DAILY TOPICS: MAT 150 College Algebra
Date
Section
Topics / Learning Targets / Assessments
• Introduction
Mon. 1/6
• Sign up for Temporary MML Access
Intro
Wed. 1/8
• Orientation MML Assignment
• Online SKYCTC Application (Keep Application # AND Student ID #)
I can…
• Recognize common sets of numbers (imaginary, real, rational, irrational,
whole, and integers).
1.1
• Evaluate expressions by applying the order of operations.
• Convert between scientific and decimal notation.
• Perform operations using scientific notation.
I can…
• Analyze one variable data and determine minimum/maximum, mean,
Mon. 1/13
median, and mode values.
• Find the domain, range, maximum, and minimum of relations and graph
them in the xy-plane.
1.2
• Determine the distance between two points using the distance formula.
• Determine the midpoint of a line segment given its endpoints OR determine
the endpoint of a segment given its midpoint and other endpoint.
• Create an equation for a circle, from its graph or given characteristics (i.e.
radius, center, and point on the circle).
I can…
• Graph and evaluate functions expressed in function notation.
• Write a function as a set of ordered pairs, determine its domain and range
(in interval notation), and evaluate the function.
• Evaluate functions and find their domains.
1.3
• Given a function and its graph, determine the domain and range and
evaluate the function.
• Identify the domain, range, intercepts, and values of a function from its
graph.
Wed. 1/15
• Determine whether a relation is a function.
I can…
• Determine the solution set of an inequality and express it in interval
notation.
• Determine the domain and range of a function and express it in interval
1.4
notation.
• Determine the slope of a linear function.
• Interpret slope as a rate of change.
• Differentiate between linear and non-linear functions.
Homework Assignments
MML Orientation
• Worth 20 points
• Due by 11:59 p.m. on Sun. 1/12
MML HW 1.1
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/19
MML HW 1.2
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/19
MML HW 1.3
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/19
MML HW 1.4
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/19
Wed. 1/22
2.1
2.2
Mon. 1/27
2.3
Wed. 1/29
2.4
Mon. 2/3
Wed. 2/5
3.1
• Write formulas for linear functions given various characteristics (i.e. slope, x
and/or y intercepts, points, etc.).
Quiz 1 (1.1, 1.2, 1.3, 1.4)
• Worth 20 points
• 20 questions (short answer) with 40 minute time limit
• Open Notes
I can…
• Write the point-slope and slope-intercept forms for a linear function given
various characteristics (i.e. slope, x and/or y intercepts, points, etc.).
• Write equations for horizontal, vertical, parallel, and perpendicular lines.
• Find the intercepts of a line.
• Use linear regression to model real world data and make predictions.
I can…
• Solve linear equations graphically and algebraically.
• Solve an equation for a variable.
• Model and solve real world problems using linear equations.
I can…
• Solve linear inequalities and express the solution set in interval notation.
• Solve compound inequalities and express the solution set in interval
notation.
• Solve linear inequalities graphically and algebraically.
• Model and solve real world problems using linear inequalities.
I can…
• Use linear functions to model real world data and make predictions.
• Evaluate and graph piecewise-defined functions.
Review for Exam I
Exam I
• Worth 100 points
• 30 questions (short answer / multiple choice) with 80 minute time limit
• Formula Sheet provided.
SELF REVIEW
I can…
• Multiply binomial expressions.
• Factor trinomial expressions.
• Simplify radical expressions.
I can…
• Determine if a given equation represents a linear function, quadratic
function, or neither.
• Determine the vertex of a quadratic function given in standard form or
vertex form.
MML HW 2.1
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/26
MML HW 2.2
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/26
MML HW 2.3
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/26
MML HW 2.4
• Worth 10 points
• Due by 11:59 p.m. on Sun. 1/26
MML SELF REVIEW (Trinomials and
Square Roots)
• Worth 30 points
• Due by 11:59 p.m. on Tues. 2/2
MML HW 3.1
• Worth 10 points
• Due by 11:59 p.m. on Sun. 2/9
3.2
Mon. 2/10
3.3
Wed. 2/12
3.5
Mon. 2/17
Wed. 2/19
4.1
• Convert a quadratic function from standard form to vertex form.
• Determine and describe features of a quadratic function to include the
vertex, axis of symmetry, maximum/minimum value, increasing/decreasing
intervals, domain, and range.
• Graph quadratic functions.
• Model and solve real world problems using quadratic functions.
• Use quadratic regression to model real world data and make predictions.
I can…
• Solve quadratic equations.
• Use the discriminant to determine the types of solutions (2 real, 2
imaginary, 1 real).
• Model and solve real world problems using quadratic functions.
• Use quadratic regression to model real world data and make predictions.
Quiz 2 (3.1, 3.2)
• Worth 20 points
• 2 attempts allotted
• 60 minute time limit
• Take on your own time and due by 11:59 p.m. on Fri. 2/14
I can…
• Simplify expressions involving negative square roots (imaginary numbers).
• Perform arithmetic operations on complex numbers.
• Solve quadratic equations having complex solutions.
I can…
• Graph functions by applying translations, reflections, and
stretching/shrinking transformations to the parent function.
Review for Exam II
Exam II
• Worth 100 points
• 40 questions (multiple choice) with 80 minute time limit
• Formula Sheet provided.
• 3”x5” Notecard may be created to use during exam.
I can…
• Understand terminology about polynomial functions (degree, leading
coefficient, local extrema, absolute extrema, symmetry
• Determine the local and absolute extrema (maxima/minima) of a function.
• Determine if a function is odd, even, or neither.
• Given features of a function, create an “accurate” sketch of the function.
• Given the graph of real world data, interpret and analyze information to
assess the situation.
MML HW 3.2
• Worth 10 points
• Due by 11:59 p.m. on Fri. 2/14
MML HW 3.3
• Worth 10 points
• Due by 11:59 p.m. on Sun. 2/16
MML HW 3.5
• Worth 10 points
• Due by 11:59 p.m. on Sun. 2/16
MML HW 4.1
• Worth 10 points
• Due by 11:59 p.m. on Tues. 2/25
Mon. 2/24
4.2
Wed. 2/26
Mon. 3/3
Wed. 3/5
Mon. 3/10
4.4/4.6A
4.6B
4.7/4.8
Wed. 3/13
Mon. 3/17
Wed. 3/19
5.1
I can…
• Interpret the graphs of polynomial functions (turning points, end behavior
according to leading term test, x-intercepts, local and absolute extrema)
• Graph polynomial functions.
• Evaluate and graph piecewise functions.
• Given the graph of real world data, interpret and analyze information to
assess the situation.
Quiz 3 (4.1, 4.2)
• Worth 20 points
• 20 questions (short answer) with 40 minute time limit
• Open Notes
I can…
• Factor higher degree polynomials.
• Analyze polynomials having multiple zeros.
• Solve higher degree polynomial equations.
• Identify a rational function and interpret its domain, horizontal asymptotes,
and vertical asymptotes.
• Graph a rational function by hand.
I can…
• Graph a rational function by hand.
• Model and solve real world problems using rational functions.
I can…
• Solve rational equations.
• Solve equations involving rational exponents.
• Solve radical equations.
Review for Exam III
Exam III
• Worth 100 points
• 25 questions (short answer / multiple choice) with 80 minute time limit
• 3”x5” Notecard may be created to use during exam.
•
I can…
• Perform arithmetic operations on functions and determine the domain of the
resulting function.
• Perform compositions on functions and determine the domain of the
composed function.
• Model and solve real world problems by applying operations and/or
compositions on functions.
MML HW 4.2
• Worth 10 points
• Due by 11:59 p.m. on Tues. 2/25
MML HW 4.4/4.6A
• Worth 10 points
• Due by 11:59 p.m. on Fri. 3/7
MML HW 4.6B
• Worth 10 points
• Due by 11:59 p.m. on Fri. 3/7
*** Last 3rd Quarter Grade***
MML HW 4.7/4.8
• Worth 10 points
• Due by 11:59 p.m. on Sun. 3/16
MML HW 5.1
• Worth 10 points
• Due by 11:59 p.m. on Sun. 3/23
Mon. 3/24
5.2
Wed. 3/26
Mon. 3/31 –
Fri. 4/4
I can…
• Determine if a function is one-to-one.
• Determine the inverse of a given function, if it exists.
• Use other representations (such as tables or graphs) to find the inverse of a
function, if it exists.
Quiz 4 (5.1, 5.2)
• Worth 20 points
• 10 questions (short answer / multiple choice) with 40 minute time limit
• Open Notes
MML HW 5.2
• Worth 10 points
• Due by 11:59 p.m. on Tues. 3/25
SPRING BREAK – NO CLASS
Mon. 4/7
5.3
Wed. 4/9
5.4
Mon. 4/14
5.5
Wed. 4/16
5.6
I can…
• Apply properties of exponents to simplify expressions.
• Distinguish between linear and exponential growth.
• Recognize and evaluate problems involving exponential growth and decay.
• Graph an exponential function and identify its domain, range, asymptotes,
and intercepts.
• Calculate compound interest.
• Model and solve real world problems using exponential functions.
I can…
• Evaluate logarithmic expressions.
• Convert between exponential and logarithmic forms.
• Solve exponential and logarithmic equations.
• Graph exponential and logarithmic functions.
• Model and solve real world problems using exponential and logarithmic
functions.
I can…
• Expand and combine logarithmic expressions.
• Apply the change of base formula to evaluate a logarithmic expression.
Quiz 5 (5.4, 5.5)
• Worth 20 points
• 2 attempts allotted
• 60 minute time limit
• Take on your own time and due by 11:59 p.m. on Sun. 4/20
•
I can…
• Solve exponential and logarithmic equations.
• Model and solve real world problems using exponential and logarithmic
functions.
MML HW 5.3
• Worth 10 points
• Due by 11:59 p.m. on Sun. 4/13
MML HW 5.4
• Worth 10 points
• Due by 11:59 p.m. on Sun. 4/13
MML HW 5.5
• Worth 10 points
• Due by 11:59 p.m. on Sun. 4/20
MML HW 5.6
• Worth 10 points
• Due by 11:59 p.m. on Tues. 4/21
Mon. 4/21
Wed. 4/23
9.1
Mon. 4/28
9.2
Review for Exam IV
Exam IV
• Worth 100 points
• 30 questions (multiple choice) with 80 minute time limit
• Formula Sheet provided.
• 3”x5” Notecard may be created to use during exam.
I can…
• Evaluate functions of two variables.
• Solve equations for a specified variable.
• Solve a system of equations both graphically and algebraically.
• Model and solve real world problems involving systems of equations.
I can…
• Solve inequalities in two variables graphically.
• Solve a system of inequalities in two variables graphically.
• Model and solve real world problems using linear programming.
Wed. 4/30
Mon. 5/5
Review for Final Exam / Designated Make-Up Work Days
Wed. 5/7
Final Exam
• Worth 160 points
• Formula Sheet provided.
• 3”x5” Notecard may be created to use during exam.
MML HW 9.1
• Worth 10 points
• Due by 11:59 p.m. on 5/4
MML HW 9.2
• Worth 10 points
• Due by 11:59 p.m. on 5/4
Final Exam Project
• Worth 40 points
• Due by 7:30 a.m. on 5/7