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Category Archives: Introduction to College Algebra
InCA Assignment for 1/16
We had a quiz in class today, after which you got a PostQuiz Extra Credit puzzle.
 Complete one side of the sheet (your choice which one) for a free HW credit on your record.
 Complete both sides of the sheet for a free HW credit and extra credit on the quiz.
You must show your work to count!
InCA Assignment for 1/15
We will have a pairs quiz in class Thursday, January 16 (i.e., tomorrow). It will include content on everything we have done so far. You will be assigned pairs at the start of class and be given the whole period to work. Fair warning: You will NOT be permitted a graphing calculator during this test.
Today, you should review. There are several links below to work on, but in class you’ll be given instructions to complete at least one IXL module to a score of 80+.
New instructions to log in to IXL
 Go to http://www.clever.com and click “Log in as a student”
 Search for Ithaca High School (if necessary) and select “Log in With Google”
 The system will connect to your ICSD Google account and you’ll be taken to a “homeroom” page. From there, you can click the IXL icon to log in.
Once you are logged in, complete one of the following to a score of 80+
 Simplify radical expressions with variables I
 Simplify radical expressions using the distributive property
 Evaluate rational exponents
There are others linked below, but you are expected to complete one of these three.
Additional Review Resources
 HW 4.7 – Quiz Review
 Video Archive
Cumulative IXL Modules
InCA Assignment for 1/14
There will be a quiz on Thursday, January 16 on what we’ve done so far in Unit 4, including evaluating/simplifying expressions with radicals and rational powers.
Period 3
We spent some more time with “nth” roots (the general term for any radical: square root, cube root, fourth root, etc. We observed that evaluating an expression with a radical is similar to but subtly different from solving an equation with a power. See the notes for more details.
Today’s Files
 Copy of Class Notes
 HW 4.6 – Evaluating Nth Roots
 Lesson Video (evaluating nth roots)
 Video Archive
Cumulative IXL Modules
Period 8
We played a review relay race game to quickly recap the work we’ve done so far in this class. Tomorrow, you’ll have some time to work on the review sheet posted below as well as to do some IXL work.
Today’s Files
 HW 4.7 – Quiz Review
 Video Archive
Cumulative IXL Modules
InCA Assignment for 1/13, plus Quiz Warning
My two periods are still not quite in sync with each other, so check for your period below. Both periods will have a quiz on the unit so far on Thursday, January 16
3rd Period
We finished the lesson started Friday about simplifying radical expressions
Today’s Links
 Copy of class notes
 HW 4.4 – Simplifying Expressions with Rational Exponents
 Lesson Video (simplifying radicals with rational exponents)
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
8th Period
We spent some more time with “nth” roots (the general term for any radical: square root, cube root, fourth root, etc. We observed that evaluating an expression with a radical is similar to but subtly different from solving an equation with a power. See the notes for more details.
Today’s Files
 Copy of Class Notes
 HW 4.6 – Evaluating Nth Roots
 Lesson Video (evaluating nth roots)
 Video Archive
Cumulative IXL Modules
InCA Assignment for 1/10
All InCA students will have a Homework Quiz on Monday of the following assignments (these assignments came out in different orders for different periods, but the numbering is the same):
 HW 4.2 – Evaluating Rational Powers
 HW 4.3 – Multiplying/Dividing Radicals
 HW 4.4 – Simplifying Radical Expressions with Rational Roots
Review the homework keys and videos for the past few days to prepare!
3rd and 8th periods did different things today (you’ll be aligned again come Monday)
3rd Period
We returned to our work with fractional exponents and used them to simplify radical expressions
Today’s Links
 Copy of class notes
 HW 4.4 – Simplifying Expressions with Rational Exponents
 Lesson Video (simplifying radicals with rational exponents)
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
8th Period
Rational exponents are equivalent to radicals, therefore the shortcuts that we can use working with exponents extend to radicals as well. Today we discussed multiplying and dividing radical expressions.
Today’s Links
 Copy of class notes
 HW 4.3 – Operations with Radicals
 Lesson Video (multiplying and distributing)
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
InCA Assignment for 1/9
3rd and 8th periods did different things today:
3rd period students
We spent some time noticing some things about the powers reference list you’ve created. Many powers evaluate to the same thing (2^6, 4^3, and 8^2 for example, as do 3^4 and 9^2) and you were challenged to come up with why. After that, we played a competitive game where you tried to find as many different ways of expressing the number 256 using multiplication and exponents.
Your homework tonight is to repeat the game with the number 32. A reminder of the rules:
 The only operations allowed are exponents and multiplication
 Each term of your expression must have an exponent
 You may have at most one exponent = 1
8th period students
We returned to our work with fractional exponents and used them to simplify radical expressions
Today’s Links
 Copy of class notes
 HW 4.4 – Simplifying Expressions with Rational Exponents
 Lesson Video (simplifying radicals with rational exponents)
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
InCA Assignment for 1/8
Rational exponents are equivalent to radicals, therefore the shortcuts that we can use working with exponents extend to radicals as well. Today we discussed multiplying and dividing radical expressions.
A reminder: because I want you to be able to work through this chapter without relying on the calculator, we will have a daily Powers Quiz. I will choose 10 powers from the reference table you made and ask you to evaluate them without using the calculator in a brief, timed quiz. We will do this every day through the unit, and only your highest grade on any one quiz will be the one used in your Unit 4 grade.
Today’s Links
 Copy of class notes
 HW 4.3 – Operations with Radicals
 Lesson Video (multiplying and distributing)
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
InCA Assignment for 1/7
More work with rational exponents today, including evaluating expressions that include them.
A reminder: because I want you to be able to work through this chapter without relying on the calculator, we will have a daily Powers Quiz. I will choose 10 powers from the reference table you made and ask you to evaluate them without using the calculator in a brief, timed quiz. We will do this every day through the unit, and only your highest grade on any one quiz will be the one used in your Unit 4 grade.
Today’s Links
 Copy of class notes
 HW 4.2 – Evaluating Rational Exponents
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
InCA Assignment for 1/6
We’ve started a new unit, this one on rules of exponents. Today was a review of preexisting shortcuts, along with an introduction of some new ones.
Finally, because I want you to be able to work through this chapter without relying on the calculator, we will have a daily Powers Quiz. I will choose 10 powers from the powers reference sheet you make in today’s homework. I will ask you to evaluate them without using the calculator in a brief, timed quiz. We will do this every day through the rest of the unit, and only your highest grade on any one quiz will be the one used in your Unit 5 grade.
Today’s Links
 Copy of class notes
 HW 4.1 – Review of Exponent Shortcuts
 Video Archive
 Review of existing exponent shortcuts (From Algebra 1)
 Negative Exponents
 Rational Exponents
Cumulative IXL Modules
What’s Going On in This Graph? (January 8th)
Visit this page on the New York Times and look at the graph showing the reading level and time (in minutes) required to read internet privacy policies for 150 popular websites and apps plus a few books. The graph was taken from elsewhere on the New York Times’s website.
As you look at the graph, consider the following three questions

What do you notice? If you make a claim, tell us what you noticed that supports your claim.

What do you wonder? What are you curious about that comes from what you notice in the graph?

What’s going on in this graph? Write a catchy headline that captures the graph’s main idea.
Write your thoughts as a comment on the New York Times’s page. Respond to others’ comments if you wish. Visit again on Wednesday for a moderated discussion by representatives from the American Statistical Association, who will reply to as many comments as they can.
By Friday, the NYT will link to the article the graph is from and provide additional information and context. Check how your headline compared!
InCA Assignment for 12/19
We had our Unit 3 test today, after which you got a PostTest Extra Credit puzzle.
 Complete one side of the sheet (your choice which one) for a free HW credit.
 Complete both sides of the sheet for a free HW credit and extra credit on the test.
You must show your work to count!
InCA Assignment for 12/18
You Unit 3 Test is tomorrow. Review your notes and the lesson videos posted below for reminders on the various topics we covered in class. Complete the final review sheet and check your answers in the links below (and be sure to check out the answer videos!). Also, there are plenty of IXL review modules that you can access as well. Work hard to review, and you’ll kill it tomorrow! Remember: “Math Ability” isn’t about smarts; it’s about work!
Note about IXL: Your login has changed. Now, you should head to http://www.clever.com, click “Log in as a Student” and sign in to your ICSD Google account. From there, hit the IXL button and you’ll be logged into your IXL account and can access the links below.
Today’s Links
 HW 3.17 – Unit 3 Test Review 2
 Video Archive
 Parabola key features (vertex, line of symmetry, zeros)
 Polynomial key features (extrema and inflection points)
 Solving a quadratic equation by factoring
 Solving a quadratic equation with quadratic formula
 Simplifying radicals
 Solving a quadratic equation with radicals
 Area word problems
 Finding a polynomial from its zeroes (example 2)
Cumulative IXL Modules
 Solve a quadratic equation using the zero product property
 Solve a quadratic equation by factoring
 Solve a quadratic equation using the quadratic formula
 Solve a quadratic equation using square roots
 Multiply radical expressions
 Identify the direction a parabola opens
 Find the vertex of a parabola
 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/17
You Unit 3 Test is on Thursday, December 19 and tomorrow (the 18th), we’ll have our third HW quiz covering HW 3.14 and 3.15
In class today, you got a study guide that we started to complete together. You should work on finishing that for tomorrow and come in with questions!
Today’s Links
 HW 3.16 – Unit 3 Test Review 1
 Video Archive
 Parabola key features (vertex, line of symmetry, zeros)
 Polynomial key features (extrema and inflection points)
 Solving a quadratic equation by factoring
 Solving a quadratic equation with quadratic formula
 Simplifying radicals
 Solving a quadratic equation with radicals
 Area word problems
 Finding a polynomial from its zeroes (example 2)
Cumulative IXL Modules
 Solve a quadratic equation using the zero product property
 Solve a quadratic equation by factoring
 Solve a quadratic equation using the quadratic formula
 Solve a quadratic equation using square roots
 Multiply radical expressions
 Identify the direction a parabola opens
 Find the vertex of a parabola
 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/16
The last bit of new material for this unit reverses the solvingbyfactoring process we have been using for quadratic equations, recreating the equation that has the given roots.
This last item, including everything else from this unit, will appear on the Unit 3 test on Thursday, December 19
Today’s Links
 Copy of Class Notes
 HW 3.15 – Finding Quadratic Equations from Roots
 Lesson Video 1 (finding a polynomial from its zeroes – note that this video shows a threefactor polynomial, producing a cubic. The process is the same)
 See another example here.
 Video Archive
Cumulative IXL Modules
 Solve a quadratic equation using the zero product property
 Solve a quadratic equation by factoring
 Solve a quadratic equation using the quadratic formula
 Solve a quadratic equation using square roots
 Multiply radical expressions
 Identify the direction a parabola opens
 Find the vertex of a parabola
 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/13
Check out The Reveal for the New York Times’s graph we looked at this week. Also take a look at the comments, especially the shoutouts that students got for their catchy headlines. Next week, that could be you!
The third method of solving quadratics is to simply use the square root, but there’s a danger here: you still have two solutions. The + is built into the quadratic formula, but it still needs to be added here. And that falls to you, the solver!
Today’s lesson also included a brief revisit to word problems, this time resulting in a quadratic equation.
Today’s Links
 Copy of class notes
 HW 3.14 – Quadratic Word Problems
 Lesson Video 1 (Solving a quadratic equation with radicals)
 Lesson Video 2 (Area word problems)
 Video Archive
Cumulative IXL Modules
 Solve a quadratic equation using the zero product property
 Solve a quadratic equation by factoring
 Solve a quadratic equation using the quadratic formula
 Solve a quadratic equation using square roots
 Multiply radical expressions
 Identify the direction a parabola opens
 Find the vertex of a parabola
 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/12
We had a homework quiz followed by a mastery quiz in class today. Your homework if to finish the mastery quiz if you did not complete it in class.
Video Archive
 Parabola key features (vertex, line of symmetry, zeros)
 Polynomial key features (extrema and inflection points)
 Solving a quadratic equation by factoring
 Solving a quadratic equation with quadratic formula
 Simplifying radicals
 Solving a quadratic equation with radicals
Cumulative IXL Modules
 Solve a quadratic equation using the zero product property
 Solve a quadratic equation by factoring
 Solve a quadratic equation using the quadratic formula
 Solve a quadratic equation using square roots
 Multiply radical expressions
 Identify the direction a parabola opens
 Find the vertex of a parabola
 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/11
We did some more practice with solving quadratic equations today with a game of Trashketball.
Note: Tomorrow, we will have a HW quiz referring to assignments 3.9, 3.10, 3.11, and 3.12. We will also have a Mastery Quiz on solving quadratic equations.
Today’s Links
 HW 3.12 – Mixed Quadratic Solving
 Video Archive
Cumulative IXL Modules
 Solve a quadratic equation using the zero product property
 Solve a quadratic equation by factoring
 Solve a quadratic equation using the quadratic formula
 Solve a quadratic equation using square roots
 Multiply radical expressions
 Identify the direction a parabola opens
 Find the vertex of a parabola
 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/10
We didn’t actually finish our lesson yesterday, so today’s HW is the same as yesterday’s. We did some more work with the quadratic formula today, specifically with simplifying the radical expressions we sometimes get when we apply it.
Today’s Links
 Copy of class notes
 HW 3.11 – Quadratic Formula and Simplifying Radicals
 Lesson video (simplifying radicals) – You can ignore everything past the 10 minute mark, as that is beyond what we’re doing right now.
 Video Archive
Cumulative IXL Modules
 J.5 Solve a quadratic equation using the zero product property
 J.6 Solve a quadratic equation by factoring
 J.9 Solve a quadratic equation using the quadratic formula
 L.1 Roots of integers
 L.3 Find roots using a calculator
 L.7 Multiply radical expressions
 T.1 Identify the direction a parabola opens
 T.2 Find the vertex of a parabola
 T.4 Find the axis of symmetry of a parabola
 From Algebra 1
InCA Assignment for 12/9
Each week, starting today, we will be participating in the New York Times’s What’s Going On in This Graph activity. Click the link to see today’s graph, and go to Desmos to enter some of your thoughts.
We did some more work with the quadratic formula today, specifically with simplifying the radical expressions we sometimes get when we apply it.
Today’s Links
 Copy of class notes
 HW 3.11 – Quadratic Formula and Simplifying Radicals
 Lesson video (simplifying radicals) – You can ignore everything past the 10 minute mark, as that is beyond what we’re doing right now.
 Video Archive
Cumulative IXL Modules
 J.5 Solve a quadratic equation using the zero product property
 J.6 Solve a quadratic equation by factoring
 J.9 Solve a quadratic equation using the quadratic formula
 L.1 Roots of integers
 L.3 Find roots using a calculator
 L.7 Multiply radical expressions
 T.1 Identify the direction a parabola opens
 T.2 Find the vertex of a parabola
 T.4 Find the axis of symmetry of a parabola
 From Algebra 1