Mathematics Pacing Resource Document

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Mathematics Pacing Resource Document
Algebra II – (Algebra 1 Linear Functions, Inequalities, and Functions Strand)
Standard:
AI.L.1: Understand that the steps taken when solving linear equations create new equations that have the same solution as
the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as
coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has
a solution. Justify the choice of a solution method.
I can :
Understand the steps involved to solve a linear equations
Create multiple equations that have the same solutions
Solve fluently linear equations and inequalities in one variable with integers, fractions and decimals as coefficients.
Explain/justify each step to solve a linear equations in one variable.
Lesson Plans/Print Activities:
Web-based Practice:
Algebra I Standard
http://www.teachertube.com/video/237084
Standard Algebra I - Glencoe McGraw-Hill Textbook
This is a video over two step equations. There are two problems in
Section. 2.2 – Solving One-Step Equations and Inequalities
Section 2.3 – Solving Multi-Step Equations and Inequalities
Section 2.4 – Solving Equations with Variables on Each Side
Section 2.6 – Basic Ratios and Proportions within Equations
Honors Algebra I – McDougal Littell Textbook
Section 3.1 – Solve One Step Equations
Section 3.2 – Solving Two-Step Equations
Section 3.3 – Solving Multi-Step Equations
Section 3.4 – Solving Equations with Variables on Both Sides
Indianapolis Public Schools
the video. ( 2x + 14 = 10 and
w
5
6
7)
http://www.teachertube.com/video/296922
This is a video over solving inequalities with a negative coefficient.
The video is over 10 minutes long
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – (Algebra 1 Linear Functions, Inequalities, and Functions Strand)
Standard:
AI.L.9: Solve absolute value linear equations in one variable.
I can:
Solve absolute value equations in one variable.
Lesson Plans/Print Activities:
Web-based Practice:
Algebra I Standard and Resources
Khan Academy:
Standard Algebra I - Glencoe McGraw-Hill Textbook
https://www.khanacademy.org/math/algebra/solving-linear-equationsand-inequalities/absolute-value-equations/v/absolute-value-equations
Section 2.5 Solving Equations Involving Absolute Value
Honors Algebra I – McDougal Littell Textbook
Section 6.5 Solve Absolute Value Equations
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Data Analysis, Statistics, and Probability Strand
Standard:
AII.DSP.2: Use technology to find a linear, quadratic, or exponential function that models a relationship for a bivariate data set
to make predictions; compute (using technology) and interpret the correlation coefficient.
I can:
Use technology to model linear, quadratic and exponential functions from sets of data.
Make predictions based on a given set of data.
Compute and interpret the correlation coefficient.
Lesson Plans/Print Activities:
Web-based Practice:
Khan Academy Videos on Regression
https://www.khanacademy.org/math/probability/regression
Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 2-5 Scatter Plots and Lines of Regression ( include page 99)
H.O.T. problems 12,15
Ilumina Module on functions defined by data
https://www.math.duke.edu//education/ccp/materials/precalc/fundata/
contents.html
Honors Algebra II – McDougal Littell Textbook
Material not covered in Quarter 1
Stat Trek (Linear Correlation Tutorial)
http://stattrek.com/statistics/correlation.aspx
Statistics How to: Correlation Coefficient tutorial
http://www.statisticshowto.com/how-to-compute-pearsons-correlationcoefficients/
Correlation Calculator http://www.socscistatistics.com/tests/pearson/
Pearson Videos on modeling data with linear, quadratic or exponential
functions
http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.got
oWebCode&wcprefix=ate&wcsuffix=1008
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Regents Worksheet on fitting a curve to data
http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee
tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.6.Regres
sion.pdf
Regents Linear Correlation
http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee
tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.7.LinearR
egression.pdf
Regents Exponential Correlation
http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee
tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.7.Expone
ntialRegression.pdf
Regents Correlation Coefficient
http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/Workshee
tsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.8.Correla
tionCoefficient.pdf
Regents Worksheet
http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/GRAPHS
_AND_STATISTICS/Drills/PR_Correlation_Coefficient.pdf
TI 83/84 instructions for correlation
http://facstaff.columbusstate.edu/almada_carlos/Courses/Math%20110
1/Scatter%20Plot_%20Correlation_%20and%20Regression%20on%20the
%20TI-83-84.pdf
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Functions Strand
Standard:
AII.F.1: Determine whether a relation represented by a table, graph, or equation is a function.
I can:
Determine if a relation represented by a table is a function.
Determine if a relation represented by a graph is a function.
Determine if a relation represented by an equation is a function.
Lesson Plans/Print Activities:
Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 2.1 Relations and Functions
Example 1 and CYP page 69, Real-World page 64 #7, page 65
#14
Honors Algebra II – McDougal Littell Textbook
Section 2.1 Equations of Lines
Examples 1,2, Guided Practice #4,#5, Real-World Example # 3
Indianapolis Public Schools
Web-based Practice:
Purple Math Function versus Relation:
http://www.purplemath.com/modules/fcns.htm
Math is Fun http://www.mathsisfun.com/sets/function.html
Weierstrass functions are famous for being continuous
everywhere, but differentiable "nowhere". Here is an example
of one:
http://www.math.washington.edu/~conroy/general/weierstrass/weier.h
tm
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Functions Strand
Standard:
AII.F.5: Describe the effect on the graph of f(x) by replacing f(x) with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k
(both positive and negative) with and without technology. Find the value of k given the graph of f(x) and the graph of f(x) + k,
k f(x), f(kx), or f(x + k).
I can:
Describe the transformations and translations of a parent function.
Translate a parent function both vertically and horizontally for a given value.
Stretch or shrink a parent function vertically and horizontally for a given value.
Lesson Plans/Print Activities:
Web-based Practice:
Wolfram Widget (Graphs and transforms monomials of any degree.)
Standard Algebra II - Glencoe McGraw-Hill Textbook
http://www.wolframalpha.com/widgets/view.jsp?id=a8c77e7e085e9b9
d8cf080a1a00583ab
Section 2-7 Parent Functions and Transformations
Examples 2, 3, 4; Exercises #14-31, 41, 42
Purple Math Tutorial:
Real-World exercises #9, #40
http://www.purplemath.com/modules/fcntrans.htm
Transformations of specific functions are also introduced when the graphs for
each function are introduced. Revisit accordingly.
Math Is Fun: http://www.mathsisfun.com/sets/functiontransformations.html
Honors Algebra II – McDougal Littell Textbook
Activity Worksheet on basic transformations:
http://spot.pcc.edu/~chughes/math%20111/111,PCC,section1,5.pdf
Section 2-7 Absolute Value Functions and Transformations
Exploring transformations TI activity pages 121-122
Examples #1, 2, 3, 5 plus guided practice and extra examples
in margin, Real-World exercises #36, 37, 39, 40
Match the graphs with the functions:
http://departments.jordandistrict.org/curriculum/mathematics/seconda
ry/impact/Algebra%20II/Ready%20for%20web%20site/zTransformation
MatchingGame.pdf
Transformations of specific functions are also introduced when the graphs for
each function are introduced. Revisit accordingly.
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Graph new functions on same graph activity:
http://www.teacherspayteachers.com/Product/FunctionTransformations-Sort-and-Graph-Activity-401822
Quick Worksheet on transformations of absolute value and square
functions:
http://www.lsrhs.net/departments/mathematics/DoreyB/Alg2013/Q4/g
raph%20shifting%20wksht.pdf
Online Math Learning. Videos on transformations:
http://www.onlinemathlearning.com/transformation-graphs.html
Transformations Jeopardy Game:
http://www.superteachertools.com/jeopardy/usergames/May201117/gam
e1304274152.php
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.PR.1: Solve real-world and other mathematical problems involving polynomial equations with and without
technology. Interpret the solutions and determine whether the solutions are reasonable.
I can:
Solve real-world problems involving polynomial equations with and with technology.
Interpret the solution and determine the reasonableness.
Lesson Plans/Print Activities:
Web-based Practice:
Regents Prep problems
Standard Algebra II - Glencoe McGraw-Hill Textbook
http://www.regentsprep.org/regents/math/algebra/av3/papply.htm
Section 2.4 Writing Linear Equations
Real-World problems #34,35
Monterey Institute Tutorial on Solving Problems with Polynomials
http://www.montereyinstitute.org/courses/Algebra1/COURSE_TEXT_RE
SOURCE/U08_L2_T1_text_container.html
Honors Algebra II – McDougal Littell Textbook
Section 2.4 Write Equations of Lines
Real-World problems #52,53
Indianapolis Public Schools
Worksheet on finding perimeter and area
http://www.laicharter.org/apps/download/YJOUqg92GSBWmIaKusfh5c
ASoPipYcEq6iwLLR2WnhTSbZIi.pdf/Polynomial%20Word%20Problems%
20Worksheet.pdf
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II– Polynomial, Rational, and Other Functions and Equations Strand
Standard:
AII.PR.2: Graph relations and functions including polynomial, square root, and piecewise-defined functions (including step
functions and absolute value functions) with and without technology. Identify and describe features, such as intercepts,
zeros, domain and range, end behavior, and lines of symmetry.
I can:
Graph relations and functions including polynomial, square root, piecewise, step and absolute value functions with and without technology.
Describe features of the graph such as x- and y-intercepts, zeros, domain and range, end behavior and lines of symmetry.
Lesson Plans/Print Activities:
Web-based Practice:
Tutorial on Graphing Polynomials
Standard Algebra II - Glencoe McGraw-Hill Textbook
http://tutorial.math.lamar.edu/Classes/Alg/GraphingPolynomials.aspx
Section 2.1 Relations and Functions
Section 2.2 Linear Relations and Functions
Section 2.6 Special Functions
Examples #1, 2 plus CYP (Piecewise Functions)
Example #3 plus CYP (Step Function)
Example #4 plus CYP (Absolute Function)
Real-World Exercises #30 (piecewise);# 5, #32 (step); #31
(Absolute) pages 104 and 105
Section 2.7 Parent Functions and Transformations
Honors Algebra II – McDougal Littell Textbook
Section 2.1 Equations of Lines (Slope and Graphing)
Section 2.4 page 98 Graphing Calculator Activity
Section 2.7 Absolute Value Functions
Extension on Piecewise pages 130 and 131
Example #1, 2, 3 plus practice# 1-7 pages 130 and 131
Indianapolis Public Schools
Math is Fun on Polynomial Behavior
http://www.mathsisfun.com/algebra/polynomials-behave.html
Math Portal online grapher
http://www.mathportal.org/calculators/polynomialssolvers/polynomial-graphing-calculator.php
Khan Academy
http://www.khanacademy.org/math/algebra2/polynomial_and_rational
/polynomial-end-behavior/v/polynomial-end-behavior
Graphing Polynomial Functions
http://mrloiselsclassroom.weebly.com/uploads/9/0/4/4/9044748/honor
s_algebra_2_-_graphing_polynomial_functions.pdf
Curriculum and Instruction
Mathematics Pacing Resource Document
Transformation Activity pages 121-122, plus practice #2-10.
Examples# 1, 2, 3 and Guided Practice pages 124-125
TI 83/84 Graphing Activity
http://education.ti.com/en/us/activity/detail?id=37042B8F036C410C91
693D1652B7EC9E
NCTM Illuminations (Activity where students explore graphs of various
polynomials) http://illuminations.nctm.org/Lesson.aspx?id=1091
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Quadratic Equations and Functions Strand
Standard:
AII.Q.2: Use completing the square to rewrite quadratic functions into the form y = a(x + h)^2 + k, and graph these functions
with and without technology. Identify intercepts, zeros, domain and range, and lines of symmetry. Understand the
relationship between completing the square and the quadratic formula.
I can:
Rewrite a quadratic function into vertex form (y = a(x + h)^2 + k) by completing the square.
Graph quadratic functions with and without technology.
Identify the features of the graph such as the intercepts, zeros, domain and range, and lines of symmetry.
Understand the relationship between completing the square and the quadratic formula.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Algebra II - Glencoe McGraw-Hill Textbook
Not Covered in first quarter
Honors Algebra II – McDougal Littell Textbook
Section 4.2 Graph Quadratic Functions in Vertex or Intercept Form
Real-World p. 250 #51,53,55
Purple Math Tutorial:
http://www.purplemath.com/modules/sqrvertx.htm
Khan Academy Example:
https://www.khanacademy.org/math/algebra/quadratics/completing_t
he_square/v/ex3-completing-the-square
Virtual Nerd: http://www.virtualnerd.com/algebra-2/quadratics/solveby-completing-square-roots/complete-square/completing-squareconvert-standard-to-vertex
Algebra.Com Calculator:
http://www.algebra.com/algebra/homework/Polynomials-and-rationalexpressions/completing-the-square.solver
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Wolfram Calculator:
http://www.wolframalpha.com/widgets/view.jsp?id=46bdcb86605346b
3d4d4ec68d8362811
Step by Step:
http://www.mesacc.edu/~scotz47781/mat120/notes/graph_quads/vert
ex_form/graph_quads_vertex_form.html
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Systems of Equation Strand
Standard:
AII.SE.2: Solve systems of two or three linear equations in two or three variables algebraically and using technology.
I can:
Solve a system of two equations with two variables algebraically and using technology.
Solve a system of three equations with three variables algebraically and using technology.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 3.1 Solving Systems of Equations by Graphing(including p. 142)
Graphing examples 1,2 plus CYP; exercises #1-8, 13-22;
Real-World Example #3, page 136 plus CYP, Exercise #9
Section 3.2 Solving Systems of Equations Algebraically
Algebraically Example 2 plus CYP for example 1 (Substitution)
and example #2 page 144. Real-World example #1 page 143;
Exercises #1, 27
Section 3.5 Systems of Equations in Three Variables
Three Variable page 167-170 Example #1, 2; CYP and Margin
Example. Infinite Solutions and no Solutions. Real-World
example #3 page 170. Real-World Exercise #20.
Wolfram Calculator solves and graphs systems (linear, non-linear and
multiple variable):
http://www.wolframalpha.com/widgets/view.jsp?id=5152e780160da6d
e837938de237d7b82
Khan Academy Videos on Systems in three variables:
https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancie
r_systems_precalc/v/systems-of-three-variables
Pearson Videos:
http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.go
toWebCode&wcprefix=age&wcsuffix=0306
Worksheet for three variable systems:
http://www.jmap.org/StaticFiles/PDFFILES/IA_Enrichment_Activities/IA1
0-6_Systems_with_Three_Variables.pdf
Honors Algebra II – McDougal Littell Textbook
Sections 3.1 Solving Linear Systems by Graphing
Graphing Solve using table activity page 152; Examples # 1, 2,
3 plus guided practice; Real World Example # 4 page 154,
# 35, 36, use TI84; Graph Systems Lab page 159
Indianapolis Public Schools
Worksheet for three variable systems:
http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/SYSTEM
S/Drills/PR_Linear_Systems_in_Three_Dimensions.pdf
Curriculum and Instruction
Mathematics Pacing Resource Document
Section 3.2 Solve Linear Systems Algebraically
Algebraically Example # 1, 2 plus guided practice, Example 4
(Infinite or No Solution) Real World Example 3, Exercises # 55,
56.
Section 3.4 Solve Systems of Linear Equations in Three Variables
Three Variable Example #1, 2, 3 plus guided practice. RealWorld Example # 4 page 181; Chapter Exercises #42 page 184.
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Algebra II – Systems of Equations Strand
Standard:
AII.SE.3: Represent real-world problems using a system of linear equations in three variables and solve such problems with
and without technology. Interpret the solution and determine whether it is reasonable.
I can:
Use system of three equations with three variables to solve real-world problems with and without technology.
Interpret the solutions and determine whether it is reasonable.
Lesson Plans/Print Activities:
Web-based Practice:
Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 3.1 Solving Systems of Equations by Graphing
Graphing Real World Example #3, page 136 plus CYP, Exercise
#9
Section 3.2 Solving Systems of Equations Algebraically
Algebraically Real World example #1 page 143; Exercises #1,
27
Section 3.5 Systems of Equations in three Variables
Three Variable Real World example #3 page 170. Real World
Exercise #20.
Honors Algebra II – McDougal Littell Textbook
Purple Math Systems word problems:
http://www.purplemath.com/modules/systprob.htm
Algebra Lab Online Word Problems with a check answer button:
http://www.algebralab.org/practice/practice.aspx?file=Word_Applicatio
nProblemFor3EquationsWith3Variables.xml
Brain Genie: http://braingenie.ck12.org/skills/106763
Tutorial Example: http://www.sosmath.com/soe/SE3/SE3.html
Khan Academy Example:
http://www.khanacademy.org/math/algebra/systems-of-eq-andineq/systems-word-problems/v/algebraic-word-problem
Section 3.1 Solving Linear Systems by Graphing
Graphing Real World Example #4 page 154, exercises #35, 36,
use TI84; Graph Systems Lab page 159
Section 3.2 Solve Linear Systems Algebraically
Algebraically Real World Example #3, Exercises #55, 56.
Indianapolis Public Schools
Curriculum and Instruction
Mathematics Pacing Resource Document
Section 3.4 Solve Systems of Linear Equations in Three Variables.
Three Variable Real World Example# 4 page 181; Chapter
Exercises # 42 page 184.
Indianapolis Public Schools
Curriculum and Instruction
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