Foundations of Math I Curriculum Map 2015-2016
Common Core Unit Name: Making Sense of Numbers
Unit Number: 1
Enduring Understanding:
Make sense of problems and persevere in solving them. Understand and use rational and irrational numbers, especially in the context of a given
situation.
Standard
7.NS.1
7.NS.2
7.NS.3
8.NS.1
8.NS.2
8.EE.1
N.VM.8
Essential Questions
7.NS.1 Can I apply and extend previous understandings of addition and
subtraction to add and subtract rational numbers and represent addition and
subtraction on a number line?
Pacing
Guideline
8 days
7.NS.2 Can I apply and extend previous understandings of multiplication
and division and of fractions to multiply and divide rational numbers?
7.NS.3 Can I solve real-world and mathematical problems involving the four
operations with rational numbers?
8.NS.1 Can I distinguish that numbers that are not rational are called
irrational and determine the decimal expansion of these numbers?
8.NS.2 Can I determine the approximate location of rational and irrational
numbers on the number line?
8.EE.1 Can I identify and apply the properties of integer exponents to
generate equivalent numerical expression?
N-VM.8 Can I perform adding and subtracting on matrices of appropriate
dimensions?
Key Academic
Vocabulary
- Real
- Rational
- Irrational
- Integers
- Whole
- Natural
- Fractions
- Simplify
- Absolute Value
- Number line
- Operations
- Repeating Decimal
- Terminating Decimal
- Square root
- Radical
- Evaluate
- Exponents
- Powers
- Order of Operations
- Matrix/ Matrix Dimensions
*Taught with and without a calculator. There should be some focus on mental math computation
in this unit.
Suggested Resources by Unit
Location of these resources
Math Goodies - Integers
http://www.mathgoodies.com/lessons/vol5/intro_integers.html
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Foundations of Math I Curriculum Map 2015-2016
Integer Addition and Subtraction – Walking on the Number Line
Rational and Irrational Numbers
http://maine.edc.org/file.php/1/tools/IntegerWalkNumLine2.html
http://www.regentsprep.org/Regents/math/ALGEBRA/AOP1/Lrat.htm
Rational and Irrational Numbers Game
http://www.math-play.com/rational-and-irrational-numbers-game/rationaland-irrational-numbers-game.html
KwizNet Online Quiz
http://www.kwiznet.com/p/takeQuiz.php?ChapterID=2377&CurriculumID=
40
Order of Operations Millionaire Game
http://www.math-play.com/Order-of-Operations-Millionaire/order-ofoperations-millionaire.html
Order of Operations Games
http://classroom.jc-schools.net/basic/math-order.html
Interactivate: Order of Operations Four
http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/
Prentice Hall Homework Video Tutor (Add/Subtract Matrices)
http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebC
ode&wcprefix=age&wcsuffix=0402
Common Core Unit Name: Expressions and Equations
Unit Number: 2
Enduring Understanding:
Write and evaluate algebraic expressions. Solve equations in one variable. Determine the process for solving and be able to justify with properties.
Standard
Essential Questions
Pacing
Guideline
Key Academic Vocabulary
A.SSE.1.a
A-SSE.1.a Can I interpret parts of an expression?
10 days
- Properties of Equality/Distributive/Closure
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Foundations of Math I Curriculum Map 2015-2016
A.SSE.1.b
A.SSE.2
A.REI.1
A.CED.1
A.CED.4
7.EE.1
7.EE.4.a
7.G.5
8.EE.7.a
8.EE.7.b
6.EE.8
A-SSE.1.b Can I interpret parts of an expression to reveal an
underlying structure or function?
A-SSE.2 Can I rewrite algebraic expressions by combining like
terms?
A-REI.1 Can I use mathematical properties to justify my solution?
- Algebraic Equation
- Mathematic Expression
- Expressions
- Inequality
- Like Terms
- Literal Equation/Formula
- Solution/Solve Equation
- Variable
- Verbal Expression
A-CED.1 Can I write equations and inequalities from given context?
A-CED.4. Can I solve literal equations for any given variable?
7.EE.1 Can I apply properties of operations as strategies to add,
subtract, factor, and expand linear expressions with rational
coefficients?
7.EE.4.a Can I write and solve an equation given a word problem?
7.G.5 Can I use facts about supplementary, complementary,
vertical, and adjacent angles in a multi-step problem to write and
solve simple equations for an unknown angle in a figure?
8.EE.7.a Can I give examples of linear equations in one variable with
one solution, infinitely many solutions, or no solutions?
8.EE.7.b Can I solve linear equations with rational number
coefficients, including equations whose solutions require expanding
expressions using the distributive property and collecting like terms?
6.EE.8 Can I write an inequality for a real-world or mathematical
problem and represent the solution on a number line?
Suggested Resources by Unit
Location of these resources
Expressions Task
http://insidemathematics.org/index.php/tools-for-teachers/course-1algebra/mars-tasks-scoring-rubrics-a-analysis
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Foundations of Math I Curriculum Map 2015-2016
Chapter: Solving Equations/Section:Modeling
http://hotmath.com/help/gt/genericprealg/section_4_3.html
Algebraic Translations
http://www.regentsprep.org/Regents/math/ALGEBRA/AE1/indexAE1.htm
Numbers Task
http://insidemathematics.org/index.php/tools-for-teachers/course-2geometry/mars-tasks-scoring-rubrics-a-analysis
One-Step Equation Game
http://www.math-play.com/One-Step-Equation-Game.html
Common Core Unit Name:
Unit Number: 3
Linear Relationships and Functions
Enduring Understanding:
Analyze linear functions using different representations. Build new functions from existing functions. Interpret expressions for functions in terms of the
situations they represent. By modeling, looking for repetition, and using appropriate tools, students will reason abstractly and quantitatively.
Standard
A-CED.1
A-CED.2
A-CED.3
F-IF.1
F-IF.2
F-IF.4
F-IF.5
F-IF.6
F-IF.7.a
F-IF.9
F-BF.1.b
F-LE.1.a
Essential Questions
A-CED.1 Can I write equations and inequalities from given context?
A-CED.2 Can I write and graph equations in two or more variables?
A-CED.3 Can I define constraints on an equation or inequality? Can I
determine if my solution is applicable to the given context?
A-SSE.1b Can I interpret parts of an expression to reveal its underlying
structure as a linear function?
F-IF.1 Can I define the domain and range of a function?
F-IF.2 Can I evaluate functions written in function notation?
Pacing
Guideline
Key Academic
Vocabulary
12 days
- Domain and Range
- Rate of Change/Slope
- Parent Function
- Function
- Function Notation/Rule
- Intercepts
- Slope
- Slope-Intercept
- End Behavior
- Linear
- Transformation
- Constant
- Table
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Foundations of Math I Curriculum Map 2015-2016
F-LE.1.b
F-LE.2
G-GPE.5
F-IF.4 Can I find the rate of change and intercepts of linear functions and
interpret?
- Solution Set
- Constraints
F-IF.5 Can I determine the appropriate domain and range in a real world
situation?
F-IF.6 Can I calculate and interpret the rate of change?
F-IF.7.a Can I graph linear functions?
F-IF.9 Can I compare two functions that are represented differently (algebraic,
graphical, tabular, verbal)?
F-BF.1.b Can I describe the effects of adding or subtracting a constant or a
linear function to another linear function?
F-LE.1.a Can I prove that a function can be represented linearly?
F-LE.1.b Can I recognize a constant rate of change among two quantities
(linear)?
F-LE.2 Can I choose the correct type of function and produce a linear function if
given appropriate different representations?
G-GPE.5 Can I write equations of parallel and perpendicular lines?
Suggested Resources by Unit
Location of these resources
Matching a Graph to a Story
http://map.mathshell.org/materials/download.php?fileid=667
The Cog Railway Task
http://insidemathematics.org/index.php/tools-for-teachers/8th-grademath/mars-tasks-scoring-rubrics-a-analysis
Algebra vs Cockroaches (Writing Linear Equations)
http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf
Classroom Jeopardy (Writing Linear Equations)
http://www.superteachertools.com/jeopardy/usergames/Apr201017/27/ga
me1272422988.php
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Foundations of Math I Curriculum Map 2015-2016
Mathisfun.com Mathopolis (Linear Equations)
http://www.mathsisfun.com/algebra/linear-equations.html
Graphing Linear Equations
http://www.math.com/school/subject2/lessons/S2U4L3GL.html
Slope-Intercept Form Game
http://www.math-play.com/slope-intercept-game.html
Common Core Unit Name: Geometry with Algebra and Proportionality
Unit Number: 4
Enduring Understanding:
Understand basic geometrical terms and formulas. Use the appropriate properties of lines to solve for unknowns algebraically. Also, understand
similarity and proportionality between two-dimensional figures.
Standard
G-CO.1
G-GPE.4
G-GPE.5
G-GPE.6
G-GPE.7
G-GMD.1
G-GMD.3
8-G.2
8-G.4
G-SRT.2
G-SRT.8
Essential Questions
G-CO.1 Can I give the definitions of angle, circle, perpendicular line,
parallel line, and line segment?
G-GPE.4 Can I use coordinates to find slope and distance to determine the
specific properties of a figure?
G-GPE.5 Can I write equations of parallel and perpendicular lines?
G-GPE.6 Can I find the midpoint, endpoint and distance of a line segment?
G-GPE.7 Can I find the perimeter of a polygon and the areas of triangles
and rectangles?
G-GMD.1 Can I describe the parts of formulas for area and circumference
of circles, and volume of cylinders, pyramids and cones?
Pacing
Guideline
12 days
Key Academic Vocabulary















Angle
Circle
Line Segment
Slope
Perimeter/Area/Volume
Circumference
Radius
Diameter
Polygons (Triangle/Rectangle/Parallelogram)
Distance/Midpoint/Endpoint
Surface Area (Cylinder/Cone/Sphere/Pyramid)
Similar Figures
Proportions/Proportionality
Corresponding Parts
Pythagorean Theorem
G-GMD.3 Can I use the volume formulas for cylinders, pyramids, cones and
spheres?
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Foundations of Math I Curriculum Map 2015-2016
8-G.2 Can I (proportionally) understand and prove that one two-dimensional
figure is congruent to another?
8-G.4 Can I (proportionally) understand and prove that one two-dimensional
figure is similar to another?
G.SRT.2 Can I understand and explain similarity by the equality of all
corresponding pairs of angles and the proportionality of all corresponding
pairs of sides?
G-SRT.8 Can I use the Pythagorean theorem to solve right triangles,
including those in application problems?
Suggested Resources by Unit
Location of these resources
Finding Equations of Parallel and Perpendicular Lines
http://map.mathshell.org/materials/download.php?fileid=703
Where’s Waldo?
http://www.geogebra.org/en/upload/files/UC_MAT/Holly%20Phelps/Where
_s_Waldo.html
Solving Equations Involving Parallel and Perpendicular Lines
http://www.beaconlearningcenter.com/documents/1750_01.pdf
Midpoint and Distance
http://www.pdesas.org/module/content/resources/21070/view.ashx
Midpoint and Distance
http://www.ilovemath.org/index.php?option=com_docman&task=cat_view
&gid=55&limit=10&limitstart=0&order=name&dir=ASC
Similar Triangles Puzzles
http://www.media.pearson.com.au/schools/cw/au_sch_afonso_mfwa3_2/d
nd/4_sim_tr.html
Similar/Congruent Figures
http://www.harcourtschool.com/activity/similar_congruent/
Perimeter and Area of Polygons
http://www.mathgoodies.com/lessons/toc_vol1.html
Chapter 9: Areas and Volumes
http://hotmath.com/help/gt/genericprealg/index.html?chapter=9&section=7
Pythagorean Theorem Game
http://www.math-play.com/Pythagorean-Theorem-Game.html
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Foundations of Math I Curriculum Map 2015-2016
Measuring Figures (Area, Perimeter, Volume)
http://www.worksheetworks.com/math/geometry/measuring-figures.html
Common Core Unit Name: Linear Systems
Unit Number: 5
Enduring Understanding:
Solve systems of equations and inequalities algebraically and graphically. Apply the appropriate tools of technology to analyze representations and
relate them to real world problems. Use models to construct practical arguments to verify solutions make sense in the context of the problem.
Standard
A-CED.3
A-REI.3
A-REI.5
A-REI.6
A-REI.10
A-REI.11
A-REI.12
Essential Questions
Pacing
Guideline
A-CED.3 Can I define constraints on a system of equations or
inequalities? Can I determine if my solution is applicable to the
given context?
A-REI.3 Can I solve a linear equation or inequality?
A-REI.5 Can I prove the two equations in two variables will yield
the same solution?
10 days
Key Academic Vocabulary
- No Solution/Inconsistent
- Infinitely Many Solutions/Consistent & Dependent
- Elimination Method
- Linear Inequality
- Substitution Method
- Matrix
- Constraints
- Approximate Solutions
- Exact Solutions
A-REI.6 Can I find an exact or approximate solution to systems
of linear equations?
A-REI.10 Can I understand all solutions of equations of two
variables are contained on the graph of that equation?
A-REI.11 Can I use various models to solve a system of two or
more equations in two variables?
A-REI.12 Can I graph linear inequalities and systems of linear
inequalities?
Suggested Resources by Unit
Location of these resources
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Foundations of Math I Curriculum Map 2015-2016
The Cycle Shop Task
http://schools.nyc.gov/NR/rdonlyres/0D9AA86E-F601-4F26-9598CF57C4FA7CAB/0/NYCDOEHSAlgebraTheCycleShop_Final.pdf
Solving Systems of Linear Equations in Two Variables
http://map.mathshell.org/materials/download.php?fileid=669
Linear Inequalities
http://www.mathwarehouse.com/algebra/linear_equation/linearinequality.php
Systems of Linear Inequalities
http://www.mathwarehouse.com/algebra/linear_equation/systems-ofequation/system-linear-inequality.php
Systems of Linear Equations
http://www.mathwarehouse.com/algebra/linear_equation/systems-ofequation/index.php
Solving Systems of Linear Equations in Two Variables
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_
alg_tut49_systwo.htm
Common Core Unit Name: Statistics and Data Analysis
Unit Number: 6
Enduring Understanding:
Analyze and represent data in one and two variables by using appropriate tools of technology. Interpret the meaning of various models for sets of data
and be able to justify conclusions and precisely communicate with others about the data.
Standard
S-ID.1
S-ID.2
S-ID.3
S-ID.5
S-ID.6
S-ID.8
S-ID.9
Essential Questions
S-ID.1: Can I represent data using dot plots, histograms, and box plots?
S-ID.2: Can I appropriately use data distribution to compare and contrast
two or more sets of data?
S-ID.3: Can I explain the differences between data sets?
Pacing
Guideline
8 days
Key Academic Vocabulary







Histogram
Box & Whisker Plot
Line Plot
Correlation
Causation
Regression
Best Fit
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Foundations of Math I Curriculum Map 2015-2016





S-ID.5: Can I distinguish trends in data?
S-ID.6 Can I represent two quantitative variables on a scatter plot and tell
how they are correlated to each other and also fit a function to the data?
S-ID.8: Can I use my technology to figure and interpret linear models?
Measures of Central Tendency
Measures of Variation
Scatter/Dot Plot
Predict/Estimate
Matrix
S-ID.9: Can I determine correlation and causation between the variables in
a data set?
Suggested Resources by Unit
Location of these resources
Colors Challenge!!
http://www.amstat.org/education/stew/pdfs/ColorsChallenge.pdf
Linear Modeling
http://faculty.uscupstate.edu/mulmer/LinearModelingI.PDF
Using NBA Statistics for Box and Whisker Plots
http://illuminations.nctm.org/LessonDetail.aspx?ID=L737
A “Dice-y” Histogram
http://www.teacherlink.org/content/math/activities/gc-dice/guide.html
Displaying Data
http://www.regentsprep.org/Regents/math/ALGEBRA/AD3/indexAD3.htm
Statistics Standards
http://map.mathshell.org/materials/stds.php?id=1233
Common Core Unit Name: Polynomials
Unit Number: 7
Enduring Understanding:
Apply rules for rational exponents and perform polynomial operations. Distinguish the properties of quadratic functions and apply a factoring method to
solve equivalent forms of the same equation. Look for significant structure and use repeated reasoning to precisely manipulate polynomials.
Standard
N-RN.1
A-SSE.2
A-SSE.3.a
Essential Questions
N-RN.1 Can I apply the properties of exponents to simplify
expressions containing rational exponents?
Pacing Guideline
12 days
Key Academic Vocabulary
- Properties of Exponents
- Rational Expressions/Equations
- Polynomial (Mono-, Bi-, Tri-)
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Foundations of Math I Curriculum Map 2015-2016
A-APR.1
F-IF.8.a
A-SSE.2 Can I simplify expressions and recognize equivalent
forms of the same expression?
A-SSE.3a and F-IF.8.a Can I factor quadratic expressions?
A-APR1. Can I add, subtract and multiply polynomials?
- Quadratic
- Rational Exponent
- Base
- Degree
- Factor vs. Factor (noun vs. verb)
- Greatest Common Factor
- FOIL Method
- Grouping
- Squares
- A-C Method
Suggested Resources by Unit
Location of these resources
Battleship for Polynomials (Adding and Subtracting)
http://www.quia.com/ba/28820.html
Polynomials Review
http://teachers.henrico.k12.va.us/math/hcpsalgebra1/module7review.htm
l
http://www.regentsprep.org/Regents/math/ALGEBRA/AV6/indexAV6.htm
Factoring
Multiplying Binomials (FOIL)
http://www.phschool.com/atschool/academy123/english/academy123_conte
nt/wl-book-demo/ph-138s.html
Exam View Quiz Multiplying
http://teachers.henrico.k12.va.us/math/hcpsalgebra1/Documents/examvieww
eb/ev7-7.htm
Exam View Quiz (Monomial by a Polynomial)
http://teachers.henrico.k12.va.us/math/hcpsalgebra1/Documents/76/multmonopolyn.htm
KhanAcademy (Adding Polynomials)
http://www.khanacademy.org/math/algebra/polynomials/polynomial_basics/
v/adding-polynomials
How to Add and Subtract Polynomials
http://www.mathwarehouse.com/algebra/polynomial/how-to-add-subtractpolynomials.php
Polynomials (worksheet generator)
http://www.worksheetworks.com/math/algebra/polynomials.html
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Foundations of Math I Curriculum Map 2015-2016
Pre-Algebra Worksheet Generator
http://www.worksheetworks.com/math/pre-algebra.html
Common Core Unit Name: Non-Linear Functions
Unit Number: 8
Enduring Understanding:
Investigate the graphs and equations of non-linear functions, namely quadratic and exponential. Describing number patterns with arithmetic and
geometric sequences. Exploring exponential growth and decay by modeling real world situations.
Standard
A-SSE.1a
A-SSE.1b
A-SSE.3a
A-CED.1
A-CED.2
F-IF.3
F-IF.7a
F-IF.7e
F-IF.9
F-BF.3
8-F.5
F-LE.1a
Essential Questions
A-SSE.1a. Can I identify the parts of a quadratic polynomial?
A-SSE.1b Can I interpret parts of an expression to reveal its underlying
structure as a quadratic function?
A-SSE.3a Can I factor quadratic polynomials and find the zeros of the
function from the factors?
A-CED.1 Can I write equations in one variable and use them to solve
problems arising from linear, quadratic, and exponential functions?
A-CED.2 Can I write and graph quadratic equations to model the
relationship between two quantities?
Pacing
Guideline
10 days
Key Academic Vocabulary












Solution/X-Intercept
Maxima and Minima
Axis/Line of Symmetry
Parabola
Vertex
Quadratic
Transformation
Parent Function
Approximate/Exact Solution
Exponential
Exponential Growth
Exponential Decay
F-IF.3 Can I recognize the sequences such as the Fibonacci sequence are
also functions?
F-IF.7a. Can I graph quadratic functions? Can I identify the intercepts,
maxima, and minima?
F-IF.7e. Can I graph exponential functions and identify the intercepts?
F-IF.9 Can I compare two quadratic functions that are represented
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Foundations of Math I Curriculum Map 2015-2016
differently (algebraic, graphical, tabular, verbal)?
F-BF.3 Can I describe the transformation of a graph when an arithmetic
operation is introduced to the parent function?
8-F.5 Can I identify the relationship between linear or nonlinear sets of
data?
F-LE.1a Can I make the distinction that linear functions grow by equal
differences over equal intervals, and on the contrary exponential functions
grow by equal factors over equal intervals?
Suggested Resources by Unit
Location of these resources
Quadratic Functions
http://math.about.com/od/algebra1help/a/Quadratic_Formula.htm
Quadratic Equations
http://www.regentsprep.org/Regents/math/ALGEBRA/AE5/indexAE5.htm
Finding the Vertex of a Quadratic Function
http://www.google.com/cse?q=math.uakron.edu&hl=en&ie=UTF-8&cx=partnerpub0319093145577670%3A0301174858&sa=Google+search#gsc.tab=0&gsc.q=www
.math.uakron.edu%2Famc%2F...%2FFindingVertexQuadraticEquation_Nspire.DO
C
Prentice Hall Homework Video Tutor
http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebC
ode&wcprefix=age&wcsuffix=0801
Generic Resources for All Units
Suggested Resources by Unit
Location of these resources
Textbook and Resources
Prentice Hall Algebra I/Presentation Pro
Infinte Algebra (Kuta Software)
http://www.kutasoftware.com
Illuminations: Resources for Teaching Math
http://illuminations.nctm.org/
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Foundations of Math I Curriculum Map 2015-2016
ClassScape
http://www.classscape.org
Common Core Standards Resources
http://www.livebinders.com/play/play/187117
Open Educational Resources
http://www.oercommons.org
Khan Academy
http://www.khanacademy.org
I Love Math
http://www.ilovemath.org
Utah Education Network
http://www.uen.org/core/core.do?courseNum=5600
Illustrative Mathematics Content Standards for Specific Problem
Examples
http://illustrativemathematics.org/standards/hs
Tasks, Units, and Student Work
http://schools.nyc.gov/Academics/CommonCoreLibrary/TasksUnitsStuden
tWork/default.htm
WolframAlpha
http://www.wolframalpha.com/
Math TV
http://www.mathtv.com/videos_by_topic
IXL: Guided Practice (Good replacement for Study Island)
http://www.ixl.com/math/standards/north-carolina/high-school
Basic Mathematics
http://www.basic-mathematics.com/
Purple Math
http://www.purplemath.com/index.htm
Hot Math
http://hotmath.com/help/gt/genericprealg/index.html?chapter=9&section=7
Regents Exam Prep Center
http://www.regentsprep.org/Regents/math/ALGEBRA/mathALGEBRA.htm
BrainFlips Online Flashcards
http://www.brainflips.com
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Foundations of Math I Curriculum Map 2015-2016
Worksheet Generator
http://www.worksheetworks.com
15