Math Problem Solving Toolkit
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AP Calculus Problem-Solving Journal
This document is intended to be used throughout the course for students to journal about how they should approach and solve certain problem types. The idea is to make brief notes about the primary types of problems solved in AP Calculus AB to provide a resource to use as a study tool, both for Unit Assessments and the AP Exam. This file is currently filled in almost completely by me (basically an answer key), but the info in the right column can easily be deleted in your copy to hand out to stud
11th - 12th
Calculus
AP Calculus Area Between Curves Disk Method Volume Scavenger Hunt
Incorporating game-like elements makes learning more enjoyable, which can reduce math anxiety and foster a positive attitude towards practicing math concepts. Scavenger hunts are a move around activity involving teamwork, fostering collaboration and communication skills as students work together to solve problems. Each lettered problem, once solved, will guide students to their next question. The final question will loop back to the beginning. Students can start at any station and will complete
11th - 12th, Higher Education
Calculus
AP Calculus Limits (Graphically and Algebraically) Scavenger Hunt Graphs Factor
Incorporating game-like elements makes learning more enjoyable, which can reduce math anxiety and foster a positive attitude towards practicing math concepts. Scavenger hunts are a move around activity involving teamwork, fostering collaboration and communication skills as students work together to solve problems. All questions ask students to calculate the limit of a function, some from a graph and others from an equation. Limits can be solved by direct substitution and students will utilize f
9th - 12th, Higher Education
Calculus, PreCalculus
Calculus Limits from Graphs Digital Escape
After being captured by Aliens from a distant planet while exploring the Galaxy, your Calculus students must solve 37 problems on Limits from Graphs in 5 different Escape Rooms in order to be released by the Alien Queen. Students must determine the limits, if they exist, from analyzing a graph, then use their answers to escape that room. Each room has a different challenge to complete and earn the key to the next room. Challenges include Multiple Choice problems, a Maze, True False question
11th - 12th
Calculus, PreCalculus
Also included in:Â Limits Bundle of Fun Activities for Calculus
Volume with Known Cross Sections Digital Mystery Puzzle + Printable | Calculus
Finding the Volume of Solids with a Known Cross Section has never been this engaging. In this self - checking digital mystery picture activity your Calculus students solve 12 problems. As they solve the problems correctly in Google Sheetsâ„¢, their answer box turns green and the picture starts to reveal itself. If their answers are incorrect, the answer box turns red and they have to redo the problem. Students can answer the problems in any order and the picture progression remains the same,
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Big Digital Bundle with Printables
Calculus Area Between Polar Curves Digital plus Print Activities
This Calculus assignment on determining the Area Between Polar Curves includes an editable Google Formsâ„¢ assignment and a Printable PDF version. There are 7 Multiple choice problems determining the area between Polar functions. Some problems have the graphs included with the polar axes to help determine the limits of integrations, while others do not. Ensure that students can solve for these points using simple trig equations. There is one example in the Google Form assignment showing a problem
11th - 12th, Higher Education
Calculus
Also included in:Â Calculus 2 Big Digital Bundle plus Printables
Calculus 1st Semester Review Digital Build a Pair of Penguins plus Printable
Here is a great digital activity for your Calculus students to review the topics of first semester. It is perfect for in class at at home. There are 12 problems for your students to solve from the Units on Limits, Derivatives and Differentiation, and Applications of the Derivative. Also included in a printable version of the question in free response. Students solve the multiple choice problems and based upon their answers they build a pair of penguins adding hats, mittens, scarf, nose, ha
11th - 12th
Calculus
Also included in:Â AP Calculus AB Big Digital Bundle with Printables
Calculus Integration of Trig Functions Matching plus Notes Digital & Print
Here is a great way to give your Calculus students extra practice or to assess their skills with Integration of Trigonometric Functions. This digital resource includes Guided Notes with 4 solved step by step examples plus a 15 question assignment which can be used as a Quiz, HW, or Paperless worksheet. It is designed with Google Formsâ„¢ which means it is NO PREP for you and will be graded automatically. Students will integrate the problems and then choose from 21 choices of answers in a chart
11th - 12th, Higher Education
Calculus
Also included in:Â Calculus Integration Digital Bundle Unit 4 (6 AP) plus Printables
Calculus Infinite Series Ratio and Root Tests Digital Maze plus PRINT VERSION
Here is a great activity for your Calculus BC and Calculus 2 students studying Convergence of Infinite Series. This Maze is a great way to keep your students motivated to complete their work and catch mistakes. There are 19 problems in the maze and your students must solve 10 to complete the maze. Students use the Ratio and Roots Tests to determine whether the series is Convergent, Divergent, or if the tests are inconclusive. There is an optional slide with the Rules for the Ratio and Roots
11th - 12th, Higher Education
Calculus
Also included in:Â Calculus 2 Big Digital Bundle plus Printables
Exact Value Trig Functions AP PreCalculus Calculus Guilty Party IB Radians
The game of Clue requires deductive reasoning, logic, and critical thinking skills to solve the mystery. By gamifying a math problem to mimic the structure of Clue, students are encouraged to use these same skills to solve mathematical problems, thereby enhancing their problem-solving abilities. Students work collaboratively to solve the 10 math problems and use the clues to solve the mystery. Clues can be posted around the classroom and students show their work and solve the mystery on their i
9th - 12th, Higher Education
Applied Math, Calculus, PreCalculus
Integration by u-Substitution 60 Digital Task Cards plus Print version
This Digital Version of Integration by Substitution Task Cards Activity for Calculus really works to reinforce the techniques your students have learned. These problems not only review this unit, but help students comprehend while engaging them in active learning. With one problem shown at time, your students are not overwhelmed. A free response PDF printable version in worksheet format is included. All of the problems are solved by using the substitution method. In the digital version eac
11th - 12th, Higher Education
Calculus, Math
Also included in:Â Calculus AB Digital Activity Bundle 2nd semester
AP Calculus Derivatives Review Game | SCOOT Task Cards | Unit 2
Looking for an engaging, low-prep way to review derivatives in AP Calculus? This AP Calculus Derivatives Review Game is a SCOOT-style, movement-based activity that gets students up, moving, and actively practicing key derivative rules — all with zero prep for the teacher. Perfect for: AP Calculus Unit 2 review Test prep or midyear review A change of pace from worksheets Sub plans or low-energy days ✅ What is SCOOT?SCOOT is a movement-based task card activity where students rotate arou
11th - 12th, Higher Education
Calculus
Polar Coordinates Mystery Picture
Students will practice plotting polar coordinates to create a mystery picture. Coordinates include radians, degrees, negative angles and radii, and coterminal angles. When points are plotted and connected in order, the resulting picture is a sea turtle.
9th - 12th
Calculus, Graphing, PreCalculus
Calculus Derivatives Digital Unit Bundle plus printables
Engage and assess your Calculus students with these Derivatives and Differentiation Interactive Digital activities. These engaging, challenging activities, assessments, and assignments will reinforce your students skills. Printables also included on most resources. Included are activities such as: Digital Task Cards, Graphing, Matching, Mazes, puzzles, and flip books plus Self-Grading, Editable Digital Assessments or Assignments with Googleâ„¢ Forms. Many of the resources have printable versi
11th - 12th, Higher Education
Calculus
AP Calculus AB Guided Notes - The Derivative and the Tangent Line Problem
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 2.1 - Th Derivative and the Tangent Line Problem and includes all theorems, definitions, and problems. Suggested homework problems can be found at the bottom of the last page of the notes.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 2 Differentiation
Average Value AP Calculus | Google Form Activity
11-question Google Form on Average Value problems for AP Calculus classes. This assignment is editable and has answers included. It can be scored and used as a test or quiz!
9th - 12th, Higher Education
Applied Math, Calculus, Math Test Prep
Calculus Integration Digital Bundle Unit 4 (6 AP) plus Printables
Engage and assess your Calculus students studying Integration with these these NO PREP, Paperless, engaging, yet challenging activities. Topics include Definite and Indefinite IntegrationInitial Value problemsRiemann SumsSummation NotationFundamental Theorem of CalculusArea under a curve, and more Included are Digital Task Cards, Graphing, Matching, Assessments, and Homework. Also included in the bundle are Self-Grading, Editable Digital Assessments or Assignments with Googleâ„¢ Forms. Many o
11th - 12th, Higher Education
Calculus
AP Calculus AB Guided Notes - Optimization
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 3.6 - Optimization and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 3 Applications of Differentiation
AP Calculus AB Guided Notes - Area
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 4.2 - Area, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 4 Integration
AP Calculus AB Guided Notes - Related Rates
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 2.6 - Related Rates and includes all theorems, definitions, and problems. Suggested homework problems can be found at the bottom of the last page of the notes.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 2 Differentiation
AP Calculus AB Guided Notes - Implicit Differentiation
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 2.5 - Implicit Differentiation and includes all theorems, definitions, and problems. Suggested homework problems can be found at the bottom of the last page of the notes.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 2 Differentiation
AP Calculus AB Guided Notes - Infinite Limits
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 1.5 - Infinite Limits and includes all theorems, definitions, and problems. Suggested homework problems can be found at the bottom of the last page of the notes.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 1 Limits and Their Properties
AP Calculus AB Guided Notes - Slope Fields
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 5.1 - Slope Fields, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in:Â AP Calculus AB Guided Notes - Chapter 5 Differential Equations
AP Calculus AB Guided Notes - Basic Integration Rules
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 7.1 Basic Integration Rules and includes all theorems, definitions, and problems. Suggested homework problems can be found at the bottom of the last page of the notes.
11th - 12th, Higher Education
Calculus
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