Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 1 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Mathematics Pacing Guide
High School Algebra II/Trigonometry
MILWAUKEE
PUBLIC SCHOOLS
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 2 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
k 1
Pro
ble
m S
olv
ing
wit
h A
lgeb
ra
Conceptual Category: Number and Quantity Domain: Quantities* N-Q 1 Cluster: Reason quantitatively and use units to solve problems
Conceptual Category: Algebra Domain: Reason with Equations and Inequalities A-REI 3 Cluster: Solve equations and inequalities in one variable
Chapter 0: Problem Solving with Algebra Lesson 0.1: Pictures, Graphs, and Diagrams Investigation: Pear Crossing the Arctic Lesson 0.2: Symbolic Representation Investigation: Problems, Problems, Problems Lesson 0.3: Organizing Information Investigation: Who Owns the Zebra?
Have students journal about the following questions after each investigation: “How did you approach the problem?” “How did you arrive at your conclusion?” “How might you recognize problems for which organizing through units or tables would be a useful technique?”
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 3 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 2
an
d 3
Seq
uen
ces
Conceptual Category: Functions Domain: Interpreting Functions F-IF 3 Cluster: Understand to concept of a function and use function notation
Domain: Building Functions F-BF 2 Cluster: Build a function that models a relationship between two quantities Domain: Linear, Quadratic and Exponential Models F-LE 2 Cluster: Construct and compare linear and exponential models and solve problems
Chapter 1: Sequences Lesson 1.1: Recursively Defined Sequences Investigation: Monitoring Inventory Lesson 1.2: Modeling Growth and Decay Lesson 1.3: A First Look at Limits Lesson 1.4: Graphing Sequences Investigation: Matching Them Up Lesson 1.5: Loans and Investments Investigation: Life’s Big Expenditures Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 1: Differences and Ratios Possible Extension Lessons:
Exploration: Graphing Sequences
Exploration: Refining the Growth Model
Have students create a graphic organizer to compare and contrast arithmetic and geometric sequences.
Quiz Chapter 1 Test: Sequences Chapter 1 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 4 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 4
an
d 5
Des
crib
ing
Dat
a
Conceptual Category: Statistics and Probability Domain: Interpreting Categorical and Quantitative Data S-ID 1, 2, and 3 Cluster: Summarize, represent, and interpret data on a single count or measurement variable
Chapter 2: Describing Data Lesson 2.1: Box Plots Lesson 2.2: Measures of Spread Lesson 2.3: Histograms and Percentile Ranks Investigation: Eating on the Run Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 2: Measures of Central Tendency and Dot Plots Possible Extension Lessons:
Exploration: Precision, Accuracy, and Significant Figures
Exploration: Census Microdata
Marzano’s Building Academic Vocabulary: Have students create a word wall including terms, descriptions, and visual representations to refer back to throughout the course. Use strategies such as: Talk-A-Mile-A-Minute Charades Pictionary Graphic Organizers I Have, Who Has
Quiz Chapter 2 Test: Describing Data Chapter 2 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 5 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 6
an
d 7
Lin
ear
Mo
del
s an
d S
yste
ms
Conceptual Category: Number and Quantity Domain: Quantities* N-Q 1 Cluster: Reason quantitatively and use units to solve problems Conceptual Category: Algebra Domain: Seeing Structure in Expressions A-SSE 1a Cluster: Interpret the structure of expressions Domain: Creating Equations* A-CED 1, 2, 3, and 4 Cluster: Create equations that describe numbers or relationships Domain: Reasoning with Equations and Inequalities A-REI 1, 2 Cluster: Solve equations and inequalities in one variable
Cluster: Solve systems of equations Conceptual Category: Functions Domain: Linear, Quadratic, and Exponential Models F-LE 1a, 1b, 2, and 5 Cluster: Construct and compare linear and exponential models and solve problems
Cluster: Interpret expressions for functions in terms of the situation they model.
Conceptual Category: Geometry Domain: Expressing Geometric Properties with Equations G-GPE 5 Cluster: Use coordinate geometry to prove simple geometric theorems algebraically Conceptual Category: Statistics and Probability Domain: Interpreting Categorical and Quantitative Data S-ID 6a, 6c, and 7 Cluster: Summarize, represent, and interpret data on two categorical and quantitative variables
Cluster: Interpret Linear Models
Chapter 3: Linear Models and Systems Lesson 3.1: Linear Equations and Arithmetic Sequences Investigation: Match Point Lesson 3.2: Revisiting Slope Lesson 3.3: Fitting a Line to Data Lesson 3.4: The Median-Median Line Investigation: Airline Schedules Lesson 3.5: Prediction and Accuracy Lesson 3.6: Linear Systems Investigation: Population Trends Lesson 3.7: Substitution and Elimination Investigation: What’s Your System Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 3: Linear Relationships Possible Extension Lessons:
Exploration: Residual Plots and Least Squares
Use a Quick Write to answer the following prompt: How would you decide which method to use to solve a system of linear equations?
Quiz Chapter 3 Test: Linear Models and Systems Chapter 3 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 6 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 8
, 9, a
nd
10
Fun
ctio
ns,
Rel
atio
ns,
an
d T
ran
sfo
rmat
ion
s
Conceptual Category: Algebra Domain: Seeing Structure in Expressions A-SSE 1a, 1b Cluster: Interpret the structure of expressions
Domain: Creating Equations* A-CED 4 Cluster: Creating equations that describe numbers or relationships
Domain: Reasoning with Equations and Inequalities A-REI 2, 4b, 10, and 11 Cluster: Understand solving equations as a process of reasoning and explain the reasoning
Solve equations and inequalities in one variable
Represent and solve equations and inequalities graphically Conceptual Category: Functions Domain: Interpreting Functions F-IF 1, 2, 4, 5, 7a, 7b,and 9 Cluster: Understand the concept of a functions and use function notation
Interpret functions that arise in applications in terms of the context
Analyze functions using different representations
Domain: Building Functions F-BF 3 Cluster: Build new functions from existing functions Conceptual Category: Geometry Domain: Expressing Geometric Properties with Equations G-GPE 1 Cluster: Translate between the geometric description and the equation for a conic section
Chapter 4: Functions, Relations, and Transformations
Lesson 4.1: Interpreting Graphs Investigation: Graph a Story
Lesson 4.2: Function Notation Investigation: To Be or Not to Be (a Function)
Lesson 4.3: Lines in Motion
Lesson 4.4: Translations and the Quadratic Family Investigation: Make My graph
Lesson 4.5: Reflection and the Square Root Family Investigation: Take a Moment to Reflect
Lesson 4.6: Dilations and the Absolute-Value Family
Lesson 4.7: Transformations and the Circle Family
Lesson 4.8: Composition of Functions Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 4: Solving Equations Possible Extension Lessons:
Exploration: Rotation as a Composition of Transformations
Quiz Chapter 4 Test: Functions, Relations, and Transformations Chapter 4 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 7 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 1
1, 1
2, a
nd
13
Exp
on
enti
al, P
ow
er, a
nd
Lo
gari
thm
ic F
un
ctio
ns
Conceptual Category: Number and Quantity Domain: The Real Number System N-RN 1, 2 Cluster: Extend the properties of exponents to rational exponents
Conceptual Category: Algebra Domain: Seeing Structure in Expressions A-SSE 1a, 2, 3c Cluster: Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
Domain: Creating Equations* A-CED 1, 2, and 4 Cluster: Create equations that describe numbers or relationships
Domain: Reasoning with Equations and Inequalities A-REI 1 and 11 Cluster: Understand solving equations as a process of reasoning and explain the reasoning
Represent and solve equations and inequalities graphically
Conceptual Category: Functions Domain: Interpreting Functions F-IF 2, 3, 7b, 7e, 8b, and 9 Cluster: Understand the concept of a functions and use function notation
Analyze functions using different representations
Domain: Building Functions F-BF 1a, 1b, 2, 3, 4a, 4b, 4c Cluster: Build a function that models a relationship between two quantities
Build new functions from existing functions
Domain: Linear, Quadratic, and Exponential Models F-LE 1a, 1c, 2, 4, and 5 Cluster: Construct and compare linear and exponential models and solve problems
Interpret expressions for functions in terms of the situation they model
Conceptual Category: Statistics and Probability Domain: Interpreting Categorical and Quantitative Data S-ID 6a Cluster: Summarize, represent, and interpret data on two categorical and quantitative variables
Chapter 5: Exponential, Power, and Logarithmic Functions Lesson 5.1: Exponential Functions Lesson 5.2: Properties of Exponents and Power Functions Investigation: Properties of Exponents Lesson 5.3: Rational Exponents and Roots Lesson 5.4: Applications of Exponential and Power Equations Lesson 5.5: Building Inverses of Functions Investigation: The Inverse Lesson 5.6: Logarithmic Functions Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 5: Working with Positive Square Roots Possible Extension Lessons:
Lesson 5.7: Properties of Logarithms
Lesson 5.8: Applications of Logarithms
Exploration: The Number e
Use a Quick Write to ensure students understand the concept of inverse functions and can apply that concept to the special case of exponential and logarithmic functions
Quiz Chapter 5 Test: Exponential, Power, and Logarithmic Functions Chapter 5 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 8 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 1
4 a
nd
15
Mat
rice
s an
d L
inea
r Sy
stem
s
Conceptual Category: Algebra Domain: Seeing Structure in Expressions A-SSE 1a Cluster: Interpret the structure of expressions
Domain: Creating Equations* A-CE 3 Cluster: Creating equations that describe numbers or relationships
Domain: Reasoning with Equations and Inequalities A-REI 6, 7, 12 Cluster: Solve system of equations
Represent ad solve equations and inequalities graphically
Chapter 6: Matrices and Linear Systems Lesson 6.5: Systems of Inequalities Investigation: Paying for College Lesson 6.6: Linear Programming Investigation: Maximizing Profit Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 6: Properties of Real Numbers Differentiation: Use Discovering Algebra lessons from Chapter 5 to help build understanding of solving systems of linear equations
Project: Nutritional Elements p.366
Quiz Chapter 6 Test: Matrices and Linear Systems Chapter 6 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 9 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 1
6 a
nd
17
Seri
es
Conceptual Category: Algebra Domain: Seeing Structure in Expressions A-SSE 4 Cluster: Write expressions in equivalent forms to solve problems
Chapter 9: Series Lesson 9.1: Arithmetic Series Lesson 9.2: Infinite Geometric Series Lesson 9.3: Partial Sums of Geometric Series Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 9: Arithmetic and Geometric Sequences Possible Extension Lessons:
Exploration: Seeing the Sum of a Series
Quiz Chapter 9 Test: Series Chapter 9 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 10 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
k 1
8
Chapters 1 – 6, and 9 Review Semester 1 District Final Exam
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 11 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 1
9, 2
0, 2
1, a
nd
22
Qu
adra
tic
and
Oth
er P
oly
no
mia
l Fu
nct
ion
s
Conceptual Category: Number and Quantity Domain: The Real Number System N-RN 3 Cluster: Use properties of rational and irrational numbers to solve problems Domain: The Complex Number System N-CN 1, 2, 7 Cluster: Perform arithmetic operations with complex numbers
Solve quadratic equations with real coefficients that have complex solutions
Conceptual Category: Algebra Domain: Seeing Structures in Expressions A-SSE 1a, 1b, 2, 3a, 3b Cluster: Interpret the structure of expressions
Write expressions in equivalent forms to solve problems
Domain: Arithmetic with Polynomials and Rational Functions A-APR 2, 3, 4 Cluster: Understand the relationship between zeros and factors of polynomials
Use polynomial identities to solve problems
Domain: Creating Equations* A-CED 1, 2 Cluster: Create equations that describe numbers or relationships
Domain: Reasoning with Equations and Inequalities A-REI 1, 4a, 4b, Cluster: Understand solving equations as a process of reasoning and explain the reasoning
Conceptual Category: Functions Domain: Interpreting Functions F-IF 4, 7a, 7c, 8a, 9 Cluster: Interpret functions that arise in applications in terms of the context
Analyze functions using different representations
Domain: Building Functions F-BF 3, 4a Cluster: Build new functions from existing functions
Chapter 7: Quadratic and Other Polynomial Functions Lesson 7.1: Polynomial Degree and Finite Differences Lesson 7.2: Equivalent Quadratic Forms Lesson 7.3: Completing the Square Investigation: Complete the Square Lesson 7.4: The Quadratic Formula Investigation: How High Can You Go? Lesson 7.5: Complex Numbers Investigation: Complex Numbers Lesson 7.6: Factoring Polynomials Investigation: The Box Factory Lesson 7.7: Higher-Degree Polynomials Investigation: The Largest Triangle Lesson 7.8: More About Finding Solutions Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 7: Polynomial Expressions
Have students Create quadratic equations to represent a variety of possible roots in the real and complex number system
Have Students Explain: “How are the representations of complex conjugates on the complex plan related?”
Quiz Chapter 7 Test: Quadratics and Other Polynomial Functions Chapter 7 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 12 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 2
3, 2
4, a
nd
25
Co
nic
Sec
tio
ns
and
Rat
ion
al F
un
ctio
ns
Conceptual Category: Algebra Domain: Seeing Structure in Expressions A-SSE 1a, 1b Cluster: Interpret the structure of expressions
Domain: Arithmetic with Polynomials A-APR 6 Cluster: Rewrite rational expressions
Domain: Creating Equations* A-CED 1, 2 Cluster: Create equations that describe numbers or relationships
Domain: Reasoning with Equations and Inequalities A-REI 2, 11 Cluster: Understand soling equations as a process of reasoning and explain the reasoning
Represent and solve equations and inequalities graphically
Conceptual Category: Functions Domain: Interpreting Functions F-IF 4, 7e Cluster: Interpret functions that arise in applications in terms of the context
Analyze functions using different representations
Domain: Building Functions F-BF 3 Cluster: Build new functions from existing functions
Conceptual Category: Geometry Domain: Expressing Geometric Properties with Equations G-GPE 1, 2 Cluster: Translate between the geometric description and the equation for a conic section
Chapter 8: Conic Sections and Rational Functions Lesson 8.1: Using the Distance Formula Lesson 8.2: Circles and Ellipses Note: Circles are needed for the CCSS, however, Ellipses are an extension if time permits
Lesson 8.3: Parabolas Investigation: Fold a Parabola Lesson 8.5: The General Quadratic Lesson 8.6: Introduction to Rational Functions Lesson 8.7: Graphs of Rational Functions Investigation: Predicting Asymptotes and Holes Lesson 8.8: Operations with Rational Expressions Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 8: The Distance Formula Possible Extension Lessons: 8.4: Hyperbola
Exploration: Constructing the Conic Section
Have students journal about their previous understanding of parabolas before beginning work in conic sections and then continue adding to their journal regarding their understanding of a parabola.
Quiz Chapter 8 Test: Conic Sections and Rational Functions Chapter 8 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 13 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 2
6 a
nd
27
Pro
bab
ility
Conceptual Category: Statistics and Probability Domain: Making Inferences and justifying Conclusions S-IC 2 Cluster: Understand and evaluate random processes underlying statistical experiments
Domain: Conditional Probability and the Rules of Probability S-CP 1, 2, 3, 4, 5, 6, and 7 Cluster: Understand independence and conditional probability and use them to interpret data
Use the rules of probabilities to compute probabilities of compound events in a uniform probability model Domain: Using Probability to Make Decisions S-MD 3 Cluster: Calculate expected values and use them to solve problems
Chapter 10: Probability Lesson 10.1: Randomness and Probability Investigation: Flip a Coin Lesson 10.2: Counting Outcomes and Tree Diagrams Investigation: The Multiplication Rule Lesson 10.3: Mutually Exclusive Events and Venn Diagrams Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 10: Basic Probability Possible Extension Lessons: Lesson 10.4: Random Variables and Expected Values
Exploration: Geometric Probability Exploration: The Law of Large Numbers
Quiz Chapter 10 Test: Probability Chapter 10 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 14 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 2
8, 2
9, 3
0 a
nd
31
Ap
plic
atio
ns
of
Stat
isti
cs
Conceptual Category: Statistics and Probability Domain: Interpreting Categorical and Quantitative Data S-ID 4, 5, 6, 8, and 9 Cluster: Summarize, represent, and interpret data on a single count or measurement variable
Summarize, represent, and interpret data on two categorical and quantitative variables
Interpret linear models
Domain: Making Inferences and Justifying Conclusions S-IC 1, 3, 4, 5, and 6 Cluster: Understand and evaluate random processes underlying statistical experiments
Make inferences and justify conclusions from sample surveys, experiments and observational studies Domain: Using Probability to make decisions S-MD 1, 2, 3, 4, and 7 Cluster: Calculate expected value and use them to solve problems
Use probability to evaluate outcomes of decisions
Chapter 11: Applications of Statistics Lesson 11.1: Experimental Design Investigation: Designing a Study Lesson 11.2: Probability Distribution Lesson 11.3: Normal Distribution Lesson 11.4: z-Values and Confidence Intervals Investigation: Keeping Score Lesson 11.5: Bivariate Data and Correlation Investigation: Looking for Connections Lesson 11.6: The Least Square Line Possible lesson for students who might need to refresh math skills:
Refreshing Your Skills for Chapter 11: Statistics Possible Extension Lessons:
Exploration: Normally Distributed Data Exploration: Prediction Intervals Exploration: Nonlinear Regression
Projects: Simpson’s Paradox p.633 Correlation vs. Causation p.663 Have students conduct a Statistical Study: Formulate a
question Design an
experiment Collect data
Analyze data
Quiz Chapter 11 Test: Applications of Statistics Chapter 11 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 15 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
ks 3
2, 3
3, 3
4, a
nd
35
Trig
on
om
etri
c Fu
nct
ion
s
Conceptual Category: Algebra Domain: Creating Equations* A-CED 2 Cluster: Create equations that describe numbers or relationships
Conceptual Category: Functions Domain: Interpreting Functions F-IF 4, 5, 7e Cluster: Interpret functions that arise in applications in terms of the context
Analyze functions using different representations
Domain: Building Functions F-BF 1b, 3 Cluster: Build a function that models a relationship between two quantities
Build new functions from existing functions
Domain: Trigonometric Functions F-TF 1, 2, 3, 4, 5, 6, 7, 8 Cluster: Extend the domain of trigonometric functions using the unit circle
Model periodic phenomena with trigonometric functions
Prove and apply trigonometric identities
Conceptual Category: Geometry Domain: Similarity, Right Triangle, and Trigonometry G-SRT 5 Cluster: Find arc lengths and areas of sectors of circles
Chapter 13: Trigonometric Functions Lesson 13.1: Defining the Circular Function Investigation: Paddle Wheel Lesson 13.2: Radian Measure Investigation: A Radian Protractor Lesson 13.3: Graphing Trigonometric Functions Lesson 13.4: Inverse of Trigonometric Functions Lesson 13.5: Modeling with Trigonometric Equations Lesson 13.6: Fundamental Trigonometric Identities Investigation: Pythagorean Identities Possible lesson for students who might need to refresh math skills:
Lesson 12.1: Right Triangle Trigonometry
Refreshing Your Skills for Chapter 13: Geometry of the Circle Possible Extension Lessons:
Exploration: Circular Functions
Lesson 13.7: Combining Trigonometric Functions
Students will be able to model situations in which they collect data, choose an appropriate function family, and a function from that family to model the situation and then justify their reasoning
Quiz Chapter 13 Test: Trigonometric Functions Chapter 13 Constructive Assessment Items: Key Curriculum Resources
Mathematics Pacing Guide: High School Advanced Algebra Course
Math_Pacing Guide Algebra II/Trig_07.27.11_v1 Page | 16 This Pacing Guide is to be used in conjunction with the Curriculum Guide and the Instructional Design Lesson Plan. The Curriculum Guide addresses the specific standards, essential understandings, misconceptions, instructional practices, and differentiation. The Instructional Design will help with planning lessons using Launch-Explore-Summarize-Apply.
Time Frame
Common Core State Standards For Mathematics
Program Materials Discovering Advanced Algebra
Formative Assessments
Summative Assessments
Wee
k 3
6
Chapters 7, 8, 10, 11, and 13 Semester 2 District Final Exam