2015-2016 TUSD Scope & Sequence: Algebra II

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2015-2016 TUSD Scope & Sequence: Algebra II
New Textbook: Algebra 2, Holt McDougal (blue textbook)
Old Textbook: Algebra 2, McDougal Littell (green textbook)
1st Quarter
Unifying Concept: Linear/Quadratic Functions and Equations
Mathematics Content Focus:
Quarter Summary of Objectives:
New book Chapters 1, 2 (12.5 for G-GPE.2)
Old book Chapters 1, 2, 3, 5 (10.2 for G-GPE.2)
Functions
-Intro to Functions
-Function Notation
-Parent Functions/Transformations
Linear Functions (review)
-Write equations/inequalities
-Graph equations/inequalities
-Slope as Rate of Change
-Systems of Linear Equations/Inequalities
Students continue to solve real-world problems
by writing and solving appropriate linear
equations, inequalities, or system of equations.
Students will apply the meaning of the
parameters in a linear function to a real world
situation.
Students will also apply the meaning of the
maximum/minimum value of a function,
symmetry, and zeroes of a function to a real
world problem and write a polynomial equation
that models a real-world problem by justifying
each step used to solve/create the solution.
Standards for Mathematical Practice:
Absolute Value Functions
Quadratics Functions
-Graph
Vertex form, standard form,
Intercept form, transformations
-Solve
Square roots, complete the square
Factoring, quadratic formula
-Complex solutions
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the
reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
Target Standards: shall be emphasized during the quarter and used in a formal assessment
to evaluate student mastery.
A-REI.1, 6,7,11
A-REI.11= linear, quadratic, and absolute value only
A-SSE.2(quadratic only)
A-CED.1(linear, quadratic only)
F-IF.4, 6,7, 8, 9(linear, quadratic only)
F-BF.1
F-LE.2,5(linear, quadratic only)
Complementary/ Foundational Standards: shall serve to enhance the math focus and
reinforce the target standards.
A-REI.4,4b
F-IF. 3
F-BF.3(linear, quadratic only) A-APR.4
N-Q.2
N-CN.1, 2, 7
G-GPE.2
5/13/2015 3:28 PM
2nd Quarter
Unifying Concept: Polynomial, Rational, and Radical Functions
Mathematics Content Focus:
Quarter Summary of Objectives:
New book Chapters 3, 5
Old book Chapters 6, 7, 9
Polynomials
-Operations
-Factoring
-Graphing/Transformations
-Remainder Theorem
-Solving equations
Rational Functions
-Operations
-Solving Rational Equations
-Graphing
Radical Functions
-Properties of Exponents
-Solving Radicals Equations
-Graphing
Students will determine the best method to
simplify and solve rational equations, and
will justify each step used in their solution(s).
Students will also apply the meaning of the
zeroes, y-intercept and asymptotes of a
rational function to the context a real world
problem. Students will sketch a graph of the
radical function using the key features of the
graph to include: zeroes, end behavior, and
asymptotes, and be able to justify each step
used to solve an equation.
Standards for Mathematical Practice:
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique
the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
Target Standards: shall be emphasized during the quarter and used in a formal
assessment to evaluate student mastery.
A-SSE.2(polynomial only)
A-SSE. 3
A-REI.2. 11 (A-REI.11= polynomial and rational only)
F-IF.4(polynomial only)
F-IF.7c
N-RN.1, 2
A-APR.2, 3
A-CED.1 (rational only)
Complementary/ Foundational Standards: shall serve to enhance the math focus
and reinforce the target standards.
A-APR.6 F-BF.3 (polynomial and rational only)
TUSD Curriculum and Instruction Math Department
Page 1
2015-2016 TUSD Scope & Sequence: Algebra II
New Textbook: Algebra 2, Holt McDougal (blue textbook)
Old Textbook: Algebra 2, McDougal Littell (green textbook)
3rd Quarter
Unifying Concept: Exponential Functions, Logarithms, and Sequences and Series
Mathematics Content Focus:
Quarter Summary of Objectives:
New book Chapters 4,6,9
Old book Chapters 8, 2.7, 7.3, 7.4, 11
Exponential/Logarithmic Functions
-Modeling growth and decay
-Graphing/Transformations
-Evaluate
-Find Inverse functions
-Properties of Logs
-Natural base “e”
-Solve equations
Function Attributes
-Piecewise
-Comparing
-Operations
-Inverses
Sequences/Series
-Arithmetic,
-Geometric, Infinite Geometric
-Recursive & Explicit Rules
-Series & Summation Notation
Students will: model the properties of integer
exponents to derive the rules for rational
exponents. Students will also use their
mathematical skills to solve problems using
linear, exponential, trigonometric
equations/functions developed from real life
applications, and apply the meaning of the
parameters in an exponential function to a
real-world situation.
Standards for Mathematical Practice:
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique
the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
Target Standards: shall be emphasized during the quarter and used in a formal assessment
to evaluate student mastery.
A-SSE.3c, 4
A-REI.11 (exponential and log only)
F-IF.6(arithmetic sequences)
F-IF.7e, 8b
F-IF.9 (exponential and log only)
F-BF.1a,1b,2
F-LE.2,4,5 (F-LE.2,5 = exponential only)
A-CED.1 (exponential only)
Complementary/ Foundational Standards: shall serve to enhance the math focus and
reinforce the target standards.
F-BF.3 (exponential and log only) F-BF. 4, 4a
5/13/2015 3:28 PM
4th Quarter
Unifying Concept: Trigonometric Functions, Statistics, and Probability
Mathematics Content Focus:
Quarter Summary of Objectives:
New book Chapters 7, 8, 10, 11
Old book Chapters 12, 13, 14
Statistics
-Normal distribution
-Scatterplots
-Interpret, analyze, model with data
-Population vs. Random Sampling
Probability
-Set Notation
-Independent vs Dependent Events
-Conditional Probability
-Two Way Tables
-Compound Events
Trigonometric Functions
-Radian Measures
-Unit Circle
-Pythagorean Identity
-Graph/Model Trig Functions
Students will continue to compare the
properties of trigonometric functions
represented in different ways.
Students will also become familiar with the
Normal Curve Distribution, and its
application to real world situations.
Students will also recognize and explain
real world examples of conditional
probability and independence.
Standards for Mathematical
Practice:
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique
the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in
repeated reasoning.
Target Standards: shall be emphasized during the quarter and used in a formal
assessment to evaluate student mastery.
S-IC. 1, 2, 3, 4, 5, 6
S-ID.4, 6, 6a
S-CP. 1, 2, 3, 4, 5, 6, 7
F-TF.1, 2, 5, 8
Complementary/ Foundational Standards: shall serve to enhance the math focus
and reinforce the target standards.
F-IF 4, 7, 7e (trigonometric functions only)
F-BF.3
TUSD Curriculum and Instruction Math Department
Page 2
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