Honors 1 Algebra 2
Scope and Sequence
NCTM Standards covered in this course:
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Problem Solving
Reasoning & Proof
Communication
Connections & Representation
Compute Fluently and make reasonable estimates
Understand numbers, ways of representing numbers, relationships among numbers and
number systems
Understand meanings of operations and how they relate to one another
Understand patterns, relations and functions
Represent and analyze mathematical situations and structures using algebraic symbols
Use mathematical models to represent and understand quantitative relationships
Analyze change in various contexts
Use visualization, special reasoning, and geometric modeling to solve problems
Kentucky State Standards covered in this course:
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I.
Mathematical Communication and Reasoning
Technology
Number Concepts
Mathematical Procedures
Problem Solving
Connect and Integrate Knowledge
Solving Equations and Inequalities (6 days)
A. Classify numbers using subsets of real numbers.
B. Identify properties of real numbers.
C. Evaluate algebraic expressions and formulas.
D. Solve equations for a specific variable using properties of equality.
E. Set up and solve a simple linear equation from a word description.
F. Solve an inequality using the addition, subtraction, multiplication and division rules for
inequalities.
G. Graph the solution to an inequality on a number line.
H. Set up and solve an inequality from a word description.
I. Solve compound inequalities using the “and” & ”or” connectors.
J. Write an “and” type inequality as a three-way inequality.
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Evaluate and solve an absolute value equation.
Solve an absolute value inequality using <, >, ≤, 𝑜𝑟 ≥.
Graph the solution set of an absolute value inequality.
Write the solution set of an absolute value inequality.
Set up and solve an absolute value equation and inequality from a word description
II.
Linear Relations and Functions (10 - 11 days)
A. Determine whether a graph represents a relation or a function.
B. Find the domain and range of a function from a set of points.
C. Evaluate a function written in function notation.
D. Identify the domain and the range of a function from its graph.
E. Using function notation, add, subtract, multiply and divide functions
F. Find the composite of two functions.
G. Graph a linear equation from slope-intercept form.
H. Write a linear function in slope-intercept form given various combinations of
information (slope and y-int, 1 pt and slope, 2 points, etc. )
I. Identify x and y intercepts from slope-intercept form.
J. Write a linear equation in standard Form and identify the constants A, B, C.
K. Graph a linear function in Standard Form using intercepts.
L. Special cases: identify linear equation(s) as perpendicular, parallel, vertical, horizontal,
or direct variation.
M. Use slope to model a “rate of change” between two variables.
N. Compare/contrast Trend line to line of best fit.
O. Identify and graph an absolute value function.
P. Identify and graph a step function.
Q. Identify and graph a piecewise-defined function.
R. Graph a linear inequality using slope-intercept form.
S. Graph an absolute value inequality.
III. Systems of Linear Equations and Inequalities
(6-7 days)
A. Graph a system of linear equations.
B. State whether a system of graphed linear equations is consistent or inconsistent based
on the graph.
C. Find the solution of a linear system based on the graph.
D. Solve a system of linear equations by the Substitution Method.
E. Solve a system of linear equations by the Elimination Method.
F. Determine whether a system is consistent or inconsistent when using the Substitution
or Elimination Methods.
G. Graph a system of linear inequalities and shade the solution region.
H. Find the coordinates of the corners of the solution region of a system of linear
inequalities.
I. Write a system of linear inequalities from a word description.
J. Set up and solve a real world problem using linear programming.
IV. Quadratic Functions (11-12 days)
A. Analyze vertex form of a quadratic equation
B. Identify axis of symmetry, min/max value, vertex from vertex form
C. Graph quadratic function from vertex form
D. Write quadratic function in vertex form given vertex & one other point.
E. Identify vertex and y-intercept from standard form of a Quadratic Function
F. Graph quadratic function from standard form
G. Convert between quadratic function between standard/vertex forms
H. Factor Quadratic Expressions using various methods: Reverse FOIL, GCF, Difference of
Squares, Grouping Method
I. Solve a quadratic equation by factoring by using the Zero Product Property.
J. Set up and solve a quadratic equation from a word description.
K. Find the x-intercepts of a quadratic function by factoring.
L. Solve a quadratic equation by the Square Root Method.
M. Solve a quadratic equation by using the Quadratic Formula.
N. Determine the number and type of roots of a quadratic equation by using the
discriminant.
O. Write the square root of a negative number as an imaginary number (i).
P. Simplify powers of i.
Q. Identify the real and imaginary parts of a complex number written in a + bi form.
R. Add and subtract complex numbers.
S. Multiply complex numbers and simplify the result.
V.
Polynomials Functions (5-6 days)
A.Classify polynomials by degree & # of terms
B. Multiply polynomials using appropriate property
C. Finding Linear Factors & Zeroes & identify multiplicity
D. Writing polynomials from zeroes
E. Factor and solve 4-term polynomial with Grouping Method
F. Factor and solve polynomials using GCF, diff of squares & sum/diff of cubes
G. Dividing Polynomials using long & synthetic division
VI. Rational Functions (5-6 days)
A. Simplifying Exponential Operations using exponent rules:
Power Rule, Quotient Rule, Negative Exponents etc.
B. Simplify rational expressions
C. Multiply & divide rational expressions
D. Add & subtract Rational Expressions
E. Solve Rational Equations
VII. Radicals & Rational Exponents (8-9 Days)
A. Simplify square, cube & fourth roots of whole numbers
B. Simplify square, cube, fourth roots of alg expressions
C. Multiply & divide radical expressions, simplify
D. Rationalize the denominator of radical expressions (when necessary)
E. Add & subtract radical expressions, simplify
F. Rationalize denominator for binomial radical
G. Write a radical expression using rational exponents
H. Simplify an expression containing rational exponents
I. Perform operations with expressions containing rational exponents
J. Solve radical equations & check for extraneous solutions
K. Solve challenging radical equations
VIII. Matrices (6-7 days)
A. Determine dimensions of matrix, find specific elements
B. Identify row, column, and zero matrices
C. Determine conformable matrices
C. Add/Subtract conformable matrices
D. Multiply by a scalar
E. Multiply two conformable matrices
F. State dimensions of product of two matrices
F. Perform mixed operations
G. Perform matric math on a graphing calculator
H. Find determinants of 2x2’s
I. Determine if two matrices are inverses
J. Determine if a matrix has an inverse
K. Find inverse of 2x2 by hand (use determinant)
L. Find determinant and inverse of 3x3, 4x4 on calculator
M. Code and decode messages using matrix inverses
Revised August 2015