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Transcript
Algebra 1 Daily Learning Guide
Core Content: Reasoning, Problem Solving and Communication
(Chapter 1 Problem Solving)
STANDARD
ELD
Standard
Performance
Lessons and Objectives
Vocabulary
A.1.8.E Read and
interpret diagrams,
graphs and text
containing the
symbols, language and
conventions of
mathematics.
A.1.8.E Read and
interpret diagrams,
graphs and text
containing the
symbols, language and
conventions of
mathematics.
I can read and interpret points on
a coordinate graph.
A.1.8.E Read and
interpret diagrams,
graphs and text
containing the
symbols, language and
conventions of
mathematics.
A.1.8.C Evaluate a
solution for
reasonableness, verify
its accuracy and
interpret the solution
in the context of the
original problem.
A.1.8.G Synthesize
information to draw
conclusions and
evaluate the
arguments and
conclusions of others.
I can plot a point using its (x,y)
coordinates.
Justify
Area
Perimeter
Timeline: 8 Days, 9/7-9/16
Formative Assessment
Resources and
Pacing
1.1.1 Interpreting
Graphs
Notes and Self
Reflection
Page 5 Math Notes:
Perimeter and Area of
a Figure
(1 day)
I can plot a point using its (x,y)
coordinates.
I can read and interpret points on
a coordinate graph.
I can read and interpret points on
a coordinate graph.
coordinate system
x-axis
y-axis
quadrant
origin
ordered pair
coordinates
1.1.2 Using the (x,y)
plane
Page 10 Math Notes:
Axes, Quadrants, and
Coordinates
dependent variable
independent variable
generalize
integer
1.1.3 Collecting,
Organizing, and
Analyzing Data
Page 15 Math Notes:
Adding and
Subtracting Integers
(2 days)
1-15 & 16 Newton’s
Revenge: Keep
student work for use
in 7.2.1
(1 day)
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Algebra 1 Daily Learning Guide
A.1.8.E Read and
interpret diagrams,
graphs and text
containing the
symbols, language and
conventions of
mathematics.
I can recognize patterns and use
the patterns to make predictions.
1.1.4 Finding and
Generalizing Patterns
Page 19 Math Notes:
Fractions, Decimals
and Percents
(1-2 Days)
I can collect and analyze data with
tables & graphs.
A.1.8.B Select and
apply strategies to
solve problems.
I can solve problems with guess
and check method.
A.1.8.B Select and
apply strategies to
solve problems.
I can solve problems with guess
and check method.
A.1.8.B Select and
apply strategies to
solve problems.
patterns
Direct variation
Direct proportion
Inverse variation
Inverse proportion
1.2.1 Solving Problems
with Guess and Check
Twice
Sum
Product
More than
Less than
Times more than
I can solve problems with guess
and check method.
A.1.2.A Know the
I can compare and order real
relationship between
numbers.
real numbers and the
number line, and
I can write real numbers in
compare and order
equivalent forms as percents,
real numbers with and
decimals, fractions and using
without the number
scientific notation.
line.
Assessment: Chapter 1 Closure (page 33-36) (1 day) + Test (1 day)
Additional Topic 1.1
Investigating the
Growth of Patterns
(1 Day)
1.2.2 More Guess and
Check
Optional; Lab style
activity, gives early
introduction to linear
and non-linear
patterns
Math Note: Direct and
Inverse Variation
Page 24 Math Notes:
Multiplication and
Division of Integers
Page 28 Math Notes:
Word Problem
Vocabulary
(1 day)
1.2.3 More Guess and
Check
real numbers
number line
scientific notation
(1day)
Online supplement
M&M Page 19
(1 Day)
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Algebra 1 Daily Learning Guide
Core Content: Variables and Expressions (Chapter 2 Variables and Proportions)
STANDARD
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
ELD
Standard
Performance
Lessons and Objectives
Vocabulary
I can simplify an expression by
combining like terms.
Variables
Non-commensurate
evaluate
I can evaluate an expression given
values for unknown variables.
I can simplify an expression by
combining like terms.
I can use an expression mat to
represent an algebraic expression.
Formative Assessment
Resources and
Pacing
2.1.1 Exploring
Variables and
Combining Like Terms
Notes and Self
Reflection
Page 42 Math Notes:
Non-Commensurate
(1 day)
Commutative Property
of Addition
Commutative Property
of Multiplication
I can write algebraic expressions in
equivalent forms.
Timeline: 12 Days, 9/19-10/4
Expression mat
Reverse
Order of operations
Evaluate
Parentheses
Exponents
Multiplication
Division
Addition
2.1.2 Simplifying
Expressions by
Combining like Terms
Page 45 Math Notes:
Commutative
Properties
(1 day)
2.1.3 Writing Algebraic
Expressions
(1 day)
Page 49 Math Notes:
Evaluating Expressions
and the Order of
Operations
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Algebra 1 Daily Learning Guide
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A.1.2.F Add, subtract,
multiply, and divide
polynomials.
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.E Use algebraic
properties to factor
subtraction
I can simplify an expression by
combining like terms.
I can use an expression mat to
represent an algebraic expression.
I can simplify and compare
expressions
Associative property of
Addition
Associative property of
Multiplication
Identity property of
Addition
Identity property of
Multiplication
2.1.4 Using Zero to
Simplify Algebraic
Expressions
Expression Comparison
Mat
Combining Like Terms
term
2.1.5 Using Algebra
Tiles to Simplify
Algebraic Expressions
Page 53 Math Notes:
Associative and
Identity Properties
(1 day)
Page 57 Math Notes:
Combining Like Terms
(1 day)
I can simplify and compare
expressions
2.1.6 Using Algebra
Tiles to Compare
Expressions
Page 60 Math Notes:
Simplifying an
Expression
(1 day)
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Algebra 1 Daily Learning Guide
and combine like
terms in polynomials.
A.1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A.1.4.A Write and
solve linear equations
and inequalities in one
variable
A.1.4.A Write and
solve linear equations
and inequalities in one
variable
Grade 7 PE
Grade 7 PE
I can simplify an expression by
combining like terms.
2.1.7 Simplifying and
Recording Work
I can simplify and compare
expressions
(1 day)
I can solve a one-variable
equation.
Apply
Equation mat
solve
I can solve a one-variable
equation.
solution
Additive Inverse Prop.
Multiplicative Inverse
Property
reciprocal
I can identify and use algebraic
properties to decide if statements
are true.
I can solve a problem using
proportional reasoning.
Grade 7 PE
I can solve a problem using
proportional reasoning.
Grade 7 PE
I can solve a problem using
proportional reasoning.
Page 65 Math Notes:
Solving Problems with
Guess and Check
2.1.8 Using Algebra
Tiles to Solve for x
Page 69 Math Notes:
Using an Equation Mat
(1 day)
2.1.9 More Solving
Equations
Page 72 Math Notes:
Inverse Properties
(1 day)
Additional Topic 1.2
Algebra Properties
Proportional
relationships
Fractals
Sierpinski Triangle
2.2.1 Solving
problems with
proportional intuition
(1 Day)
2.2.2 Sharing
Proportion-Organizing
Strategies
(1 day)
2.2.3 Using
Proportional
Relationships
(1 day)
Optional: not HS PEs
Optional: not HS PEs
Page 78 Math Notes:
Similar
Optional: not HS PEs
M&M Lab 2-108
Page 82 Math Notes:
Fractals
Assessment: Chapter Closure p. 84-90 (1 day) + Test (1 day)
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Algebra 1 Daily Learning Guide
Core Content: Graphs and Equations (Chapter 3 Graphs & Equations)
STANDARD
A1.3.B Represent a
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A.1.8.A Analyze a
problem situation and
represent it
mathematically.
A1.3.B Represent a
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A1.3.B Represent a
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A.1.8.A Analyze a
ELD
Standard
Performance
Lessons and Objectives
Vocabulary
I can find and extend a pattern in a
table.
Extend
Connections
Generalize
Fibonacci sequence
Timeline: 13 days, 10/5-10/21
Formative Assessment
Resources and
Pacing
3.1.1 Extending
Patterns and Finding
Rules
Notes and Self
Reflection
Page 95 Math Notes:
Patterns in Nature
(1 Day)
I can write an algebraic rule to
match a pattern in a table.
3.1.2 Using Tables,
Graphs, and Rules to
Make Predictions
I can use tables, graphs and rules
to make predictions.
(1 day)
I can represent a data pattern with
a table, graph and rule.
I can write an algebraic rule to
match a pattern in a table.
I can use tables, graphs and rules
to make predictions.
discrete
continuous
3.1.3 Using the
graphing calculator
and identifying
solutions
(1 day)
I can represent a data pattern with
a table, graph and rule.
3-19 First introduction
to graphing calculator
Page 102 Math Notes:
Discrete and
Continuous
Relationships
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Algebra 1 Daily Learning Guide
problem situation and
represent it
mathematically.
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A1.3.B Represent a
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A.1.8.A Analyze a
problem situation and
represent it
mathematically.
A.1.3.A Determine
whether a relationship
is a function and
identify the domain,
range, roots, and
independent and
dependent variables.
A1.3.B Represent a
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A.1.3.A Determine
whether a relationship
is a function and
identify the domain,
range, roots, and
independent and
dependent variables.
A1.3.B Represent a
I can write an algebraic rule to
match a pattern in a table.
Parabola
vertex
I can use tables, graphs and rules
to make predictions.
3.1.4 Completing
Tables and Drawing
Graphs
(1 day)
I can represent a data pattern with
a table, graph and rule.
I can make a table and graph for a
given rule.
Dependent variable
Independent variable
I understand the important
characteristics of a coordinate
graph.
I can make a table and graph for a
given rule.
I understand the important
characteristics of a coordinate
graph.
3.1.5 Graphs, Tables,
and Rules
Page 110 Math Notes:
Independent and
Dependent Variables
(1 day)
y- intercepts
x-intercepts
3.1.6 Complete
Graphs
(1 day)
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Algebra 1 Daily Learning Guide
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A1.3.B Represent a
function with a
symbolic expression as
a graph, in a table, and
using words, and make
connections among
these representations.
A.1.8.G Synthesize
information to draw
conclusion, and
evaluate the
arguments and
conclusions of others.
A.1.4.A Write and
solve linear equations
and inequalities in one
variable
A.1.8.C Evaluate a
solution for
reasonableness, verify
its accuracy
A.1.4.A Write and
solve linear equations
and inequalities in one
variable
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A.1.1.B Solve
problems that can be
represented by linear
functions, equations,
and inequalities.
I can make a table and graph for a
given rule.
3.1.7 Identifying
Common Graph Errors
I understand the important
characteristics of a coordinate
graph.
(1 day)
I can solve a linear equation
algebraically and check to see if
the solution is correct.
solution
3.2.1 Solving
Equations and Testing
the Solution
Page 119 Math Notes:
Complete Graph
(1 day)
I can determine the number of
solutions for a linear equation.
3.2.2 Determining the
Number of Solutions
I can solve a problem that can be
represented by a linear function.
(1 day)
3.2.3 Solving
Equations to Solve
Problems
(1 day)
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Algebra 1 Daily Learning Guide
A.1.1.A Select and
I can solve a problem that can be
justify functions and
represented by a linear function.
equations to model
and solve problems.
A.1.1.B Solve
problems that can be
represented by linear
functions, equations,
and inequalities.
A.1.1.A Select and
I can collect inversely proportional
justify functions and
data and present that data with a
equations to model
graph and a rule.
and solve problems.
A1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
Assessment: Chapter Closure p. 129-134 (1 day) + Test (1 day)
Solution
No solution
All numbers
3.2.4 More Solving
Equations to Solve
Problems
(1 day)
Vary inversely
Inversely proportional
Direct variation
Y varies directly with x
Directly proportional
Additional Topic 1.3
Modeling Data
Math Notes: More on
Direct and Inverse
Variation
(1 day)
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Algebra 1 Daily Learning Guide
Core Content: Linear Functions (Chapter 4 Multiple Representations)
STANDARD
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
ELD
Standard
Performance
Lessons and Objectives
Vocabulary
I can describe the connections
between the table, graph and rule
for a linear function.
Extend
Generalize
connections
Timeline: 10 days, 10/24-11/4 END OF 1st QUARTER
Formative Assessment
Resources and
Pacing
Notes and Self
Reflection
4.1.1 Finding
Connections between
Representations
Figure 0 is vocabulary
used for starting point
of pattern
(2 days)
I can describe the connections
between the table, graph and rule
for a linear function.
4.1.2 Seeing Growth
in Different
Representations
I can write an equation in slopeintercept form from the table or
graph.
(1 day)
4-12 creates a web to
related different
representations of
linear patterns
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Algebra 1 Daily Learning Guide
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
I can describe the connections
between the table, graph and rule
for a linear function.
4.1.3 Connecting
Linear Rules and
Graphs
I can write an equation in slopeintercept form from the table or
graph.
(1 day)
I can interpret the slope and yintercept of a linear function.
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Algebra 1 Daily Learning Guide
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
A.1.1.A Select and
justify functions and
equations to model
and solve problems.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
A.1.3.B Represent a
function with a
I can make connections between
figure 0 and b and growth factor
as m in y=mx+b.
constants
4.1.4 y=mx+b
(1 day)
I can write an equation in slopeintercept form from the table or
graph.
I can describe the connections
between the table, graph and rule
for a linear function.
I can write an equation in slopeintercept form from the table or
4.1.5 Checking the
connections
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Algebra 1 Daily Learning Guide
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
graph.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
I can describe the connections
between the table, graph and rule
for a linear function.
(2 days)
I can identify the slope and yintercept of a linear function
given the equation, tables or
graph.
Reverse
Y-intercept
4.1.6 Graphing a line
without x  y table
(1 day)
I can identify the slope and yintercept of a linear function
given the equation, tables or
graph.
4-53 (page 157)
Learning Log has
students write a stepby-step process for
graphing directly from
a rule
I can graph a linear relationship
without creating a table.
I can describe the connections
between the table, graph and rule
for a linear function.
Tile Pattern
X  y table
Graph
rule
4.1.7 Completing the
Web
Page 161 Math Notes:
Multiple
Representations
(1 day)
I can identify the slope and yintercept of a linear function
given the equation, tables or
graph.
I can graph a linear relationship
without creating a table.
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Algebra 1 Daily Learning Guide
points on the line, and
translate between
forms of linear
equations.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
I can interpret the meaning of the
solution to a system of equations.
Point of intersection
Systems of Equations
4.2.1 Introduction to
Systems of Equations
I can identify the point of
intersection as the solution to the
system of equations.
(1 day)
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
I can write a system of linear
equations to represent a problem
situation.
4.2.2 Writing rules
from Word Problems
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.1.C Solve
I can write a system of linear
equations to represent a problem
situation.
Page 165 Math Notes:
Systems of Equations
Vocabulary
( 1 day)
I can graph a system of linear
equations.
I can interpret the meaning of the
solution to a system of equations.
4.2.3 Solving Systems
Algebraically
Page 171 Math Notes:
Solving a Linear
Equation
(1 day)
I can solve a system of linear
equations algebraically.
I can interpret the meaning of the
solution to a system of equations.
I can write a system of linear
equations to represent a problem
situation.
I can solve a system of linear
equations algebraically.
Linear
Equal Values Method
4.2.4 Extending the
Web to Other Linear
Situations
Page 176 Math Notes:
The Equal Value
Method
(2 days)
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Algebra 1 Daily Learning Guide
problems that can be
represented by a
I can interpret the meaning of the
system of two linear
solution to a system of equations.
equations or
inequalities
Assessment: Chapter Closure p. 179-185 (1 day) + Test (1 day)
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Algebra 1 Daily Learning Guide
Core Content: Simplifying and Solving Equations
(Chapter 5 Multiplication & Proportion)
STANDARD
ELD
Standard
Performance
Timeline: 11 days, 11/7-11/23
Benchmark #1 Test: 11/17
Lessons and Objectives
Vocabulary
A1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
expressions that
involve variables.
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A1.2.F Add, subtract,
multiply and divide
polynomials
I can multiply two expressions
(representing side lengths) to find
an expression representing the
total area of a rectangle.
Product
Sum
counterexample
I can multiply two expressions
(representing side lengths) to find
an expression representing the
total area of a rectangle.
Distributive Property
A.1.2.E Use algebraic
properties to factor
and combine like
terms in polynomials.
A1.2.F Add, subtract,
multiply and divide
polynomials.
I can multiply two expressions
(representing side lengths) to find
an expression representing the
total area of a rectangle.
A1.2.F Add, subtract,
multiply and divide
polynomials.
A1.4.A Write and
I can multiply two expressions
(representing side lengths) to find
an expression representing the
total area of a rectangle.
Formative Assessment
Resources and
Pacing
5.1.1 Exploring an
Area Model
Notes and Self
Reflection
Page 192 Math Notes:
Multiplying Algebraic
Expressions with Tiles
(1 day)
5.1.2 Multiplying
Binomials and the
Distributive Property
5-14 (page 194) names
process as distributive
property
(1 day)
I can write algebraic expressions in
equivalent forms using the
distributive property.
Generic rectangles
5.1.3 Using Generic
Rectangles to Multiply
Page 198 Math Notes:
The Distributive
Property
(1 day)
I can write algebraic expressions in
equivalent forms using the
distributive property.
5.1.4 Solving
Equations with
Multiplication
Page 201 Math Notes:
Checking a solution
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solve linear equations
and inequalities in one
variable
A1.4.B
Write and graph an
equation for a line
given the slope and
the y-intercept, the
slope and a point on
the line, or two points
on the line, and
translate between
forms of linear
equations.
A1.7.D Solve an
equation involving
several variables by
expressing one
variable in terms of
the others.
A.1.7.D Solve an
equation involving
several variables by
expressing one
variable in terms of
the others.
grade 7 PE
(1 day)
I can write algebraic expressions in
equivalent forms using the
distributive property.
I can solve equations using the
distributive property.
I can write algebraic expressions in
equivalent forms using the
distributive property.
I can solve equations using the
distributive property.
Linear equation
Standard form
Y=mx+b form
Growth factor
y-intercept
5.1.5 Working with
Multi-Variable
equations
Page 205 Math Notes:
Linear Equations
(1 day)
I can change an equation from
standard form to y = mx +b form.
I can solve an equation involving
multiple variables for a variable.
I can solve an equation involving
multiple variables for a variable.
grade 7 PE
grade 7 PE
5.1.6 Solving
Equations without
Manipulatives
(1 day)
Rational numbers
closed
5.2.1 Setting up and
Solving Proportions
5.2.2 Practice with
Proportions
Optional section: not
HS PEs
Optional section: not
HS PEs
5.2.3 Applying
Page 214 Math Notes:
Rational Numbers and
Closure
Optional section: not
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Proportions
HS PEs
Page 218 Math Notes:
Using Generic
Rectangles to Multiply
Assessment: Chapter Closure p. 220-228 (1 day) + Test (1 day)
Core Content: Systems of Linear Equations (Chapter 6)
STANDARD
ELD
Standard
Performance
A1.4.A Write and
solve linear equations
and inequalities in one
variable
I can represent a problem
situation with an equation and
define what the variables
represent.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
I can represent a problem
situation with an equation and
define what the variables
represent.
Timeline: 12 Days, 11/28-12/13
Lessons and Objectives
Vocabulary
Mathematical
Sentences
Let statement
System of equations
Formative Assessment
Resources and
Pacing
6.1.1 Mathematical
Sentences
Notes and Self
Reflection
Page 234 Math Notes:
Mathematical
Sentences
(1 day)
6.1.2 Solving Word
Problems by Writing
Equations
(1 day)
I can write a system of equations
to solve a word problem.
I can write a system of equations
to solve a word problem.
6.1.3 Solving Problems
by Writing Equations
(1 day)
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A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
I can solve a system of equations
using the substitution method.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
inequalities
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
I can solve a system of equations
by looking at the intersection
point on a graph.
6.2.2 Making
Connections: Systems,
Solutions, and Graphs
I can write a system of equations
to solve a word problem.
(1 day)
A.1.1.C Solve
problems that can be
represented by a
system of two linear
equations or
substitution method
6.2.1 Solving Systems
of Equations Using
substitution
(1 day)
Further guidance is
given for 6-43
Page 248 Math Notes:
The substitution
Method
I can interpret the meaning of a
solution of system of equations.
I can represent a systems of
equations with Algebra tiles and
solve using the Elimination
Method.
I can write a system of equations
to solve a word problem.
I can write a system of equations
to solve a word problem.
I can multiply both sides of an
equation by a numbers to use the
elimination method.
I can determine which method is
most efficient to solve a system of
equations.
Elimination Method
Point of intersection
Coincide
Solution
Solution to the system
of equation
System of Linear
Equations
Infinite solutions
6.2.3 Solving Systems
Using Elimination
Page 252 Math Notes:
Systems of Linear
Equations
Coefficients
constants
6.2.4 More Elimination
(1 day)
Page 255 Math Notes:
Coefficients and
Constants
6.2.5 Choosing a
Strategy to Solve
Systems
Page 258 Math Notes:
Intersection, Parallel,
and coincide
Plane
Intersect
Parallel
coincide
(1 day)
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inequalities
A.1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A.1.8.A Analyze a
problem situation and
represent it
mathematically.
A.1.8.B Select and
apply strategies to
solve problems.
A.1.8.C Evaluate a
solution for
reasonableness, verify
its accuracy and
interpret the solution
in the context of the
original problem.
A.1.8.D Generalize a
solution strategy for a
single problem to a
class of related
problems and apply a
strategy for a class of
related problems to
solve a specific
problem.
A.1.8.E Read and
interpret diagrams,
graphs and text
containing the
symbols, language and
conventions of
mathematics.
A.1.8.G Synthesize
information to draw
conclusions and
evaluate the
Opportunity to review all
standards listed above
6.3.1 Pulling it all
Together
Page 264 Math Notes:
Elimination
(1-3 days)
Reviews content from
Chapters 1 through 6
and helps students
make connections
Could use questions as
PAWS course work
samples, peer teach,
etc.
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arguments and
conclusions of others.
Assessment:
Timeline: 17 Days, Finish by 1/20 End of 1st Semester
Finals Week: 1/23-1/27
Core Content: Linear Relationships (Chapter 7)
STANDARD
ELD
Standard
Performance
Lessons and Objectives
Vocabulary
A.1.4.E Describe how
changes in the
parameters of linear
functions and
functions containing
an absolute value of a
linear expression
affect their graphs and
the relationships they
represent.
I can describe how changes in the
parameters of a linear function
affect the rules, graphs and tables.
A.1.6.D Find the
equation of a linear
function that best fits
bivariate data that are
linearly related,
interpret the slope
and y-intercept of the
line, and use the
equation to make
predictions.
I can draw a line to fit a linear
pattern of data.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
I can use the graph to find the
slope of a linear equation.
Formative Assessment
Resources and
Pacing
Notes and Self
Reflection
7.1.1 y=mx+b
Trend line (EOC uses
line that fits the data)
7.1.2 Using Equations
to make Predictions
Page 279 Math Note:
Trend Line
Slope
Slope triangles
Delta x (x)
Delta y (y)
7.1.3 Measuring
Steepness: An
Introduction to Slope
page 283 Math Notes:
Introduction to Slope
I can use an equation and graph to
make and justify predictions.
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Algebra 1 Daily Learning Guide
including equations for
parallel and
perpendicular lines.
Lattice points
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
A.1.4.E Describe how
changes in the
parameters of linear
functions and
functions containing
an absolute value of a
linear expression
affect their graphs and
the relationships they
represent.
I can use the graph to find the
slope of a linear equation.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
I can find the slope of a line
between two points without using
the graph.
Positive slope
Negative slope
7.1.4 Comparing x
and y
Page 287 Math Notes:
More Solving Systems
by Elimination
Slope
Delta x (x)
Delta y (y)
Horizontal line
Vertical line
Slope ratio
7.1.5 More on Slope
Page 291 Math Notes:
Slope of a line
I can use slope information to
graph a line.
I can identify parallel lines by
comparing slopes.
Math note gives slope
of 0 and undefined
slope
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Algebra 1 Daily Learning Guide
A.1.4.E Describe how
changes in the
parameters of linear
functions and
functions containing
an absolute value of a
linear expression
affect their graphs and
the relationships they
represent.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
I can predict how a graph will
change based on its slope and yintercept.
A1.1.B Solve
problems that can be
represented by linear
functions, equations,
and inequalities.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
I can graph a linear equation given
word problem.
7.2.3 Rates of Change
Page 301 X and Y
intercepts
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
I can write an equation given slope
and one point on that line.
7.3.1 Finding an
equation given slope
and one point
Further guidance is
given in problems 7-80
through 81
I can interpret the meaning of
slope and y-intercept in word
problems.
Y=mx+b form
Slope
y-intercept
slope-intercept form
7.2.1 Equation of a
Line in Context
7-53 to 55 require a
CBL
7.2.2 Slope as a
Measurement of Rate
7-63 requires CBL
Page 298 Math Notes:
Writing the equation
of a line from a graph
7-82 students write
equation algebraically
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Algebra 1 Daily Learning Guide
points on the line, and
translate between
forms of linear
equations.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
without table or graph
given slope and a
point
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
I can write an equation for a line
given its slope and a point on the
line.
A.1.4.B Write and
graph an equation for
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
I can write an equation for a line
given two points on the line.
Parallel lines
Perpendicular lines
Opposite reciprocals
7.3.2 Slopes of Parallel
and Perpendicular
Lines
I can write an equation for a
parallel or perpendicular line.
I can find the equation a line that
fits a linear set of data and use the
line to make predictions.
Page 308 Math Note:
Parallel and
Perpendicular
7-93 students have to
change from standard
form to slopeintercept form
7.3.3 Finding the
Equation of a Line
through Two Points
7-104 needs graphing
calculator; remind
students that units can
be millions
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A1.6.D Find the
equation of a linear
function that best fits
bivariate data that are
linearly related,
interpret the slope
and y-intercept of the
line, and use the
equation to make
predictions.
A.1.4.B Write and
I can write the equation of a line
graph an equation for
from a graph.
a line given the slope
and the y-intercept,
the slope and a point
on the line, or two
points on the line, and
translate between
forms of linear
equations.
A.1.4.E Describe how
changes in the
parameters of linear
functions and
functions containing
an absolute value of a
linear expression
affect their graphs and
the relationships they
represent.
Assessment: Chapter Closure page 317-324 (1 day) + Test (1 day)
7.3.4 Applying
y=mx+b to Find
Equations from Graphs
Check student
understanding on
graphing calculator
knowledge.
Core Content: Quadratics (Chapter 8)
STANDARD
A.1.5.C Solve
ELD
Standard
Performance
Page 314 Math Notes:
Point-Slope Form of a
Line (first and only
mention of this; may
need additional
practice)
Timeline: 17 days, 1/31-2/24
Benchmark #2: 2/23
Lessons and Objectives
Vocabulary
I can rewrite a quadratic equation
factoring
Formative Assessment
Resources and
Pacing
8.1.1 Introduction to
Notes and Self
Reflection
Page 329 Math Notes
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Algebra 1 Daily Learning Guide
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
in factored form.
A.1.5.C Solve
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
A.1.5.C Solve
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
A.1.5.C
Solve quadratic
equations that can be
factored as (ax + b)(cx
+ d) where a, b, c, and
d are integers.
A.1.5.A Represent a
quadratic function
with a symbolic
expression, as a graph,
in a table, and with a
description, and make
connections among
the representations.
A.1.5.A Represent a
quadratic function
with a symbolic
expression, as a graph,
in a table, and with a
description, and make
connections among
I can rewrite a quadratic equation
in factored form.
factor (ed)
reversing
generic rectangles
quadratic
monomial
binomial
trinomial
product
sum
factoring quadratics
(1 day)
8.1.2 Factoring with
generic rectangles
contain new
vocabulary to describe
algebraic expressions
Page 332 Math Notes
contain diagonals of
generic rectangles
(1 day)
I can rewrite a quadratic equation
in factored form.
standard form
8.1.3 Factoring with
special cases
Page 335 Math Notes
on Standard Form of a
Quadratic
(1 day)
I can rewrite a quadratic equation
in factored form.
Factored completely
Common factor
8.1.4 Factoring
Completely
Page 338 Math Notes:
Factoring Quadratic
Expressions
(1 day)
I can describe characteristics of a
parabola given a graph, table and
equation.
Symmetry
vertex
8.2.1 Investigating a
parabola
Page 342 Math Notes:
Symmetry
(1 day)
I can describe characteristics of a
parabola given a graph, table and
equation.
I can solve a problem represented
by a quadratic.
Quadratic web
x-intercepts
roots
8.2.2 Multiple
representations of
quadratics
(1 day)
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Algebra 1 Daily Learning Guide
the representations.
A1.1.D Solve problems
that can be
represented by
quadratic functions
and equations.
A1.5.B Sketch the
graph of a quadratic
function, describe the
effects that changes in
the parameters have
on the graph, and
interpret the xintercepts as solutions
to a quadratic
equation.
A1.5.A Represent a
quadratic function
with a symbolic
expression, as a graph,
in a table, and with a
description, and make
connections among
the representations.
A1.5.B Sketch the
graph of a quadratic
function, describe the
effects that changes in
the parameters have
on the graph, and
interpret the xintercepts as solutions
to a quadratic
equation.
A1.5.C Solve
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
I can identify and interpret the xintercepts and vertex of a
parabola.
I can sketch the graph of a
quadratic using its intercepts.
I can find the x-intercepts and yintercept of a parabola by
factoring.
Root
Quadratic equation
Zero Product Property
8.2.3 Zero Product
Property
Page 349 Math Notes:
Zero Product Property
(1 day)
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A1.1.D Solve problems
that can be
represented by
quadratic functions
and equations.
A1.5.A Represent a
quadratic function
with a symbolic
expression, as a graph,
in a table, and with a
description, and make
connections among
the representations.
A1.5.B Sketch the
graph of a quadratic
function, describe the
effects that changes in
the parameters have
on the graph, and
interpret the xintercepts as solutions
to a quadratic
equation.
A1.5.C Solve
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
A.1.1.D Solve
problems that can be
represented by
quadratic functions
and equations.
A1.5.B Sketch the
graph of a quadratic
function, describe the
effects that changes in
the parameters have
on the graph, and
I can factor and solve quadratic
equations.
I can write the quadratic equation
given a table.
8.2.4 Solving
Quadratic Equations
by Factoring
8-79 previews
inequality symbols
(1 day)
I can sketch the graph of a
quadratic given the equation.
I can match a quadratic graphs to
its rule.
8.2.5 Completing the
Quadratic Web
(1 day)
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Algebra 1 Daily Learning Guide
interpret the xintercepts as solutions
to a quadratic
equation.
A1.5.D Solve
quadratic equations
that have real roots by
completing the square
and by using the
quadratic formula.
A1.8.C Evaluate a
solution for
reasonableness, verify
its accuracy, and
interpret solution in
the context of the
original problem.
A.1.1.D Solve
problems that can be
represented by
quadratic functions
and equations.
A1.5.C Solve
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
A1.5.D Solve
quadratic equations
that have real roots by
completing the square
and by using the
quadratic formula.
I can use the quadratic formula to
solve quadratic equations.
A.1.1.D Solve
problems that can be
represented by
quadratic functions
I can use the quadratic formula to
solve quadratic equations.
roots
Quadratic formula
Standard form
8.3.1 Introduction to
the Quadratic Formula
(1 day)
I can determine the number of
solutions for a quadratic.
Zero Product property
Quadratic Formula
I can solve quadratic equations
that are not in standard form.
I can choose a strategy that is
8.3.2 More Solving
Quadratic Equations
Page 358 Math Notes:
Deriving the Quadratic
Formula. (Students
will not have to derive
the formula on EOC.)
Page 361 Math Notes:
Solving a Quadratic
Equation
(1 day)
Zero Product property
Quadratic Formula
Simplified
Irrational number
8.3.3 Choosing a
Strategy
(1 day)
Page 365 Math Notes:
Simplifying Square
Roots (may need
more support and
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Algebra 1 Daily Learning Guide
and equations.
A1.5.C Solve
quadratic equations
that can be factored as
(ax + b)(cx + d) where
a, b, c, and d are
integers.
A1.5.D Solve
quadratic equations
that have real roots by
completing the square
and by using the
quadratic formula.
more efficient to solve a quadratic
equation.
Real numbers
practice)
Assessment: Chapter Closure page 367 to 372 (1 day) + Test (1 day)
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Core Content: Inequalities (Chapter 9)
STANDARD
A1.4.A Write and
solve linear equations
and inequalities in one
variable.
A1.1.B Solve
problems that can be
represented by linear
functions, equations,
and inequalities.
A1.4.E Describe how
changes in the
parameters of linear
functions and
functions containing
an absolute value of a
linear expression
affect their graphs and
the relationships they
represent.
A1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A1.4.D Write and
solve systems of two
ELD
Standard
Performance
Timeline: 11 Days, 2/27-3/13
Lessons and Objectives
Vocabulary
I can represent a solution to a one
variable inequality on a number
line.
Formative Assessment
Notes and Self
Reflection
9.1.1 Solving linear,
one-variable
inequalities
Page 377 Math Notes:
Inequality Symbols
and directions
I can solve a one-variable
inequality.
9.1.2 More Solving
Inequalities
Page 386 Math Notes:
Solving One-Variable
Inequalities
I can write and solve an inequality
to solve an application problem.
9.2.1 Graphing twovariable inequalities.
I can graph two-variable linear
inequalities.
9.2.2 Graphing Linear
and Non-Linear
inequalities.
9.2.3 Introduction to
Absolute Value
I can evaluate expressions
involving the absolute value
operation.
Inequality
Boundary point
Resources and
Pacing
Absolute value
Page 389 Math Notes:
Definition of Absolute
Value
I can create a table and graph for a
linear inequality that includes an
absolute value operation.
I can identify the region on a
coordinate plane that represents
9.3.1 Systems of
Inequalities
Page 393 Math Notes:
Graphing Inequalities
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Algebra 1 Daily Learning Guide
linear equations and
inequalities in two
variables.
the solution set to a system of
linear inequalities.
A1.4.D Test item
specs: students
understand the
solution set to a
system of inequalities
is a region of the
coordinate plane
when the lines are
graphed in the same
coordinate plane.”
I can write and graph a system of
linear inequalities to represent
and solve an application problem.
with Two Variables
9.3.2 More Systems of
Inequalities
9.3.3 Applying
Inequalities to Solve
Problems
A1.1.B Solve
problems that can be
represented by linear
functions, equations,
and inequalities.
Assessment: Chapter Closure page 401 to 404 (1 day) + Test (1 day)
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Core Content: Simplifying and Solving (Chapter 10)
STANDARD
ELD
Standard
Performance
Timeline: 16 Days, 3/14-4/13
Lessons and Objectives
Vocabulary
A1.8.H Use inductive
reasoning about
algebra and the
properties of numbers
to make conjectures,
and use deductive
reasoning to prove or
disprove conjectures.
I can simplify algebraic expressions
and fractions.
A1.8.D Generalize a
solution strategy for a
single problem to a
class of related
problems and apply a
strategy for a class of
related problems to
solve specific
problems.
I can solve an equation with
algebraic fractions.
A1.8.B Select and
apply strategies to
solve problems.
A1.5.D Solve
quadratic equations
that have real roots by
completing the square
and by using the
quadratic formula.
A1.4.A Test item
specs: Write and
solve linear equations
and inequalities
including the absolute
I can identify the excluded values
for a rational expression. (What
values for the variable will make
the denominator zero in a
fraction.)
Algebraic fractions
Rational expressions
Equivalent expressions
Equivalent equations
Fraction Busters
Method
Rewriting
Looking inside
Undoing
I can use different approaches to
solve a one-variable equation.
I can determine the number of
solutions and find the solutions to
an absolute value equation.
I can determine the number of
solutions and find the solutions for
a quadratic equation in perfect
square form.
I can express solutions in exact or
approximate forms.
Perfect square form
Exact
approximate
Formative Assessment
Resources and
Pacing
10.1.1 Simplifying
Expressions
10.1.2 Multiplying and
Dividing Rational
Expressions.
10.1.3 Solving by
Rewriting
Notes and Self
Reflection
Page 410 Math Notes:
Multiplicative Identity
Property
Page 413 Math Notes:
Rewriting Rational
Expressions
10.1.4 Fraction Busters
Page 419 Math Notes:
Solving equations with
algebraic fractions
10.2.1 Multiple
Methods for Solving
Equations
Page 424 Math Notes:
Methods to Solve One
Variable Equations
10.2.2 Determining
the Number of
Solutions
Page 427 Math Notes:
Perfect square form of
a Quadratic
10.2.3 More Solving
and an Application
Page 430 Math Notes:
Solving Absolute Value
Equations
10.2.4 Solving
Inequalities with
Absolute Value
10.2.5 Solving
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value of an expression.
A1.5.D Solve
quadratic equations
that have real roots by
completing the square
and by using the
quadratic formula.
A1.2.C Interpret and
use integer exponents
and square and cube
roots, and apply the
laws and properties of
exponents to simplify
and evaluate
exponential
expressions
A1.8.H Use inductive
reasoning about
algebra and the
properties of numbers
to make conjectures,
and use deductive
reasoning to prove or
disprove conjectures.
I can change a quadratic equation
from standard form to perfect
square form by using a method
called “completing the square”.
I can solve an equation in perfect
square form.
I can apply the laws of exponents
to simplify and evaluate
expressions.
(Laws of Exponents include:
Power of a Product,
Product of Powers, Quotient of
Powers, Power of a Quotient ,
Zero power, negative exponents)
I can rewrite an expression with a
fractional exponent as the
equivalent square or cube root.
Completing the square
Standard form
Perfect Square form
Absolute Value and
Quadratic Inequalities
10.3.1 Completing the
Square
Page 438 Math Notes:
Forms of a Quadratic
Equation
10.3.2 More
Completing the square
Exponent
Fractional Exponents
Square root
Cube root
Scientific notation
Standard form for
numbers
Base
Exponent
Laws of exponents
10.4.1 Simplifying
Exponential
Expressions
10.4.2 Zero and
Negative Exponents
10.4.3 Fractional
Exponents and
Scientific Notation
Page 444 Math Notes:
Completing the Square
Page 448 Math Notes:
Inductive and
Deductive Reasoning
Page 452 Math Notes:
Laws of Exponents
I can translate between standard
form and scientific notation for
real numbers.
A1.2.A Know the
relationship between
real numbers and the
number line, and
compare and order
real numbers with and
without the number
line. Test Item Specs:
real numbers include
scientific notation,
exponents and roots.
Assessment: Chapter Closure page 454 to 457 (1 day) + Test (1 day)
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Core Content: Functions and Relations (Chapter 11)
STANDARD
A1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A1.3.A Determine
whether a relationship
is a function and
identify the domain,
range, roots, and
independent and
dependent variables.
A.1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
A1.3.C Evaluate f(x)
at a (i.e., f(a)) and
solve for x in the
equation f(x) = b.
A1.2.B Recognize the
multiple uses of
variables, determine
all possible values of
variables that satisfy
prescribed conditions,
and evaluate algebraic
ELD
Standard
Performance
Timeline: 12 Days, 4/16-5/1
Lessons and Objectives
Vocabulary
I can describe the graph of a
function.
I can determine input and output
values for a relation.
I can determine if a relation is a
function.
I can determine domain and range
for a function.
I can identify and describe
connections between the rules,
tables and graphs of functions.
I can describe how changing the
values (parameters) of an
equation affect the graph.
Formative Assessment
Resources and
Pacing
Notes and Self
Reflection
11.1.1 Describing a
graph.
relation
inputs
outputs
f(x) is read “f of x”
function
function notation
domain
range
asymptote
independent variable
dependent variable
all real numbers
11.1.2 Relation
Machines
parameters (not in
text)
11.1.6 Transformation
of a function.
Page 473 Math Notes:
Relations and
Functions
11.1.3 Functions
11.1.4 Domain and
Range
11.1.5 Investigating a
New Relation
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expressions that
involve variables.
A1.4.E Describe how
changes in the
parameters of linear
functions and
functions containing
an absolute value of a
linear expression
affect their graphs and
the relationships they
represent.
A1.5.B Sketch the
graph of a quadratic
function, describe the
effects that changes in
the parameters have
on the graph, and
interpret the xintercepts as solutions
to a quadratic
equation.
A1.4.C Identify and
interpret the slope
and intercepts of a
linear function,
including equations for
parallel and
perpendicular lines.
A1.4.D Write and
solve systems of two
linear equations and
inequalities in two
variables.
A1.4.D Test Specs:
Solve symbolic
problems using a
variety of methods
(addition, subtraction,
substitution) and
I can identify the x and y
intercepts for a function.
I can identify the point(s) of
intersection as the solution(s) for a
system of equations.
Intercept
Intersect
Intersection
11.2.1 Intercepts and
Intersections
11.2.2 Pulling it all
together
I can solve a system of equations
algebraically.
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understand that the
solution to a system
of equations is given
by the coordinates of
the intersection.
A1.3.A Determine
I can identify a relation given clues
whether a relationship
about its symbolic expression,
is a function and
graph, and table.
identify the domain,
range, roots, and
I can identify the domain and
independent and
range of a function.
dependent variables.
A1.3.B Represent a
function with a
symbolic expression,
as a graph, in a table,
and using words, and
make connections
among these
representations.
Assessment: Chapter Closure page 490 to 493 (1 day) + Test (1 day)
Core Content: Exponential Functions (UNIT 5 from Core-Plus Course 1)
STANDARD
A1.1.E Solve problems
that can be
represented by
exponential functions
and equations.
A1.2.C Interpret and
use integer exponents
and square and cube
roots, and apply the
laws and properties of
ELD
Standard
Lessons and Objectives
Performance
Vocabulary
I can solve problems involving
exponential growth or decay.
11.3.1 Relation
Treasure Hunt
Timeline: 13 Days, 5/2-5/18
3rd Benchmark: 5/24
Formative Assessment
Resources and Pacing
Notes and Self Reflection
*Properties of Exponents reviews/extends
material presented in CPM Chapter 10.
I can accurately sketch a graph
of an exponential function.
I can describe how changes in
the starting value (a) and
growth/decay rate (b) affect
the graph of an exponential
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exponents to simplify
and evaluate
exponential
expressions
A1.3.B Represent an
exponential function
with a symbolic
expression, as a graph,
in a table, and using
words, and make
connections among
these representations.
A1.7.A Sketch the
graph for an
exponential function
of the form y = abn
where n is an integer,
describe the effects
that changes in the
parameters a and b
have on the graph,
and answer questions
that arise in situations
modeled by
exponential functions.
A1.7.B Find and
approximate solutions
to exponential
equations.
function.
I can explain how the starting
value (a) and growth/decay
rate (b) are found from a table
of values for an exponential
function.
I can write a NOW-NEXT rule
and an equation of the form
𝑦 = 𝑎𝑏 𝑥 for exponential
functions
I can use a table, graph or
equation to approximate
solutions to an exponential
problem situation.
I can use and apply properties
of exponents to simplify
expressions:
Products of Powers
Power of a Power
Powers of Products
Power of a Fraction
Quotients of Powers
Zero Power
Negative Exponents
Fractional Exponents
I can rewrite square roots in
least radical form.
Assessment:
To do…
Need to finish Exponential Unit to identify pacing using the Core-Plus Unit 5 materials.
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Still need a Supplemental Unit to address standards A1.6A-E: Data/Distributions (Core-Plus??)
Where to fit in A1.7.C?? - Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two forms, explain how rate of change is
represented in each form, and use the forms to find specific terms in the sequence.
Need to do a thorough Gap Analysis – what standards are missing/incomplete?
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