Download Secondary English Language Arts

Algebra I Curriculum Framework
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sted
Pacin
g
Beginning of Year Review
20
days
Themes/Concepts/Big Ideas
Preparing for Algebra:
 Plan for Problem Solving
 Real Numbers
 Operations with Integers
 Adding and Subtracting
Rational Numbers
 Multiplying and Dividing
Rational Numbers
 The Percent Proportion
 Perimeter
 Area
 Volume
 Surface Area
 Simple Probability and
Odds
 Mean, Median, Mode,
Range, and Quartiles
 Representing Data
Standards-based Essential Skills
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Use the four-step problemsolving plan
Classify and use real numbers
Add, subtract, multiply, and
divide integers
Compare and order rational
numbers
Add and subtract rational
numbers
Multiply and divide rational
numbers
Use and apply the percent
proportion
Find the perimeter of twodimensional figures
Find the area of two-dimensional
figures
Find the volume of rectangular
prisms and cylinders
Find the surface area of
rectangular prisms and cylinders
Find the probability and odds of
simple events
Calculate the measures of central
tendency and the measures of
variation of a set of data
Represent sets of data using
different visual displays
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
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Diagnostic
assessment
Real world
connection/exampl
es
Ticket out the door
Practice/review
activities
Problem solving
activities
Post-test
Instructional Strategies
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Activate prior
knowledge
Scaffolding questions
K-W-L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Vocabulary notecards
Lesson summaries
Journal prompts
Entrance/exit tickets
Graphic organizers
Visualization
Four-step problem
solving
Differentiated
activities
Resources
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Glencoe McGraw-Hill Algebra I (2010)
student and teacher editions
Research-Based Strategies: Narrowing
the Achievement Gap for UnderResourced Students by Ruby Payne,
Ph.D.
Online teacher resources:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Online student edition:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Math websites (see attachment)
Personal Tutor
Virtual manipulatives/calculator
Math journals
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sted
Pacin
g
27
days
Themes/Concepts/Big Ideas
Foundations for Functions
Unit 1
Expressions, Equations, and
Functions
 Variables and Expressions
 Order of Operations
 Properties of Numbers
 The Distributive Property
 Equations
 Relations
 Functions
 Logical Reasoning and
Counterexamples
Linear Equations
 Writing Equations
 Solving One-Step
Equations
 Solving Multi-Step
Equations
 Solving Equations with the
Variable on Each Side
 Ratios and Proportions
 Percent of Change
 Literal Equations and
Dimensional Analysis
 Weighted Averages
Standards-based Essential Skills
Expressions, Equations, and Functions
 Represent relationships among
quantities using tables, graphs,
verbal descriptions, and
inequalities
 Use symbols to represent
unknowns and variables
 Find specific function values and
solve equations in problem
situations
 Use the Commutative,
Associative, and Distributive
Properties to simplify algebraic
expressions
 Interpret and make critical
predictions from functional
relationships
 Describe independent and
dependent quantities in
functional relationships
 Identify mathematical domains
and ranges and determine
reasonable domain and range
values for given situations, both
continuous and discrete
Linear Equations
 Describe functional relationships
for given problem situations and
write equations to answer
questions arising from the
situations
 Represent relationships among
quantities using diagrams, verbal
descriptions and equations
 Find specific function values,
and transform and solve
equations in problem situations
 Solve problems involving
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
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Diagnostic
assessment
Real-world
connection/exampl
es
Check your
understanding
Practice and
problem solving
H.O.T. problems
Spiral review
Skills review
Standardized test
practice
Algebra lab
Graphing
technology lab
Spreadsheet lab
Enrichment
activities
Mid-chapter quiz
Practice test
Chapter/Unit test
Chapter 1 Project:
Sports Expressions
Chapter 2 Project:
Shopping on a
Budget
Instructional Strategies
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Activate prior
knowledge
Scaffolding questions
K-W-L
Cooperative learning
Reciprocal teaching
Peer tutoring
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four-step problem
solving
Differentiated
activities
Resources
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
Glencoe McGraw-Hill Algebra I (2010)
student and teacher editions
Research-Based Strategies: Narrowing
the Achievement Gap for UnderResourced Students by Ruby Payne,
Ph.D.
Online teacher resources:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Online student edition:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
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sted
Pacin
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50
days
Themes/Concepts/Big Ideas
Linear Functions and Relations
 Graphing Equations in
Slope-Intercept Form
 Writing Equations in
Slope-Intercept Form
 Parallel and Perpendicular
Lines
 Scatter Plots and Lines of
Fit
 Regression and Median-Fit
Lines
 Special Functions
Linear Functions
 Use, translate, and make
connections among algebraic,
tabular, graphical, or verbal
descriptions of linear functions
 Interpret the meaning of
intercepts in situations using
data, symbolic representation, or
graphs
 Determine the intercepts of the
graphs of linear functions and
zeros of linear functions from
graphs, tables, and algebraic
representations
 Look for patterns and represent
generalizations algebraically
 Develop the concept of slope as
rate of change and determine the
slope from graphs, tables, and
algebraic representations
 Interpret the meaning of slope in
situations using data, symbolic
representations, or graphs
 Relate direct variation to linear
functions and solve problems
involving proportional change
Linear Inequalities
 Solving Inequalities by
Addition and Subtraction
 Solving Inequalities by
Multiplication and
Division
 Solving Multi-Step
Inequalities
 Solving Compound
Inequalities
 Inequalities Involving
Absolute Value
Linear Functions and Relations
 Write equations of lines given
specific characteristics
 Interpret and predict the effects
of changing the slope and yintercept in applied situations
 Interpret and make decisions,
predictions, and critical
judgments from functional
relationships
 Collect and organize data, make
and interpret scatter plots, and
Linear Functions and Relations
Linear Functions
 Graphing Linear Equations
 Solving Linear Equations
by Graphing
 Rate of Change and Slope
 Direct Variation
 Arithmetic Sequences as
Linear Functions
 Proportional and
Nonproportional
Relationships
Unit 2
Standards-based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
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Diagnostic
assessment
Real-world
connection/exampl
es
Check your
understanding
Practice and
problem solving
H.O.T. problems
Spiral review
Skills review
Standardized test
practice
Algebra lab
Spreadsheet lab
Graphing
technology lab
Enrichment
activities
Mid-chapter quiz
Practice test
Chapter/Unit test
Chapter 3 Project:
Amusing
Admission Costs
Chapter 4 Project:
Destined to Travel
Chapter 5 Project:
A “Yes” for the
Animals
Chapter 6 Project:
Matrices of Music
Instructional Strategies
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Activate prior
knowledge
Scaffolding questions
K-W-L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four-step problem
solving
Differentiated
activities
Resources
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



Glencoe McGraw-Hill Algebra I (2010)
student and teacher editions
Research-Based Strategies: Narrowing
the Achievement Gap for UnderResourced Students by Ruby Payne,
Ph.D.
Online teacher resources:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Online student edition:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Sugge
sted
Pacin
g
38
days
Themes/Concepts/Big Ideas
Nonlinear Expressions,
Equations, and Functions
Polynomials
 Multiplying Monomials
 Dividing Monomials
 Scientific Notation
 Polynomials
 Adding and Subtracting
Polynomials
 Multiplying a Polynomial
by a Monomial
 Multiplying Polynomials
 Special Products
Unit 3
Factoring and Quadratic Equations
 Monomials and Factoring
 Using the Distributive
Property
 Quadratic Equations
 Quadratic Equations:
Differences of Squares
 Quadratic Equations:
Perfect Squares
Quadratic and Exponential
Functions
 Graphing Quadratic
Functions
 Solving Quadratic
Equations by Graphing
 Transformations of
Quadratic Functions
 Solving Quadratic
Equations by Completing
the Square
 Solving Quadratic
Equations by Using the
Quadratic Formula
Standards-based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Polynomials
 Use the Commutative,
Associative, and Distributive
Properties to simplify algebraic
expressions
 Simplify polynomial expressions
and apply the laws of exponents
in problem-solving situations
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Factoring and Quadratic Equations
 Factor as necessary in problem
situations
 Solve quadratic equations using
concrete models, tables, graphs,
and algebraic methods
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Quadratic and Exponential Functions
 Identify and sketch the general
forms of quadratic parent
functions
 Analyze graphs of quadratic
functions and draw conclusions
 Make connections among the
solutions (roots) of quadratic
equations, the zeros of their
related functions, and the
horizontal intercepts of the graph
of the function
 Solve quadratic equations using
concrete models, tables, graphs,
and algebraic methods
 Use characteristics of the
quadratic parent function to
sketch related graphs
 Analyze data and represent
situations involving exponential
growth and decay using tables,
graphs, or algebraic methods
 Analyze functions with
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Diagnostic
assessment
Real-world
connection/exampl
es
Check your
understanding
Practice and
problem solving
H.O.T. problems
Spiral review
Skills review
Standardized test
practice
Algebra lab
Graphing
technology lab
Enrichment
activities
Mid-chapter quiz
Practice test
Chapter/Unit test
Chapter 7 Project:
Space for Data
Chapter 8 Project:
Awesome
Landscape
Architects
Chapter 9 Project:
Finance Fun
Instructional Strategies
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Activate prior
knowledge
Scaffolding questions
K-W-L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four-step problem
solving
Differentiated
activities
Resources









Glencoe McGraw-Hill Algebra I (2010)
student and teacher editions
Research-Based Strategies: Narrowing
the Achievement Gap for UnderResourced Students by Ruby Payne,
Ph.D.
Online teacher resources:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Online student edition:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Sugge
sted
Pacin
g
25
days
Themes/Concepts/Big Ideas
Advanced Functions and
Equations
Unit 4
Radical Functions and Geometry
 Square Root Functions
 Simplifying Radical
Expressions
 Operations with Radical
Expressions
 Radical Equations
 The Pythagorean Theorem
 The Distance and Midpoint
Formulas
 Similar Triangles
 Trigonometric Ratios
Rational Functions and Equations
 Inverse variation
 Rational Functions
 Simplifying Rational
Expressions
 Multiplying and Dividing
Rational Expressions
 Dividing Polynomials
 Adding and Subtracting
Rational Expressions
 Mixed Expressions and
Complex Fractions
 Rational Equations
Standards-based Essential Skills
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
Radical Functions and Geometry
 Add, subtract, multiply, and
simplify radical expressions
 Solve radical equations
 Use the Pythagorean Theorem,
the Distance Formula, the
Midpoint Formula, and
trigonometric ratios to solve
problems
 Determine whether two triangles
are similar and find the unknown
measures of sides of two similar
triangles
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Rational Functions and Equations
 Analyze data and represent
situations involving inverse
variation using tables, graphs, or
algebraic methods
 Identify excluded values from
rational expressions and simplify
rational expressions
 Multiply and divide rational
expressions and use dimensional
analysis
 Divide a polynomial by a
monomial or binomial
 Add and subtract rational
expressions with like and unlike
denominators
 Solve rational equations and
eliminate extraneous roots
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Diagnostic
assessment
Real-world
connection/exampl
es
Check your
understanding
Practice and
problem solving
H.O.T. problems
Spiral review
Skills review
Standardized test
practice
Algebra lab
Graphing
technology lab
Enrichment
activities
Mid-chapter quiz
Practice test
Chapter/Unit test
Chapter 10 Project:
Oceans in Motion
Chapter 11 Project:
Super Science Stuff
Instructional Strategies
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Activate prior
knowledge
Scaffolding questions
K-W-L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four-step problem
solving
Differentiated
activities
Resources









Glencoe McGraw-Hill Algebra I (2010)
student and teacher editions
Research-Based Strategies: Narrowing
the Achievement Gap for UnderResourced Students by Ruby Payne,
Ph.D.
Online teacher resources:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Online student edition:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals
Sugge
sted
Pacin
g
Unit 5
10
days
Themes/Concepts/Big Ideas
Data Analysis
Statistics and Probability
 Designing a Survey
 Analyzing Survey Results
 Statistics and Perimeters
 Permutations and
Combinations
 Probability of Compound
Events
 Probability Distributions
 Probability Simulations
Standards-based Essential Skills
Statistics and Probability
 Identify various sampling
techniques and recognized a
biased sample
 Count outcomes using the
Fundamental Counting Principle
 Use combinations and
permutations to determine
probabilities
 Find the probability of two
independent events or dependent
events, and find the probability
of two mutually inclusive or
inclusive events
 Use random variables to
compute probability, and use
probability distributions to solve
real-world problems.
 Use probability simulations to
model real world situations
Formative/Summative
Assessments
(Writing Assignments,
Projects, Performances)
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
Diagnostic
assessment
Real-world
connection/exampl
es
Check your
understanding
Practice and
problem solving
H.O.T. problems
Spiral review
Skills review
Standardized test
practice
Algebra lab
Graphing
technology lab
Enrichment
activities
Mid-chapter quiz
Practice test
Chapter/Unit test
Chapter 12 Project:
Food for a Food
Bank
Instructional Strategies
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







Activate prior
knowledge
Scaffolding questions
K-W-L
Cooperative learning
Response cards
Reciprocal teaching
Writing to Learn
strategies
Entrance/exit tickets
Graphic organizers
Visualization
Four-step problem
solving
Differentiated
activities
Resources









Glencoe McGraw-Hill Algebra I (2010)
student and teacher editions
Research-Based Strategies: Narrowing
the Achievement Gap for UnderResourced Students by Ruby Payne,
Ph.D.
Online teacher resources:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Online student edition:
http://glencoe.mcgrawhill.com/sites/0078884802/student_view
0/
Math websites (see attachment)
Personal Tutor
Homework Help
Virtual manipulatives/calculator
Math journals