Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective,
concerned citizens and contributing members of the global community.
Course Number
420
Title Algebra I Honors
Grade 9
# of Days 60
Course Description
This accelerated course completes the Algebra I course started in grade 8. Topics will include exponents and
powers, quadratic equations and square roots, polynomials, linear systems, factoring, and functions. Symbolism
is used to express abstract ideas. Real life applications will be included for all topics. Students achieving Honor
Roll grades should continue on into Algebra II Honors, Trig/Precal Honors, and Advanced Placement math
courses. This course addresses Whitman-Hanson Student Learning Expectations 1-6.
Instructional Strategies
Instructional Strategies include but may not be limited to the following:
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Student Learning
Expectations
Whole class instruction
Individual work: homework, classwork, assessments
Group work: activities, problem solving
Experiments, demonstrations, investigations
Video presentations
Use of technology (graphing calculators and computers)
Projects
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Read, write and communicate effectively.
Utilize technologies appropriately and effectively.
Apply critical thinking skills.
Explore and express ideas creatively.
Participate in learning both individually and collaboratively.
Demonstrate personal, social, and civic responsibility.
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Part A Major Concepts
Major Concepts
Linear Equations and Their Graphs - Chapter 6
Rate of Change and Slope
Definitions
Topics
Topics
Student Expectations
Student Expectations
Define rate of change, slope, positive slope, negative slope, zero slope,
undefined slope
Find the rate of change using a table
Find the rate of change using two points on a graph
Find the slope using two given points or two points on a graph
Find the slope of a horizontal line using two points or memorization
State the slope of a vertical line is undefined
Calculating Slope
Slope-Intercept Form
Definitions
y-intercept
Slope-Intercept Form
Define y-intercept, slope-intercept form
Find the y-intercept by looking at a graph
Find the slope and y-intercept by looking at the equation y = mx + b
Write an equation in slope-intercept form given the slope and the y-interce
Write an equation in slope-intercept form from a graph
Graph an equation in slope-intercept form
Standard Form
Definitions
x and y-intercepts
Define standard form of a linear equation, x-intercept
Find x-intercept by making y=0 and solving for x
Find y-intercept by making x=0 and solving for y
Graph a line using the x and y-intercepts
Graph a horizontal line by keeping the y value constant
Graph a vertical line by keeping the x value constant
Transform an equation in slope-intercept form to standard form through
algebra
Point-Slope From and Writing
Linear Equations
Definitions
Define point-slope form
Point-Slope Form
Graph a line in point-slope form
Write the equation of a line in point-slope form given a point and a slope
Write the equation of a line in point-slope form given two points
Write the equation of a line in point-slope form given a table of data
Definitions
Define parallel lines, perpendicular lines, negative reciprocal slope, right
angle
Determine whether two lines are parallel given any form of the linear
equations
Parallel & Perpendicular Lines
Parallel Lines
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Write the equation of a line through a given point, parallel to another line
Find the slope of a line perpendicular to a given line
Write the equation of a line through a given point, perpendicular to a given
line
Perpendicular Lines
Scatter Plots & Equations of
Lines
Absolute Value Equations
Definitions
Define line of best fit, correlation coefficient
Trend Lines or Lines of Best Fit
Draw a trend line (line of best fit) from a scatter plot
Use points on the trend line to estimate the equation of the line
Use a graphing calculator to find the equation of a line of best fit
Use a graphing calculator to find the correlation coefficient, r
Definitions
Absolute Value Equations
Define absolute value equation, translation
Graph the absolute value equation with a vertical translation
Graph the absolute value equation with a horizontal translation
Write the equation of an absolute value function using horizontal and/or
vertical translations to y = |x|
Major Concepts
Topics
Systems of Equations and Inequalities - Chapter 7
Solving Systems by Graphing
Definitions
Solving Systems by Graphing
Student Expectations
Define system of equations, solution of a system of equations
Manually graph two lines and find any points of intersection
Use Technology to graph two lines and find any points of intersection
Identify a system with one solution
Identify a system with no solution
Identify a system with an infinite number of solutions
Solving Systems Using
Substitution
Substitution Method
Use the Substitution Method to find any solutions when the coefficient whe
you substitute is 1
Use the Substitution Method to find any solutions when the coefficient whe
you substitute is not 1
Solving Systems Using
Elimination
Elimination Method
Use the Elimination Method and addition to solve a system where one pai
like terms are opposites.
Use the Elimination Method and subtraction to solve a system where one
of like terms are the same.
Use the Elimination Method after multiplying one equation to get a pair of
opposites.
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Use the Elimination Method after multiplying two equations to get a pair of
opposites.
Applications of Linear Systems
Writing Systems of Linear Equations
Write a system of linear equations from a verbal description and solve
Linear Inequalities
Definitions
Graphing Linear Inequalities
Define linear inequality, solutions of an inequality
Use dotted or solid lines and shading to represent the solution to a linear
inequality
Transform the given inequality if necessary to facilitate graphing
Check a point on the graph to verify the solution
Systems of Linear Inequalities
Solving by Graphing
Graph the linear inequalities on the same coordinate plane and indicate an
solution
Write a system of linear inequalities from a verbal description and solve by
graphing
Writing Systems of Linear Inequalities
Part C Major Concepts
Exponents and Exponential Functions - Chapter 8
Types of Exponents
Zero Exponent
Topics
Student Expectations
Know that every nonzero number raised to the zero power is one ex: a0 =
Negative Exponent
Know that every nonzero number raised to a negative exponent is one ove
that number raised to the positive of that exponent ex: a-n = (1/an)
Simplify expressions involving exponents
Recognize scientific notation
Manually Convert between scientific notation and standard notation
Order numbers written in scientific notation
Scientific Notation
Properties of Exponents
Multiply two numbers with the same base ex: am • an = an+m
Multiplication Properties of Exponents
Raise a number with an exponent to a power ex: (am)n = am•n
Raise a product to a power ex: (ab)m = am • bm
Divide powers with the same base ex: (am/an) = am-n
Division Properties of Exponents
Raise a quotient to a power ex: (a/b)m = (am/bm)
Geometric Sequences
Definition
Calculate the common ratio of a geometric sequence
Determine whether a sequence is arithmetic, geometric or neither
Determine the first term, common ratio, and term number of a rule
Create a rule given a geometric sequence: A(n) = a • r n-1
Rules
Exponential Functions
Identify that an exponential function is in the form y = a • b x
Definition
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Graphing
Generate tabular data from exponential functions
Graph exponential functions utilizing tabular data
Identify exponential growth functions in the form y = a • b x when a>0 and b
Exponential Growth
Identify the growth factor from the function (b)
Use functions to reflect compound interest with varying interest periods
Identify exponential decay functions in the form y = a • bx when a>0 and
0<b<1
Exponential Decay
Major Concepts
Polynomials and Factoring - Chapter 9
Adding/Subtracting
Definitions
Polynomials
Identify the decay factor from the function (b)
Student Expectations
Topics
Identify and differentiate between a mono-, bi-, tri-, and poly-nomials
Determine degrees of polynomials
Write polynomials in Standard Form
Simplify polynomials by combining like terms
Adding and Subtracting Polynomials
Multiplying Polynomials
Multiplying a Monomial and a Trinomial
Multiplying a Binomial and a Trinomial
Multiplying a Binomial and a Binomial
Alternative Methods of Multiplying Polynomials
Factoring Polynomials
Multiply polynomials using the Distributive Property
Multiply polynomials using the vertical or horizontal method
Multiply using the Distributive Property
Multiply using First Outside Inside Last (FOIL) method
Identifying special cases with squares and differences of squares
Multiply polynomials using the area model
Multiply polynomials using algebra tiles
Finding the Greatest Common Factor (GCF)
Factoring out a Monomial
Factoring ax2 + bx + c where a = 1
Find GCF using prime factorization or common factors
Use the GCF to factor out a monomial from a polynomial
Factor a trinomial into two binomials
Factoring ax2 + bx + c where a ≠ 1
Factor a trinomial into two binomials
Identify perfect square polynomials and factor them
ex: a2 + 2ab + b2 = (a + b)2 and a2 − 2ab + b2 = (a − b)2
3rd Degree Polynomials with Four Terms
Major Concepts
Topics
Quadratic Equations and Functions - Chapter 10
Square Roots
Working with Square Roots
Factor four term polynomials by grouping
Student Expectations
Standard Form
Convert quadratic functions into Standard Form ex: y = ax2 + bx + c
Quadratic Function
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State the square root of a number (and whether it is rational or irrational)
Know the perfect squares from 0-400
Graphing Quadratic Equations
Quadratic Equation
Convert quadratic equations into Standard Form ex: ax2 + bx + c = 0
Definitions
Define and label a parabola, axis of symmetry, vertex, and the maximum o
minimum point of a parabola
Create a table of values to graph a parabola from a quadratic equation
Use x= −b/2a to find the axis of symmetry of a parabola
Creating Coordinate Tables
Finding the Axis of Symmetry
Solving Quadratic Equations
Various Methods to Solve Quadratic Equations
Solve quadratic equations by graphing (creating parabolas)
Solve quadratic equations by using algebra and square roots
Solve quadratic equations by factoring polynomials
Solve quadratic equations by completing the square
Solve quadratic equations by using the Quadratic Formula
Utilize the discriminant to determine whether there are two, one or no
solutions to a quadratic equation
Linear, Quadratic and
Exponential Models
Choosing a Model from Graphs, Data and Verbal
Descriptions
Identify and differentiate between the following types of functions:
Linear, Quadratic and Exponential
Major Concepts
Topics
Radical Expressions and Equations- Chapter 11
Simplifying Radicals
Simplifying Radicals in products and quotients
The Pythagorean Theorem
Parts of the right triangle
a^2 + b^2 = c^2
The Distance & Midpoint
Formulas
Distance formula
Midpoint Formula
Special Right Triangles
Operations with Radical
Expressions
Computation with like and unlike radicals
Solving Radical Equations
Solving Radical Equations
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Student Expectations
Apply the Multiplication Property of Square Roots
Apply the Division Property of Square Roots
Simplify radicals
Identify parts of a right triangle
Solve for a missing side of a right triangle using the Pythagorean Theorem
Use side of a triangle to prove the triangle is a right triangle
Find the distance between 2 points using the Distance Formula
Find the midpoint between 2 points using the Midpoint Formula
Use the Midpoint Formula to find the center of a circle from the diameter
Recognize 30-60-90 and 45-45-90 right triangles
Solve for missing sides of a special right triangle using the ratio of side
lengths
Add and subtract like radicals
Multiply monomial and binomial radical expressions
Rationalize denominators using conjagates
Solve by isolating the radical and then raising the equation to a power
Solve equations with radicals on both sides by squaring both sides of the
equation
Find extraneous solutions
Use y = sqrt(x) to graph y = sqrt(x+c) and y = sqrt(x) +c
Graphing Square Root
Functions
Graphing by hand using translations
Trigonometric Ratios
Sine, Cosine and Tangent of right triangles
Major Concepts
Rationall Expressions and Functions- Chapter 12
Simplifying Rational Expressions
Factored Form
Multiplying and Dividing
Rational Expressions
Topics
Factor the rational expression and simplify by diving out common factors
Multiplication
Apply rules for multiplying fractions to algebraic expressions
Multiply and put final answers in simple form
Apply rules for dividing fractions to algebraic expressions
Divide and put final answers in simple form
Simplify complex fractions
Divide a polynomial by a monomial
Divide a polynomial by a binomial
Division
Dividing Polynomials
Find the domain of the sqrt function
Use trig ratios to find missing sides and angles in triangles
Apply right triangle trig in angle of elevation/angle of depression problems
Student Expectations
Long division
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