Curriculum and Instruction – Office of Mathematics
Bridge Math
2nd Nine Weeks
Introduction
In 2014, the Shelby County Schools Board of Education adopted a set of ambitious, yet attainable goals for school and student
performance. The District is committed to these goals, as further described in our strategic plan, Destination2025. By 2025,
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80% of our students will graduate from high school college or career ready
90% of students will graduate on time
100% of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals, we must collectively work to provide our students with high-quality, College and
Career Ready standards-aligned instruction. Acknowledging the need to develop competence in literacy and language as the
foundation for all learning, Shelby County Schools developed the Comprehensive Literacy Improvement Plan (CLIP). The CLIP
ensures a quality balanced literacy approach to instruction that results in high levels of literacy learning for all students across
content areas. Destination 2025 and the CLIP establish common goals and expectations for student learning across schools.
CLIP connections are evident throughout the mathematics curriculum maps.
The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end
of a grade. College and Career Ready Standards are rooted in the knowledge and skills students need to succeed in postsecondary study or careers. While the academic standards establish desired learning outcomes, the curriculum provides
instructional planning designed to help students reach these outcomes. Educators will use this guide and the standards as a
roadmap for curriculum and instruction. The sequence of learning is strategically positioned so that necessary foundational
skills are spiraled in order to facilitate student mastery of the standards.
These standards emphasize thinking, problem-solving and creativity through next generation assessments that go beyond
multiple-choice tests to increase college and career readiness among Tennessee students. In addition, assessment blueprints
(http://www.tn.gov/education/article/tnready-blueprints ) have been designed to show educators a summary of what will be
assessed in each grade, including the approximate number of items that will address each standard. Blueprints also detail
which standards will be assessed on Part I of TNReady and which will be assessed on Part II.
Curriculum and Instruction – Office of Mathematics
Bridge Math
Our collective goal is to ensure our students graduate ready
for college and career. The Standards for Mathematical
Practice describe varieties of expertise that mathematics
educators at all levels should seek to develop in their
students. These practices rest on important “processes and
proficiencies” with longstanding importance in
mathematics education. The first of these are the NCTM
process standards of problem solving, reasoning and proof,
communication, representation and connections.
2nd Nine Weeks
Problem Solving
Connecton
Representation
Look for and
express
regularity in
repeated
reasoning
Look for and
make use of
structure
Make sense of
problems and
persevere in
solving them
Reason
abstractly and
quatitatively
Mathematical
Practices
Attend to
precision
Construct viable
arguments and
crituqe the
reasoning of
others
Model with
mathematics
Use appropriate
tools
strategically
Reasoning and
Proof
Communication
The second are the strands of mathematical proficiency
specified in the National Research Council’s report Adding
It Up: adaptive reasoning, strategic competence, conceptual
understanding (comprehension of mathematical concepts,
operations and relations) procedural fluency (skill in
carrying out procedures flexibly, accurately, efficiently and
appropriately), and productive disposition (habitual
inclination to see mathematics and sensible, useful and
worthwhile, coupled with a belief in diligence and one’s
own efficacy). Throughout the year, students should
continue to develop proficiency with the eight Standards
for Mathematical Practice.
Curriculum and Instruction – Office of Mathematics
How to Use the Mathematic Curriculum Maps
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our
students can reach Destination 2025. To reach our collective student achievement goals, we know that teachers must change their
instructional practice in alignment with the three College and Career Ready shifts in instruction for Mathematics. We should see these shifts
in all classrooms:
1) Focus
2) Coherence
3) Rigor
Throughout this curriculum map, you will see resources as well as links to tasks that will support you in ensuring that students are able to
reach the demands of the standards in your classroom. In addition to the resources embedded in the map, there are some high-leverage
The TNCore Mathematics Standards
The Tennessee Mathematics Standards:
Teachers can access the Tennessee State standards, which
https://www.tn.gov/education/article/mathematics- are featured throughout this curriculum map and
standards
represent college and career ready learning at reach
respective grade level.
Mathematical Shifts
Focus
The standards are focused on fewer topics so students can
http://achievethecore.org/shifts-mathematics
learn more
Coherence
http://achievethecore.org/shifts-mathematics
Topics within a grade are connected to support focus, and
learning is built on understandings from previous grades
Rigor
http://achievethecore.org/shifts-mathematics
The standards set expectations for a balanced approach to
pursuing conceptual understanding, procedural fluency,
and application and modeling
resources around each of the three shifts that teachers should consistently access:
Subject to revision
McGraw-Hill Tennessee Bridge Math
TN Bridge Math Standards
Prentice Hall Algebra I
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
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Curriculum and Instruction – Office of Mathematics
Curriculum Maps:
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Locate the TDOE Standards in the left column. Analyze the language of the standards and match each standard to a learning target in
the second column.
Consult your McGraw-Hill Tennessee Bridge Math & Pearson/Prentice Hall Algebra I, Algebra II & Glencoe Geometry Teachers’ Edition
(TE) and other cited references to map out your week(s) of instruction.
Plan your weekly and daily objectives, using the standards' explanations provided in the second column. Best practices tell us that
making objectives measureable increases student mastery.
Carefully review the web-based resources provided in the 'Content and Tasks' column and use them as you introduce or assess a
particular standard or set of standards.
Review the CLIP Connections found in the right column. Make plans to address the content vocabulary, utilizing the suggested
literacy strategies, in your instruction.
Examine the other standards and skills you will need to address in order to ensure mastery of the indicated standard.
Using your McGraw-Hill/Glencoe or Pearson TE and other resources cited in the curriculum map, plan your week using the SCS
lesson plan template. Remember to include differentiated activities for small-group instruction and math stations.
Subject to revision
McGraw-Hill Tennessee Bridge Math
TN Bridge Math Standards
Prentice Hall Algebra I
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
4 of 10
Curriculum and Instruction – Office of Mathematics
2nd Nine Weeks
TN State Standards
Bridge Math
Essential Understandings
Content & Tasks
CLIP Connections
Unit 4 - Chapter 11: Polynomials
Chapter 8: Polynomials & Factoring
(5 weeks for instruction, review, and assessment)
7. Perform polynomial arithmetic, including
adding, subtracting, multiplying, dividing,
factoring, and simplifying results.
11-1 Add and Subtract Polynomials
8-1 Adding and Subtracting Polynomials
Ways of Looking: Revisiting Concepts
W-SM Symbolic Mathematics
7. Perform polynomial arithmetic, including
adding, subtracting, multiplying, dividing,
factoring, and simplifying results.
11-2 Multiply by a Monomial
11-3 Divide and Find Factors
8-2 Multiplying and Factoring
Concept Byte: Using Models to Multiply
Ways of Looking: Revisiting Concepts
W-SM Symbolic Mathematics
7. Perform polynomial arithmetic, including
adding, subtracting, multiplying, dividing,
factoring, and simplifying results.
11-4 Multiply Two Binomials
8-3 Multiplying Binomials
Making Connections
M-SD Symbolic & Diagnostic Mathematics
3. Recognize special products and factors of
polynomials to facilitate problem solving with
polynomials; in particular, find the zeros of a
quadratic polynomial function.
11-5 Find Binomial Factors in a Polynomial
8-8 Factoring by Grouping
Making Connections
M-SD Symbolic & Diagnostic Mathematics
3. Recognize special products and factors of
polynomials to facilitate problem solving with
polynomials; in particular, find the zeros of a
quadratic polynomial function.
11-6 Special Factoring Patterns
8-4 Multiplying Special Cases
CCSS Video Lesson: Perfect Squares
Making Connections
M-SD Symbolic & Diagnostic Mathematics
3. Recognize special products and factors of
polynomials to facilitate problem solving with
polynomials; in particular, find the zeros of a
quadratic polynomial function.
11-7 Factor Trinomials
8-5 Factoring x2+ bx+ c
Concept Byte: Using Models to Factor
8-6 Factoring ax2+ bx+ c
11-8 Problem Solving Skills: The General
Ways of Looking: Revisiting Concepts
W-SM Symbolic Mathematics
Subject to revision
McGraw-Hill Tennessee Bridge Math
Textbooks
http://www.connected.mcgraw-hill.com/
http://www.pearsonsuccessnet.com/
TN Bridge Math Standards
Prentice Hall Algebra I
Give the steps needed for adding and
subtracting polynomials? What are the
most common errors made?

Give an explanation of how FOIL
is a mnemonic for binomial
multiplication.
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
5 of 10
Curriculum and Instruction – Office of Mathematics
2nd Nine Weeks
TN State Standards
Bridge Math
Essential Understandings
Content & Tasks
CLIP Connections
Case
11-9 More on Factoring Trinomials
Ways of Looking: Revisiting Concepts
W-GM – Graphic Mathematics
4. Operate (add, subtract, multiply, and divide)
with and evaluate rational expressions.
11-10 Simplifying Rational Expressions
11-1 Simplifying Rational Expressions
Textbooks
http://www.connected.mcgraw-hill.com/
http://www.pearsonsuccessnet.com/
Ways of Looking: Revisiting Concepts
W-GM – Graphic Mathematics
Making Connections
M-NG Numeric & Graphic Mathematics
4. Operate (add, subtract, multiply, and divide)
with and evaluate rational expressions.
6. Examine radical and rational functions, both
graphically and numerically, to determine
restrictions on the domain.
11-11 Multiplying and Dividing Rational
Expressions
11-2 Multiplying and Dividing Rational
Expressions
CCSS Video Lesson: Multiplying rational
expressions
CCSS Video Lesson: Dividing rational
expressions
Ways of Looking: Revisiting Concepts
W-SM Symbolic Mathematics
7. Perform polynomial arithmetic, including
adding, subtracting, multiplying, dividing,
factoring, and simplifying results.
11-12 Dividing Polynomials
11-3 Dividing Polynomials
CCSS Video Lesson: Long Division
Ways of Looking: Revisiting Concepts
W-GM – Graphic Mathematics
4. Operate (add, subtract, multiply, and divide)
with and evaluate rational expressions.
11-13 Adding and Subtracting Rational
Expressions
11-4 Adding and Subtracting Rational
Expressions
CCSS Video Lesson: Adding rational
expressions
Ways of Looking: Revisiting Concepts
W-GM – Graphic Mathematics
4. Operate (add, subtract, multiply, and divide)
with and evaluate rational expressions.
11-14 Mixed Expressions and Complex
Fractions
11-4 Adding and Subtracting Rational
Expressions
Subject to revision
McGraw-Hill Tennessee Bridge Math
TN Bridge Math Standards
Prentice Hall Algebra I

Define what a “rational”
expression is. What is an
“irrational” expression?
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
6 of 10
Curriculum and Instruction – Office of Mathematics
2nd Nine Weeks
TN State Standards
Bridge Math
Essential Understandings
Content & Tasks
CLIP Connections
Ways of Looking: Revisiting Concepts
W-SM Symbolic Mathematics
5. Skillfully manipulate formulas involving
exponents.
6. Understand how mathematical
properties yield equivalent equations
and can be used in determining if two
expressions are equivalent.
1-7 Distributive Property and Properties of
Exponents
1-7 The Distributive Property
7-1 Zero and Negative Exponents
7-3 Multiplying Powers With the Same Base
7-4 More Multiplication Properties of
Exponents
7-5 Division Properties of Exponents
Khan Academy: Distributive Property
In your own words, write down a step-bystep approach to using the distributive
property.
Ways of Looking: Revisiting Concepts
W-SM Symbolic Mathematics
A-AN Applications with Numbers
W-SM1. Operate with numbers expressed in
scientific notation.
W-SM5. Skillfully manipulate formulas
involving exponents.
W-SM6. Understand how mathematical
properties yield equivalent equations and can
be used in determining if two expressions are
equivalent.
A-AN. Solve problems using scientific
notation.
1-8 Exponents and Scientific Notation
7-2 Scientific Notation
Video Lesson: exponent-properties-involvingproducts
TI-84/Navigator Lesson
Answer the following questions:
What is an exponent?
What is the common mistake we make with
exponents?
Why is scientific notation useful or
necessary?
Textbooks
http://www.connected.mcgraw-hill.com/
http://www.pearsonsuccessnet.com/
Chapter 12: Quadratic Equations
Chapter 9: Quadratic Functions & Equations
Chapter 4: Quadratic Functions and Equations
(4 weeks for instruction, review, and assessment)
Ways of Looking: Revisiting Concepts
W-GM Graphic Mathematics
Ways of Looking: Revisiting Concepts
W-GM Graphic Mathematics
Subject to revision
2. Graph quadratic equations and identify key
characteristics of the graph.
2. Graph quadratic equations and
identify key characteristics of the graph.
McGraw-Hill Tennessee Bridge Math
12-1 Graph Parabolas
9-1 Quadratic Graphs and Their Properties
3-lesson unit on Quadratics
What are some of the real-life applications
of quadratic equations?
12-2 The General Quadratic Function
9-2 Quadratic Functions
3-lesson unit on Quadratics
TN Bridge Math Standards
Prentice Hall Algebra I
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
7 of 10
Curriculum and Instruction – Office of Mathematics
2nd Nine Weeks
TN State Standards
Bridge Math
Essential Understandings
Ways of Looking: Revisiting Concepts
W-GM Graphic Mathematics
3. Find the solution of a quadratic
equation and/or zeros of a quadratic
function.
Content & Tasks
CLIP Connections
12-3 Factor and Graph
9-3 Solving Quadratic Equations
9-4 Factoring to Solve Quadratic Equations
Textbooks
http://www.connected.mcgraw-hill.com/
http://www.pearsonsuccessnet.com/
Solving Quadratics
Ways of Looking: Revisiting Concepts
W-NM Numeric Mathematics
5. Develop fluency with the basic
operations of complex numbers.
12-4 Complex Numbers
4-8 Complex Numbers (Pearson Alg 2)
Lessons & Video on Complex Numbers
Ways of Looking: Revisiting Concepts
W-GM Graphic Mathematics
3. Find the solution of a quadratic
equation and/or zeros of a quadratic
function.
12-5 Completing the Square
9-5 Completing the Square
Quadratics and Completing the Square
Quadratics and Completing the Square Beta
Ways of Looking: Revisiting Concepts
W-GM Graphic Mathematics
3. Find the solution of a quadratic
equation and/or zeros of a quadratic
function.
12-6 The Quadratic Formula and the
Discriminant
9-6 The Quadratic Formula and the
Discriminant
The Discriminant & Roots
Making Connections
Symbolic & Numeric Mathematics
4. Evaluate polynomial and exponential
functions that use function notation.
Ways of Looking: Revisiting Concepts
W-GM Graphic Mathematics
Subject to revision
5. Operate (add, subtract, multiply,
divide, simplify, powers) with radicals &
radical expressions including radicands
McGraw-Hill Tennessee Bridge Math
12-7 Roots and Zeros
5-1 Polynomial Functions
5-2 Polynomials, Linear Factors, and Zeros
Polynomial Roots
Compare and contrast these three words:
Roots, zeros, and solutions
12-8A Square Root Functions
6-8 Graphing Radical Functions
What makes a function radical?
TN Bridge Math Standards
Prentice Hall Algebra I
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
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Curriculum and Instruction – Office of Mathematics
2nd Nine Weeks
TN State Standards
Essential Understandings
Making Connections
M-SV Symbolic & Verbal Mathematics
Subject to revision
Bridge Math
Content & Tasks
involving rationals and algebraic
expressions.
Graphing Radical Functions
2. Solve simple rational and radical
equations in one variable, noting and
explaining extraneous solutions.
12-9 Radical Equations
6-5 Solving Square Root and Other Radical
Equations
Radical Equations
McGraw-Hill Tennessee Bridge Math
TN Bridge Math Standards
Prentice Hall Algebra I
CLIP Connections
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
9 of 10
Curriculum and Instruction – Office of Mathematics
RESOURCE TOOLBOX
Textbook Resources
http://www.connected.mcgraw-hill.com/
http://www.pearsonsuccessnet.com/
InterActmath (Pearson)
Additional Sites
http://www.internet4classrooms.com/gateway_algebra.htm
Kuta Software- worksheet generator
Illuminations (NCTM)
Standards
Common Core Standards - Mathematics
Common Core Standards - Mathematics Appendix A
Tennessee State Standards
Tennessee’s Bridge Math Standards
TN Core
http://www.ccsstoolbox.org/
Common Core Lessons
www.learnzillion.com
Interactive Manipulatives
http://www.ilovemath.org/index.php?option=com_docman
http://www.mathopenref.com
SMARTboard Lessons
Videos
Brightstorm
Teacher Tube
The Futures Channel
Khan Academy
Math TV
Lamar University Tutorial
Shmoop - We Speak Students
Calculator
Math nspired
Texas Instrument Activities
Casio Activities
http://www.explorelearning.com
http://jc-schools.net/dynamic/math/math12.html
CLIP:
Literacy Skills and Strategies for Content Area Teachers
(Math, p. 22)
Glencoe- Reading and Writing in the Math Classroom
Graphic Organizers (9-12)
Graphic Organizers (dgelman)
Subject to revision
McGraw-Hill Tennessee Bridge Math
TN Bridge Math Standards
Prentice Hall Algebra I
Task in Math Task Folder C&I webpage
Shelby County Schools 2015/2016
Revised 9/24/15
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