Algebra II H
Algebra II H
Google Classroom Code for R3: cnzkvxe
Google Classroom Code for S3: hg7cukq
Hello all! Join our Google Classroom using one of the codes above.
Head down to the "What's Been Happening" section on this page to see (often with links) what is going on each day or the "Announcements & Resources" section to find links to helpful websites/documents/videos.
Email me (sarsfields@sau25.net) with any questions at any time!
What's Been Happening
5/15/24 - (1) Random groups will meet to discuss General Log Skills Practice (solutions) ...and may present solutions for some. (3) We will then work on these practice problems in those groups and will present solutions. (3) We may complete a check-in on log graphs & properties. (4) We'll start on this huge problem set. We'll start on and should finish this for HW. (5) We'll be graded on some log basics. (6) HW:: "Even More Practice with Logs"
5/14/24 - (1) We'll review finding inverses and verifying inverses using 3 methods. (2) We'll discuss the HW [practice evaluating logarithmic expressions. (solutions)]. (3) We'll check out the "laws of logarithms" (here's a video on the laws as well...cut a bit short at the end). (this optional video shares a derivation of one of the laws of logs) . (4) HW: Complete General Log Skills Practice (solutions) .
5/13/24 - (1) We'll check in on HW first [practice evaluating logarithmic expressions. (solutions)]. (2) Here is a list of things we know at this point about inverses/composition/logs. (3) We'll begin work on Log solving (solutions). (4) We'll have a graded task on inverses. (5) HW: Complete General Log Skills Practice (solutions) .
5/10/24 - (1) We'll have a few starter problems on inverses, composition, and logs. (2) We'll graph a transformed logarithmic function. (3) We'll work on a graphing task with logs. (4) We'll complete this practice evaluating logarithmic expressions. (solutions). (5) We'll start on this huge problem set if time allows. We only need to work on #'s 1-6 for HW.
5/9/24 - (1) We'll have a few starter problems on inverses, composition, and logs (and will gather any lingering questions). (2) We'll graph a transformed logarithmic function. (3) We'll work on a graphing task with logs. (4) We'll check out the "laws of logarithms" and will also discuss the "change of base" formula (with one goal of being able to evaluate log expressions numerically with a calculator). (here's a video on the laws as well...cut a bit short at the end). (this optional video shares a derivation of one of the laws of logs) AND the "Change of base" formula. (5) We'll complete this practice evaluating logarithmic expressions. (solutions) for HW.
5/8/24 - (1) We'll start right off with a graded task on same base solving. (2) We'll work on some graphing using this task. (3) We will discuss up through #10 from "Some More Inverse/Composition/Logarithm Practice T" (solutions) and will finish any remaining problems. (4) HW: Finish any unfinished classwork from the packet "Some More Inverse/Composition/Logarithm Practice T" (solutions).
5/7/24 - (1) We'll start right off with a graded task on same base solving. (2) We'll work on some graphing using this task. (3) Groups will discuss up through #10 from "Some More Inverse/Composition/Logarithm Practice T" (solutions) and will finish any remaining problems. (4) HW: Finish any unfinished classwork.
5/6/24 - (1) We'll complete a graded task on exponential problem solving ideas. (2) We'll discuss HW solutions on inverses. (3) We'll review/discuss how to determine whether two functions are inverses (numerically/graphically/algebraically with composition) and will work on ideas related to logarithms as well. Here are some resources on these new topics. (4) We will work further on "Some More Inverse/Composition/Logarithm Practice T". (5) HW: Finish up to problem #10 from "Some More Inverse/Composition/Logarithm Practice T" (solutions).
5/3/24 - (1) We'll complete a graded task on exponential problem solving ideas. (2) We'll discuss HW solutions on inverses. (3) We'll review/discuss how to determine whether two functions are inverses (numerically/graphically/algebraically with composition) and will work on ideas related to logarithms as well. Here are some resources on these new topics. (4) We will work further on "Some More Inverse/Composition/Logarithm Practice T". (5) HW: Finish up to problem #10 from "Some More Inverse/Composition/Logarithm Practice T".
5/2/24 - (1) We'll begin with one same base solving problem. (2) We'll share HW solutions. (3) We'll begin our conversation about inverses and logarithms. Here are some resources on these new topics. (4) We'll take home "Some More Inverse/Composition/Logarithm Practice T" for HW (only problem #1) (solutions)
5/1/24 - (1) We'll begin with one same base solving problem. (2) We'll share HW solutions. (3) We'll complete a graded task on exponential problem solving ideas. (4) We'll begin our conversation about inverses and logarithms (with a mix of composition of functions). Here are some resources on these new topics. (5) We'll take home "Some More Inverse/Composition/Logarithm Practice T" for HW (only problem #1) (solutions)
We'll work on "Exponential Problem Solving 4.5". (solutions)
4/30/24 - (1) We'll wipe off the rust with a few starter problems on the many exponential ideas we are supposed to have a grasp of. We will use this problem set (with video solutions within the doc that you can check out later). (2) We'll also look into solving exponential functions when we can get the bases on each side of our equation to be the same. (Video Example 1 and Video Example 2) (3) Here ia extra packet on the same base technique, if interested. (solutions are here) (4) We'll tackle this problem set. (solutions are here) (walk-through video for #’s 2, 4, 5, and 7 are here). (and here is a video for #6). (5) We'll take these problems on solving using the same base technique (solutions) home for HW.
4/29/24 - (1) We'll wipe off the rust with a few starter problems on the many exponential ideas we are supposed to have a grasp of. We will use this problem set (with video solutions within the doc that you can check out later). (2) We'll also look into solving exponential functions when we can get the bases on each side of our equation to be the same. (Video Example 1 and Video Example 2) (3) Here ia extra packet on the same base technique, if interested. (solutions are here) (4) We'll tackle this problem set. (solutions are here) (walk-through video for #’s 2, 4, 5, and 7 are here). (and here is a video for #6). (5) We'll take these problems on solving using the same base technique (solutions) home for HW.
4/17/24 - (1) We'll begin with a couple of starter problems on compounding/exponential growth/decay (including continuous growth). (2) We'll group up to chat about Exponential Problem Set #3. (3) We'll work on a brief graded task on exponential growth. (4) Exponential Set 4.5 (5) We will do a little "same base solving" (just a couple of introductory problems). (6) You are HW free tonight!
4/16/24 - (1) We'll start work on Compound Interest Exploring & Practice. (2) HW (Exponential Problem Set #3) will be discussed. (3) We will discuss compound interest formulas (video example for compounding a finite number of times/year / video discussion of continuous growth) . (4) We'll work on a brief graded task on exponential growth. (5) You are HW free tonight!
4/15/24 - (1) We'll work on some starter problems on exponential graphs and equations...and exponential growth/decay where tech. use helps solve equations. (2) We'll discuss results of Compound Interest Exploring & Practice. (3) We will discuss compound interest formulas (video example for compounding a finite number of times/year / video discussion of continuous growth) . (4) We will complete a check-in on exponential graphs. (5) We'll begin work on Exponential Problem Set #3 and should finish for HW.
4/12/24 - (0) We'll complete one starter problem on finding an equation of a quadratic. (1) We'll group up to iron out issues with "Exponential Problem Set 1" (solutions) and Exponential Problem Set #2 (solutions). (2) We'll tackle a solo assessment on graphs of exponentials. (3) Pairs will battle with "Looking at Properties of Exponentials". (3) We'll begin work on Exponential Problem Set #3 and should finish for HW.
4/11/24 - (1) We'll begin by checking in on and reviewing finding equations from graphs of exponentials, graphing exponentials, transformations of exponentials, solving exponential growth/decay problems, finding equations from tables/points, and more. (2) We'll talk a little about compounding interest more than once a year with an advertised annual rate. Here are some compound interest formulas (And here is a video example for compounding a finite number of times/year). (3) We'll start work on Compound Interest Exploring & Practice and should finish this for HW. (4) Pairs tackled Looking at Properties of Exponentials (collected).
4/10/24 - (1) We'll begin with a few review problems related to graphs of exponentials...with transformations....exponential growth/decay problems....and finding exponential equations from two points. (2) We'll start work on "Exponential Problem Set 1" (solutions) and Exponential Problem Set #2 (solutions). (3) HW: Finish "Exponential Problem Set 1" (solutions) and Exponential Problem Set #2 (solutions).
(4) (5) We will discuss compound interest formulas (video example for compounding a finite number of times/year / video discussion of continuous growth) . (6) We went through a couple of problems where we had to find 'initial amounts' or 'missing rates of growth'. (7) HW: Complete this practice finding equations of exponentials
4/9/24 - (1) We will review how to deal with exponential growth/decay problems. (2) We'll discuss "exponential functions" and graphs of exponentials...including with transformations. We'll also do some whiteboard work. (3) We'll discuss how to find the equation of an exponential function given a couple of points...and will practice a bit. (4) Groups will check on "Exponential Problem Set 1" (solutions) . (5) We'll work on Exponential Problem Set #2 (solutions) [Note: The solution to the first part of problem M shown in the solutions is incorrect. The correct solution is 10,735.8635 stinkbugs. Ooops! ] and should finish it for HW.
4/8/24 - (1) We will check in on Exponential Task 4. (2) We'll sum up how to deal with exponential growth/decay problems. (3) We'll discuss "exponential functions" and graphs of exponentials. We'll also do some whiteboard work. (3) We'll discuss how to find the equation of an exponential function given a couple of points...and will practice a bit. (4) HW:
This website is an optional resource to practice graphing exponentials. (7) This problem set has some extra practice problems with video solutions. (8) Some brief notes on graphs of exponentials here.
4/5/24 - (1) We will work with some percent problems...and will work on one simplification problem with algebraic fractions. (2) We'll chat about some exponential growth/decay problems. (3) We will work on the assignment Exponential Task 4 and will share some solutions. (4) We'll discuss "exponential functions" and graphs of exponentials. We'll also do some whiteboard work. (4) We'll discuss how to find the equation of an exponential function given a couple of points...and will practice a bit. (5) We'll start work on "Exponential Problem Set 1" (solutions here) and should finish it for HW.
4/4/24 - Snow day
4/3/24 - (1) We'll work on "I'm Rationally Rooting for You" (graded task). (2) We'll check in on the Pez problem. (3) We'll individually work on "Algebraic Fractions are Fabulous". (4) There is no mandatory HW.
4/2/24 - (1) We'll check in on the concepts within the Pez problem. (2) We'll individually work on "Algebraic Fractions are Fabulous". (3) We will work with some percent problems. (4) HW: Finish the assignment Exponential Task 4.
4/1/24 - (1) We'll discuss the HW (and may collect it). (2) Pairs will work on this Rational Function Check-In. (3) We'll work on "I'm Rationally Rooting for You" (graded task). (4) We'll start work on the Pez problem and should finish it for HW.
3/29/24 - (1) We'll discuss the HW (and may collect it). (2) (3) Individuals will complete Rational Quiz 17. (4) We'll start work on these algebraic fraction problems (classwork only...unfinished) in pairs. (5) HW: This Pez problem
3/28/24 - (1) We'll chat together about solutions to Rational Function Practice 10. (2) We'll discuss #'s 1-4,7,8,10 from this task in groups/at boards. (3) We'll talk about a 2nd shot at being assessed on the Rational Root Theorem....coming up soon. (4) HW: These Two Rational Graphs with the additional step of listing properties for each (perhaps collected next time?).
3/27/24 - (1) Pairs will work on this Rational Function Check-In. (2) HW: These Two Rational Graphs but add in the listing of "properties" for each function. (perhaps collected next time?).
Individuals will work on the task called "More Rational Function Practice X" (some of which will be completed at whiteboards).
3/26/24 - (1) We'll work on these starter problems (and one more on simply locating asymptotes). (2) We'll work on these Three Algebraic Fraction Problems (graded). (3) We'll start on Rational Function Practice 10(solutions) and will take this home to finish for HW.
3/25/24 - (1) We'll begin by taking any questions folks had and then will work on these starter problems . (2) We'll take on a graded task on division of polynomials (solutions). (3) We'll start on these Three Algebraic Fraction Problems (4) We'll chat about the HW (we'll address a few of the problems). (5) Rational Function Practice 10(solutions).
3/22/24 - (1) We'll begin by taking any questions folks had. We chatted about simplifying algebraic fractions, finding asymptotes, graphing rational functions, finding "holes" in graphs, and more. (2) We'll take on a graded task on division of polynomials (solutions). (3) We'll chat about the HW (we addressed a few of the problems). (4) We'll review the rational root theorem through work on parts of this task. (5) We'll start on these Three Algebraic Fraction Problems (6) HW: Work on #'s 1-4,7,8,10 from this task.
3/21/24 - (1) We'll start by checking in on the classwork/homework from last class...and will sum up rules for graphing rational functions (written notes here and here). Here is a video on graphing rational functions. (2) We'll graph two or three rational functions together. (3) Some may attempt a couple of problems from More Algebraic Fractions (this is an optional task for those wanting to prep for future assessments on the topic) . (4) We'll take on a graded task on division of polynomials (solutions). (5) We'll start on these Three Algebraic Fraction Problems (6) We'll work on "I'm Rationally Rooting for You" (graded task). (7) HW: Rational Function Practice #1
3/20/24 - (1) We'll start by checking in on the classwork/homework from last class...and will sum up rules for graphing rational functions (written notes here and here). Here is a video on graphing rational functions. (2) We'll graph two or three rational functions together. (3) Some may attempt a couple of problems from More Algebraic Fractions (this is an optional task for those wanting to prep for future assessments on the topic) . (4) We'll take on a graded task on division of polynomials (solutions). (5) We'll start on these Three Algebraic Fraction Problems (6) We'll work on a check-in on the rational root theorem and polynomials. (7) HW: Rational Function Practice #1
Rational Function Check-In. I'm Rationally Rooting for You
3/19/24 - (1) First, we'll work on "Rational Functions: You Already Know Them...?" (2) Second, groups will work on the "Follow-Up to Rational Functions: You Already Know Them...?" (3) We may tackle a brief check-in on the "rational root theorem". (4) Anything unfinished from class should be completed for HW.
3/18/24 - (1) First, we'll work on "Rational Functions: You Already Know Them...?" (2) Second, groups will work on the "Follow-Up to Rational Functions: You Already Know Them...?" (3) We may tackle a brief check-in on the "rational root theorem". (4) Anything unfinished from class should be completed for HW.
3/15/24 - (1) We'll start with one problem involving function notation and graphs of polynomials. (2) We'll chat about the "rational root theorem" HW. (3) We'll tackle an assessment on operations with polynomials. (4) We'll factor a quartic polynomial (using the rational root theorem). (5) We'll build a third degree polynomial with exactly three rational roots and will trade with a partner to apply what we've learned to find all roots for the polynomials given. (6) Groups will start work on this task and finish it for HW. (7) We'll start on this introductory task on graphing rational functions. (8) Here is a follow-up to the introductory task on graphs of rational functions.
3/14/24 - (1) We'll start with one problem involving function notation and graphs of polynomials. (2) Pairs will share their work from set #2 from the HW. (3) We'll chat about the "rational root theorem". Here's a video. (4) HW: Find all roots of y=x^3 - 8x^2 +25x - 26 AND finish any work from this WS. (5) We'll tackle an assessment on operations with polynomials.
**Note: Anyone looking for any redemption related to any recent graded tasks should meet with me this week to come up with a plan. Next week will be too late!**
3/13/24 - (1) We'll complete some sort of graded task on an older topic...perhaps imaginary numbers, number sets, or something else! (2) Pairs will share their work from set #2 from the HW. (3) We'll chat about the "rational root theorem". Here's a video. (4) HW: Finish any work from this WS. (5) We'll tackle an assessment on operations with polynomials.
3/11/24 - (1) We'll complete a graded task on graphs of polynomials. (2) We'll discuss our HW on simplifying algebraic fractions . (3) We will work on #45 from set #2 of the HW sheet. (4) HW: Finish set #2 from this work on simplifying algebraic fractions (you don't have to complete #45 again if you got it correct already!).
Rational Root Theorem Synthetic PS QZ Poly OPs QZ
3/8/24 - (1) We'll complete a graded task on graphs of polynomials. (2) We'll complete a graded task on "number sets" and imaginary numbers. (3) We'll discuss our HW on simplifying algebraic fractions . (4) We will work on #45 from set #2 of the HW sheet. (5) HW: Finish set #2 from this work on simplifying algebraic fractions (you don't have to complete #45 again if you got it correct already!)..
3/7/24 - (1) We'll start by trying to convert something in quotient-remainder form to a single algebraic fraction....and will simplify a few other algebraic fractions. (2) We'll then pair up to share answers to the HW ("Polynomials and Long Division"). (3) We'll work on simplifying algebraic fractions (4) We'll complete work on polynomial problem-solving. (5) HW: Finish the circled problems within set #1 from this work on simplifying algebraic fractions
3/6/24 - (1) We'll start by trying to convert something in quotient-remainder form to a single algebraic fraction....and will simplify a few other algebraic fractions. (2) We'll then pair up to share answers to the HW ("Polynomials and Long Division"). (3) We'll tackle an assessment on operations with polynomials. (4) We'll work on simplifying algebraic fractions and should finish circled problems from "set 1" for HW. (5) We will take a quick look at the "rational root theorem". (3) HW: Find all roots of y=x^3 - 8x^2 +25x - 26
3/5/24 - (1) We'll start with a couple of division problems (using both methods we know, if possible). (2) We'll check in on (and finish) this task connecting division to factoring. (3) We will start on some polynomial problem-solving (most only had a little bit left to finish later). (4) Expect graded tasks on polynomials anytime! (5) We may start work on simplifying algebraic fractions (odd problems only from #'s3-27,31-45,48,49,56,62-67) . Here are a few solutions. (6) HW: "Polynomials and Long Division"
3/4/24 - (1) We'll start with a couple of division problems (using both methods we know, if possible). (2) We'll check in on (and finish) this task connecting division to factoring. (3) We will start on some polynomial problem-solving (most only had a little bit left to finish later). (4) Expect graded tasks on polynomials anytime! (5) We may start work on simplifying algebraic fractions (odd problems only from #'s3-27,31-45,48,49,56,62-67) . Here are a few solutions. (6) HW: "Polynomials and Long Division"
This work on simplifying algebraic fractions (odd problems only from #'s2-27,31-45,48,49,56,57,62-67) . Here are a few solutions.
2/23/24 - (1) We'll begin with a couple of long division of polynomial problems. (2) We'll discuss and practice synthetic division. (3) We'll check in on HW (Operations with Polynomials). (4) A Gimkit on polynomials? (5) We will start on some polynomial problem-solving. (6) Task connecting division to factoring
2/22/24 - (1) We'll begin with a couple of long division of polynomial problems. (2) We'll discuss synthetic division. (3) We'll check in on HW (Operations with Polynomials). (4) A Gimkit on polynomials? (5) We will start on some polynomial problem-solving. (6) Task connecting division to factoring
2/21/24 - (1) We'll begin with groups sharing results from "Polynomials are Nice Functions". (2) We will take on a graded task on polynomial graphs. (3) We will start on some polynomial problem-solving. (4) We'll walk through a "long division" problem (or two) with polynomials. Here is a video example. Some other examples can be found on this website. (5) HW: Operations with Polynomials practice
2/20/24 - (1) We'll begin with groups sharing results from "Polynomials are Nice Functions". (2) We'll wrap up our work on this task. (3) We will take on a graded task on polynomial graphs. (4) We will start on some polynomial problem-solving. (5) We'll walk through a "long division" problem (or two) with polynomials. Here is a video example. Some other examples can be found on this website. (6) HW: Operations with Polynomials practice
2/19/24 - (1) We'll begin with a bunch of starter problems (solutions)on graphs/equations of polynomials in standard/factored form. (2) Groups will check in on Poly Graphing Z (3) HW: "Polynomials are Nice Functions".
2/16/24 - (1) We'll begin with a bunch of starter problems (solutions)on graphs/equations of polynomials in standard/factored form. (2) We'll discuss solutions to Poly Graphing Z and "Just Before Polynomials". (3) (4) HW: "Polynomials are Nice Functions"
2/15/24 - (1) We'll check in on how the video viewing went...and will practice graphing polynomials in both standard and factored form (2) We'll use our graphing calculators a bit to check on graphs of polynomials. (3) We'll work on Poly Graphing Z. (4) HW: Finish Poly Graphing Z
2/14/24 - (1) We'll chat about polynomials and what their graphs can look like (specifically when given standard form). Here are some notes on polynomials. Here is a shorter video intro. Here is a longer video. We'll also play our graphing calculators a bit...changing windows, graphing functions, and applying function notation. (2) We'll work on "Just Before Polynomials" next. (3) We'll work on a complex number check-in individually. (3) We'll wrap up our work on this task. (4) HW: Poly Graphing Z. (and finish "Just Before Polynomials" if you haven't already)
2/13/24 - (1) We'll start by working in pairs on this set of quadratic word problems. (2) We'll work on "Just Before Polynomials" next. (3) Next, we'll work on another complex number check-in individually. (4) HW: Watch these videos about polynomials and what their graphs can look like (specifically when given standard form). Here is a shorter video intro. Here is a longer video. (5) Here are some notes on polynomials.
2/12/24 - (1) Groups will work on this problem solving task on complex numbers (2) We'll share some answers to A Few More Quadratic Word Problems. (3) HW: This Desmos Activity on "Polynomials" (R3 only)
2/9/24 - (1) Groups will work on this problem solving task on complex numbers (2) We'll share some answers to A Few More Quadratic Word Problems. (3) HW: This Desmos Activity on "Polynomials" (S3 only)
2/8/24 - (1) We'll start with a word problem and a problem related to roots of a cubic function. (2). We'll take some time to discuss this HW task from two classes ago. (3) We'll chat about some of the problems from Some Quadratic Problems to Solve" (solutions). (4) Pairs will work on this task on finding equations with given roots. (5) HW: HW: Fully attempt A Few More Quadratic Word Problems
2/7/24 - (1) We'll start with a word problem and a problem related to roots of a cubic function. (2) We'll chat about any questions from Imaginary WS H (3) We may apply regression to a data set and possibly solve some equations with our graphing calculators. (4) We'll have an assessment on imaginary numbers/number sets. (5) We'll work on A Few More Quadratic Word Problems. (6) HW: Fully attempt A Few More Quadratic Word Problems
2/6/24 - (1) We'll start with the "walkway problem". (discussion). (2) We'll take some time to discuss the HW. (3) We'll look at a couple of whiteboard problems on finding equations with given roots. (4) Pairs will take on "Quick Imaginary Number Check-In" (solutions). (5) We'll chat about some of these quadratic word problems (answers) (discussion). (6) We may start work on "Some Quadratic Problems to Solve" (solutions) and should finish it for HW .
We may start on this task (finding equations especially with complex, non-real roots).
2/5/24 - (1) We'll discuss some of these quadratic word problems (mainly problem B). (answers) (discussion). (2) We'll wrap our pair work on this task (finding equations especially with complex, non-real roots). (3) We'll work on the "walkway problem". (discussion). (4) We'll work on a problem or two from "Some Quadratic Problems to Solve" (solutions) (mainly discussed #'s 2 & 3). (6) HW: Imaginary WS H
2/2/24 - (1) We'll review operations with imaginary/complex numbers, raising "i" to powers, solving quadratics when given complex roots. (2) We will find equations of quadratics with certain given roots with a specific focus on finding equations of quadratics with given complex roots. We'll also discuss the "Fundamental Theorem of Algebra". (3) We'll discuss HW. (4) We'll finish 3 problems from the NRT. (5) HW: Imaginary WS H
2/1/24 - (1) We'll begin with some starter problems on finding equations with given roots and the use of conjugates. (2) We'll check on HW...and share some solutions. (3) Pairs will also work on this task on complex numbers and roots/factors (not quite completed). (4) HW: Finish fully attempting these quadratic word problems. (answers) (discussion) AND work on .
1/31/24 - (1) We'll work on some remaining assessment questions from our NRT. (2) We'll chat about various things we can do with imaginary numbers...and review what we know of "number sets". Here are some notes on imaginary numbers. (3) HW: this task and these quadratic word problems. (answers) (discussion)
1/30/24 - (1) We'll follow up with some whiteboard practice on similar skills. (2) We will find equations of quadratics with certain given roots with a specific focus on finding equations of quadratics with given complex roots. We'll also discuss the "Fundamental Theorem of Algebra". (3) Pairs will complete "Quick Imaginary Number Check-In" (solutions). (4) HW: this task
1/29/24 - **SNOW DAY**
1/26/24 - (1) We'll work on some remaining assessment questions from our NRT. (2) We'll chat about various things we can do with imaginary numbers. Here are some notes on imaginary numbers. (3) HW: this task
1/25/24 - (1) We'll have our quadratics NRT today. (2) We'll chat about "number sets" and what imaginary numbers are. (3) HW: this task on number sets
1/24/24 - (1) We'll have our quadratics NRT today. (2) We'll chat about "number sets" and what imaginary numbers are. (3) HW: this task on number sets
1/22/24 - (1) We'll begin with some starter problems (transformations and function notation, finding an equation from a data table, using "differences", finding intercepts, describing properties of functions). (2) We'll take questions folks have about any review questions. (3) Our NRT is on 1/24/24 (Wed.)...which is our next class! (3) We may start work on "Some Quadratic Problems to Solve" (solutions). (4) HW: Review for your NRT
1/19/24 - (1) We'll begin with some starter problems (transformations and function notation, finding an equation from a data table, using "differences", finding intercepts, describing properties of functions). (2) We'll take questions folks have about any review questions. (3) Our NRT is on 1/25/24...which is our next class! (3) We started a Kahoot! We may start work on "Some Quadratic Problems to Solve" (solutions). (4) HW: Review for your NRT
1/18/24 - (1) We'll start by pairing up tackle a graded check-in on multiple quadratic topics. (pairs) (2) Groups will check in on "Some Quadratic Problem Solving" by working through a few related problems. (3) We'll be having an NRT on quadratics on Wednesday, 1/24/24 (silver). Some review materials are below in bold. (5) HW: Work on some of the review problems listed below and bring in questions next time!
Here is a first set of problems to help REVIEW FOR THE QUADRATICS NRT (solutions are included in the doc)
Here is a second set of REVIEW PROBLEMS FOR THE QUADRATICS NRT (solutions are HERE)
Here is a third set of REVIEW PROBLEMS FOR THE NRT (solutions )
Here is a LIST OF TOPICS FOR OUR QUADRATIC NRT
solve a few quadratic word problems.
1/17/24 - (1) We'll start by pairing up tackle a graded check-in on multiple quadratic topics. (pairs) (2) Groups will check in on "Some Quadratic Problem Solving" by working through a few related problems. (3) We'll be having an NRT on quadratics on Thursday, 1/25/24 (silver). Some review materials are below in bold. (5) HW: Work on some of the review problems listed below and bring in questions next time!
Here is a first set of problems to help REVIEW FOR THE QUADRATICS NRT (solutions are included in the doc)
Here is a second set of REVIEW PROBLEMS FOR THE QUADRATICS NRT (solutions are HERE)
Here is a third set of REVIEW PROBLEMS FOR THE NRT (solutions )
Here is a LIST OF TOPICS FOR OUR QUADRATIC NRT
Some Quadratic Word Problems to Solve
1/16/24 - SNOW DAY!
1/11/24 - (1) We'll have our last few groups launch their marble. (2) Groups will begin work on "Some Quadratic Problem Solving". (3) Pairs met up to work on the last problem from "Some Quadratic Problem Solving"....and we looked at a related graph for this question together. (4) We chatted about next year's course options. (5) We briefly reviewed what multiplying/dividing both sides of an inequality changes. (6) HW: Fully attempt all remaining problems from "Some Quadratic Problem Solving".
1/10/24 - (1) We'll have our last few groups launch their marble. (2) Groups will begin work on "Some Quadratic Problem Solving". (3) Pairs met up to work on the last problem from "Some Quadratic Problem Solving"....and we looked at a related graph for this question together. (4) We chatted about next year's course options. (5) We briefly reviewed what multiplying/dividing both sides of an inequality changes. (6) HW: Fully attempt all remaining problems from "Some Quadratic Problem Solving".
1/9/24 - (1) We'll may collect HW on solving (never did end up collecting it today, but I might next class). (2). We'll have a bit more time to work on the marble project. (3) We'll beging launching! (4). HW: No assigned HW tonight (though feel free to add things to your marble project) We'll begin and take home "Some Quadratic Problem Solving".
1/8/24 - (1) We'll may collect HW on solving (never did end up collecting it today, but I might next class). (2). We'll have a bit more time to work on the marble project. (3) We'll beging launching! (4). HW: No assigned HW tonight (though feel free to add things to your marble project) We'll begin and take home "Some Quadratic Problem Solving".
1/5/24 - (1) We'll start off by taking questions, checking in on HW (collected, too), and working on one review problem. (2) We'll group up to complete our work for the marble launcher project. (3) We may be assessed on solving quadratics. (4) HW on Solving Quadratics
1/4/24 - (1) We'll start off by taking questions, checking in on HW (collected, too), and working on one review problem. (2) We'll group up to complete our work for the marble launcher project. (3) We may be assessed on solving quadratics. (4) HW on Solving Quadratics
1/3/24 - (1) We'll start off with a couple of review problems on solving quadratics and finding equations of quadratics. (2) We'll begin work on the marble launcher project. (3) We'll also work on "Some Quadratic Problem Solving". (4) HW: "Quadratic Review Problems Q"
1/2/24 - (1) We'll start off with a couple of review problems on solving quadratics and finding equations of quadratics. (2) We'll begin work on the marble launcher project. (3) We'll also work on "Some Quadratic Problem Solving". (4) HW: "Quadratic Review Problems Q"
12/22/23 - (1) We'll check in and practice a bit more with solving quadratics using four different methods (through our HW discussion). (2) We'll complete a "finding equations" graded task. (3) Gimkit
12/21/23 - (1) We'll check in and practice a bit more with solving quadratics using four different methods (through our HW discussion). (2) We'll complete a "finding equations" graded task. (3) Gimkit
12/20/23 - (1) We'll take questions on the HW. (2) We'll complete a review problem on finding equations (solutions). (3) We'll discuss solving quadratic equations....and complete a few practice problems. (3) Here are some notes on ways to solve quadratic equations. (5) We'll take on a "systems" graded task along with a "finding equations" graded task. (6) HW: Solving Quadratic Equations Practice
12/19/23 - (1) We'll take questions on the HW. (2) We'll complete a review problem on finding equations (solutions). (3) We'll discuss solving quadratic equations....and complete a few practice problems. (3) Here are some notes on ways to solve quadratic equations. (5) We'll take on a "systems" graded task along with a "finding equations" graded task. (6) HW: Solving Quadratic Equations Practice
12/18/23 - (1) We'll start by solving a system of equations....and discussing cases with "no solution" and "infinite solutions". (2) We'll check in on HW (this set of problems on systems with more than two variables). (3) We'll tackle this quadratic properties graded task. (4) We will solve a four equation/four variable system. (5) We'll build systems with given solutions (for others to solve). (6) HW: Systems problem solving task
12/15/23 - (0) We'll collect "I Threw a Pen Cap". (1) We'll start by solving a system of equations....and discussing cases with "no solution" and "infinite solutions". (2) We'll check in on HW (this set of problems on systems with more than two variables). (3) We'll tackle this quadratic properties graded task. (4) We will solve a four equation/four variable system. (5) We'll build systems with given solutions (for others to solve). (6) HW: Systems problem solving task
12/14/23 - (0) We'll collect "I Threw a Pen Cap". (1) We'll start right off finding a perfect-fit quadratic equation given three points....and will practice solving systems, in general. (2) We'll have a brief quadratic graphing check-in. (3) HW: Work on this set of problems on systems with more than two variables. (4) This review set on systems of two equations/two variables is made available for anyone wanting some review/practice...but is not officially assigned.
12/13/23 - (1) We'll start right off finding a perfect-fit quadratic equation given three points....and will practice solving systems, in general. (2) We'll have a brief quadratic graphing check-in. (3) HW: Work on this set of problems on systems with more than two variables. (4) This review set on systems of two equations/two variables is made available for anyone wanting some review/practice...but is not officially assigned.
12/12/23 - (0) We'll review finding equations of quadratics from roots/vertices/with an extra point. (1) We'll individually work on this graded task mainly on converting between quadratic forms. (2) We'll check over and discuss HW ( "Quadratic Design" ) . (3) We'll take a look at one "perfect fit" quadratic problem (example here) and begin a discussion of systems of equations. (4) HW: Complete: "I Threw a Pen Cap"
12/11/23 - (0) We'll review finding equations of quadratics from roots/vertices/with an extra point. (1) We'll individually work on this graded task mainly on converting between quadratic forms. (2) We'll check over and discuss HW ( "Quadratic Design" ) . (3) We'll take a look at one "perfect fit" quadratic problem (example here) and begin a discussion of systems of equations. (4) HW: Complete: "I Threw a Pen Cap"
12/8/23 - (1) We'll upload picture of our HW (this packet). (2) We'll time ourself as we graph three quadratics. (3) We'll start work on "A Bunch of Quad Probs" in groups (collected, possibly unfinished). (4) We discussed how to find equations of quadratics from graphs (and find a-values). Here is a video on how to find the equation of a quadratic using vertex form (when given the vertex). Here is a video on how to find the equation of a quadratic in factored form (when given roots). (6) HW: "Quadratic Design" (watch the videos above...they may help)
12/7/23 - (1) We'll upload picture of our HW (this packet). (2) We'll time ourself as we graph three quadratics. (3) We'll start work on "A Bunch of Quad Probs" in groups (collected, possibly unfinished). (4) We discussed how to find equations of quadratics from graphs (and find a-values). Here is a video on how to find the equation of a quadratic using vertex form (when given the vertex). Here is a video on how to find the equation of a quadratic in factored form (when given roots). (6) HW: "Quadratic Design" (watch the videos above...they may help)
12/6/23 - (1) We'll start by sharing solutions to and collecting the HW. (2) We'll complete a "completing the square" check-in. (3) We will begin a conversation about graphing quadratics quickly....and might come up with directions for ourself to do just that. (4) Here are some notes on graphing quadratics. (5) We might do some board-work with graphing quadratics. (6) HW: Read through the techniques discussed in this packet. and see how you do with the graphing on the last page(time yourself!).
12/5/23 - (1) We'll start by sharing solutions to and collecting the HW. (2) We'll complete a "completing the square" check-in. (3) We will begin a conversation about graphing quadratics quickly....and might come up with directions for ourself to do just that. (4) Here are some notes on graphing quadratics. (5) We might do some board-work with graphing quadratics. (6) HW: Read through the techniques discussed in this packet. and see how you do with the graphing on the last page(time yourself!).
12/4/23 - (1) We'll start with a couple of problems on converting between quadratic forms. (2) We'll check in on these completing the square problems. Groups will meet up to show some completing the square work on whiteboards. (3) We'll pair up for work on this practice on converting between quadratic forms, if time allows, and should finish this for HW. (solutions) (4) We'll tackle a graded task on expanding and factoring.
12/1/23 - (1) We'll start with a couple of problems on converting between quadratic forms. (2) We'll check in on the last section of "Some Converting..." Groups will meet up to show some completing the square work on whiteboards. (3) We'll pair up for work on this practice on converting between quadratic forms, if time allows, and should finish this for HW. (solutions) (4) We'll tackle a graded task on expanding and factoring.
11/30/23 - (1) We'll start with a factoring problem. (2) We'll discuss the process of "completing the square". (3) We'll chat about "Some Converting..." (4) We'll do some wall/board work on converting between forms of quadratics. (5) HW: Complete these completing the square problems.
11/29/23 - (1) We'll start with a factoring problem. (2) We'll discuss the process of "completing the square". (3) We'll chat about "Some Converting..." (4) We'll do some wall/board work on converting to vertex from from standard form using CTS. (5) HW: Complete the last section (using completing the square) from "Some Converting..."
(7) HW: Write down a set of directions that would allow someone to graph a function in the form y=a(x-h)^2+k quickly. We will also be faced with an assessment on modeling.
11/28/23 - (1) We'll begin with some practice with finite differences. Here is some other practice we may not get to. 2) We'll next have a discussion of the main forms of quadratics and the process of converting between forms (and will practice these skills). These notes were shared earlier. Here is a video on "expanding". Here is a video on "factoring". Here is a video on "completing the square". (3) We'll work on this task on "completing the square" (solutions) . (4) "Some Converting...V2" should be finished for HW.
11/27/23 - (1) We'll begin with some practice with finite differences. Here is some other practice we didn't get to. 2) We'll next have a discussion of the main forms of quadratics and the process of converting between forms (and will practice these skills). These notes were shared earlier. Here is a video on "expanding". Here is a video on "factoring". Here is a video on "completing the square". (3) We'll work on this task on "completing the square" (solutions) . (4) Parts A, B, and C from "Some Converting..." should be finished for HW.
**Thanksgiving Break**
11/21/23 - (1) We'll wrap up the Pendulum project...and collect work from groups. (2) Some will complete this practice on differences/regression. (solutions) (3) We'll check in on the idea of "finite differences" (now that you've watched the video for HW). (4) We'll have a brief graded task called "Using Some Tech" (5) We may discuss expanding & factoring.
11/20/23 - (1) We'll wrap up the Pendulum project...and collect work from groups. (2) We'll complete this practice on differences/regression. (solutions) (3) We'll check in on the idea of "finite differences" (now that you've watched the video for HW). (4) We'll have a brief graded task called "Using Some Tech" (5) We may discuss expanding & factoring.
11/17/23 - (1) We'll continue our work with the Pendulum Project. (2) We'll discuss/collect "Bedford's Next Top Modeler". (3) We'll chat about "finite differences". (4) HW: This practice on differences/regression NO HW!
11/16/23 - (0) We'll model some data...and review regression along the way. (1) We'll continue our work with the Pendulum Project. (2) We'll discuss/collect "Bedford's Next Top Modeler". (3) HW is to watch this video: "finite differences" and answer a couple of questions post-video (questions posted in Classroom).
11/15/23 - (1) We'll discuss/collect "Modeling With Power Functions..." . (2). We'll run through how to use regression in modeling. (3) We'll continue our work with the Pendulum Project. (this link is for teachers only) . (4) HW: "Bedford's Next Top Modeler"
11/14/23 - (1) We'll discuss/collect "Modeling With Power Functions..." . (2). We'll run through how to use regression in modeling. (3) We'll begin a Pendulum Project. (this link is for teachers only) . (4) HW: "Bedford's Next Top Modeler"
11/13/23 - (1) We'll model some data. (2) Here is a lengthy walk-through of the modeling process. (3) Here is a video that shows a modeling example with a linear function. (4) We'll work on "Modeling With Power Functions...". (5) HW: Complete: "Modeling With Power Functions..." (6) We'll begin a Pendulum Project. (this link is for teachers only)
11/9/23 - (1) We'll model some data. (2) Here is a lengthy walk-through of the modeling process. (3) Here is a video that shows a modeling example with a linear function. (4) We'll work on "Modeling With Power Functions...". (5) HW: Complete: "Modeling With Power Functions..."
11/8/23 - (1) We will work on "Algebraic Practice M" (2) We'll then work on a true/false task on algebraic expressions. (3) We'll get these notes on converting between different forms of quadratics. (3) Here is a video on "expanding". Here is a video on "factoring". (4) We will then work on "Some Converting..." (5) If time allows, we'll work on some review problems on "systems of equations".
11/7/23 - (1) 2nd part of NRT today! (2) We'll look at collecting data related to "doing the wave"...and modeling that data.
11/6/23 - (1) 2nd part of NRT today! (2) We'll look at collecting data related to paper airplanes.
11/3/23 - (1) NRT today! (2) We'll look at collecting data related to paper airplanes.
11/2/23 - (1) NRT today! (2) When folks finish, they'll work on this task.
11/1/23 - (0) We'll begin by creating some equations with various given solutions. (1) We'll begin with individuals completing "Lots More Fun with Function Notation". (2) We'll take questions from this review set (solutions). (3) NRT next class!! (4) Pairs will complete these simplifying and solving problems . (5) We'll have more work time for the review set above. (6) HW: Prep further for the NRT (unit assessment) next class.
10/31/23 - (0) We'll begin by creating some equations with various given solutions. (1) We'll begin with individuals completing "Lots More Fun with Function Notation". (2) We'll take questions from this review set (solutions). (3) NRT next class!! (4) Pairs will complete these simplifying and solving problems . (5) We'll have more work time for the review set above. (6) HW: Prep further for the NRT (unit assessment) next class
10/30/23 - (1) We'll start right out sharing solutions (and finishing) "Extra Practice on a Bunch of Things" (solutions ) . (2) Pairs will complete "Simp". (3) We'll begin work on this review set (solutions) . (4) HW: Work on some problems from this review set (solutions).
10/27/23 - (1) We'll start right out sharing solutions (and finishing) "Extra Practice on a Bunch of Things" (solutions ) . (2) Pairs will complete "Simp". (3) We'll begin work on this review set (solutions) . (4) HW: Work on some problems from this review set (solutions).
"It's Beginning to Look A Lot Like Transformations".
10/26/23 - (1) One solving of equations problem (graded) (2) Our NRT will be on 11/3. (3) We'll gather questions from our topics list and this task. We'll also walk through another example or two of determining whether a function is even or odd (or neither). (4) Pairs will complete these simplifying and solving problems . (5) We'll start "Extra Practice on a Bunch of Things" (solutions ) and take the rest home for HW.
10/25/23 - (1) One solving of equations problem (graded) (2) Our NRT will be on 11/2. (3) We'll gather questions from our topics list and this task. (4) Pairs will complete these simplifying and solving problems . (5) We'll start "Extra Practice on a Bunch of Things" (solutions ) and take the rest home for HW.
10/24/23 - (1) "Function Notation Starter Problems" (2) We'll chat in groups about the HW on function notation (solutions). (3) We will chat about the notion of even/odd functions. (4) We will start work on this task that lists topics we should know as well as asks questions about even/odd functions. (6) What's an NRT? We'll be having one next week! (7) HW: Finish this task.
10/23/23 - (1) "Function Notation Starter Problems" (2) We'll chat in groups about the HW on function notation (solutions). (3) We will chat about the notion of even/odd functions. (4) We will start work on this task that lists topics we should know as well as asks questions about even/odd functions. (6) What's an NRT? We'll be having one next week! (7) HW: Finish this task.
10/19/23 - (1) HW will be checked and discussed....and we'll have a starter set on "intercepts". (2) We'll chat about function notation . (3) We'll try out this task on function notation. (4) We will work on "Put Your Transformation Knowledge to the Test". (5) HW on function notation (solutions). Only do the circled problems!
10/18/23 - (0) HW will be collected....and we'll have a starter set on "intercepts". (1) One solving of equations problem (graded) (2) We'll chat about function notation . (3) We'll try out this task on function notation. (4) We will work on "Put Your Transformation Knowledge to the Test". (5) HW on function notation (solutions). Only do the circled problems!
10/17/23 - (1) We'll start with one last set of practice on solving equations involving power functions. Issues that came up included identifying when there is more than one solution, when there is no solution, how to check work numerically/graphically, and the idea of simplifying. (2) Pairs worked on this task on function properties and checked solutions (and then asked questions). (3) Pairs considered these true-false statements (to be discussed later...but only #'s 6 & 8 were true). (4) HW: These problems
10/16/23 - (1) We'll start with one last set of practice on solving equations involving power functions. Issues that came up included identifying when there is more than one solution, when there is no solution, how to check work numerically/graphically, and the idea of simplifying. (2) Pairs worked on this task on function properties and checked solutions (and then asked questions). (3) Pairs considered these true-false statements (to be discussed later...but only #'s 6 & 8 were true). (4) HW: These problems
10/13/23 - (1) Groups will meet up to discuss solutions to the HW. (2) We'll individually work on a solving equations task. Collected just to see how folks are doing. (3) Individuals will complete "Properties Task 64". (4) Individuals will tackle an assessment on transformations. (5) HW (review problems)
10/12/23 - (1) Groups will meet up to discuss solutions to the HW. (2) We'll individually work on a solving equations task. Collected just to see how folks are doing. (3) Individuals will complete "Properties Task 64". (4) Individuals will tackle an assessment on transformations. (5) HW (review problems)
10/11/23 - (1) We'll start with a task of finding a function with a given set of properties. (2) We'll discuss algebraic approaches to solving equations (especially in the case of transformed power functions). We may even verify solutions using graphing and some technology. [Video 1(general solving) Video 2(solving with negative exponents) Video 3(solving with rational exponents).] (3) Individuals will complete "Properties Task 64". (4) HW: Solving Equations Practice (you may use a graphing calculator for the graphing work for two of the problems!)
10/10/23 - (1) We'll start with a task of finding a function with a given set of properties. (2) We'll discuss algebraic approaches to solving equations (especially in the case of transformed power functions). We may even verify solutions using graphing and some technology. [Video 1(general solving) Video 2(solving with negative exponents) Video 3(solving with rational exponents).] (3) Individuals will complete "Properties Task 64". (4) HW: Solving Equations Practice (you may use a graphing calculator for the graphing work for two of the problems!)
10/6/23 - (1) We'll start with one high-quality graph involving transformations (individually done and collected). (2). "Starting to Solve Things" (solutions) will be worked on in trios. (2) We'll run through graphing calculator use...reviewing window changes and walking through finding intercepts and solving equations. (3) We'll group up to start work on some of the later problems of this transformation & property practice. (5) HW: Finish this transformation & property practice.
10/5/23 - (1) We'll start with one high-quality graph involving transformations (individually done and collected). (2). "Starting to Solve Things" (solutions) will be worked on in trios. (2) We'll run through graphing calculator use...reviewing window changes and walking through finding intercepts and solving equations. (3) We'll group up to start work on some of the later problems of this transformation & property practice. (5) HW: Finish this transformation & property practice.
10/4/23 - (1) We'll begin with finding the domain of a function like y=sqrt(2x+4) using inequalities....and may transform the absolute value function. (2) Pairs will complete Pair Transformation Task 48. (3) Pairs will battle through "Finding Function Extravaganza". (4) Groups will check on (and complete) "Transformation Practice 11". (5) We'll review function properties with this HW assignment.
few problems involving function notation. . Some starter review problems
10/3/23 - (1) We'll begin with finding the domain of a function like y=sqrt(2x+4) using inequalities....and may transform the absolute value function. (2) Pairs will complete Pair Transformation Task 48. (3) Groups will check on (and complete) "Transformation Practice 11". (4) Individuals will turn in one high-quality graph involving transformations. (5) We'll review function properties with this HW assignment.
10/2/23 - (1) We'll begin with one carefully created graph of a transformed power function (checked with a graphing calculator)....and a couple of questions where folks must find equations for functions with given properties. (2) Groups will check in on "Transformation of Power Function Practice U" and will finish side 2. (3) Pairs will battle through "Finding Function Extravaganza". (4) HW: Finish only #'s 1-9 (do both #9's) of "Transformation Practice 11" for HW.
9/29/23 - (1) We'll begin with one carefully created graph of a transformed power function (checked with a graphing calculator)....and a couple of questions where folks must find equations for functions with given properties. (2) Groups will check in on "Transformation of Power Function Practice U" and will finish side 2. (3) Pairs will battle through "Finding Function Extravaganza". (4) HW: Finish only the 6 graphs in the first section of "Transformation Practice 11" for HW.
9/28/23 - (1) We'll sketch some graphs and find some equations involving transformations of power functions. (2) We'll walk through the ideas from the HW ("Transforming Functions 35") essentially getting at how to graph functions with precision in a more efficient way. (3) Some may complete "Playing with Properties"after another example or two. (4) We'll take on an assessment on some recent ideas. (5) We'll start "Transformation of Power Function Practice U" and finish SIDE ONE ONLY for HW.
9/27/23 - (1) We'll sketch some graphs and find some equations involving transformations of power functions. (2) We'll walk through the ideas from the HW ("Transforming Functions 35") essentially getting at how to graph functions with precision in a more efficient way. (3) Some may complete "Playing with Properties"after another example or two. (4) We'll take on an assessment on some recent ideas. (5) We'll start "Transformation of Power Function Practice U" and finish SIDE ONE ONLY for HW.
9/26/23 - (1) We'll begin with some whiteboard work getting at the idea behind function "transformations"....and what folks noticed when doing HW. We'll chat about how graphing some functions can be tricky...but knowledge of transformations may make things easier. Here is a video summing up most of the transformations. (2) Pairs will work on "Playing with Properties" (turned in to "hold" for now) . (3) HW: "Transforming Functions 35"
9/25/23 - (1) We'll begin with some whiteboard work getting at the idea behind function "transformations"....and what folks noticed when doing HW. We'll chat about how graphing some functions can be tricky...but knowledge of transformations may make things easier. Here is a video summing up most of the transformations. (2) Pairs will work on "Playing with Properties" (turned in to "hold" for now) . (3) HW: "Transforming Functions 35"
9/22/23 - (1) We'll start by individually "describing a function fully". (2) We'll finish up this assignment on function properties from last class. (3) Individuals will work on this Desmos activity (Link for S3 here). (4) Here is a video summing up most of the transformations. (5) HW: Complete the Desmos activity and also graph (carefully on graph paper) this function: y = -4(x+3)^(-1) - 6
. Some starter review problems (5) R "Put Your Transformation Knowledge to the Test". (7) "Finding Function Extravaganza". (2) We will touch base on the HW (most of the solutions here).
9/21/23 - (1) We'll start by individually "describing a function fully". (2) We'll finish up this assignment on function properties from last class. (3) Individuals will work on this Desmos activity (Link for R3 here). (4) Here is a video summing up most of the transformations. (5) We'll start on "Transformation of Power Function Practice U". (6) HW: Complete "Transformation of Power Function Practice U" up to problem # ___ .
9/20/23 - (1) We'll start with one problem on domain & range. (2) We'll discuss all of our other function properties (see resources on write-up below for last class). (3) We'll check in on the domain and range for all "big 6" power functions (was due for HW). (4) We'll list properties for the "big 6" power functions..in groups at boards. (5) Pairs will work on this assignment on function properties (you may have to make tables and graphs for the given functions first!) (most of the solutions here). This was CW only. (6) We'll be graded on simplification and graphing...again. (7) HW: Send me an email...tell me how things are going for you....tell me about some of the questions you have....tell me what your third favorite movie is....just tell me things.
9/19/23 - (1) We'll start with one problem on domain & range. (2) We'll discuss all of our other function properties (see resources on write-up below for last class). (3) We'll check in on the domain and range for all "big 6" power functions (was due for HW). (4) We'll list properties for the "big 6" power functions..in groups at boards. (5) Pairs will work on this assignment on function properties (you may have to make tables and graphs for the given functions first!) (most of the solutions here). This was CW only. (6) HW: Send me an email...tell me how things are going for you....tell me about some of the questions you have....tell me what your third favorite movie is....just tell me things.
9/18/23 - (0) We'll start by graphing a couple of "transformed" versions of y=x^2....and will simplify an expression. (1) We'll begin by discussing a couple of questions from this problem-solving task on power functions #1 . (2) We'll briefly check in on power function graphs. Do folks have any questions about any of our power graphs? (3) We'll begin to describe functions fully. We'll describe the properties of functions [ONLY DOMAIN AND RANGE WERE COVERED TODAY!] (here is a summary of function properties) together. This link will take you to my page of resources on many function properties. (4) Power Function Task #1 (graded task) We'll be graded on simplification and graphing...again. (5) HW: Describe the domain and range of each of the big six power functions using phrases AND interval notation....and include x^2 + 4 = y.
9/15/23 - (0) We'll start by graphing a couple of "transformed" versions of y=x^2....and will simplify an expression. (1) We'll begin by discussing a couple of questions from this problem-solving task on power functions #1 . (2) We'll briefly check in on power function graphs. Do folks have any questions about any of our power graphs? (3) We'll begin to describe functions fully. We'll describe the properties of functions [ONLY DOMAIN AND RANGE WERE COVERED TODAY!] (here is a summary of function properties) together. This link will take you to my page of resources on many function properties. (4) We'll be graded on simplification and graphing...again. (5) HW: Describe the domain and range of each of the big six power functions using phrases AND interval notation.
We'll work on a Desmos activity (link for S1) (link for S2) on "transformations".
9/14/23 - (1) We'll begin by graphing a couple of different-looking power functions. (2) We'll chat in groups about Function Graphing 20 (3) Groups will then battle through "Follow Up..." (4) We will tackle a quick, paper graded task on simplification with exponents. Power Function Task #1 (graded task) (5) HW: Work on this problem-solving task on power functions #1 .
9/13/23 - (1) We'll begin by graphing a couple of different-looking power functions. (2) We'll chat in groups about Function Graphing 20 (3) Groups will then battle through "Follow Up..." (4) Power Function Task #1 (graded task) (5) HW: Work on this problem-solving task on power functions #1 .
9/12/23 - (1) We'll begin with a couple of simplification problems that aren't just numerical. (2) We'll check in to see which "big 6" power function graphs we remember. (3) We'll address any questions from the Desmos HW due today. (4) We'll have folks share solutions to some of the problems from "Crazy Exponents" (and will walk through a few of them) Here are some select solutions. Here are some solutions as well. (5) We will tackle a quick, paper graded task on simplification with exponents. (6) HW is to complete Power Function Graphing 20.
9/11/23 - (1) We'll begin with a couple of simplification problems that aren't just numerical. (2) We'll check in to see which "big 6" power function graphs we remember. (3) We'll address any questions from the Desmos HW due today. (4) We'll have folks share solutions to some of the problems from "Crazy Exponents" (and will walk through a few of them) Here are some select solutions. Here are some solutions as well. (5) We will tackle a quick, paper graded task on simplification with exponents. (6) HW is to complete Power Function Graphing 20.
9/8/23 - (1) We'll begin with a couple of review problems with exponents. (2) We'll upload HW. (3) We will run through the "big 6" power function graphs. (4) We'll graph two power functions that are not part of the "big 6" in pairs. (4) We'll start work on "Crazy Exponents". (5) HW: Complete this Desmos activity (link for S3).
9/7/23 - (1) We'll begin with a couple of review problems with exponents. (2) We'll upload HW. (3) We will run through the "big 6" power function graphs. (4) We'll graph two power functions that are not part of the "big 6" in pairs. (4) We'll work further on "Crazy Exponents". (5) We'll complete this Google Form. (6) HW: Complete this Desmos activity (link for R3).
9/6/23 - (0) We'll begin with a couple of board problems on evaluating with exponents. (1) Pairs will be asked to create a table and graph for particular power functions. (2) Groups will check in on the HW from p.148. (3) Expert groups will share tables and graphs for other power functions. (4) We'll clean up "dividing by zero" and the difference between (-2)^2 and -2^2. (5) We'll sum up the "big 6" power function graphs. (5) We'll graph a couple of other power functions with rational exponents. (6) We should expect some sort of graded task on simplifying with exponents (and maybe a touch of graphing) next class....and might have a very brief one today. (7) We will start (but not finish) this task: "Crazy Exponents" for HW. (8) HW: Complete this task on graphing with power functions (solutions here).
9/5/23 - (0) We'll begin with a couple of board problems on evaluating with exponents. (1) Pairs will be asked to create a table and graph for particular power functions. (2) Groups will check in on the HW from p.148. (3) Expert groups will share tables and graphs for other power functions. (4) We'll clean up "dividing by zero" and the difference between (-2)^2 and -2^2. (5) We'll sum up the "big 6" power function graphs. (5) We'll graph a couple of other power functions with rational exponents. (6) We should expect some sort of graded task on simplifying with exponents (and maybe a touch of graphing) next class....and might have a very brief one today. (7) We will start (but not finish) this task: "Crazy Exponents" for HW. (8) HW: Complete this task on graphing with power functions (solutions here).
9/1/23 - (0) We'll join Classroom, check out this Google site, and discuss graphing calculators...and deal with phones. (1) We'll start with board problems getting at negative and even rational exponents. (2) We'll cement our knowledge of simplifying with various exponents, including negative exponents/exponents of zero/rational exponents(though we only got a chance to look at one sample rational exponent that didn't have a numerator of one). (3) We'll group up to finish this problem set . (4) We'll do some whiteboard practice on simplifying. (5) Groups will begin to tackle this task on graphing with power functions (solutions here). (6) We should complete page 148; #’s 5,6,15-21, 24-42, 84-86 from the textbook (page 1 & page 2) for HW.
8/31/23 - (0) We'll join Classroom, check out this Google site, and discuss graphing calculators...and deal with phones. (1) We'll start with board problems getting at negative and even rational exponents. (2) We'll cement our knowledge of simplifying with various exponents, including negative exponents/exponents of zero/rational exponents(though we only got a chance to look at one sample rational exponent that didn't have a numerator of one). (3) We'll group up to finish this problem set . (4) We'll do some whiteboard practice on simplifying. (5) Groups will begin to tackle this task on graphing with power functions (solutions here). (6) We should complete page 148; #’s 5,6,15-21, 24-42, 84-86 from the textbook (page 1 & page 2) for HW.
graded task on simplification with exponents. these six problems (solutions here)
8/30/23 - (1) We chatted about open & closed questions and did a little activity related to those types of questions. (2) We then worked in groups on patterns that resulted in being able to evaluate expressions with negative exponents and exponents of zero. (3) No HW (lucky, you).
8/29/23 - (1) We chatted about open & closed questions and did a little activity related to those types of questions. (2) We then worked in groups on patterns that resulted in being able to evaluate expressions with negative exponents and exponents of zero. (3) HW is to work on this problem set up to problem G.