Integrated III (Core Connections) 2018-19

Welcome to Integrated Math III!


Anyone who scores a 70% or higher on a unit test may recover half credit on what was deducted on the test if and only if you demonstrate that you have made a substantial attempt at every homework assigned for the unit. This generally means 70% completion prior to scheduling credit recovery.

Once the above condition is met, you must come in and personally go through every missed problem with Davies to receive half credit back. This means, for example, if you scored an 80% on the test, you can recover 10% which is half of the 20% that you missed.

Those who score below a 70% must retake a shorter, modified version of the unit test and pass it with a 70%. Once this is done, you may come in and recover credit for a maximum of 85%.

Integrated III Syllabus (Davies) v2

Integrated Math III_Scope_and_Sequence 2018-19

The gradebook has been split. Please be patient while I retype all the grades and update. Tests were passed back in class, but the scores will not be in IC until Thursday 9/20

Monday/Tuesday 09.24-25.18

Topic: Introduction to complex numbers.


  1. Warm-up: Describing transformations and key features (notes p.1)
  2. Finish teamwork that we began last class (see notes)
  3. Quiz skill list. Our first open note quiz for this unit is this coming Wednesday/Thursday
  4. Introductory notes on imaginary numbers.
  5. See previous entry for Homework #4 due Friday.
  6. A solution packet has been posted for homework #3 (See the original assignment entry).

Notes: 09.24.18 INT 3 period 3

Friday 09.21.18

Topic: The algebra of quadratics continued (finding the axis of symmetry without completing the square)


  1. Please read the above credit recovery policy or see page one of today’s notes.
  2. Quick notes on finding the vertex when there are no x intercepts without completing the square so the vertex is (-b/(2a), f(-b/(2a))) where a, b and c are the quadratic, linear and constant coefficients in a quadratic function in standard form. (see notes)
  3. Begin teamwork which will be completed and collected next class (see last page of notes)
  4. First open note quiz for unit 2 will be next Wednesday/Thursday. Skill list will be given out Monday/Tuesday.

Notes: 09.21.18 INT3 period 2 (all class notes were virtually identical)


Homework #4 due next Friday at 3PM: Both levels: In chapter 2 under Review/Preview #35, 40, 41, 42, 49, 50, 67-69; Honors Only: In chapter 2 under review preview #44, 56, 57, 60, 63;Standard Only: In chapter 2 under Review/Preview #33, 43, 45, 46


Wednesday/Thursday 09.19-20.18

Topic: The algebra of quadratics. 09.19-20.18 INT3 Guided Notes for the next class 8/19 & 20.


  1. Homework questions taken (#30 and #23 are in period 2 notes)
  2. Notes on binomial squaring and perfect square trinomial factoring. Students should make a point to practice these skills until they are fluent and memorize the perfect squares from 1^2 = 1 up to 25^2 = 625.
  3. Notes on when to solve quadratic equations using square roots.
  4. Notes on graphing quadratics from equations by finding x intercepts and averaging them in order to find the axis of symmetry. We can then find the vertex without completing the square.

Notes: 09.20.18 INT3 period 2 ;09.19.18 INT3 period 3

Monday/Tuesday 09.17-18.18

Topic: Graphing transformations


  1. We continued with Chapter 2.1 #2-1 through 2-5. One write up per person was collected at the end of class. This will be scored as a process grade. Students who were not able to complete at least 2-3 will be asked to complete these problems on their own time in order to received full credit.
  2. Reminders were given about graphing expectations. Even sketches are expected to be on graph paper, have proper scaling and enough detail to accurately depict the transformed parent.
  3. See notes for #4 as it was done in class.
  4. See Friday’s entry for the homework which is due this coming Friday. Questions were taken in class today.

Notes: 09.18.18 period 2

Friday 09.14.18

Topic: Introduction to Transformations via Parabolas


  1. Quick review notes on quadratics (see page 1 of posted notes below)
  2. Begin chapter 2: Each person was to read the OPENING page for chapter 2 and begin working on 2.1.1 problem #1 “Transforming Parabolas”. Make sure you answer every question and make use of the interactive DESMOS link provided at the beginning of the activity. This will be completed and added to next class and then collected. It is NOT homework.

Notes: 09.14.18 period 2 (all other classes were the same)


Homework #3 Due next Friday 9/21:   Honors: Chapter 2 under Review/Preview #6, 7, 11, 18, 21, 22, 23, 30, 31, 33, 37  Standard: Chapter 2 under Review/Preview #6, 7, 10, 21, 23, 24, 30, 31, 36, 37

Honors HW3 Solutions; Standard HW3 Solutions  (NOTE: There is an error on #11, the answer should be x = -4)


Wednesday/Thursday 09.12-13.18

District Unit Test 1 (Students will declare their decision to be honors or non at the top of this test)

Monday/Tuesday 09.10-11.18

Topic: Unit 1 Closure and Test Review   

Guided notes (study guide for in class) 09.10-11.18 INT3 revised


  1. Feedback on Homework #2
  2. Test Skill Study Guide: We will work through study problems for (1) function notation, (2) finding x and y intercepts from a function equation, (3) describing the graph of f(x-h) when the parent is known including domain, range, increasing/decreasing behavior, maximum, minimum, endpoints, shape, intercepts, asymptotes, (4) solving quadratics, (5) using a linear system to solve problems.
  3. Students should also work #110-118 under the Closure section of chapter 1 in the textbook. There is a full answer key in the book for these problems and they are a VERY good study guide.
  4. Also study the quiz and homeworks 1 & 2. I will use parts of the quiz as in class study.

Solutions to Homework #2:  Homework #2 Solutions

Notes: 09.10-11.18 INT3 period 2 (all other classes were virtually identical to these)

Thursday/Friday 09.06-07.18

Topic: Closure under an operation and Polynomial Functions

Guided notes: 09.06-07.18 guided notes


  1. New Seats and Quiz return. Until the gradebook is split next week, everyone’s score shows up as out of 25 points. If you switch to standard level, that score will be reweighted out of 20.
  2. Honors #54 & #55: Closure under an operation
  3. Polynomials: definition and how to identify them

Homework #2 is due tomorrow (Friday) by 3PM for scoring.

Notes: 09.06-07.18 period 2 09.06.18 period 3 09.06-07.18 period 4 09.06-07.18 period 6


There will be no assignment for this coming week since we will be taking our unit test on Wednesday/Thursday of next week. This will be closed note and students will declare on that test whether they wish to be in Honors or Standard Level.


Tuesday/Wednesday 09.04-05.18

Topic: Functions


  1. The homework #1 is scored and in the gradebook. A FULL explanation of scoring will be given in class. Please take careful notes about this. Anyone who did not complete 70% of the problems was given and X for exempt. The remaining students will see one column in the gradebook with your actual score that you would have gotten had this not been a completion credit AND a balance column with points entered that make the two columns 10/10 for all non exempt people. Below is a copy of an exemplary paper and a full solution key. Students should check all answers and come in for help if needed.
  2. We will finish teamwork 1.4 and a write-up for #50-53 will be collected. 1 write up per group. Full graphs of the original two functions and the resulting combined function(s) for each of #50-52 are expected. One graph per problem is fine. More details given in class notes.
  3. New seats (we will change about once every two weeks.
  5. Homework #2 is due this coming Thursday/Friday (see Friday 08.30 entry).

exemplary homework #1 ; Homework #1 Solutions

Friday 08.30.18

This will be a work day due to picture day pull outs. Here is a guided set of notes for your convenience with a study guide for next Tuesday/Wednesday’s open note quiz.  08.31.18 guided notes

Notes: 08.31.18 period 2 (no other classes requested any problems so only period 2 notes are posted)


Homework #2 due next Thursday/Friday:

Honors only: Work through #54 and #55 in 1.1.4 and be prepared to explain what is meant by “closed set” and “closure” in general. Also work section 1.2.1 #67 & 68.

Both Levels: All problems come from the Review/Preview sections: section 1.1.4  #56, 57, 60, 61, 62  section 1.2.1  #66, 69, 72  section 1.2.2  #91, 92, 95


Wednesday/Thursday 08.29-30.18

Topic: Describing functions.  08.29.18 guided notes


  • Team/classwork from last time will be passed back with remarks. I chose some papers for discussion which can be seen in the notes below. If what was turned in seemed insufficient for me to evaluate, it was scored as incomplete and will need to be improved and turned back in.
  • Closure on 1.3: When describing graphs, be able to address all the vocabulary including domain, range, whether or not the graph is continuous, any asymptotes, increasing/decreasing behavior, endpoints, maximum/minimum points, shape, what the parent might be (if you know), and whether or not it is a function.
  • Homework questions taken for what is due Friday (see 08.21-22.18 entry below).
  • Team work continues on 1.1.4 combining functions. We will complete and close this on Friday. One write-up per team for #49-53 will be collected. See notes for expectations and examples of how to respond to questions.
  • Due to picture day, our first open note quiz is moved to Tuesday/Wednesday of next week. A study list will be given out on Friday.

Notes: 08.29.18 period 3 (guided notes with class real time notes added); 08.30.18 period 208.30.18 period 408.30.18 period 6

Monday/Tuesday 08.27-28.18

Topic: Functions


  • I will be passing back your classwork from last time and making some general remarks. Please take notes on graphing expectations, the definitions of function, domain, range, shape of a graph, asymptote, increasing/decreasing, maximum/minimum, continuous, discrete.
  • Problems 12/13 (see previous entry) will be scored in the assessment (product) in IC as a completion score. Please start checking grades.
  • See the notes linked below for write up expectations going forward. I will begin deducting points from here out if these are not met.
  • Teamwork (4): In the book, section 1.1.3 #29-34 (30 minutes). See notes for expectations. We will be working with the parent function y = 1/x and exploring horizontal translations among other properties.
  • Homework #1 (see 08.22-23 entry) is due FRIDAY. I will take questions on it during this class and next. Please come in for extra help if you need it.
  • Time permitting, we will begin section 1.1.4 and systems of equations (2 variable).
  • Due to picture taking on Friday, our first open note quiz will be next Monday/Tuesday. A study guide will be given on Friday after homework collection.

08.27.18 INT3 (Guided notes posted in advance)

Class notes (completed): 08.27.18 INT3 period 3; 08.27.18 INT3 period 2;08.27.18 INT3 period 4;08.27.18 INT3 period 6

Thursday/Friday 08.23-24.2018

Topic: Functions


  • Quick review of function notation and brief discussion of what constitutes a function.
  • Work #4-6 under Review/Preview in the text 1.1.1
  • Teamwork (1) Function Machines
  • Vocabulary List for the chapter
  • Teamwork (2) #12 & #13 (Stopping point for period 3 see below)
  • Teamwork (3) To be collected. If we are not finished at the end of class, this will spillover into Monday. 1.1.3 #I-29 through I-34. Some teams might complete all of this, some might only complete half. That is OK for now. Work with integrity to complete what is possible in the time given.

08.23-24.18 INT3 (Guided Notes posted in advance)

08.23-24.18 INT3 period 3 (These are class notes from period 3. We did not finish what was planned and will spill over into Monday with Teamwork (3). Teamwork (2) was collected and will be given a completion score in the assessment category of IC. Those who were absent need to please work either #12 or #13 (just one of the equations) and turn it in within 48 school day hours.)

See previous entry for Homework #1 Due 8.31


Topic: Nuts, Bolts & Introductions


  1. Teams are alphabetical for this first rotation.
  2. Survey
  3. E-book enrollment hard copy preference
  4. Syllabus highlights
  5. Introductory concept exploration for unit 1: positive/growth mindset

08.21-22 INT3 (Class notes)

Homework #1 Due 08.31 (Friday): As specified in the syllabus, all homework is optional for a grade. Students are ALWAYS welcome to do the homework and get feedback without penalty or not turn it in for feedback. Students MUST decide PRIOR to collection if the homework will be scored for a grade. This decision will be made each time homework is assigned and collected meaning students may decide to turn in some works and other times not. See the syllabus for more details. This first homework will be used to demonstrate how I score things so please make the choice to complete it and turn it in.

1.1 Review/Preview #7c; 9 & 10; 1.2 Review/Preview #15, 18, 19, 21, 23, 25, 26

1.3 Review/Preview #35-38; 42, 44-48

This homework will be used to demonstrate the difference in mastery requirements for honors and standard levels.