The last bit of new material for this unit reverses the solving-by-factoring 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
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 shout-outs 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.
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.
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.
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.
More work with solving quadratic equations today, this time with equations that did not factor. Our solution? The quadratic formula.
Part 1 of this unit was on creating graphs of parabolas and other polynomials, identifying their key features. Part 2 is more algebraic, focused on solving quadratic equations by hand and connecting the equations to the graphs more deeplyl. Today was a review of factoring and how that method of algebraic manipulation allows us to solve these equations.
We did one more Desmos Activity in class today to practice our identification and communication of a parabola’s key features. On Monday, we will have a homework quiz about Wednesday’s HW 3.3 and today’s HW 3.5.
Today we took some time to review the vocabulary we introduced yesterday. Your homework is on IXL, and is as follows:
Use your graphing calculator or Desmos.com/calculator to make graphs. If you exceed the minimum requirements of this assignment, your work will be recorded as extra credit.
See yesterday’s post for the link to the debrief from the Polygraph activity
Today was Day 3 of the Desmos-based activities we’ve been using in class to re-introduce ourselves to parabolas. In class yesterday, many of you had some difficulty in properly describing parabolas or in identifying features of parabolas to ask about in order to guess which one your partner had chosen. This shows us that there is a need for a shared vocabulary when describing these entities. Today’s lesson reviewed that vocabulary.
We continued our re-introduction to Parabolas and Quadratic Equations today by playing a game similar to the classic game Guess Who, where you had to ask a series of questions to guess which of 25 parabolas your randomly matched partner selected. This taught us the value of having clearly defined vocabulary to describe the key features of such shapes, as several questions that you asked each other led to confusion!
For tonight’s homework, please complete the Parabola Polygraph Debrief reflection. You will also need to bring in your Chromebook once more tomorrow for the third and final introductory activity to this unit.
Today in class, we did a (hopefully fun!) activity introducing our next unit on Parabolas and Quadratic Equations. Your homework tonight is to reflect on two questions:
- Describe one thing that you learned from the Will It Hit the Hoop Desmos activity from class.
- What else do you think you could use a parabola to model the shape/path of?
Write your reflection on a piece of paper or record them in Socrative (room code G102KIRK)
Bring your Chromebook in tomorrow again for Part 2 of this introduction!
In class today, you were given a preview of Unit 3, which will be a review of Quadratic Functions.
Complete the table using whatever methods you have available to you. Some of it you might remember from Algebra 1 or Geometry. Some you might need to look up online. If you need to go to the HW Help Room in K22, that’s fine too. You have plenty of resources available: use them!
I’ll expect this to be completed on Monday. We’ll review your answers in class.