Algebra I 3rd Quarter - South Henry School Corporation / Overview

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South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: Three
Standards
Academic Year: 2013-2014
Content
Skills
Assessment
Resources:
 Textbook: Prentice Hall Mathematics Algebra I
 Prentice Hall Mathematics Algebra I Practice Workbook
 Solutions Manual
Big Ideas:
 In order to solve systems of inequalities, the coordinate plane will be shaded and the solution set id the overlap of the shaded regions
rather than the intersection of two lines.
 There is more than one way to factor a polynomial depending on whether it has a leading coefficient of 1, a leading coefficient other than 1,
a perfect square, or a difference of two squares.
Essential Questions:
 When graphing inequalities on a coordinate plane, what is the difference between a dashed boundary line and a solid boundary line?
 What is the difference in the solution set of a system of equations and a solution set of a system of inequalities?
 How is it useful to simplify expressions by combining like terms?
 Why is it useful to write a number in scientific notation?
 Why is it helpful to factor a polynomial?
Unit/Chapter
Standards
Content
Skills
Assessment
Chapter 7 Part 2
Solving Systems of Inequalities
Common Core Standards
Linear Inequalities
Graph linear inequalities
on a coordinate plane
Daily Assessments
Represent and solve
equations and inequalities
graphically
Dashed/Solid Boundary
Lines
7-5: Linear Inequalities
7-6: Systems of Linear Inequalities
A-REI. Represent and
solve equations and
inequalities graphically
D.12. Graph the solutions to
a linear inequality in two
Systems of Linear
Inequalities
Graph systems of
inequalities to find the
solution set
Write a system of
inequalities based on a
graph of the solutions
Checked by students
and graded by teacher
Or
Graded by teacher
Textbook
Assignments
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Quarter: Three
Academic Year: 2013-2014
Unit/Chapter
Standards
Content
Skills
Assessment
Chapter 8
Exponents and Exponential
Functions
variables as a half-plane
(excluding the boundary in
the case of a strict
inequality), and graph the
solution set to a system of
linear inequalities in two
variables as the intersection
of the corresponding halfplanes.
Zero and Negative
Exponents
Simplify and evaluate
expressions that involve
negative exponents or
zero as the exponent
Worksheet
Assignments
8-1: Zero and Negative Exponents
Exponents
8-2: Scientific Notation
8-3, 8-4: Multiplication Properties of
Exponents
8-5: Division Properties of
Seeing Structure in
Exponents
Expressions
Scientific Notation
Multiplication Properties
of Exponents
Division Properties of
Exponents
Common ratio
8-7: Exponential Functions
8-8: Exponential Growth and Decay
A-SSE. Write expressions
in equivalent forms to
solve problems
B.3. Choose and produce an
equivalent form of an
expression to reveal and
explain properties of the
quantity represented by the
expression.
B.3.a Factor a quadratic
expression to reveal the
zeros of the function it
defines.
B.3.b. Complete the square
in a quadratic expression to
reveal the maximum or
minimum value of the
In- Class Oral
Responses
Weekly/Bi-Weekly
Multiply Powers to
simplify algebraic
expressions
Notes Check
Quizzes
Geometric Sequences
8-6: Geometric Sequences
Write a number in
scientific or Standard
notation
Observations
Arithmetic Sequences
Exponential Functions
Exponential Growth and
Decay
Growth Factor
Simplify algebraic
expressions using
properties of exponents
Find the next terms in a
sequence
Determine whether a
sequence is arithmetic or
geometric
Evaluate an exponential
function for a specified
value
Make a table and use it
to graph an exponential
function
Tests
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: Three
Standards
Academic Year: 2013-2014
Content
Skills
function it defines.
Use an exponential
function to model
compound interest
Arithmetic with
Polynomials & Rational
Expressions
Chapter 9
Polynomials and Factoring
9-1: Adding and Subtracting
Polynomials
9-2: Multiplying and Factoring
9-3: Multiplying Binomials
9-4: Multiplying Special Cases
9-5: Factoring Trinomials of the
Type 𝑥 2 + 𝑏𝑥 + 𝑐
9-6: Factoring Trinomials of the
Type 𝑎𝑥 2 + 𝑏𝑥 + 𝑐
9-7: Factoring Special Cases
9-8: Factoring by Grouping
A-APR. Perform
arithmetic operations on
polynomials.
A.1. Understand that
polynomials form a system
analogous to the integers,
namely, they are closed
under the operations of
addition, subtraction, and
multiplication; add,
subtract, and multiply
polynomials.
A-APR. Understand the
relationship between zeros
and factors of
polynomials.
B.3. Identify zeros of
polynomials when suitable
factorizations are available,
and use the zeros to
construct a rough graph of
the function defined by the
polynomial.
Degree of monomials and
polynomials
Adding/Subtracting
Polynomials
Factoring
Multiplying Binomials
Real World Application
that involves multiplying
binomials
Square of a Binomial
Classify a polynomial
based on the degree and
the number of terms
Add/subtract
polynomials by
vertically lining up like
terms
Simplify an expression
by multiplying a
polynomial by a
common term
Use the Greatest
Common Factor to
factor out a monomial
Difference of Squares
Factoring trinomials with
a coefficient of 1 and a
coefficient other than 1
Factor by Grouping
Perfect-Square Trinomials
Use FOIL to multiply
binomials
Use FOIL to multiply
binomials to solve real
word problems
(Finding an area)
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: Three
Standards
Function, Building
Functions
B-BF. Build a function
that that models a
relationship between two
quantities.
A.2. Write arithmetic and
geometric sequences both
recursively and with an
explicit formula, use them
to model situations, and
translate between the two
forms.
Standards for Mathematical
Practice
MP1: Make sense of
problems and persevere in
solving them.
MP2: Reason abstractly and
quantitatively.
MP3: Construct viable
arguments and critique the
reasoning of others.
MP4: Model with
mathematics.
MP5: Use appropriate tools
strategically.
MP6: Attend to precision.
Academic Year: 2013-2014
Content
Skills
Difference of two squares
Square a binomial and
multiply to find the
difference of squares
Factoring by finding two
factors that multiply to c
and add to b.
Factor trinomials by
grouping
Factor perfect square
trinomials and
difference of squares
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: Three
Standards
MP7: Look for and make
use of structure.
MP8: Look for and express
regularity in repeated
reasoning.
Academic Year: 2013-2014
Content
Skills
Assessment
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