Tutorial File Name: 1.1.1.html
Solution File Name: 1.1.1.solution.html
Goal: Know the types of numbers: Whole, Integer, Rational, Irrational, Real
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 1.1.2.html
Solution File Name: 1.1.2.solution.html
Goal: Be able to graph any type of number on a number line, including square roots and fractions, without having to use a calculator
Resources Needed: Equation Editor, Word/Paint for pictures
Difficulty: Medium
Tutorial File Name: 1.1.3.html
Solution File Name: 1.1.3.solution.html
Goal: Know the commutative, associative, inverse, and distributive properties. Know when they do or do not apply to operations.
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 1.1.4.html
Solution File Name: 1.1.4.solution.html
Goal: Be able to convert units and know what units an answer will have after canceling
Resources Needed: Equation Editor
Difficulty: Difficult because you have to make up your own conversion problems
Tutorial File Name: 1.2.1.html
Solution File Name: 1.2.1.solution.html
Goal: Be able to evaluate expressions using the correct order of operations (PEMDAS)
Also know the difference between 
and 
, where n is a whole number
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 1.2.2.html
Solution File Name: 1.2.2.solution.html
Goal: Know the area and perimeter formulas for squares, rectangles, triangles, and circles. Be able to do problem like [1.2] 53-55 and [1.3] 41-42.
Resources Needed: Equation Editor, Word/Paint for pictures
Difficulty: Medium to Hard
Tutorial File Name: 1.3.1.html
Solution File Name: 1.3.1.solution.html
Goal: Be able to solve medium to hard equations, including fraction busters
Resources Needed: Equation Editor
Difficulty: Medium to Hard
Tutorial File Name: 1.3.3.html
Solution File Name: 1.3.3.solution.html
Goal: When you solve an equation, know the two special cases for: No answer and All Real Numbers. Graphically, it has to do with parallel lines and lines that are the same exact line. Algebraically, you get either an untrue statement like 2 = 5 when trying to solve or you get a statement that is always true such as 4 = 4.
Resources Needed: Equation Editor
Difficulty: Hard
Tutorial File Name: 1.4.1.html
Solution File Name: 1.4.1.solution.html
Goal: Be able to solve formulas for any variable in the formula
Resources Needed: Equation Editor
Difficulty: Medium to Hard
Tutorial File Name: 1.5.1.html
Solution File Name: 1.5.1.solution.html
Goal: Given a word problem, be able to write a verbal model, algebraic model, and solve the problem.
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 1.5.2.html
Solution File Name: 1.5.2.solution.html
Goal: Be able
to solve 
problems.
Resources Needed: Equation Editor
Difficulty: Medium to Hard, depending on the questions.
Tutorial File Name: 1.6.1.html
Solution File Name: 1.6.1.solution.html
Goal: Know how to solve and graph simple inequalities and compound inequalities.
Resources Needed: Equation Editor, Word/Paint for pictures
Difficulty: Easy
Tutorial File Name: 1.7.1.html
Solution File Name: 1.7.1.solution.html
Goal: Know how to solve absolute value equations. (There are usually two answers.) Also know how to solve the two types of absolute value equations. (ones with < or £ versus > or ³)
Resources Needed: Equation Editor
Difficulty: Medium to Hard
Tutorial File Name: 2.1.1.html
Solution File Name: 2.1.1.solution.html
Goal: Relations and Functions
q
Know
what a relation is and be familiar with how to represent them using a graph, a
mapping,
an xy-table, or an equation.
q
Know
what a function is. It’s a relation
where …
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.1.1b.html
Solution File Name: 2.1.1b.solution.html
Goal: Relations and Functions
q
Given
a graph, be able to tell whether the graph is a function or non-function.
(vertical line test)
q
Given
a table of values, be able to tell whether the graph is a function or
non-function.
q
Given
an equation, be able to tell whether the graph is a function or non-function.
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.1.2.html
Solution File Name: 2.1.2.solution.html
Goal: Domain and Range. Identify the domain and range of a graph. Identify the domain and range of an equation.
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.2.1.html
Solution File Name: 2.2.1.solution.html
Goal:
q
Given
two points, know how to find slope.
q
Know
the difference between positive slope and negative slope on a graph.
q
Know
how the slopes of parallel lines are related.
q
Know
how the slopes of perpendicular lines are related.
q Know the special slopes for vertical and horizontal lines.
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.3.1.html
Solution File Name: 2.3.1.solution.html
Goal:
q
Convert equations into slope-intercept form: y = mx + b
q Graph equations written in slope-intercept form
q Know the equations for vertical and horizontal lines.
Resources Needed: Equation Editor, Graphing program or a Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.4.1.html
Solution File Name: 2.4.1.solution.html
Goal:
q
Given
either two points or a slope and a point, be able to write an equation for the
line.
q
Be
able to use the point-slope form for lines:
y – y1 = m(x – x1)
Resources Needed: Equation Editor, Graphing program or a Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.4.1b.html
Solution File Name: 2.4.1b.solution.html
Goal:
q
Find
linear equations parallel or perpendicular to a given line or pair of points
(ex: [2.4] 25-28)
q Be able to use the point-slope form for lines: y – y1 = m(x – x1)
Resources Needed: Equation Editor, Graphing program or a Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.4.2.html
Solution File Name: 2.4.2.solution.html
Goal:
q
Given
any graph of a line, be able to write an equation for the line.
q
Given
a linear equation in any form, be able to graph it.
Resources Needed: Equation Editor, Graphing program or a Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.4.3.html
Solution File Name: 2.4.3.solution.html
Goal:
q
Given
a linear equation in any form, be able to find the x and y intercepts.
Resources Needed: Equation Editor, Graphing program or a Scanner for graphics
Difficulty: Easy, web page will be the hardest part
Tutorial File Name: 2.6.1.html
Solution File Name: 2.6.1.solution.html
Goal: Given a point and a linear
inequality, determine whether the point is a solution.
Given a linear inequality equation, be able to graph solid or dotted and use a test point to find out which side to shade.
Resources Needed: Equation Editor, Graphing program or a Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.7.1.html
Solution File Name: 2.7.1.solution.html
Goal: Given a piecewise equation, be able to evaluate f(x) points and graph it.
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.7.2.html
Solution File Name: 2.7.2.solution.html
Goal: Given a piecewise graph, be
able to write its equation.
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.7.3.html
Solution File Name: 2.7.3.solution.html
Goal:
Graphing the Greatest
integer function
Resources Needed: Equation Editor, Scanner for graphics
Difficulty: Medium
Tutorial File Name: 2.7.3.html
Solution File Name: 2.7.3.solution.html
Goal:
q
Given
any function in the form
know what the values a, h, and k do to the graph.
q
Given
an absolute value equation, be able to graph it quickly without using tables.
q
Given
the graph of an absolute value function, be able to write its equation.
Resources Needed: Equation Editor, Graphing program or Scanner for graphics
Difficulty: Medium
Tutorial File Name: 3.1.1.html
Solution File Name: 3.1.1.solution.html
Goal:
q
Determine
whether a given point is a solution to a system.
q
Know
the cases of infinite solutions, no solution, and one solution.
q
Know
how to solve a system of two equations by graphing the equations by hand.
Resources Needed: Equation Editor, Graphing program or Scanner for graphics
Difficulty: Medium
Tutorial File Name: 3.2.1.html
Solution File Name: 3.2.1.solution.html
Goal: Know how to solve a system of two equations by substitution.
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 3.2.2.html
Solution File Name: 3.2.2.solution.html
Goal: Know how to solve a system of two equations by the linear combination method (addition method).
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 3.3.1.html
Solution File Name: 3.3.1.solution.html
Goal:
q
Know
how to graph a system of inequalities.
q
Know
what a “solution” of a system of inequalities means. It’s ONE of the shaded (“true”) areas.
q
Know
when to use a dotted vs solid line.
q Know how to use test points to determine which side of each line to shade.
Resources Needed: Equation Editor, Graphing program or Scanner for graphics
Difficulty: Medium
Tutorial File Name: 3.5.1.html
Solution File Name: 3.5.1.solution.html
Goal:
q
Know
how to draw a set of 3D axes and plot a 3D point.
q
Know
how to make a 3D point into a box (with one corner at the point and the other
at the origin).
Resources Needed: Scanner for graphics
Difficulty: Easy
Tutorial File Name: 3.5.2.html
Solution File Name: 3.5.2.solution.html
Goal:
q
Know
how to find the intercepts of a plane and graph a triangular cross section of
it.
q
Know
how to find the volume and surface area for rectangular solids.
Resources Needed: Scanner for graphics
Difficulty: Easy
Tutorial File Name: 3.6.1.html
Solution File Name: 3.6.1.solution.html
Goal: Know how to solve a system
of three equations by substitution.
Resources Needed: Equation Editor
Difficulty: Hard
Tutorial File Name: 3.6.2.html
Solution File Name: 3.6.2.solution.html
Goal: Know how to solve a system
of three equations by the linear combination method (addition method).
Resources Needed: Equation Editor
Difficulty: Hard
Tutorial File Name: 4.1.1.html
Solution File Name: 4.1.1.solution.html
Goal:
q
Know
how to write the size of a matrix
q
Know
how to add and subtract matrices
q
Know
when you can or can’t add/subtract matrices
q
Know
how to multiply a matrix by a scalar
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 4.2.1.html
Solution File Name: 4.2.1.solution.html
Goal:
q
Know
how to multiply matrices by hand
q
Know
when you can or can’t multiply matrices
q
Know
that the order of multiplication matters.
A*B isn’t the same as B*A.
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 4.4.1.html
Solution File Name: 4.4.1.solution.html
Goal:
q
Know
how to find the determinant of a 2x2 matrix by hand (Section 4.3)
q
Know
what the Identity matrix is and show examples of different sizes. (Section 4.4)
q
Know
how to find the inverse of a 2x2 matrix by hand. (Section 4.4)
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 4.5.1.html
Solution File Name: 4.5.1.solution.html
Goal:
q
Know
how to write a system of equations in matrix form
q
Know
how to solve a system of equations using matrix inverses
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 5.1.1.html
Solution File Name: 5.1.1.solution.html
Goal: Know how to graph a parabola written in standard form by finding/plotting the vertex and several points on each side.
Resources Needed: Equation Editor, Graphing program or Scanner for graphics
Difficulty: Medium
Tutorial File Name: 5.1.2.html
Solution File Name: 5.1.2.solution.html
Goal: Know how to graph a parabola written in vertex form.
Resources Needed: Equation Editor, Graphing program or Scanner for graphics
Difficulty: Easy
Tutorial File Name: 5.2.1.html
Solution File Name: 5.2.1.solution.html
Goal:
q
Know
how to factor these trinomials
o
Difference
of two squares
o
Perfect
square trinomials
o
Any
trinomial written in standard form
o Trinomials that have a common factor to take out first.
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 5.2.2.html
Solution File Name: 5.2.2.solution.html
Goal: Solve quadratic equations by factoring and using the zero-product property
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 5.2.3.html
Solution File Name: 5.2.3.solution.html
Goal: Use factoring to solve geometric applications, like problems 92-95
Resources Needed: Equation Editor, Word or Scanner to create images
Difficulty: Difficult
Tutorial File Name: 5.3.1.html
Solution File Name: 5.3.1.solution.html
Goal:
q
Know
how to simplify square roots
q Know how to “rationalize the denominator”
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 5.3.2.html
Solution File Name: 5.3.2.solution.html
Goal:
Know how to solve quadratic equations by square-rooting.
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 5.4.1.html
Solution File Name: 5.4.1.solution.html
Goal:
q
Know
how to add, subtract, and multiply complex numbers
q Know how to plot and find the absolute value of complex numbers
Resources Needed: Equation Editor
Difficulty: Easy
Tutorial File Name: 5.4.2.html
Solution File Name: 5.4.2.solution.html
Goal:
q
Know
how to use the complex conjugate to simplify complex number fractions.
q Know how to solve quadratic equations that involve square rooting negative numbers.
Resources Needed: Equation Editor
Difficulty: Medium
Tutorial File Name: 5.5.1.html
Solution File Name: 5.5.1.solution.html
Goal:
q
Know
how to complete the square of a trinomial
q Know how to solve quadratic equations by completing the square
Resources Needed: Equation Editor
Difficulty: Medium