Unit 2: Quadratics equations and functions
Ch.
Sec
Concepts and skills to
be covered
9A
Quadratic expressions
and equations: what
makes something
quadratic?
WWW starter
- then search for
Research Practice: decide whether you want to start with level 1 – 4 or 5 – 6.
Video
http://www.mathsisfun.com/
algebra/quadraticequation.html
http://yout
u.be/0tjo5a
SgXSo
2G
Different
forms…factorization:
how do I factor a
quadratic expression?
Initial Practice
your own
2F
http://www.p
urplemath.co
m/modules/fa
ctquad.htm
http://yout
u.be/yfiMho
1_t4k
2, 3 and 4
5 and 6
1
2 and 3
1(a, f), 2(b, g)
http://www.mathsisfun.com/
algebra/completingsquare.html
1(a, c)
9B.2
Solving quadratic
equations 1: what is the
“null factor” law and how
does it help me solve a
quadratic equation?
http://www.
mathsteacher
.com.au/year
10/ch12_qua
dratic_equati
ons/01_solvin
g/quad.htm#
NFL
1(a, e) and 2(e, f)
http://yout
u.be/6fHKfc
R51X8
http://yout
u.be/1bbcLe
Yht5s
1, 2 and 3
Level 7-8
7 and 8
4, 5 and 6
4, 5, 6
Factoring Quadratics 1
Factoring quadratics 2. Factoring
quadratics with 2 variables
Completing the square in
quadratic expressions
1
1, 2, 3
Khan
Solving quadratics by taking the
square root
1(a, d, e), 2(e),
4(e)
9C
Solving quadratic
equations 2; how can
technology help me solve
a quadratic equation?
Level 5-6
1,2
Different forms…perfect
squares: how do I
complete the square?
http://yout
u.be/IKyUuv
ulIbk
Level 1-4
1(a, b), 2(a, b)
http://yout
u.be/ZQNRsWhOGI
http://yout
u.be/70dA3
4KAFWw
2H
Grade 10 Standard Unit Guide
7, 8
Solving quadratics by factoring
Solving quadratics by factoring 2
9C
9E.1
9E.2
9E.3
9D
17A
17B.1
17B.2
17B.3
17B.4
Solving quadratic
equations 3: how does
completing the square
lead to the quadratic
formula?
Note: solving equations
by completing the square
is Extension work
The Discriminant: how
many solutions can a
quadratic equation have?
Applications: what sorts
of problems can I use
quadratic equations for?
http://yout
u.be/bclm1t
JB-3g
http://www.b
bc.co.uk/scho
ols/gcsebitesi
ze/maths/alge
bra/quadequa
tionshirev2.sh
tml
Graphs of quadratic
functions: How to graph
quadratic functions.
(Investigation has been
completed)
Graphs of quadratic
functions: Completing
the square. How to graph
when the leading
coefficient is non-zero?
http://www.
purplemath.c
om/modules/
grphquad.ht
m
4
http://yout
u.be/tGH0x
cT8q90
http://yout
u.be/tkFv6E
RpxHc
https://ww
w.youtube.
com/watch
?v=DePssu
UI3Tw
http://math
.wonderho
wto.com/h
owto/complet
e-square-
Understanding the process for
solving quadratic equations
Solving quadratics by
completing the square 1
http://yout
u.be/y6Noig
LKBqQ
https://ww
w.youtube.
com/watch
?v=ZENu1
OgFgSY
Quadratic functions: How
to find a variable given
the value of another one?
2, 3
http://yout
u.be/nzHp2
o8bMnI
http://yout
u.be/kuimo
HMleug
http://www.vi
rtualnerd.com
/tutorials/?id
=Alg1_12_02_
0008
http://www.
mathsisfun.co
m/algebra/qu
adraticequation-realworld.html
2(d, g)
1(a, e)
1 (a – j)
1(k, l) and
2(a, b)
2(c, d, e, f), 3,
4 and 5
1(a), 2(e, h)
1 and 2
1(a, e)
1, 2 and 3
4
12 – 14, 17 20, 23, 24 and
25
1 and 6
2, 3, 4, 5, 7
8, 9, 10, 11,
15, 16
1(f), 2(a), 4(a),
3(a)
2, 3, 4
5, 6, 7
1(a), 2(a)
1, 2
1, 2
3(a), 5(a)
1(b, d, f),
3(b, d, f),
5(b, d, f)
1(b, d, f),
3(b, d, f),
5(b, d, f)
Solving quadratics by
completing the square 2
Using the quadratic formula
Graphing parabolas in
standard form
Graphing parabolas in vertex
form
1(a, b), 2(a, b)
Parabola intuition 1
Graphing parabolas in all
forms
graphquadraticfunction318082/
17C.1
17C.2
17D
17E
Axes intercepts: How to
finding the x- and yintercepts? Factorizing to
find the x-intercepts.
Axis of symmetry: How
to find the axis of
symmetry, and thus find
the turning point?
Quadratic optimization:
Solving problems using
quadratics.
http://www.
purplemath.c
om/modules/
intrcept.htm
https://w
ww.youtu
be.com/w
atch?v=w
Ps0tjl8Vp
g
http://www
.virtualner
d.com/alge
bra1/quadratic
-equationsfunctions/g
raphing/gr
aphbasics/axis
symmetryexample
http://www
.virtualner
d.com/alge
bra1/quadratic
-equationsfunctions/d
iscriminant
-quadraticformula/qu
adraticformula/pr
oblemquadraticformulaboxdimensions
1(b), 2(b), 3(b)
1, 2
2, 3
2(b)
1
2
1(a), 2(a)
1(b, e, h),
2(b. e. h),
3(b, e, h)
4,
5(a, c, e, …)
6, 7
1(a, b, c)
1, 2, 3
4, 5, 6
7, 8
Vertex of a parabola
Key features of quadratic
functions
Finding and interpreting key
features of quadratics
Statement of Inquiry: Modeling using a logical process helps us to understand the world
Factual Question:
Conceptual Question:
Debatable Questions
What situations can be modeled using
quadratic equations and functions? What is a
mathematical model?
What do solutions mean? What happens
when I change various parts of the model?
Is a mathematical model a true
representation of reality?
Skills
Prerequisite Skills
You should be able to do by the end of the unit:
You should be able to do before the start of the unit:
Solve quadratic equations by factoring
Expand algebraic expressions
Solve quadratic equations by completing the square
Factorize algebraic expressions
Solve quadratic equations using the quadratic formula
Substitute values into variables in an equation
Solve quadratic equations using technology (GDC)
Solve for a given variable in an equation
Solve a variety of problems that can be modeled by quadratic
equations
Graph quadratic equations using various pieces of information
Plot points on a Cartesian graph
Find the axes intercepts
Find the axis of symmetry and the vertex of the parabola
Assessment Type
Vocabulary Quiz
Practice Quiz
Unit Test
Investigation
Applied Mathematics Assessment
Other
Study Sequence:
1. Make a Concept Map
2. Do practice tests.
3. Do Review sections from book.
4. Go back and do more problems.
Criteria
formative
formative
A
B, C
C, D
Date
To Be Determined
TBD
TBD
TBD
TBD
Notes
There will be one mid unit and one of end unit test.
There may be two such investigations.
Suggestions to make studying more manageable:
1. Work in a well-lit, quiet and comfortable environment. Turn off all distractions.
2. Have all resources ready and use them when studying. Do many problems in a row, check your work, then check solutions with key. Timing
yourself is also helpful.
3. Don’t wait until the last night.
4. Realistically assess your skills and if needed SEEK HELP!