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Identifying Arithmetic and Geometric Sequences Self-Checking Worksheet
Classify each sequence as arithmetic (give d), geometric (give r), or neither. Standards: AP Calculus BC Unit 10 — LIM-7.A (recognize arithmetic and geometric sequences). This is a self-checking worksheet. Each problem has a matching answer in the design grid above; as students shade in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — students catch their own mistakes before turning it in, and you can spot-check the page at a glance. Works for classwo
11th - 12th
Calculus, Math Test Prep, PreCalculus
Computing Sums of Geometric Series Self-Checking Worksheet
Compute sums of infinite and finite geometric series using S = a/(1 − r) and S_n = a(1 − r^n)/(1 − r). Standards: AP Calculus BC Unit 10 — LIM-7.A (geometric series). This is a self-checking worksheet. Each problem has a matching answer in the design grid above; as students shade in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — students catch their own mistakes before turning it in, and you can spot-check the page at a glance. Works for classwork,
11th - 12th
Calculus, Math Test Prep, PreCalculus
Finding Volume by Disks and Washers Self-Checking Worksheet
Compute the volume of a solid of revolution about the x-axis using V = π∫_a^b [R(x)]² dx (disks) or π∫_a^b ([R(x)]² − [r(x)]²) dx (washers). Standards: AP Calculus AB/BC Unit 8 — CHA-5.C (volumes of revolution — disks and washers). This is a self-checking worksheet. Each problem has a matching answer in the design grid above; as students shade in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — students catch their own mistakes before turning it in, a
11th - 12th
Calculus, Math Test Prep, PreCalculus
Polar and Rectangular Equations | 2 Lessons, 2 Worksheets, Keys
Introduces converting polar equations to rectangular, and vice versa. Reviews converting polar coordinates to a rectangular coordinate, and vice versa. Using the converted polar equations and then graphing them by hand: circles & horizontal/vertical/diagonal lines. Plotting polar points, both where r>0 and r<0. Reviews equation of circles & the Completing the Square method (needed for circles). Students will be using unit circle knowledge to help them graph a Rose polar equation! Presents
10th - 12th
Calculus, PreCalculus
CCSS
HSA-REI.B.4a
, HSG-GPE.A.1
Calculus - Deciding if an Infinite Series Converges or Diverges Activity Sheet
This activity sheet has 15 conceptually based questions on convergent and divergent series. Many of the questions are geometric series and students need to check the value of r to decide if the series converges or diverges. The last question is a real world problem involving a geometric series. A full set of solutions for the 15 questions are included. Questions are designed to be used with Advanced Placement Calculus students. A Spanish translation is included. AP Calculus Learning Objective
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus - Infinite Sequences and Series Activity Sheets - Bundle 5
Calculus - Defining and Differentiating Parametric Equations Activity Sheet
This activity sheet has 15 conceptually based questions on the concept of defining and differentiating vector-valued functions. Students match vector-valued functions with graphs, find derivatives of vector-valued functions, and show r(2) and r’(2) on a graph of r(t). Questions are designed to be used with Advanced Placement Calculus students. A full set of solutions is included. A Spanish translation is included. AP Calculus Learning Objective CHA-3 - Calculate derivatives of vector-valued func
11th - 12th, Higher Education
Calculus, Math
Calculus - Defining and Differentiating Vector-Valued Functions Activity Sheet
This activity sheet has 15 conceptually based questions on the concept of defining and differentiating vector-valued functions. Students match vector-valued functions with graphs, find derivatives of vector-valued functions, and show r(2) and r’(2) on a graph of r(t). Questions are designed to be used with Advanced Placement Calculus students. A full set of solutions is included. A Spanish translation is included. AP Calculus Learning Objective CHA-3 - Calculate derivatives of vector-valued func
11th - 12th, Higher Education
Calculus, Math
Calculus (6 Worksheets with Answers)
Calculus (6 Worksheets with Answers) 6 Worksheets with Answers include the following calculus topics: Basic Integration. Integration Using Substitution. Derivatives Using Power Rule. Derivatives Using Product Rule. Derivatives of Trigonometric Functions. Derivatives of Hyperbolic Functions. Thanks, A R Mathematics
11th - 12th, Higher Education
Calculus, Math, PreCalculus
The Binomial Theorem Worksheet (10Q)
The Binomial Theorem Worksheet 10 questions Questions about: Formal statement of the theorem Pascal's triangle * AlSO AVAILABLE FOR YOU OR A COLLEAGUE! - CLICK ANY LINK YOU WANT: Probability & OddsMean, median, mode, range, line plot, and Box and whisker WorksheetStatistical Math (GED REVIEW)Theoretical Probability WorksheetPermutations and Factorial Notation Worksheet (17 Questions)Probability Word Problems (Worksheet) You may also be interested in my other top-selling products: EQUIVALENT FRAC
8th - 12th, Adult Education, Higher Education
Calculus, Math
Calculus - Using and Creating Different Representations to Estimate Limits
This two page activity sheet can be used as the basis of a lesson on limits in Calculus. With the activity sheet, students explore the definition of a limit: If the function values g(x) can be kept arbitrarily close to a value R as x is kept very close to a value of c, then it is said that the limit of the function g as x approaches c is R. This activity sheet would be appropriate for an initial lesson on LIMITS.
10th - 12th, Higher Education
Calculus, Math
Sequences Practice Workbook: Basics to Applications with Answer Key
Copy-and-go sequence mastery for Grades 11–12 (Precalculus) and first-semester College Calculus. This workbook is organized into 12 tight chapters that move from notation and explicit/recursive forms to arithmetic and geometric models, monotone/bounded behavior, algebraic and transcendental limits (including (r^n), (\ln n), and (n^{1/n})), alternating/factorial sequences, Squeeze-Theorem bounds, subsequences/limit points, and applied contexts (finance, growth/decay, Newton’s method). Each chap
11th - 12th
Algebra 2, Calculus, PreCalculus
Competing Function Model Validation AP® Precalculus 2.6 Worksheet
Do you find that your AP ® Precalculus students need more help connecting regression models to data and applying key characteristics to determine which function model works best for the given data and why? Students will work on creating regression models for linear, quadratic and exponential, finding r values to determine which model is best and describing the data as an overestimate or underestimate given criteria for AP ® Precalculus topic 2.6. ⭐Skills Required: Regressions of linear, quad
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-LE.A.1
, HSF-LE.A.3
Simplifying Rational Expressions Worksheet (10 Q)
Simplifying Rational Expressions Worksheet
10 Questions
(6 problems) simplify each rational expression completely. Also, give the domain of each expression.
(4 problems) write each expression in simplified form. Your final answer should not contain any negative exponents.
You may also be interested in my other top-selling products:
EQUIVALENT FRACTIONS (33 Items)
Fractions 10 Pages of Practice (191 questions)
Fractions Review and Reinforcement
Fractions Test (15 Q)
4th Grade W
7th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, Math
AP Calculus - Unit 9 (Part 2) - REVIEW CIRCUIT (with Solutions!)
This circuit contains 18 problems that cover AP® Calculus BC Unit 9 (Part 2) – Calculus with Polar Equations. This circuit contains problems involving: The slope of a line tangent to a polar curveAverage distance of a point on a polar curve to the originFinding an interval where the r is decreasingDetermining the coordinates of a point furthest from the originArea enclosed by a polar curveArea between two polar curvesI give this circuit to my students at the end of the unit for review, but then
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: AP Calculus - Units 6 thru 10 (BC-only) - BUNDLE OF REVIEW CIRCUITS
Intro to Complex Numbers: Polar & Rectangular Forms | Lessons, Worksheets, Keys
What is polar and rectangular form? How do they relate to complex numbers? Deriving both polar & rectangular complex forms, and how to convert from a polar form complex number to rectangular form, and vice versa. Plotting/Graphing complex polar and rectangular points. What is the modulus |z| in the complex plane, and how is it related to the radius, r, of the real plane? How does this radius, r, connect to polar form?This package is a total of 40 QUALITY PAGES!---------------------------------
10th - 12th
Calculus, PreCalculus
CCSS
HSN-CN.B.4
, HSN-CN.B.6
, HSN-VM.A.1
Precalculus Final Exam (40 Questions)
Precalculus Final Exam 40 questions Multiple Choice Questions -Open Ended Questions Topics Covered: The formal rules of algebra Functions Graphs Polynomial functions The roots, or zeros, of a polynomial The slope of a straight line Linear functions: The equation of a straight line Synthetic division Roots of polynomials of degree greater than 2 Inverse functions Logarithms Logarithmic and exponential functions Multiplication of sums My Quizzes: 4th Grade Word Problems Quiz (10 Q)Equations and
8th - 12th, Adult Education, Higher Education
Calculus, Math
Evaluating Trig Functions at Special Angles QRST Method Guided Notes + Practice
Stop memorizing the unit circle—start understanding it. This resource teaches students how to evaluate trigonometric functions using the QRST Method, a step-by-step strategy that helps students consistently find trig values using quadrants, reference angles, and special triangles. Perfect for Algebra 2, Precalculus, or Trigonometry students who struggle with remembering special angle values or need a structured approach. What is the QRST Method?Students learn to: Q – Quadrant: Identify where
10th - 12th
Algebra 2, Calculus, PreCalculus
The Sine Function Word Search
The Sine Function Word Search
* 27 math terms to find in this word search puzzle!
* Your students will reinforce and learn from finding these words.
* Students LOVE these word searches and know how to use them.
* GREAT FILLER ACITIVTY while learning math terms.
* For all ages and levels.
(Math Word Search Puzzle)
All rights reserved by author.
Permission for downloads to copy for single classroom use only.
My Algebra Word Search Book:
Algebra Word Search Book 1
Algebra Word Sear
3rd - 12th, Adult Education, Higher Education
Algebra 2, Calculus, Math
The Tangent Function Word Search
The Tangent Function Word Search
* 27 math terms to find in this word search puzzle!
* Your students will reinforce and learn from finding these words.
* Students LOVE these word searches and know how to use them.
* GREAT FILLER ACITIVTY while learning math terms.
* For all ages and levels.
(Math Word Search Puzzle)
All rights reserved by author.
Permission for downloads to copy for single classroom use only.
My Algebra Word Search Book:
Algebra Word Search Book 1
Algebra Word S
3rd - 12th, Adult Education, Higher Education
Algebra 2, Calculus, Math
The Cosine Function Word Search
The Cosine Function Word Search
* 27 math terms to find in this word search puzzle!
* Your students will reinforce and learn from finding these words.
* Students LOVE these word searches and know how to use them.
* GREAT FILLER ACITIVTY while learning math terms.
* For all ages and levels.
(Math Word Search Puzzle)
All rights reserved by author.
Permission for downloads to copy for single classroom use only.
My Algebra Word Search Book:
Algebra Word Search Book 1
Algebra Word Se
3rd - 12th, Adult Education, Higher Education
Algebra 2, Calculus, Math
Sequences Workbook for Calculus and Precalculus: 240 Exercises
Build sequence fluency from first principles to exam-ready problem solving with a clean, copy-and-go workbook for Grades 11–12 (Precalculus) and first-semester College Calculus. The course is organized into 12 concise chapters with fully solved examples followed by aligned practice sets and a complete Answer Key—so you can assign, check, and reteach efficiently. Students progress from notation and explicit/recursive forms to arithmetic and geometric models, monotone/bounded behavior, algebr
11th - 12th
Algebra 2, Calculus, PreCalculus
Precalculus (Midterm Review)
Precalculus (Midterm Review) It covers the first three chapters and the following topics: Functions The x intercept(s), y intercept, and domain of each function below. Symmetry over the x-axis, y-axis, and/or origin. Graphing Functions The average rate of change Roots with multiplicity, and the y-intercept. Rational functions The vertex The factor theorem The Remainder Theorem Polynomial Logarithm and Exponential functions It is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade
10th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
Calculus - Practice Finding the Volume of Solids with Known Cross Sections
The AP calculus curriculum calls for students to understand how to find the volume of a solid with a known cross-section. These seven practice problems are set up to have students see how similar the technique is even though the cross-sectional shape changes. In every problem students answer the same four questions: • When the solid is cut perpendicular to the x-axis, each cross-section is a common two-dimensional shape where the base is sitting on the region R. • Two of the cross-sections a
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus - Volume using Known Cross Sections Bundle
Disk and Washer Radius Practice
For most students, the hardest part about finding the volume of a solid of revolution is identifying whether to use disks or washers* and what the radius/radii are. This set of 24 problems lets students focus on those two important aspects, with four sets of six related problems. Students are not asked to complete the (sometimes tedious) calculations to find the volume; instead, they are asked only to focus on identifying whether to use disks or washers and giving expressions for r (and R, for
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
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