AP Calculus
2022-2023
"There are no secrets to success.
It is the result of preparation, hard work, and learning from failure."
Colin Powell
AP Test Review Sites:
Review Quiz (not the easiest format)
AP Test Practice Questions (self-assessment)
FRQ Answers to released questions (Mr. Calculus site)
AP Calculus Practice Questions
Kahn Academy (now has an AP Calculus AB option)
Class Summaries
AP Calculus classes are RED BLOCK (Monday/Thursday) for 90 minutes - BLUE are Wednesday short class days
| Date | Description | Assignment- Must be done before next class - Videos will be found on AP Classroom |
| Aug 22nd-23rd |
Back-to-School Days We will discuss syllabus, AP test, flipped classroom, needed supplies... |
|
| Wed, Aug 24th |
First Day of Classes Introductory Materials - syllabus/schedule - sign up for College Board and AP Classroom - start watching videos for Thursday (tomorrow) |
1.1 - 2
videos ~16 min 1.2 - 2 videos ~17 min |
| Thur, Aug 25th |
Start Unit 1: Limits and Continuity (longest unit) 1.1 Introducing Calculus: Can Change Occur at an Instant? - Flipped Math Workbook, AP Classroom Quiz 1.2 Defining Limits and Using Limit Notation - Flipped Math Workbook, AP Classroom Quiz On a block day, we will generally split the class into two parts. Today, discuss anything from 1.1 videos, work on 1.1 flipped math problems, and take 1.1 AP Classroom Quiz during the first half (until about 10:27). Second half, repeat the process with 1.2. ** AP Classroom Quizzes will be assigned starting at 8 am the day we cover the section in class. Due by 4 pm the next class day. |
Videos assigned here need to be
watched before class meets next. 1.3 - 3 videos ~33 min 1.4 - 1 video ~11 min |
| Mon, Aug 29th |
Remember 1.1 and 1.2 AP
Classroom Quizzes are due today by 4 pm. I will not be reminding
you. :-) Card Review - one per group - work on whiteboard 1.3 Estimating Limit Values from Graphs 1.4 Estimating Limit Values from Tables |
1.5 - 1
video ~ 14 min |
| Wed, Aug 31st |
1.5 Determining
Limits Using Algebraic Properties of Limits |
1.6 - 2
videos ~18 min |
| Thur, Sept 1 |
1.6 Determining
Limits Using Algebraic Manipulation |
1.7 - 3 videos ~29 min |
| Mon, Sept 5th | NO SCHOOL - LABOR DAY | |
| Wed, Sept 7th |
RED BLOCK WEDNESDAY (Make-up for missing Monday) Look at 1.5 AP Classroom Quiz questions involving limits of composition of functions. Then, Warm-Up: Advanced Limits (together) and Worksheet: Advanced Limits (assignment) - due tomorrow. Activity: Circuit - Determining Limits Using Algebraic Manipulation - due Monday |
Make sure you've watched the 1.7 videos before tomorrow |
| Thur, Sept 8th |
1.7 Selecting Procedures for Determining Limits There are two ways to solve #14 - Can you figure out both? Activity: Selecting Procedures for Calculating Limits Due Wed Sept 14th |
1.9 - 1 video ~13 min |
| Mon, Sept 12th |
Circuit from last Wednesday due
today. If needed, discuss how to solve the 12 problems off of the activity from Thursday (will not solve for you - just giving ideas) 1.8 Determining Limits Using the Squeeze Theorem 1.9 Connecting Multiple Representations of Limits |
1.10 - 1 video ~10 min |
| Wed, Sept 14th |
1.10 Exploring Types of Discontinuities |
|
| Thur, Sept 15th |
1.11 Defining
Continuity at a Point 1.12 Confirming Continuity over an Interval |
1.13 - 2
videos ~17 min 1.14 - 3 videos ~20 min |
| Mon, Sept 19th |
1.13 Removing
Discontinuities 1.14 Connecting Infinite Limits and Vertical Asymptotes |
1.15 - 3
videos ~23 min |
| Wed, Sept 21st |
1.15 Connecting Limits at Infinity and Horizontal Asymptotes |
1.16 - 2
videos ~18 min |
| Thur, Sept 22nd |
Activity:
Approximating Limit Values from Graphs 1.16 Working with the Intermediate Value Theorem (IVT) |
|
| Mon, Sept 26th |
Activity:
Establishing Continuity for EVT and IVT Work on Personal Progress Check – ~45 MCQ (Multiple Choice Questions) |
MCQs will be assigned on AP Classroom early in the Unit (Sept
8th) - work on when
you have time Due by end of the day Sun, Oct 2nd |
| Wed, Sept 28th |
3 FRQ Today FRQ Part A |
|
| Thurs, Sept 29th |
Today FRQ Part B (should be quick?) Rest of period watch videos/make sure that MCQs are finished/?? |
2.1 - 3 videos ~28 min 2.2 - 3 videos ~28 min |
| Mon, Oct 3rd |
Start Unit 2: Differentiation: Definition and Basic Derivative Rules 2.1 Defining Average and Instantaneous Rates of Change at a Point 2.2 Defining the Derivative of a Function and Using Derivative Notation - Flipped Math Workbook - AP Classroom Quiz |
|
| Wed, Oct 5th | Circuit Training Activity: PreCalculus/Trig Review - Calculator Active |
2.3 - 3 videos ~26 min 2.4 - 3 videos ~25 min |
| Thur, Oct 6th - Fri, Oct 7th | No School - Staff Development | |
| Mon, Oct 10th | No School | |
| Wed, Oct 12th |
2.3 Estimating Derivatives of a Function
at a Point 2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist |
2.5 - 3 videos ~26 min 2.6 3 videos ~23 min |
| Thur, Oct 13th |
2.5 Applying the Power Rule - Flipped Math Workbook - AP Classroom Quiz 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple |
2.7 - 3 video ~29 min |
| Mon, Oct 17th |
Look at Unit 1 FRQ Scoring Warm-up: problem 107 (in group of 2-3). Write answers on the board (except the graph). Make your calculator work for you. 2.7 Derivatives of cos x, sin x, ex, and ln x (and ax and logb x) - Flipped Math Workbook - AP Classroom Quiz |
2.8 - 1 video ~11 min |
| Wed, Oct 19th |
2.8 The Product Rule |
2.9 - 2 video ~18 min |
| Thur, Oct 20th |
2.9 The Quotient Rule - Flipped Math Workbook - AP Classroom Quiz Activity: Categorizing Functions for Derivative Rules |
2.10 - 2 video ~20 min |
| Mon, Oct 24th |
2.10 Finding the
Derivatives of Tangent, Cotangent, Secant, and/or Cosecant
Functions If time at the end of the period, keep working on MCQs (due by end of day on Sun, Oct 30th - do it earlier!) |
|
| Wed, Oct 26th |
Personal
Progress Check – ~30 MCQ (Multiple Choice Questions); 3 FRQ 1 FRQ today - Part A (calculator required) |
MCQs done on
own time (Due Oct 30th - NO EXTENSIONS) FRQs done in class. |
| Thur, Oct 27th |
Tomorrow, October 28th, is the end of the First Quarter! |
3.1 - 3 Videos- ~29 mins |
| Mon, Oct 31st |
Go over FRQs 3.1 The Chain Rule - Flipped Math Workbook - AP Classroom Quiz |
|
| Wed, Nov 2nd | No Class - Black Wednesday | |
| Thur, Nov 3rd | Chain Rule Circuit |
3.2 - 3 Videos - ~ 37 Minutes |
| Fri, Nov 4th | No School - PT Conferences | |
| Mon, Nov 7th |
For those of you wanting to practice
FRQ's - Unit 3 Practice FRQ's have been assigned. Will not be
graded. Might be very helpful. 3.2 Implicit Differentiation - Flipped Math Workbook - AP Classroom Quiz Implicit Differentiation Circuit |
3.3 - 3 Videos - ~25 mins |
| Wed, Nov 9th | 3.3 Differentiating Inverse Functions - Flipped Math Workbook - AP Classroom Quiz | 3.4 - 3 Videos - ~26 mins |
| Thur, Nov 10th |
3.4 Differentiating Inverse Trigonometric Functions - Flipped
Math Workbook - AP Classroom Quiz Skill Builder - The Murder of Peppa Pig Mystery |
3.5 - 2 Videos - ~17 min 3.6 - 2 videos - ~ 19 min |
| Mon, Nov 14th |
3.5 Selecting Procedures for Calculating Derivatives- Flipped
Math Workbook - AP Classroom Quiz 3.6 Calculating Higher Order Derivatives- Flipped Math Workbook - AP Classroom Quiz |
Continue working on 18 MCQ (Multiple Choice Questions) - due Nov 20th |
| Wed, Nov 16th |
Work Day - Catch up on everything from Unit 3 |
|
| Thur, Nov 17th |
Personal Progress Check – 3 FRQ 2 FRQ (No Calculator Allowed) |
4.1 - 1 video - ~6 min 4.2 - 2 videos - ~14 minutes |
| Mon, Nov 21st |
Start Unit 4 4.1 Interpreting the Meaning of the Derivative in Context-Flipped Math Workbook-AP Classroom Quiz 4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration-Flipped Math Workbook-AP Classroom Quiz |
4.3 - 2 videos - ~14 min |
| Wed, Nov 23- Fri, Nov 25th | NO SCHOOL - Thanksgiving Break | |
| Mon, Nov 28th |
Activity: 4.2 Big 10 - Straight-Line Motion: Connecting Position,
Velocity and Acceleration (if absent, find on Canvas) 4.3 Rates of Change in Applied Contexts Other Than Motion - Flipped Math Workbook - No AP Classroom Quiz |
4.4 - 1 Video - ~8 min 4.5 - 3 Videos - ~27 min Watch videos before Thursday |
| Wed, Nov 30th |
Zubke Absent: Activity: 4.3 Rates of Change in Applied Contexts Other Than Motion (if absent, find on Canvas) |
|
| Thur, Dec 1st |
4.4 Introduction to Related Rates - Flipped Math Workbook - AP
Classroom Quiz 4.5 Solving Related Rates Problems - Flipped Math Workbook - AP Classroom Quiz |
4.6 - 2 Video - ~12 min 4.7 - 2 Video - ~17 min |
| Mon, Dec 5th |
4.6 Approximating of a Function Using Local Linearity and Linearization
- Flipped Math Workbook - AP Classroom Quiz 4.7 Using L'Hospital's Rule for Determing Limits of Indeterminate Forms - Flipped Math Workbook - AP Classroom Quiz |
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| Wed, Dec 7th | Zubke Absent: Work on MCQ's - Assigned Nov 21st Due by Friday Dec 16th | |
| Thur, Dec 8th |
Zubke Absent: Work on FRQ Practice Unit 4 Practice Levels 1, 2, and 3 - Assigned Nov 21st (not graded but extra FRQ practice can be very helpful - ALL Students can use extra practice) |
|
| Mon, Dec 12th |
18 MCQ (Multiple Choice Questions); 3 FRQ 2 FRQ - No Calculator |
MCQ's due by Friday Dec 16th |
| Wed, Dec 14th |
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| Thur, Dec 15th | Introduction to Mean Value Theorem SNOW DAY! | |
| Mon, Dec 19th - Tues, Jan 3rd | No School - Winter Break | |
| Wed, Jan 4th | SNOW DAY! | |
| Thur, Jan 5th |
MAKE SURE EVERYTHING UNIT 4 IS DONE! STARTING UNIT 5 ON MONDAY!!! |
5.1 - 3 Videos - ~21 min 5.2 - 2 Videos - ~17 min |
| Mon, Jan 9th |
5.1 Using the Mean Value Theorem Activity: Establishing Differentiablility for MVT |
5.3 (2-~19 min) |
|
5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical
Points Activity: Skill Builder: Topic 5.2 |
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| Wed, Jan 11th |
Warm-Up: What's the Value of Apple Stock? 5.3 Determining Intervals on Which a Function Is Increasing or Decreasing |
5.4 (2 - ~12 min) |
| Thur, Jan 12th |
5.4
Using the First Derivative Test to Determine Relative (Local) Extrema Activity: Skill Builder: 5.3-5.4 |
5.5 - 2 videos ~15 min 5.6 - 2 videos ~15 min |
| END OF QUARTER TWO/SEMESTER ONE | ||
| Mon, Jan 16th | No School - Martin Luther King Jr. Day | |
| Wed, Jan 18th |
Red Block Wednesday 5.5 Using the Candidates Test to Determine Absolute (Global) Extrema 5.6 Determining Concavity of Functions over Their Domains |
5.7 - 1 Video ~9 min |
| Thur, Jan 19th |
5.7
Using the Second Derivative Test to Determine Extrema Activity: Find the Error: Justifications Using the First Derivative Test, Test for Concavity and the Second Derivative Test |
5.8 - 1 video ~7 min 5.9 - 2 videos ~13 min |
| Mon, Jan 23rd |
5.8
Sketching Graphs of Functions and Their Derivatives 5.9 Connecting a Function, Its First Derivative, and Its Second Derivative |
|
| Wed, Jan 25th |
Activity:
Connecting features of f, f’, and f’’ (Topics
5.8-5.9) - whole class activity - summary sheet (turn in) |
5.10 - 2 videos ~16 min 5.11- 1 video ~7 min |
| Thur, Jan 26th |
5.10
Introduction to Optimization Problems 5.11 Solving Optimization Problems |
5.12 - 3 videos ~25 min |
| Mon, Jan 30th |
Warm-up FRQ 5.12 Exploring Behaviors of Implicit Relations 36 MCQ A, B, and C (12 each) |
MCQ's (assigned Jan 15th) due by end of Wed, Feb 1st |
| Wed, Feb 1st |
|
6.1 - 2 videos ~18 min |
| Thur, Feb 2nd |
Warm-up:
https://youtu.be/WUvTyaaNkzM
Start Unit 6: Integration and Accumulation of Change 6.1 Exploring Accumulations of Change |
6.2 - 3 videos ~30 mins |
| Mon, Feb 6th |
Warm-up - How much Snow? 6.2 Approximating Areas with Riemann Sums Activity: Approximating a Definite Integral Using Left and Right Rectangles Activity: Interpreting Definite Integral Notation as the Limit of a Riemann Sum |
6.3 - 2 videos ~18 min |
| Wed, Feb 8th |
6.3 Riemann Sums, Summation Notation, and Definite Integral
Notation Activity: Interpreting Summation Notation |
6.4 - 2 videos ~22 min |
| Thur, Feb 9th | Work Day (We are all exhausted) | |
| Mon, Feb 13th |
Three activities from last week are due today - Warm-Up 6.3 FRQ - 6.4 The Fundamental Theorem of Calculus and Accumulation Functions |
6.5 - 2 videos ~17 min |
| Wed, Feb 15th |
NO SCHOOL - SNOW DAY - Warm-up - Under Cover Activity - 6.5 Interpreting the Behavior of Accumulation Functions Involving Area |
|
| Thur, Feb 16th |
6.5 Interpreting the Behavior of Accumulation Functions Involving Area TAKE HOME OVER LONG WEEKEND: 6.4/6.5 Skill Builder Under Cover Activity |
6.6 - 2 videos ~18 min 6.7 - 3 videos ~29 min |
| Mon, Feb 20th | NO SCHOOL | |
| Wed, Feb 22nd - Thur, Feb 23rd |
RED WEDNESDAY 6.6 Applying Properties of Definite Integrals- 6.7 The Fundamental Theorem of Calculus and Definite Integrals SNOW DAYs |
6.8 - 2 videos ~16 min |
| Fri, Feb 24th |
Turn in 6.4/6.5 Skill Builder and Under Cover Activities 6.6 Applying Properties of Definite Integrals- 6.7 The Fundamental Theorem of Calculus and Definite Integrals |
6.8 - 2 videos ~16 min |
| Mon, Feb 27th |
FRQ 6.6 Warm-up (15 minute timer) 6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation (NO Quiz) Activity: Antidifferentiation Circuit |
6.9 - 3 videos ~24 mins |
| Wed, Mar 1 and Thur, Mar 2nd |
6.9 Integration Using Substitution U-Substitution Practice: Circuit(s) - one circuit is with indefinite integrals the other is with definite integrals |
6.10 - 2 videos ~16 min 6.14 - 3 videos ~30 min |
| Mon, Mar 6th |
6.14 Selecting Techniques of Antidifferentiatio Personal Progress Check – 27 MCQ (Multiple Choice Questions); 3 FRQ Take-home - due Wednesday |
MCQ's due by end of Wednesday. (12:00 am Mar 9th) - assigned Feb 13th 7.1 - 1 video ~7 mins and 7.2 - 1 video ~ 5 mins |
| Wed, Mar 8th |
7.1 Modeling Situations with Differential Equations 7.2 Verifying Solutions for Differential Equations |
7.3 - 2 videos ~22 min 7.4 - 1 video ~7 min |
| Thur, Mar 9th |
7.3 Sketching Slope Fields 7.4 Reasoning with Slope Fields |
7.6 - 2 videos ~15 min 7.7 - 3 videos ~16 min |
| Mon, Mar 13th |
7.6 Finding General Solutions Using Separation of
Variables 7.7 Finding Particular Solutions Using Initial Conditions and Separation of Variables |
|
| Skipping this year |
1st: Derivative Blitz -
Separation of Variables Activity(s): -Round Table - has to be in groups of four -Circuit - only 8 problems |
7.8 - 1 video ~5 mins |
| Thur, Mar 16th |
7.8 Exponential Models with Differential Equations 18 MCQ (Multiple Choice Questions); 3 FRQ |
MCQ due by end of day (11:59 pm) Mar 21st
- assigned Mar 10th |
| Fri, Mar 17th | NO SCHOOL | |
| Mon, Mar 20th |
4 Review Problems Make sure everything from Unit 7 is finished |
8.1 - 2 videos - 9 mins |
| Wed, Mar 22nd |
Unit 7 FRQ's DUE 3 Review Problems 8.1 Finding the Average Value of a Function on an Interval |
8.2 - 2 videos ~12 min 8.3 - 3 videos ~26 min |
| Thur, Mar 23rd |
8.2 Connecting Position, Velocity, and Acceleration of Functions Using
Integrals (NO QUIZ) 8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts |
8.4 -2 videos ~12 min 8.5 - 1 video ~8 min |
| Mon, Mar 27th |
Geogebra Visual Calculus - Volumes and Areas Tool: https://www.geogebra.org/m/akT7FHq7 THIS IS SO COOL! 8.4 Finding the Area Between Curves Expressed as Functions of x 8.5 Finding the Area Between Curves Expressed as Functions of y |
8.6 - 1 video - 7 min |
| Wed, Mar 29th | 8.6 Finding the Area Between Curves That Intersect at More Than Two Points |
8.7 - 3 videos - 30 min 8.8 - 2 videos - 20 min |
| Thur, Mar 30th |
Volumes - Cross Sections 8.7 Volumes with Cross Sections: Squares and Rectangles Rectangle visualization: https://www.youtube.com/watch?v=3yIW9FqKXKU 8.8 Volumes with Cross Sections: Triangles and Semicircles Semicircle visualization: https://www.youtube.com/watch?v=omQSp2uMYTk |
8.9 - 2 videos ~15 min 8.10 - 1 video ~9 min |
| Mon, Apr 3rd |
Volumes - Disc Method 8.9 Volume with Disc Method: Revolving Around the x- or y-Axis 8.10 Volume with Disc Method: Revolving Around Other Axes Geogebra Visualization of Disk Method: https://www.geogebra.org/m/ajvhqdch |
8.11 - 2 videos ~20 min 8.12 - 1 video ~10 min |
| Wed, Apr 5th | 2, 4, 6 Wednesday - Make-up for last week's Friday SNOW DAY. WORK ON MCQ's over break. See you on Wednesday, April 12th. | |
| Thur, Apr 6th - Mon, Apr 10th | NO SCHOOL | |
| Wed, Apr 12th |
Volumes - Washer Method 8.11 Volume with Washer Method: Revolving Around the x- or y-axis 8.12 Volume with Washer Method: Revolving Around Other Axes Geogebra Washer Method: https://www.geogebra.org/m/fy3c4pyf |
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| Thur, Apr 13th |
AM Smarter Balanced Testing - JRs (8 students) Jr Testing (all day today) just a.m. tomorrow. Take home FRQ Test. MCQ due by Midnight Apr 17th |
MCQ's were assigned on April 2nd. |
| Mon, Apr 17th |
Start AP Test Review Video Day (Note Guide Packet for this): 1) Know Thy Exam (~5 min) 2) Verbs on the AP Exam (~4 min) 3) Things You Need to Know Cold (~4 min) 4) Commonly seen FRQs on the AP Exam (~6 min) 5) Top 10 AP Exam Tips (~3 min) I Have...Who Has? Derivative/Antiderivative practice with table. Flash Cards (I have four sets cut out) |
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| Wed, Apr 19th |
Justification on the AP Exam Ultimate Justification Guide: fill out individually, then pairs, then small groups |
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| Thur, Apr 20th |
Full Block Part One: Video One (MCQ - No Calculator) and Related Practice Part Two: Video Two (FRQ - Rates and Accumulation Stem- Calculator Active) and Related Practice |
Assignment: 2019 MCQ on AP Classroom. Do over the weekend. Work on speed! 2 minutes for No Calc problem. 3 minutes Calc problem. Total time 90 minutes. |
| Mon, Apr 24th |
Full Block Part One: Video Three (FRQ - Graphical Stem - No Calculator) and Related Practice (15 mins try on own; then video; practice at home) Part Two: Video Four (FRQ - Differential Equations - No Calculator) and Related Practice (15 mins try on own; then video; practice at home) |
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| Wed, Apr 26th |
DESMOS Card Sort - Focus on Three Existence Theorems - IVT, EVT (leads to Candidates Test) , MVT Website: student.desmos.com Code: PA8WEK |
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| Thur, Apr 27th |
Full Block Part One: Video Five (MCQ - Calculator - 12 mins on own first) and Related Practice - assigned AP Classroom Part Two: Video Six (FRQ - Particle Motion - Calculator Active) and Related Practice (15 mins try on own, then video, practice at home) |
Assignment: 2018 MCQ on AP Classroom. Do over the weekend. Work on speed! 2 minutes for No Calc problem. 3 minutes Calc problem. Total time 90 minutes. |
| Mon, May 1st |
Full Block Part One: Video Seven (FRQ - Area/Volume - No Calculator) and Related Practice (15 mins try on own, then video, practice at home) Part Two: Video Eight (FRQ - Function Mashup - No Calculator) and Related Practice (15 mins try on own, then video, practice at home) |
|
| Wed, May 3rd | The Last Circuit | |
| Thur, May 4th | The last FRQ topics: Tables and Implicit Differentiation | |
| Mon, May 8th | AP Test - No Class | |
| Wed, May 10th | Hidden Figures | |
| Thurs, May 11th | Hidden Figures | |
| Mon, May 15th | Euler's Method | |
| After AP Test |
Will be going over some topics not covered in AP Calculus AB: Euler's
Method, Work, Arc Length, Shell Method Volume and/or Watching movies based on mathematical figures: Hidden Figures, October Sky, etc. |
|
| Wed, May 24th |
SEM TEST DAY 1:
PERIOD 2: 10:00 – 11:08 LUNCH: 12:31 – 1:11 PERIOD 6: 1:16 – 2:25 |
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| Thur, May 25th |
SEM TEST DAY 2: PERIOD 3: 9:35 – 10:45
PERIOD 5A: 10:55 – 12:05 LUNCH: 12:05 -
PERIOD 5B: 11:35 – 12:45 LUNCH: 10:50 – 11:30
PERIOD 7: 12:55 – 2:05 MAKE UP SESSION 1: 2:15 – 3:25 |
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| Fri, May 26th |
SEM TEST DAY: MAKE UP SESSION 3: 9:35 – 10:45 MAKE UP SESSION 4: 10:55 – 12:00
LUNCH: Grab and Go Available |
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