PUSD Math News
–
Math II
Module 3: Quadratic Equations
Module 3 Overview
–
Quadratic
Equations
(Standards:
N.RN.1, N.RN.2, N.RN.3, N.CN.1,
N.CN.2, N.CN.7, N.CN.8, N.CN.9, F.IF.8, A.APR.1,
A.SSE.3c, A.REI.4, A.REI.7, A.CED.4)
Student and Teacher materials can be found at
Mathematics Vision Project
(Curriculum>Secondary Mathematics
Two>Module 3: Quadratic Equations)
Students recognize that real world scenarios such as
bacterial growth, interest, and football can often be
described by equations that involve constraints on
the defined variables based on real world conditions.
They extend the properties of exponents to rational
exponents and use properties of rational and
irrational numbers.
Students use the complex
number system to perform arithmetic operations,
represent complex numbers and their operations on
the complex plane, and use complex numbers in
polynomial identities and equations.
Students
analyze functions using different representations
and write expressions in equivalent forms to solve
problems.
They create equations that describe
numbers or relationships and understand solving
equations as a process of reasoning and explain
their reasoning.
In Module students continue to gain proficiency in
the
Standards for Mathematical Practice
.
Students will make sense of problems and preserve
in solving them,
MP1
, when they choose the best
function for a particular real world scenario (
MP4
)
and evaluate the function for a given value.
Reasoning abstractly and quantitatively,
MP2
, will
occur when students use completing the square to
derive the quadratic formula and also complete the
square to find the vertex of a quadratic function. As
students justify their reasoning they will construct
viable arguments and have the opportunity to
critique the reasoning of others,
MP3
. Students will
attend to precision,
MP6
when solving quadratic
equations.
Scan the QR code below to take you
directly to the PUSD Secondary Math
Resources webpage for
Mathematics 2, Module 3: Quadratic
Equations
You will find the student text, this
newsletter, standards for the module,
homework help video links and more!
Vocabulary and Major Mathematical
Concepts
Additive pattern
–
a pattern that results when
the same constant is added to each term to get
the next consecutive term, also called an
arithmetic sequence
(example: 3, 6, 9, 12,…)
.
Arithmetic mean
–
computed as the sum of all
the numbers in a series divided by the count of
all numbers in the series, commonly referred to
as simply “mean” or “
arithmetic average.
”
Coefficient
–
a number or symbol multiplied by
a variable or an unknown quantity in an
algebraic term (example: In the expression