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AP Statistics SUMMER HOMEWORK
***Due Date: Summer assignments must be completed by the first class! I will not accept any late summer assignments, so do not wait until the last minute to work on these. Each student will read and learn at a different pace. Email me if you have questions!
UPDATE: I thought it might be useful for you to see how other students were approaching the summer homework. I am posting TWO student samples below. I have added some notes to each so they can also double as a way to CHECK YOUR ANSWERS or push your thinking. THANK YOU to those who lent me work. It was useful for me to see how things were going.
All work should be completed on a separate piece of paper. USE A RULER TO CREATE STRAIGHT GRAPH AND PLOT AXES LIKE THE ONES PROVIDED. LABEL AND NUMBER EVERYTHING IN YOUR WORK.
The summer assignment is composed of two parts. The document is posted below. Please read all the instructions in the document before beginning. Below you will find SOME of the directions from the document.
PART 1: Reading and Vocabulary: You will use a free online Statistical tutoring site that will give you information on variables and data displays. While reviewing information on the site you will be completing a vocabulary list (on the pages in Part 1).
Follow the steps below:
UPDATE: I thought it might be useful for you to see how other students were approaching the summer homework. I am posting TWO student samples below. I have added some notes to each so they can also double as a way to CHECK YOUR ANSWERS or push your thinking. THANK YOU to those who lent me work. It was useful for me to see how things were going.
All work should be completed on a separate piece of paper. USE A RULER TO CREATE STRAIGHT GRAPH AND PLOT AXES LIKE THE ONES PROVIDED. LABEL AND NUMBER EVERYTHING IN YOUR WORK.
The summer assignment is composed of two parts. The document is posted below. Please read all the instructions in the document before beginning. Below you will find SOME of the directions from the document.
PART 1: Reading and Vocabulary: You will use a free online Statistical tutoring site that will give you information on variables and data displays. While reviewing information on the site you will be completing a vocabulary list (on the pages in Part 1).
Follow the steps below:
- Go to www.stattrek.com
- Click on “Tutorial” at the top of the page (also on left).
- Click on the AP Statistics tutorial in the dropdown.
- A list of BIG TOPICS and general topics will appear on the left hand side of the screen. You will work from the EXPLORING DATA big topic. You have three general topics you will work from in EXPLORING DATA. When you click on the general topic a list of subtopics will appear. You will read or watch the video on the following subtopics to complete the vocabulary list.
PART 2: Practice Problems: Use your learning from stattrek.com and the video links I have posted below to learn the material necessary to complete the questions in the remaining pages of this packet (Part 2). I have updated the list of videos now and have included videos that might be helpful for Part 1 of the summer packet if you are getting stuck!
You may find a scientific calculator HERE.
You may find a scientific calculator HERE.
markwalters_ap_statistics_summer_work_.pdf | |
File Size: | 1103 kb |
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Helpful Videos
Categorical vs. Quantitative Variables
Univariate Data vs. Bivariate Data (start at 1:20)
Population vs. Samples (Parameter and Statistic come up here, too)
Shape, Center, and Spread (Skewness, etc.)
Types of Distributions (Uniform, Bimodal, etc.)
Mean, Median, Mode, Range, and Interquartile Range
Standard Deviation and Z-Score
Variance
Outliers
Dot Plots
Creating Pie Charts
Creating a Stem and Leaf Plot
Creating a Box and Whisker Plot
Creating Parallel Box and Whisker Plots
Creating Relative Frequency Tables (Percentages) from Frequency Tables
Marginal Distribution and Conditional Distribution
Creating Segmented Bar Graphs
Univariate Data vs. Bivariate Data (start at 1:20)
Population vs. Samples (Parameter and Statistic come up here, too)
Shape, Center, and Spread (Skewness, etc.)
Types of Distributions (Uniform, Bimodal, etc.)
Mean, Median, Mode, Range, and Interquartile Range
Standard Deviation and Z-Score
Variance
Outliers
Dot Plots
Creating Pie Charts
Creating a Stem and Leaf Plot
Creating a Box and Whisker Plot
Creating Parallel Box and Whisker Plots
Creating Relative Frequency Tables (Percentages) from Frequency Tables
Marginal Distribution and Conditional Distribution
Creating Segmented Bar Graphs
AP Calculus BC Summer Homework
***Due Date: Summer assignments must be completed by the first class! I will not accept any late summer assignments, so do not wait until the last minute to work on these. Each student will read and learn at a different pace. Email me if you have questions! ALL WORK MUST BE DONE ON A SEPARATE SHEET OF PAPER.
First, identify what you need to accomplish over the summer.
Future BC Calculus Students who HAVE taken AB Calculus, you need to:
Students coming from Pre-Calculus at KSJC (with Ms. Cahill), you need to:
Students taking Pre-Calculus over the summer at a Community College, you need to:
First, identify what you need to accomplish over the summer.
Future BC Calculus Students who HAVE taken AB Calculus, you need to:
- Complete the shorter AB packet below and check your answers. ONE TOPIC (PARAMETRIC EQUATIONS) IS SOMETHING NEW. You will need to have done step 2 (below) to complete that part of the packet. Answers are posted below when you are ready to check your work. Become a better student: don't just copy the answers. Complete the problems, check your work, and then correct your work IN A DIFFERENT COLOR.
- Watch the following videos below and take NEAT, CAREFUL NOTES. THESE ARE LONG VIDEOS, but the topics are important foundational topics for some of our AP Calculus BC work.
- Parametric Equations Introduction
- Polar Coordinates: Basic Introduction
- Graphing Polar Curves (here is a document with a lot of the same info: GRAPHING POLE CURVES DOC)
- Finding Points of Intersection of Polar Curves
Students coming from Pre-Calculus at KSJC (with Ms. Cahill), you need to:
- First, those of you coming from Ms. Cahill's class will need to take the placement test for AP Calculus in August. It is not guaranteed that you will be in AP Calculus BC. I need to know you have truly mastered your previous work (and some NEW material). Once I have the dates of the placement tests set, I will email out and post a sign-up link. The summer packet will help cover MUCH of what is on the test and the links below will help you review while you complete the packet. BUT there are some additional topics not covered in the summer packet that are tested on the placement exam. I have posted links below to SOME of those topics. Other topics from the list of topics covered on the placement exam must be found by YOU. You know YOU best. I am posting the list of tested topics below, too.
- Complete the big summer homework packet (it is in pdf-form below). Read the instructions included so you know what to do. Answers are below when you are ready to check your work. Become a better student: don't just copy the answers. Complete the problems, check your work, and then correct your work IN A DIFFERENT COLOR.
- Complete the first unit of AB Calculus on Khan Academy by following these instructions. You need to do steps 1 and 2 by JULY 12th. I will be assigning the content on July 13th. DO NOT BEGIN ON AB CALCULUS BEFORE I ASSIGN THE CONTENT! You will have to go back and repeat it afterwards if you start early because your work won't appear on my dashboard until July 13th.
- Go to khanacademy.org and log-in with your KIPP email.
- Enroll in my class by following THIS LINK OR you can click on COACHES on your dashboard and put DADPFN6G into the class code box.
- Between July 13th and August 24th at 8AM (A CHANGE!), complete ALL the content I assign to you. You do not need to reach the "mastered" level, just the "practiced" level. This work is incredibly important given how quickly we need to move in BC Calculus. I would HIGHLY encourage you to take notes on the videos and keep those notes for our class. PLEASE!
Students taking Pre-Calculus over the summer at a Community College, you need to:
- YOU HAVE ONE THING TO DO! Those of you coming from a summer Pre-Calculus course will need to take the placement test for AP Calculus in August. It is not guaranteed that you will be in AP Calculus BC. I need to know you have truly mastered your previous work (and some NEW material). Once I have the dates of the placement tests set, I will email out and post a sign-up link. The summer packet I included for the KSJC Pre-Calculus students will be helpful if you want to complete it (BUT I AM NOT REQUIRING THAT YOU DO THAT). You will find the BIG packet below. That packet will help cover MUCH of what is on the test and the links below will help you review while you complete the packet. BUT there are some additional topics not covered in the summer packet that are tested on the placement exam. I have posted links below to SOME of those topics. Other topics from the list of topics covered on the placement exam must be found by YOU. You know YOU best. I am posting the list of tested topics below, too.
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Answers Are Here
If you need a graphing tool for the last set of the summer packet, use:
DESMOS or you own calculator.
Here is your job now. Check how you did, and then go back and restudy. Correct your mistakes on your paper in a different color!
KSJC Pre-Calculus Students: I have some helpful links posted below. Use the links below or search for yourself to restudy and relearn the material!
Former AB Students, there are not a bunch of links to visit for help. Check your answers below and email questions (or mistakes I made!).
Please email me if you have questions and bring the summer packet with your answers the first day of school.
DESMOS or you own calculator.
Here is your job now. Check how you did, and then go back and restudy. Correct your mistakes on your paper in a different color!
KSJC Pre-Calculus Students: I have some helpful links posted below. Use the links below or search for yourself to restudy and relearn the material!
Former AB Students, there are not a bunch of links to visit for help. Check your answers below and email questions (or mistakes I made!).
Please email me if you have questions and bring the summer packet with your answers the first day of school.
ap_calculus_summer_hw_ans_full.pdf | |
File Size: | 2495 kb |
File Type: |
calculus_bc_summer_former_ab_ans.pdf | |
File Size: | 507 kb |
File Type: |
AP CALCULUS PLACEMENT TEST TOPICS
Many of the topics are covered below in the links I am providing!
Factoring (simple, by grouping, completing the square, etc.)
Determining if a polynomial is positive or negative (sign chart)
Sketching graphs of polynomials (including end behavior) and describing the behavior using limits
Graphing exponential functions
Properties of exponents (exponent rules, using exponent rules to simplify expressions, etc.)
Graphing logarithms
Properties of logarithms (logarithm rules, using logarithm rules to simplify expressions, etc.)
Solving exponential and logarithmic equations without a calculator
Graphing rational functions (including identifying holes, vertical/horizontal asymptotes, etc) and describing behaviors using limits
Unit circle and evaluating trig functions at ALL points on the unit circle and beyond (all our work in Calculus is in radians and you will need to know how to evaluate all six basic trig functions)
Solving trig equations (using inverse trig operations)
Graphing trig functions (identifying period, vertical and horizontal asymptotes, etc for sine, cosine, tangent, cosecant, secant, and cotangent)
Graphing piecewise functions
Solving equations involving powers and radicals
Creating and evaluating composite functions
Finding and using inverse functions
Solving systems of equations (elimination, substitution, graphically)
Graphing lines in point-slope form
Graphing Parametric Curves
Eliminating Parameters from Parametric Curves
Using Parametric Curves in Applied Contexts
Graph Points in Polar Coordinates
Converting between Polar and Cartesian Coordinates
Graphic Polar Curves
Finding Points of Intersection between Polar Curves
Factoring (simple, by grouping, completing the square, etc.)
Determining if a polynomial is positive or negative (sign chart)
Sketching graphs of polynomials (including end behavior) and describing the behavior using limits
Graphing exponential functions
Properties of exponents (exponent rules, using exponent rules to simplify expressions, etc.)
Graphing logarithms
Properties of logarithms (logarithm rules, using logarithm rules to simplify expressions, etc.)
Solving exponential and logarithmic equations without a calculator
Graphing rational functions (including identifying holes, vertical/horizontal asymptotes, etc) and describing behaviors using limits
Unit circle and evaluating trig functions at ALL points on the unit circle and beyond (all our work in Calculus is in radians and you will need to know how to evaluate all six basic trig functions)
Solving trig equations (using inverse trig operations)
Graphing trig functions (identifying period, vertical and horizontal asymptotes, etc for sine, cosine, tangent, cosecant, secant, and cotangent)
Graphing piecewise functions
Solving equations involving powers and radicals
Creating and evaluating composite functions
Finding and using inverse functions
Solving systems of equations (elimination, substitution, graphically)
Graphing lines in point-slope form
Graphing Parametric Curves
Eliminating Parameters from Parametric Curves
Using Parametric Curves in Applied Contexts
Graph Points in Polar Coordinates
Converting between Polar and Cartesian Coordinates
Graphic Polar Curves
Finding Points of Intersection between Polar Curves
Extra Help Links for the BIG Packet (KSJC Pre-Calculus Students)
Remember, If these don't Help, you need to take the time to contact me OR look for things on your own. Much of this year is in your hands. Google some of the phrases and ideas below.
Topics G, H |
What is Point-Slope Form? Video
Point-Slope Problems (with examples like those in the summer packet) Point-Slope Problems Video Slope Intercept Form Slope Intercept Form from Two Points Solving Quadratic Equations |
Topic O |
Solving Polynomial Inequalities (good explanation, a little hard to understand)
Polynomial Inequalities Solving an Inequality Video How to Make a Sign Chart (gets you the same results as mine) Solving Compound Inequalities |
Topic P |
Quick Logarithms Properties Overview
Log Rules (read all 5 pages) Evaluating Logs Log Problem Video Basic Log Equation Solving Exponential Equations (use all three pages) Solving Exponential Equations: Paul's Notes Solving Exponential Equations Khan Solving Logarithmic Equations (use all three pages) Solving Logarithmic Equations Examples Video |
Topics Q, R, S, anD T: Unit Circle and Trig |
Math Is Fun: Unit Circle (use the arrows at the top to continue through the lessons)
Drawing the Unit Circle Tan, Sec, Csc, Cot from Unit Circle Khan Academy Trig Equations Solving Trig Equations Practice Problems with Explanations Solving Trig Equations Video Examples Trig Identities (this is part 1 of 3; click the next videos in the sequence for more) |
Topic U |
Topic U is a graphing exercises; no specific videos or links will be posted that cover this, too broad.
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Parametric Curves |
Polar Curves |
Polar Coordinates: Basic Introduction
Graphing Polar Curves (here is a document with a lot of the same info: GRAPHING POLE CURVES DOC) Finding Points of Intersection of Polar Curves |