| | Mrs. Krol's Math Class
Algebra I and TAKS Remediation
phone 469-713-5977
email krolt@lisd.net (best way to contact me)
conference period: 8th
If at anytime you are feeling lost in math class, please make sure to contact me as soon as possible for additional tutoring! This is a high school level course and it is imperative that you are successful in Algebra I. Algebra I is the foundation of all high school and college math. I know that you will all do very well this year. 
Helpful Links and Websites
| |
|
| 1 |
|
Website Resources For Textbooks
Holt Textbook
my.hrw.com
You can find extra worksheets, interactive practice problems, and quizzes. You can also view actual textbook pages. There is also an online glossary in many different languages. Please use this resource to help you.
Even if you do not have computer access at home- you may always use a computer at school: in the library, computer lab, or in my classroom.
Username: killian25 Password: mustangs
On-line Book Access for 8th grade Algebra
1. Go to http://www.classzone.com/
2. Click on HS Math
3. Click on Texas
4. Click “GO”
*** See attached directions for more information***
|
| 
|
|
| 2 |
|
warm ups
Students are responsible for all warm ups. Students will be randomly assessed over warm ups completed in class.
1st Six Weeks:
2nd Six Weeks:
3rd Six Weeks:
4th Six Weeks:
5th Six Weeks:
6th Six Weeks:
|
|
|
|
| 3 |
Unit 1- Review of the Basics
Covers parts (but not all) of Chapters 1 and 2
Topical Questions:
How do you evaluate an algebraic expression?
How do you use order of operations to solve expressions?
How do you translate a verbal expression to an algebraic model?
How can you use expressions or equations to describe verbal situations?
How can you represent functional relationships as ordered pairs, mappings, verbal descriptions, tables and equations?
How can you generate a table from a given function?
How can you generate a function from a given table?
How can we state the domain and range, using inequality symbols, of a function containing continuous data?
TOPICS:
Order of Operations
Writing Expressions, Equations, and Inequalities
Functions
Integers and Rational Numbers
Real Numbers
Distributive Property
Square Roots
VOCABULARY:
Variable
Algebraic Expression
Power
Exponent
Base
Order of Operations
Verbal Model
Rate
Unit Rate
Open Sentence
Equation
Inequality
Solutation of an Equation or Inequality
Formula
Function
Domain
Range
Independent Variable
Dependent Variable
Whole Numbers
Integers
Rational Numbers
Opposites
Absolute Value
Conditional Statement
Distributive Property
Term
Coefficient
Constant Term
Like Term
Square Root
Radicand
Perfect Square
Irrational Number
Real Number
|
|
|
|
| 4 | Unit 2A- Solving and Graphing Linear Equations and Inequalities
Use Chapter 3 in Textbook as a reference
Topical Questions
How can you use algebra tiles to solve an equation?
How do you solve two-step equations?
How do you solve real-life situations using linear equations?
How do you use your algebra skills to solve an inequality? |
How do you solve equations with variables on both sides?
What is the solution to an equation if the value of x=___ ?
What is the solution to an equation if the value of y=___ ?
How do you write and solve proportions in real-life situations?|
How do you use similar figures to solve problems?
Topics:
one and multi-step equations
Equations with variables on both sides
Writing and Solving ratios and Proportions
Using Cost and Income in Proportions
Vocabulary:
Inverse Operation
Equivalent Equations
Identity
Ratio
Proportion
Cross Product
Scale Drawing
Scale Model
Scale
Literal Question |
|
|
| 5 | Unit 2B- Solving and Graphing Linear Equations and Inequalities
Chapter 3 in Textbook
Topical Questions
How do you solve a percent problem?
How do you solve a percent of change problem?
How do you rewrite equations?
How do you rewrite formulas?
Topics
Distance
Percents
Percent of change
Rewrite formulas and equations
Vocabulary
Percent of Change
Percent of Increase
Percent of Decrease
|
|
|
| 6 | Unit 2C
Solving and Graphing Linear Equations and Inequalities
Chapter 6 in Textbook
Topical Questions
How do I use my algebra skills to solve an inequality?
How do you determine if an answer is reasonable in an inequality?
How do you set up and solve an inequality in a real world situation?
How do you set up and solve an inequality in a real world situation?
How do you solve absolute value equations?
How do you solve absolute value inequalities?
How do you graph a linear inequality in two variables?
What does the graphical representation of an inequality mean?
How would you describe the differences between graphing an equation and graphing an inequality?
Topics
Solving Multi-step Inequalities
Compound Inequalities
Absolute Value Equations and Inequalities
Problem Solving with Inequalities
Vocabulary
Graph of an inequality
Equivalent inequalities
Compound inequality
Absolute value equation
Absolute deviation
Linear inequality in two variables
Graph of an inequality in two variables |
|
|
| 7 | Unit 2D Solving and Graphing Linear Equations and Inequalities
Chapter 4 and 6.7
Topical Questions
How do you plot points in a coordinate plane?
How can you find specific function values?
How can you use a table of values to graph a linear equation?
How do you graph x= and y = lines?
How do I connect ordered pairs to algebraic representation?
What are some real life applications where the domain values would be restricted?
How do you identify the domain and range of a given linear function?
How do I turn off and on the calculator?
How do I make the screen darker and lighter?
What are the different buttons on the graphing calculator?
How can you find the x- and y-intercept from the graph?
How can you find the x- and y intercept from an equation?
How can you find the x- and y-intercepts of a linear function?
How do you write the x- and y-intercepts as ordered pairs?
How do you find the rate of change (slope), given a line?
How do you relate the rate of change (slope) in terms of the units used in the problem?
How can you determine slope from a graph? a table? an algebraic representation?
How do we interpret the meaning of slope?
How do you connect real world situations with graphical representations?
How do you graph a linear function in slope-intercept form?
How can you determine slope from an algebraic representation?
How do changes in m & b affect linear graphs?
How does changing the slope and/or y-intercept of real life problems affect the graphs of those situations? |
How do I graph a linear parent function? |
How can you find specific function values?
Topics
plotting points
graphing linear equations
graphing calculator
graphing using intercepts
slope
rate of change
slope-intercept form
graphing linear functions
graphing linear inequalities
Vocabulary
quadrant
standard form of a linear equation
linear function
x-intercept
y-intercept
slope
rate of change
slope-intercept form
parallel
|
|
|
| 8 | Unit 3
Writing and Analyzing Linear Equations
Chapter 5
Topical Questions
How would you represent a linear graph in standard form?
How would you represent a linear graph in y- intercept form?
Given slope and y-intercept, how would you write the equation of the line?
How would you write/graph the equation of a line given point and slope in y= form and f(x) form?
How would you write/graph the equation of a line given two points in y= form and f(x) form?
How would you write the equation of a line given a point and either the slope or y-intercept from another equation?
How would you find the y-intercept of a line given two other points on the line?
How would you find the equation of a line of a geometric figure on a coordinate grid?
How do you generate an equation from a real world situation?
How do I make a table of data from a problem situation?
How do I connect an algebraic representation with a verbal description?
How would you write/graph the equation of a line given in point-slope form?
How would you write/graph the equation of a line given two points in point-slope form?
How would you write/graph the equation of a line parallel to another line through a given point?
How would you write/graph the equation of a line perpendicular to another line through a given point? |
How do you generate an equation from a real world situation?
How do I make a table of data from a problem situation?
How do I connect an algebraic representation with a verbal description?
Topics:
slope intercept
families of lines
equations in standard form
equations of parallel and perpendicular lines
scatter plots
line of fit
Vocabulary:
point-slope form
converse
perpendicular
scatter plot
correlation
line of fit
best-fitting line
linear regression
zero of a function
|
|
|
| 9 | Unit 4
Systems of Linear Equations and Inequalities
Chapter 7
Topical Questions:
How can you find the solution to a system from the graph?
How is the point of intersection between two lines significant?
How can you use a table to solve a system of linear equations?
How can you solve a system of equations using graphing with or without technology?
How can you substitute to solve systems of linear equations?
How do you use elimination to solve systems of linear equations?
How do you use multiplication to solve systems of linear equations?
How can we determine a system of equations given a scenario?
How do you set up a system of equations given a verbal scenario?
What is the meaning of a solution to a scenario represented by the linear system?
How do you solve a system of linear inequalities
Topics
Formulating and solving systems of equations
Solving systems applications
Solving systems of inequalities
Special types of linear systems
Vocabulary
System of linear equations
Solution of a system of linear equations
Consistent independent systems
Inconsistent system
System of linear inequalities
Solution of a sytem of linear inequalities
Graph of a system of linear inequalities |
|
|
| 10 | Unit 5A
Exponents, Factoring, and Quadratics
Chapter 8
Topical Questions
How can you use the laws of exponents to solve real-life situations?
How do you apply the laws of exponents when dividing monomials?
How would you describe what to do with a negative exponent?
How do you apply the laws of exponents when solving real life situations?
How do you convert an expression in standard form into scientific form?
How do you convert an expression in scientific form into standard form?
How do you multiply/divide expressions in scientific notation?
How do you apply the law of exponents when solving real life situations? |
How do you write and graph equations for exponential growth functions?\
How do you write and graph exponential decay
Topics
Exponent propoerties
Zero and negative exponents
Scientific notation
Exponential growth
Exponential decay
Vocabulary
scientific notation
exponential function
exponential growth
compound interest
exponential decay |
|
|
| 11 | Unit 5B
Exponents, Factoring, and Quadratics
Chapter 9
Topical Questions
How do you determine the degree of a monomial?
How do you determine the degree of a polynomial?
How do you add polynomials?
How do you subtract polynomials?
What strategies are used to multiply polynomials?
What case does FOIL apply to?
How do you identify a “square of a binomial”?
How do you identify a "difference of squares"?
Topics
add, subtract, and multiply polynomials
FOIL method
special products of polynomials
Vocabulary
monomial
degree
polynomial
leading coefficient
binomial
trinomial
roots
vertical motion model
perfect square trinomial
factor by grouping
factor completely |
|
|
| 12 | Unit 5C
Exponents, Factoring, and Quadratics
Topical Questions
How would you determine (find) the GCF of a polynomial expression?
How do you solve polynomial equations in factored form?
How can you use quadratic equations to model real-life situations?
How can you use factoring to solve quadratic equations?
How can you write a polynomial expression to represent the perimeter of a figure?
How can you write a polynomial expression to represent the area of a figure?
Why do you factor?
How do you factor a difference of square trinomial?
How do you factor a perfect square trinomial?
How would you describe the difference between the solutions of a perfect square trinomial and the solutions of a perfect square trinomial and solutions to a difference of squares trinomials?
Create a problem that would need more than one method of factoring.
Topics|
monomials factors of polynomials
special products of polynomials (difference of squares and square of binomials)
solve polynomial equations in factored form
factor x2 + bx + c
factor ax2 + bx + c
factoring applications
Vocabulary
|
|
|
| 13 | Unit 5D and 5E (will be tested together)
Exponents, Factoring, and Quadratics
Chapter 10
Topical Questions
How do you graph a quadratic function?
What effect does "a" have on the graph of y = ax + c?
What effect does "c" on the graph of y = ax2 + c?
How can you determine the range of a quadratic function?
In a problem solving situation, how do you know which would be domain values and range values?
How do I find the vertex (max or min) and axis of symmetry of a quadratic function?
How does the solution of a perfect a square trinomial relate to the vertex of a parabola?
How does the solution of a difference of squares trinomial relate to the vertex of a parabola?
How you solve a quadratic equation using a graph?
How do you determine the number of solutions of a graphed quadratic function?
Given a table, how do you find the solutions to a quadratic equation?
How do you find the solutions to quadratic equations using square roots?
How do you solve a quadratic equation using completing the square?
How do you solve a quadratic equation algebraically that cannot be factored?
What is the discriminant?
How do linear, exponential, and quadratic models differ?
Topics
graphing with and without calculator
solving quadratics by graphing
using square roots to solve quadratics
solving quadratics by completing the square
quadratic formula
interpreting the discriminant
compare linear exponential and quadratic models
Vocabulary
quadratic function
parabola
parent quadratic function
vertex
axis of symmetry
minimum value
maximum value
quadratic equation
completing the square
quadratic formula
discriminant |
|
|
| 14 | Unit 6
Geometry Connections with Radicals
Chapter 11
Topical Questions
How do you graph square root functions?
How can we simplify radical expressions?
How can we solve radical equations?
How can we apply the Pythagorean Theorem?
How can we apply the converse of the Pythagorean Theorem?
How do we apply the distance formula?
How do we apply the midpoint formula?
Topics
simplify radical expressions
multiply and divide radical expressions
add and subtract radical expressions
solve radical equations
Pythagorean theorem
distance and midpoint formula
Vocabulary
radical expression
radical function
simplest form of a radical expression
hypotenuse
legs of a right triangle
Pythagorean theorem
distance formula
midpoint
midpoint formula |
|
|
