South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: Four
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:
 The graphs of quadratic equations do not always have an x-intercept, and if they do, it may not be an integer. It is important to know that
there are multiple ways to find solutions to quadratic equations.
 Real world situations can be represented by quadratic equations.
 The Pythagorean Theorem and its inverse can be used to find missing sides of a right triangle.
 When adding and subtracting rational expressions, the expressions must have a common denominator.
Essential Questions:
 How is a graph useful when finding solutions to a quadratic equation?
 What is required for a radicand to be in simplest form?
 What information is necessary in order to use trigonometric ratios to find missing angles and sides in a right triangle?
 How do you determine when to use a permutation and when to use a combination?
Unit/Chapter
Standards
Content
Skills
Assessment
Chapter 10
Quadratic Equations and
Functions
Common Core Standards
Quadratic Graphs
Identify the vertex and
maximum or minimum
of a quadratic function
by looking at its graph
Daily Assessments
10-1: Exploring Quadratic Graphs
Arithmetic with
Polynomials & Rational
Expressions
Standard Form of a
Quadratic Function
Vertex
10-2: Quadratic Functions
10-3: Finding and Estimating
Square Roots
A-APR. Rewrite rational
expressions.
D.7. (+) Understand that
rational expressions form a
system analogous to the
Axis of Symmetry
Maximum/ Minimum
Graph quadratic
functions in the form
𝑎𝑥 2 + 𝑐
Graph quadratic
equations and
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
Unit/Chapter
10-4: Solving Quadratic Equations
10-5: Factoring to Solve Quadratic
Equations
10-6: Completing the Square
Quarter: Four
Academic Year: 2013-2014
Standards
Content
Skills
Assessment
rational numbers, closed
under addition, subtraction,
multiplication, and division
by a nonzero rational
expression; add, subtract,
multiply, and divide rational
expressions.
Quadratic
Functions/Inequalities
inequalities in the form
𝑎𝑥 2 + 𝑏𝑥 + 𝑐
Worksheet
Assignments
Square Roots
Simplify square root
expressions and tell
whether it is rational or
irrational
Observations
In- Class Oral
Responses
Reasoning with Equations
and Inequalities
Quadratic Formula
Discriminant
Estimate Square roots
Weekly/Bi-Weekly
Modeling
Solve quadratic
equations by graphing to
x-intercepts and by
finding square roots.
Notes Check
A-REI. Understand
solving equations as a
process of reasoning and
explain the reasoning
A.2. Solve simple rational
and radical equations in one
variable, and give examples
showing how extraneous
solutions may arise.
Solving Quadratic
Equations
10-7: Using the Quadratic Formula
10-8: Using the Discriminant
10-9: Choosing a Linear, Quadratic,
or Exponential Model
A-REI. Solve equations
and inequalities in one
variable.
B.4. Solve quadratic
equations in one variable.
B.4.a. Use the method of
completing the square to
transform any quadratic
equation in x into an
equation of the form (x –
Quizzes
Tests
Solve quadratic
equations by factoring
and completing the
square.
Use the quadratic
formula to solve
quadratic equations
Use the discriminant to
determine the number of
solutions of a specific
equation
Determine which type of
graph is appropriate to
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Chapter 11
Radical Expressions and
Equations
11-1: Simplifying Radicals
11-2: The Pythagorean Theorem
11-3: The Distance and Midpoint
Formulas
11-4: Operations with Radical
Expressions
11-5: Solving Radical Equations
11-6: Graphing Square Root
Functions
11-7: Trigonometric Ratios
Quarter: Four
Standards
p)2 = q that has the same
solutions. Derive the
quadratic formula from this
form.
B.4.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.
F-IF Analyze functions
using different
representations
C.7. Graph functions
expressed symbolically and
show key features of the
graph, by hand in simple
cases and using technology
for more complicated cases.
C.7.b. Graph square root,
cube root, and piecewisedefined functions, including
step functions and absolute
Academic Year: 2013-2014
Content
Skills
represent a given
situation or set of data
(Linear, Quadratic,
Exponential)
Simplify Radical
Expressions
Simplest Radical Form
Pythagorean Theorem and
its converse
Distance and Midpoint
Formulas
Operations with Radical
Expressions
Graph square root
functions
Trigonometric Ratios
Application of
Trigonometric Ratios to
Find Angles of Elevation
and Angles of Depression
Apply multiplication
and division properties
of square roots in order
to simplify the
expression to its
simplest radical form
Use the Pythagorean
theorem to find the
length of a missing side
of a triangle
Determine whether three
sides of a triangle
construct a right triangle
Use formulas to find the
distance and midpoint
between two given
points
Simplify radical
expressions
Solve radical
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Quarter: Four
Unit/Chapter
Standards
Chapter 12
Rational Expressions and
Functions
value functions.
C.7.d. (+) Graph rational
functions, identifying zeros
and asymptotes when
suitable factorizations are
available, and showing end
behavior.
C.8. Write a function
defined by an expression in
different but equivalent
forms to reveal and explain
different properties of the
function.
C.8.a. Use the process of
factoring and completing
the square in a quadratic
function to show zeros,
extreme values, and
symmetry of the graph, and
interpret these in terms of a
context.
C.9. Compare properties of
two functions each
represented in a different
way (algebraically,
graphically, numerically in
tables, or by verbal
descriptions). For example,
given a graph of one
quadratic function and an
algebraic expression for
12-1: Inverse Variation
12-2: Graphing Rational Functions
12-3: Simplifying Rational
Expressions
12-4: Multiplying and Dividing
Rational Expressions
12-5: Dividing Polynomials
12-6: Adding and Subtracting
Academic Year: 2013-2014
Content
Skills
expressions by isolating
the radical
Graphing square root
functions with vertical
and horizontal
translations
Use sine, cosine, and
tangent ratios to find
angles and missing side
lengths in right triangles
Inverse Variation
Constant of Variation
Graph Rational Functions
Simplify Rational
Expressions
Operations with Rational
Expressions
Divide Polynomials
Write an equation for an
inverse variation when
given a point
Determine whether data
represents direct or
indirect variation
Graph rational functions
and find the vertical and
horizontal asymptotes
Simplify rational
expressions
Solve Rational Equations
Counting Methods
Add, subtract, multiply
and divide rational
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Rational Expressions
Quarter: Four
Standards
another, say which has the
larger maximum.
Academic Year: 2013-2014
Content
expressions
Permutations
12-7: Solving Rational Equations
12-8: Counting Methods and
Permutations
12-9: Combinations
ECA Review and Exam
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.
MP7: Look for and make
use of structure.
MP8: Look for and express
regularity in repeated
reasoning.
Skills
Combinations
Probability with
Permutations and
Combinations
Divide polynomials by a
monomial or binomial
Solve rational equations
by factoring
Use permutation
notation and
combination notation to
simplify expressions
Use permutations and
combinations to find
probabilities
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: Four
Standards
Academic Year: 2013-2014
Content
Skills
Assessment