J.O. Combs Unified School District #44
Honors Algebra 1
Table of Contents for Honors Algebra 1
Number Systems ............................................................................................................................... 4
Expressions........................................................................................................................................ 6
Solving Linear Equations .................................................................................................................. 8
Graphing Linear Equations ............................................................................................................... 10
Writing Equations of Lines ............................................................................................................... 12
Absolute Value in One Variable ....................................................................................................... 14
Absolute Value in Two Variables ..................................................................................................... 16
System of Linear Equations .............................................................................................................. 18
Linear Inequalities............................................................................................................................. 20
Exponents .......................................................................................................................................... 22
Quadratic Functions .......................................................................................................................... 24
Applications of Quadratic Functions................................................................................................. 26
Polynomials....................................................................................................................................... 28
Functions ........................................................................................................................................... 30
Rational Functions............................................................................................................................. 32
2
Number Systems
3
Number Systems
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving number systems, the student:
• applies the properties of real numbers
• classifies a number in the real number system
• converts a repeating decimal into the ratio of two integers
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o distributive property of multiplication over addition
o commutative, associative, and the inverse properties of addition and
multiplication
o identity element
o irrational, rational, integer, whole, and natural numbers
o fractions, decimals, percents, ratio
o interval notation (0,∞), inequality notation x > 0
o exact solution, approximate solution
• recognizes or recalls the accuracy of basic solutions or information and performs
basic operations such as:
o identifying accurate statements about the properties of real numbers
o identifying accurate statements about the real number system
o identifying examples of repeating decimals converted into the ratio of
two integers
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
4
Expressions
5
Expressions
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving expressions, the student:
• uses the order of operations to simplify and/or evaluate an algebraic expression
(required: absolute value)
• translates between verbal and algebraic expressions
• evaluates application problems (required: surface area, volume)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o order or operations (PEMDAS)
o variable
o constant
o grouping symbols
o absolute value
o surface area formulas, volume formulas
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
6
Solving Linear Equations
7
Solving Linear Equations
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving the solving of linear equations,
the student:
• translates between verbal and algebraic equations
• solves linear equations (required: proportions, solving for y, and literal equations)
• analyzes, explains, and corrects an error when solving a linear equation
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o equation sum, difference, quotient, product, quantity
o squared
o proportion, rate, ratio, measurement unit
o variable, solution, coefficient, constant, inverse operations, like terms, no
solution, all real number solutions
o literal equations
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
8
Graphing Linear Equations
9
Graphing Linear Equations
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving graphing linear equations, the
student:
• graphs in two variables
• graphs the equation of a line into slope-intercept, point-slope, and standard form
without creating a table of values
• finds the slope given a linear graph and critical information
• determines if a set of data represents a constant rate of change
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o coordinate plane, origin, x/y-axis, ordered pair, quadrant
o slope, rate of change, undefined slope, zero slope, positive slope, negative
slope, subscripts
o vertical line, horizontal line, oblique line (slanted)
o x/y-intercepts
o point-slope form, slope-intercept form, standard form
o coefficient, constant
o input, output
o linear equation, linear pattern
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
10
Writing Equations of Lines
11
Writing Equations of Lines
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving writing equations of lines, the
student:
• writes the equation of a line in point-slope, slope-intercept (required: from a graph
and given critical information)
• writes the equation of parallel and perpendicular lines
• rewrites the equation of a line into slope-intercept, point-slope, and standard form
• defines variables, sets up an equation, solves, and analyzes linear application
problems (required: rate of change)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o point-slope form, standard form, slope-intercept form
o slope, y-intercept, slope formula
o parallel, perpendicular,
o undefined slope, zero slope, opposite reciprocal slopes
o variable, coefficient, integers
o rate of change
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
12
Absolute Value in One Variable
13
Absolute Value in One Variable
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving absolute value in one variable,
the student:
• solves absolute value equations in one variable
• solves absolute value inequalities in one variable
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o absolute value
o variable
o equation
o inequality
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
14
Absolute Value in Two Variables
15
Absolute Value in Two Variables
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving absolute value in two variables,
the student:
• graphs absolute value functions
• graphs absolute value inequalities
• solves absolute value equations in two variables
• solves absolute value inequalities in two variables
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o absolute value
o variable
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
16
System of Linear Equations
17
System of Linear Equations
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving systems of linear equations, the
student:
• defines variables, sets up, and solves application problems of a system (required:
distant rate time, mixture, percentage)
• solves and analyzes a system of equations (required: elimination, substitution)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o matrices (addition/subtraction, multiplication by a scalar)
• performs basic processes
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
18
Linear Inequalities
19
Linear Inequalities
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving linear inequalities, the student:
• solves linear inequalities in one variable
• graphs linear inequalities in one variable
• graphs in two variables (required: linear inequalities, systems of inequalities)
• solves application of linear inequalities in two variables (required: linear
programming)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o proportion
o interval notation
o inequality notation
o compound inequality
• performs basic operations such as:
o using interval notation and inequality notation to represent a solution set
o graphing in one variable (required: compound inequalities)
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
20
Exponents
21
Exponents
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving exponents, the student:
• uses the properties of exponents (required: scientific notation)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o scientific notation
o exponent
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
22
Quadratic Functions
23
Graphing Quadratic Functions
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving quadratic functions, the
student:
• simplifies radical expressions to equivalent forms (required: addition, subtraction,
multiplication, division)
• solves quadratic equations (required: by extracting the square root, factoring,
completing the square, and the quadratic formula)
• graphs a quadratic function (required in vertex form and standard form using
transformations)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o radical
o quadratic equation
o quadratic function
o square root
• performs basic operations such as:
o representing a solution in exact form and approximate form (required:
radicals)
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
24
Applications of Quadratic Functions
25
Applications of Quadratic Functions
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving applications of quadratic
functions, the student:
• sets up, writes the equation, and solves quadratic application problems (required:
position function)
• writes the equation of a quadratic function (required: given three points, a vertex and
a point, given x-intercepts)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o radical
o quadratic equation
o quadratic function
o square root
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
26
Polynomials
27
Polynomials
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving polynomials, the student:
• factors a polynomial (required: greatest common factors, grouping, quadratic like)
• performs operations on polynomial expressions (required: adding, subtracting,
multiplying)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o polynomial
o greatest common factor
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
28
Functions
29
Functions
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving functions, the student:
• determines if a relation is a function numerically and graphically
• determines domain and range of a function given an output table or graph
• evaluates a function using function notation for a given integer
• performs operations on functions (required: composition of linear/quadratic
functions)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o domain
o range
o function
o integer
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
30
Rational Functions
31
Rational Functions
Honors Algebra 1
Level 4.0
In addition to Level 3.0, in-depth inferences and applications that go beyond what was taught.
Level 3.5
In addition to Level 3.0 performance, in-depth inferences and applications with partial
success.
Level 3.0
While engaged in grade appropriate tasks involving rational functions, the student:
• simplifies rational expressions (required: adding, subtracting, multiplying and
dividing)
• solves rational equations (required: determine domain restrictions)
• graphs rational functions (required: vertical asymptotes, horizontal asymptotes of the
x-axis)
The student exhibits no major errors or omissions.
Level 2.5
Level 2.0
No major errors or omissions regarding the simpler details and process and partial
knowledge of the more complex ideas and processes.
There are no major errors or omissions regarding the simpler details and processes
as the student:
• recognizes or recalls specific terminology such as:
o rational expression
o rational equation
• performs basic operations
However, the student exhibits major errors or omissions regarding the more
complex ideas and processes.
Level 1.5
Level 1.0
Level 0.0
Partial knowledge of the simpler details and processes but major errors or omissions
regarding the more complex ideas and procedures.
With help, a partial understanding of some of the simpler details and processes and some of the more
complex ideas and processes.
Level 0.5
With help, a partial understanding of some of the simpler details and processes but not the
more complex ideas and processes.
Even with help, no understanding or skill demonstrated.
32