Week

ALEKS modules and topics

Textbook (Ratti) section

Weeks 1,2

Module #1 (43 topics, due on 06/06/13):

Exponents and integers: Problem type 1

P2

Exponents and integers: Problem type 2

P2

Exponents and order of operations

P1,P2

Evaluating a linear expression in two variables

P1

Evaluating a quadratic expression in one variable

P1, P2

Signed fraction addition: Basic

P1

Signed fraction multiplication: Advanced

P1

Complex fractions without variables: Problem type 2

P1

Plotting a point in the coordinate plane

2.1

Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients

1.1

Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution

1.1

Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions

1.1

Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators

1.1

Solving equations with zero, one, or infinitely many solutions

1.1

Simple absolute value equation

1.7

Algebraic symbol manipulation: Problem type 1

1.1

Algebraic symbol manipulation: Problem type 2

1.1

Solving a word problem with two unknowns using a linear equation

1.1

Solving a fraction word problem using a linear equation with the variable on both sides

1.1

Finding the perimeter or area of a rectangle given one of these values

1.1,P7

Solving a linear inequality: Problem type 2

1.6

Degree and leading coefficient of a polynomial in one variable

P3

Combining like terms: Advanced

P3

Simplifying a sum or difference of three univariate polynomials

P3

Multiplying a monomial and a polynomial: Univariate with positive leading coefficients

P3

Multiplying binomials with leading coefficients of 1

P3

Squaring a binomial: Univariate

P3

Multiplying conjugate binomials: Univariate

P3

Multiplying binomials in two variables

P3

Greatest common factor of two monomials

P4

Factoring a quadratic with leading coefficient 1

P4

Factoring a quadratic with leading coefficient greater than 1

P4

Factoring a quadratic polynomial in two variables

P4

Factoring a difference of squares

P4

Factoring with repeated use of the difference of squares formula

P4

Factoring out a monomial from a polynomial: Univariate

P4

Factoring a product of a quadratic trinomial and a monomial

P4

Factoring a polynomial by grouping: Problem type 2

P4

Adding rational expressions with common denominators

P5

Adding rational expressions with different denominators: Multivariate

P5

Adding rational expressions with different denominators: ax, bx

P5

Adding rational expressions with different denominators: x+a, x+b

P5

Adding rational expressions with different denominators: Quadratic

P5

Week 3

Module #2 (42 topics, due on 06/13/13):

Simplifying a ratio of polynomials: Problem type 1

P5

Simplifying a ratio of polynomials: Problem type 2

P5

Multiplying rational expressions: Problem type 1

P5

Multiplying rational expressions: Problem type 2

P5

Dividing rational expressions: Problem type 1

P5

Dividing rational expressions: Problem type 2

P5

Complex fraction: Problem type 1

P5

Complex fraction: Problem type 3

P5

Complex fraction: Problem type 4

P5

Solving a rational equation that simplifies to a linear equation: Problem type 1

1.1

Solving a rational equation that simplifies to a linear equation: Problem type 2

1.1

Solving a rational equation that simplifies to a linear equation: Problem type 3

1.1

Solving a rational equation that simplifies to a linear equation: Problem type 4

1.1

Evaluating expressions with exponents of zero

P2

Evaluating numbers with negative exponents

P2

Product rule with positive exponents

P2

Product rule with negative exponents

P2

Quotients of expressions involving exponents

P2

Quotient rule with negative exponents: Problem type 1

P2

Power rule with positive exponents

P2

Power rule with negative exponents: Problem type 1

P2

Power rule with negative exponents: Problem type 2

P2

Using the power and product rules to simplify expressions with positive exponents

P2

Using the power, product, and quotient rules to simplify expressions with negative exponents

P2

Square root of a perfect square monomial

P6

Simplifying a radical expression: Problem type 1

P6

Simplifying a radical expression: Problem type 2

P6

Square root addition

P6

Simplifying a sum of radical expressions

P6

Square root multiplication

P6

Simplifying a product of radical expressions

P6

Simplifying a product of radical expressions using the distributive property

P6

Special products with square roots: Conjugates and squaring

P6

Rationalizing the denominator of a radical expression

P6

Rationalizing the denominator of a radical expression using conjugates

P6

Simplifying a higher radical: Problem type 1

P6

Simplifying a higher radical: Problem type 2

P6

Rational exponents: Basic

P6

Rational exponents: Negative exponents and fractional bases

P6

Rational exponents: Products and quotients

P6

Rational exponents: Powers of powers

P6

Converting between radical form and exponent form

P6

Week 4

Module #3 (27 topics, due on 06/20/13):

Plotting a point in the coordinate plane

2.1

Pythagorean Theorem

P7

Area of a triangle

P7

Circumference and area of a circle

P7

Area between two rectangles

P7

Area between two concentric circles

P7

Area involving rectangles and circles

P7

Area involving inscribed figures

P7

Volume of a rectangular prism

P7

Volume of a cylinder

P7

Volume of a sphere

P7

Surface area of a cube or a rectangular prism

P7

Surface area of a cylinder

P7

Surface area of a sphere

P7

Set builder and interval notation

P1

Union and intersection of finite sets

P1

Union and intersection of intervals

P1

Identifying functions from relations

2.4

Determining whether an equation defines a function

2.4

Vertical line test

2.4

Evaluating functions: Problem type 1

2.4

Evaluating functions: Problem type 2

2.4

Variable expressions as inputs of functions

2.4

Domain and range from ordered pairs

2.4

Domain of a square root function

2.4, 2.6

Domain of a rational function

2.4, 3.6

Finding the domain of a fractional function involving radicals

2.4

Midterm Exam – Wednesday, June 19

June 20 – withdrawal deadline

Week 5

Module #4 (26 topics, due on 06/27/13):

Graphing a line given its equation in slope-intercept form

2.3

Graphing a line given its equation in standard form

2.3

Graphing a line through a given point with a given slope

2.3

Graphing a vertical or horizontal line

2.3

Finding x- and y-intercepts of a line given the equation: Advanced

2.3

Finding slope given the graph of a line on a grid

2.3

Finding slope given two points on the line

2.3

Finding the slope of a line given its equation

2.3

Writing an equation of a line given the y-intercept and another point

2.3

Writing the equation of a line given the slope and a point on the line

2.3

Writing the equation of the line through two given points

2.3

Writing the equations of vertical and horizontal lines through a given point

2.3

Slopes of parallel and perpendicular lines: Problem type 1

2.3

Slopes of parallel and perpendicular lines: Problem type 2

2.3

Finding intercepts and zeros of a function given the graph

2.4

Finding x- and y-intercepts of the graph of a nonlinear equation

2.2

Domain and range from the graph of a continuous function

2.4,2.5

Testing an equation for symmetry about the axes and origin

2.2

Even and odd functions

2.5

Writing an equation for a function after a vertical translation

2.7

Writing an equation for a function after a vertical and horizontal translation

2.7

Translating the graph of a function: One step

2.7

Translating the graph of a function: Two steps

2.7

Transforming the graph of a function by reflecting over an axis

2.7

Transforming the graph of a function by shrinking or stretching

2.7

Transforming the graph of a function using more than one transformation

2.7

Week 6

Module #5 (29 topics, due on 07/04/13):

Graphing a parabola of the form y = ax^2

2.7, 3.1

Graphing a simple cubic function

2.6,2.7

Graphing a function involving a square root

2.6,2.7

Graphing an equation involving absolute value in the plane: Advanced

2.6,2.7

Choosing a graph to fit a narrative

2.7

Finding the roots of a quadratic equation with leading coefficient 1

1.4

Finding the roots of a quadratic equation with leading coefficient greater than 1

1.4

Solving a quadratic equation needing simplification

1.4

Solving a rational equation that simplifies to a quadratic equation: Problem type 1

1.5

Solving a rational equation that simplifies to a quadratic equation: Problem type 2

1.5

Solving a rational equation that simplifies to a quadratic equation: Problem type 3

1.5

Completing the square

1.4

Solving a quadratic equation by completing the square

1.4

Solving a word problem using a quadratic equation with rational roots

1.4

Solving a word problem using a quadratic equation with irrational roots

1.4

Midpoint of a line segment in the plane

2.1

Distance between two points in the plane

2.1

Graphing a circle given its equation in standard form

2.2

Writing an equation of a circle given its center and a point on the circle

2.2

Writing an equation of a circle given the endpoints of a diameter

2.2

Range of a quadratic function

3.1

Finding the maximum or minimum of a quadratic function

3.1

Word problem using the maximum or minimum of a quadratic function

3.1

Finding the x-intercept(s) and the vertex of a parabola

3.1

Rewriting a quadratic function to find the vertex of its graph

3.1

Graphing a parabola of the form y = (x-a)^2 + c

3.1

Graphing a parabola of the form y = ax^2 + bx + c: Integer coefficients

3.1

How the leading coefficient affects the shape of a parabola

3.1

Writing the equation of a quadratic function given its graph

3.1

Week 7

Module #6 (26 topics, due on 04/11/13):

Solving equations written in factored form

3.2

Finding zeros of a polynomial function written in factored form

3.2

Finding a polynomial of a given degree with given zeros: Real zeros

3.2

Finding x- and y-intercepts given a polynomial function

3.2

Determining the end behavior of the graph of a polynomial function

3.2

Inferring properties of a polynomial function from its graph

3.2

Matching graphs with polynomial functions

3.2

Finding the asymptotes of a rational function: Problem type 1

3.6

Finding the asymptotes of a rational function: Problem type 2

3.6

Sketching the graph of a rational function: Problem type 1

3.6

Sketching the graph of a rational function: Problem type 2

3.6

Graphing rational functions with holes

3.6

Evaluating an exponential function that models a real-world situation

4.1,4.2

Converting between logarithmic and exponential equations

4.3

Converting between natural logarithmic and exponential equations

4.3

Evaluating a logarithmic expression

4.3

Solving a logarithmic equation: Problem type 1

4.3

Solving an exponential equation: Problem type 1

4.1,4.2

Solving an exponential equation: Problem type 2

4.1,4.2

Solving a word problem using an exponential equation: Problem type 1

4.1,4.2

Solving a word problem using an exponential equation: Problem type 2

4.1,4.2

Sketching the graph of an exponential function: Basic

4.1,4.2

The graph, domain, and range of an exponential function

4.1,4.2

Sketching the graph of a logarithmic function: Basic

4.3

The graph, domain, and range of a logarithmic function

4.3

Sketching the graph of a logarithmic function

4.3

Translating the graph of a logarithmic or exponential function

4.1,4.2,4.3

Week 8

Module #7 (29 topics, due on 07/18/13):

Converting between degree and radian measure: Problem type 1

5.1

Converting between degree and radian measure: Problem type 2

5.1

Sketching an angle in standard position

5.3

Reference angles: Problem type 1

5.3

Reference angles: Problem type 2

5.3

Special right triangles

5.2

Sine, cosine, and tangent ratios

5.2

Finding trigonometric ratios given a right triangle

5.2

Using a trigonometric ratio to find a side length in a right triangle

5.2

Using trigonometry to find distances

5.2

Using a trigonometric ratio to find an angle measure in a right triangle

5.2

Using trigonometry to find angles of elevation or depression

5.2

Solving a right triangle

5.2

Trigonometric functions and special angles: Problem type 1

5.3

Trigonometric functions and special angles: Problem type 2

5.3

Trigonometric functions and special angles: Problem type 3

5.3

Finding values of trigonometric functions given information about an angle: Problem type 1

5.3

Finding values of trigonometric functions given information about an angle: Problem type 2

5.3

Finding values of trigonometric functions given information about an angle: Problem type 3

5.3

Amplitude and period of sine and cosine functions

5.4

Amplitude, period, and phase shift of sine and cosine functions

5.4

Sketching the graph of a sine or cosine function: Problem type 1

5.4

Sketching the graph of a sine or cosine function: Problem type 2

5.4

Sketching the graph of a sine or cosine function: Problem type 3

5.4

Classifying systems of linear equations from graphs

8.1

Solving a simple system using substitution

8.1

Solving a system of linear equations using elimination with multiplication and addition

8.1

Solving a system that is inconsistent or consistent dependent

8.1

Solving a word problem involving a sum and another simple relationship using a system of linear equations

8.1

Final Exam – July 18