
MA.912.F-IF.2.5
MA.912.F-IF.2.6
MA.912.F-IF.2.7
MA.912.F-BF.2.3
MAFS.912.A-REI.3.6
MAFS.8.EE.3.8
MA.912.A.7.2
MAFS.912.N-CN.1.2
MAFS.912.A-REI.2.4
MA.912.A.7.3
Use the method of
completing the square to
transform any quadratic
equation in x into an
equation of the form (x –
p)² = q that has the same
solutions. Derive the
quadratic formula from this
form.
Use the method of
completing the square to
transform any quadratic
equation in x into an
equation of the form (x –
p)² = q that has the same
solutions. Derive the
quadratic formula from this
form.
Solve quadratic equations
by inspection (e.g., for x² =
49), taking square roots,
completing the square, the
quadratic formula and
factoring, as appropriate to
the initial form of the
equation. Recognize when
the quadratic formula gives
complex solutions and write
them as a ± bi for real
numbers a and b.
Solve quadratic equations
by inspection (e.g., for x² =
49), taking square roots,
completing the square, the
quadratic formula and
factoring, as appropriate to
the initial form of the
equation. Recognize when
the quadratic formula gives
complex solutions and
write them as a ± bi for real
numbers a and b.
MA.912.A.7.3
Solve quadratic equations
over the real numbers by
completing the square.
MA.912.A.7.3
Solve quadratic equations
over the real numbers by
completing the square.
*5.6
Objective(s): SWBAT
*Solve quadratic equations
using the quadratic formula
*Use the discriminant to
determine the number and
types of a quadratic
equation
*5.6
Objective(s): SWBAT
*Solve quadratic equations
using the quadratic formula
*Use the discriminant to
determine the number and
types of a quadratic
equation
Standards
MA.912.A.4.6
Use theorems of polynomial
behavior (including but not
limited to the Fundamental
Theorem of Algebra,
Remainder Theorem, the
Rational Root Theorem,
Descartes' Rule of Signs,
and the Conjugate Root
Standards
MA.912.A.4.6
Use theorems of
polynomial behavior
(including but not limited
to the Fundamental
Theorem of Algebra,
Remainder Theorem, the
Rational Root Theorem,
Descartes' Rule of Signs,
Theorem) to find the zeros
of a polynomial function.
MA.912.A.7.4
Use the discriminant to
determine the nature of the
roots of a quadratic
equation.
*5.7
Objective(s): SWBAT
* Write quadratic functions
in the form y = a(x-h)2 + k
* Transform graphs of
quadratic functions
Standards
MA.912.A.2.10
Describe and graph
transformations of
functions
MAFS.912.F-BF.2.3
Identify the effect on the
graph of replacing f(x) by
f(x) + k, k f(x), f(kx), and f(x
+ k) for specific values of k
(both positive and
negative); find the value of k
given the graphs.
Experiment with cases and
illustrate an explanation of
the effects on the graph
using technology.
MA.912.A.7.1
Graph quadratic equations
with and without graphing
technology.
P
Engage
Students will complete a bell
ringer review problem. They
will practice completing the
square. Today they will
Engage
Students will complete a bell
ringer review problem. From
2.7 transformations, students
learned how to transform
Engage
Students will review the
material for the test with a
formative assessment
activity that will take the
and the Conjugate Root
Theorem) to find the zeros
of a polynomial function.
MA.912.A.7.4
Use the discriminant to
determine the nature of the
roots of a quadratic
equation.
*5.7
Objective(s): SWBAT
* Write quadratic functions
in the form y = a(x-h)2 + k
* Transform graphs of
quadratic functions
Standards
MA.912.A.2.10
Describe and graph
transformations of
functions
MAFS.912.F-BF.2.3
Identify the effect on the
graph of replacing f(x) by
f(x) + k, k f(x), f(kx), and
f(x + k) for specific values
of k (both positive and
negative); find the value of
k given the graphs.
Experiment with cases and
illustrate an explanation of
the effects on the graph
using technology.
MA.912.A.7.1
Graph quadratic equations
with and without graphing
technology.
Engage
Students will be asked to
pass forward homework
and clear their desks for the
test.
Engage
Students will play an
online game where they
must determine the
pattern in the numbers
L
A
complete the square to write
equations in vertex form, so
this will be their
preparation.
Engage also includes
answering questions from
the previous night’s
homework.
10 minutes
from parent graphs. They will
use similar skills to transform
quadratics today so this
review will remind them how
to approach these problems.
Engage also includes
answering questions from the
previous night’s homework.
10 minutes
whole class period, so there
is no engaging activity/bell
ringer.
The engage will include
answering questions from
homework though which
will take up to 10 minutes.
10 minutes
Explore
Students will explore
completing the square to
write equations in vertex
form. They will be given a
worksheet that guides their
thinking towards why
equations should be written
this way for graphing. This
will lead into Tuesday’s
graphing and transforming
quadratic equations in
vertex form. The worksheet
will also prompt students to
make connections regarding
the vertex, axis of symmetry,
and direction of opening
with and without the graph.
At this time the teacher will
circulate to ask questions,
answer questions, and
encourage students to apply
their prior knowledge about
completing the square and
transformations to answer
the questions.
15 minutes
Explore
Students will explore
transforming quadratics with
a Formative Assessment
activity where they must
choose the odd one out.
Students will receive a
worksheet to work alone so
that they must write out
sentences in their own words.
This way the teacher can
analyze individual student
progress and level of
understanding. Students are
held accountable for this
work because they will be
informed that this will be
collected and graded for
correctness (instead of the
usual completion grade). The
odd one out worksheet
challenges students to find
which of the quadratic
equations in vertex form is
different from the others.
Some are more obvious than
others, but without graphing
students may find this quite
challenging. (Students who
wish to graph each one will be
allowed to do so.) The
worksheet requires students
to explain their answers. This
will give the teacher the
Explore
Students will work on a
worksheet that is really just
blank lines with instructions
for writing. Students will
review the material
themselves and essentially
write down what they find
to be the most important
take-aways from each
section. They will then share
this with a partner and try
to convince him/her that
their own choice is the most
significant. The students
will be asked to review and
work alone for 20 minutes
before getting with a
partner.
20 minutes
Explain
Once with a partner,
students will debate and
learn from one another
other important material
they may have missed and
further study the points
they may have agreed on to
be the most significant.
This activity requires
students to use words
instead of just formulas to
describe math problems and
situations. This will
Explain
Students will be called on to
provide answers and
explanations for the
worksheet problems. At this
time the teacher will
given the input and the
output. This is a fun way to
disguise preparing to write
a function given a table a
values. This skill has not
been used recently, but
appears on the worksheet,
so a review will prepare the
students for one of the
questions.
http://pbskids.org/cyberch
ase/math-games/stopcreature/
8 minutes
Explore
Students will not explore
today but have a test on
material from sections 5.4
– 5.7. Complex and
imaginary numbers,
completing the square, the
quadratic formula and
Discriminant, and
transformations.
Explain
No explain today –
students will have a test.
Elaborate
No elaboration today –
students will have a test.
Students who finish early
will be asked to preview
next chapter’s material and
sit quietly. They will be
rewarded with Halloween
candy for taking notes on
the next chapter.
Explore
Students will be given a
color by number worksheet
with a Halloween image.
The numbers to color are
1-9. Students will solve and
simplify various problems
they have practiced
throughout the quarter.
This will also serve as a
review and allow students
to check themselves if they
get a number not 1-9. This
also allows the teacher to
circulate and monitor
which type of problem
students still struggle with.
27 minutes
Explain
Students will be called on
to work each problem from
the worksheet on the board
while taking hints from
classmates. This will give
the teacher to watch first
hand how students are
solving and how
classmates suggest to other
students how they solved it
similarly or perhaps
differently.
10 minutes
instruct students to make
notes and highlights on their
individual paper. They will
then be instructed to take
notes on the PowerPoint.
The PowerPoint will be
projected for students to
have in writing what they
just explored. This includes
step by step how to convert
equations to vertex form,
and how to interpret aspects
of the graph.
20 minutes
Elaborate
Students will be given a
problem and asked to
convert an equation in
vertex form back to
standard form. This will
review foil method and help
students see how the same
equation can be written in
different ways and how
certain forms are better
depending on what the goal
of the problem is.
5 minutes
N
Evaluate and Summary
Homework will be assigned
from the Workbook 5.7
Skills Practice #1-9. This
will be checked Tuesday.
opportunity to see how
proficient students are based
on their ability to convey their
thoughts in sentence form.
15 minutes
Explain
Students will volunteer
themselves to share their
answers from the worksheet.
(Students who would like to
eat candy will share their
answers). The concept of
transformations will be
explained further with a
PowerPoint using graphs for
students to visualize. This will
help students connect the
vertex forms on their papers
to graphs. They will be
instructed to make notes on
how each letter in the vertex
form transforms the graph.
20 minutes
challenge students to
analyze what they have
learned on a deeper level
than just recalling facts and
algorithms for problem
solving. This will also allow
the teacher to walk around
and listen to the talking and
level of understanding of
the material. This will be
collected for a grade so the
teacher can view each
student’s thoughts on paper
and compare it to test
scores.
20 minutes
Elaborate
Students will be given a
second worksheet to color
by number. The problems
will test the same type of
review material.
5 minutes
Elaborate
No elaboration. Students
will be asked to change
partners if time remains
after debating with original
partner.
Elaborate
Students will combine their
knowledge from Monday and
Tuesday to graph, and write
out the transformations for a
quadratic equation. However
this equation will be in vertex
form and they must first
convert it without being
instructed or reminded to do
so.
5 minutes
Evaluate and Summary
Homework will be assigned
from Workbook 5.7 Skills
Practice #10-15.
Evaluate and Summary
A practice test will be given
for homework.
Evaluate and Summary
Student achievement and
mastery of concepts from
5.4 – 5.7 will be assessed
through a test. The test
covers Complex and
imaginary numbers,
completing the square, the
quadratic formula and
Discriminant, and
Evaluate and Summary
transformations.
Resource
s:
Attachments:
PowerPoint
Exploration Worksheet
Materials:
-50 copies of exploration
worksheet
Attachments:
PowerPoint
Odd one out explore FA
Worksheet
Attachments:
Formative Assessment
Opposing Views Activity
Practice Test
Materials:
-50 copies of explore
worksheet
-Halloween candy
Materials:
-50 copies of FA worksheet
-50 copies of practice test
Attachments:
Test 5.4 – 5.7
Materials:
-50 copies of test
-Halloween candy
Attachments:
Worksheet 1
Worksheet 2
Materials:
-50 copies of Halloween
worksheet
-crayons/color pencils
-50 copies of elaboration
worksheet