Problem Solution Projects
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Programs & methods
Calculus Poster Project
This is a project designed to be used at any time during the school year. It especially lends itself to being used at the end of the year, but it can be used after learning related rates, volume, or optimization. The project consists of a poster and a written part. The student will be required to create a situation in which they would need to solve a related rates, volume, or optimization problem. The student will design a poster to show the situation and the problem and will also write a about
10th - 12th
Calculus, Math, PreCalculus
Optimization Project: Maximizing Real-World Solutions for Pre-Calculus and Calc
Optimization Project: Maximizing Real-World Solutions for Pre-Calculus and Calculus StudentsThis project guides students through the process of optimization, where they will choose or be provided with a real-world scenario to solve using mathematical methods. Key Features:Pre-Calculus Approach: Students will use the vertex of a parabola to find maximum or minimum values, ideal for practical optimization problems like maximizing area, volume, or efficiency.Calculus Approach: Students will take th
11th - 12th
Calculus, Math, PreCalculus
CCSS
HSN-Q.A.2
, HSA-CED.A.3
, HSF-IF.C.7
+3
Also included in: High School Mathematics Project Bundle
2nd International Mathematical Olympiad 1960 - Solution to Problem #2
Please check out my website for more free materials, games, and the highest quality premium learning products: learningisntlinear.comThis paper presents a solution to the 1960 IMO problem #2 that is accessible to high school teachers and students in Algebra. Great for projects, honors students, and confidence-building of doing hard problems. This is an inequality problem. Typed in LaTeX with one diagram.
8th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, Calculus
AP Precalculus Project | Solve Real-World Construction Challenges
Across the U.S. construction industry, one persistent issue continues to challenge commercial and institutional building developers: utility infrastructure limitations. Whether it's overloaded electrical systems, inefficient HVAC routing, or unsustainable water usage, these problems are both costly and disruptive. But what if students—right from their high school math classrooms—could engage with these real-world issues and offer innovative, data-driven solutions? Powering the Future: Applying P
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
ABC Path Numbers Puzzles | 300 Brain Teasers with Solutions | 100 Pages PDF PPT
Description: This book contains ABC Path Numbers puzzles designed to challenge and entertain. With 100 pages and a total of 300 puzzles, it offers plenty of brain-teasing fun. Each puzzle comes with complete solutions to help learners and puzzle enthusiasts improve their logical thinking and problem-solving skills. The book is available in PDF, PPT, and JPG formats, making it easy to use for printing, digital teaching, or interactive classroom activities. Perfect for teachers, students, and puzz
Not Specific
Calculus, Numbers, PreCalculus
Number Place Level 7 – 105 Games And Solutions funny sudoku game style
Number Place Level 7 – 105 Puzzles with Solutions Looking for a fun and challenging way to boost logical thinking and problem-solving skills? This resource includes 105 Number Place (Sudoku-style) puzzles at Level 7 difficulty, complete with full solutions for easy checking and learning. What’s Inside: 105 pages of engaging puzzles. Complete answer key included. Clean, easy-to-read design for all ages. File Formats Provided: PDF – ready to print or view digitally. PPT – editable slides for cla
Not Specific
Calculus, Numbers, PreCalculus
Kakurasu Puzzles Logic Math Game Level 8 | 105 Pages with Solutions funny game
Kakurasu Puzzles – Logic Game Level 8 ✨ Looking for a fun activity that combines logic and math challenges? This resource includes: 105 pages of engaging Kakurasu puzzles ✔️ Complete solutions included Available in PPT – PDF – JPG formats for easy printing or presentation Perfect for: Building logical thinking skills Practicing mental math Classroom activities or homeschool learning Brain teasers and math puzzle games A great way to keep students engaged while strengthening their problem-sol
Not Specific
Applied Math, Calculus, Numbers
Writing Project: Build-A-Box (Calculus)
This assignment is an example of writing in calculus. Students work in groups to solve the problem presented by the client and then write a collaborative report explaining the solution.
This assignment can be done individually but, when used in a group setting, students learn not only how to express their ideas but the concept of working in a team. I generally allow the students to divide the work among themselves without input.
General time-frame is two weeks for completion of the assignme
11th - 12th, Higher Education
Calculus, Other (Math)
Chain Rule Class Chain Project
The Chain Rule Class Chain Project is a collaborative and creative activity designed to help students master the chain rule. In this project, students create a unique chain rule problem and break it down into four clear, step-by-step solutions written on individual slips of paper. These slips are then linked together with their classmates' work to form a physical chain of problems, creating a visual and engaging representation of their understanding. This project encourages students to think cr
10th - 12th
Calculus
Calculus Final Project and Rubric - Create your own Problems
Calculus final project where students write their own word problems that relate to one of the objectives from the class, solve them, and then present them in some way. "Congratulations on finishing all of the Calculus lessons! You are now a bona fide mathematician. To prove it, you will create your very own problems and solve them. Every objective that we’ve had throughout this course are listed on pages 2-4, and you must create a problem for the objectives (each of which must be a word problem
11th - 12th
Calculus
Assessment for Limits, Graph Sketching, Continuity, and IVT (2 versions)
This assessment (2 versions) contains 11 free response problems (some with parts) and 1 multiple choice question along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Tests are in both PDF and Word form, keys are in PDF form. The tests assess: - Sketching a graph from descriptions of discontinuities - Evaluating limits from graphs and a piecewise function - Sketching a graph from limits - Using limit properties to evaluate limits - Using
11th - 12th
Calculus
Integral Review Quiz and Volume Review Quiz (2 separate quizzes)
The Integral Review Quiz contains 3 free response problems (one with 8 parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The Integral Review Quiz assesses: - Evaluating definite and indefinite integrals using u-substitution and algebraic simplification - Evaluating an integral for a piecewise function The Volume Review Quiz contains 5 free response problems along
11th - 12th
Calculus
Assessment for Derivatives, Motion, Tangent Lines, Graph Sketching (2 versions)
This assessment (2 versions) contains 10 free response problems (some with parts) with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Tests are in both PDF and Word form, keys are in PDF form. The tests assess: - Finding the derivative using derivative rules (power rule, log rule, exponential rule, product rule, chain rule) - Finding the second derivative using derivative rules - Sketching the graph of the derivative given a piecewise graph
11th - 12th
Calculus
Assessment for Integrals, Area, Volume, and Accumulation (2 versions)
This assessment (2 versions) contains 9 free response problems (one with 9 parts) with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Tests are in both PDF and Word form, keys are in PDF form. The tests assess: - Evaluating direct and indirect integrals with some requiring algebraic simplification and u-substitution and one involving a piecewise function - Evaluating an integral using a graph - Finding the area of a bounded region - Finding
11th - 12th
Calculus
Integral Quiz (2 versions) with Keys
The Integral Quiz (2 versions) contains 4 free response problems (one with 6 parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Evaluating direct and indirect integrals using algebraic simplification, power rule with linear "inside" function, trig, and natural logs (no u-substitution required) - Sketching and finding a bounded area - Sketching
11th - 12th
Calculus
Derivatives Quiz 1 (4 versions) with Keys
The Derivatives Quiz 1 (4 versions) contains 6 free response problems (some with parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Using the definition of the derivative to differentiate (no shortcuts) - Using the derivative to write the equation of a tangent line at a given point - Using the derivative to write the equation of horizontal tange
11th - 12th
Calculus
Derivatives Quiz 4 (4 versions) with Keys
The Derivatives Quiz 4 (4 versions) contains 4 free response problems (one with 7 parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Using derivative rules to find derivatives (power rule, product rule, quotient rule, multiple uses of chain rule, log rules, exponential rules, trig rules, inverse trig rules) - Using the derivative to write the eq
11th - 12th
Calculus
Derivatives Quiz 3 (4 versions) with Keys
The Derivatives Quiz 3 (4 versions) contains 3 free response problems (one with 12 parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Using derivative rules to find derivatives (power rule, product rule, quotient rule, multiple uses of chain rule, log rules, exponential rules, trig rules) - Using the derivative to write the equation of a tangent
11th - 12th
Calculus
Derivatives Quiz 2 (4 versions) with Keys
The Derivatives Quiz 2 (4 versions) contains 7 free response problems (some with parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Finding displacement, velocity, acceleration, when a particle stops, moves right/left, speeds up, slows down from the particle function - Using the derivative to find where a tangent line is perpendicular to a given
11th - 12th
Calculus
Limits Quizzes and Keys (4 versions)
The Limits Review Quizzes (4 versions) contain 10 free response problems along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Determining eight limits using algebraic simplification, end behavior reasoning, and numerical analysis - Sketching a piecewise graph and finding limits - Sketching a graph from limits
11th - 12th
Calculus
Critical Points Quiz (2 versions) with Keys
The Critical Points Quiz (2 versions) contains 2 free response problems (one with 8 parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Finding maxima/minima, intervals of increase/decrease, inflection points, intervals of concave up/down, and sketching a graph of the function - Sketching the graph of f(x) given a graph of its derivative
11th - 12th
Calculus
Calculus Optimization Project: Cost, Revenue, Profit
This is a project to use along with optimization and max/min problems in Calculus. In this project the student is creating a report to advise "Laura" who is interested in buying and selling soybeans. A price function is given for the soybeans based on a number of bushels sold along with fixed costs and the price Laura will be able to sell the soybeans. Based on this information the student is to recommend to Laura how many bushels of soybeans to purchase based on the price in order to maximiz
11th - 12th, Higher Education
Calculus, Other (Math)
Differential Equations and Slope Fields Quiz (2 versions) with Keys
The Differential Equations and Slope Fields Quiz (2 versions) contains 4 free response problems (some with parts) along with answer keys that show step-by-step solutions (where appropriate) with suggested point distributions. Quizzes are in both PDF and Word form, keys are in PDF form. The quizzes assess: - Finding particular solutions to differential equations - Drawing slope fields - Establishing a relationship between an amount and its rate, solving for a particular solution, and then usin
11th - 12th
Calculus
Calculus Taylor and MacLaurin Polynomials - Infinite Series
This Taylor and MacLaurin Polynomials - and Taylor Infinite Series resource includes Organizers, Guided Notes, and Practice Problems and full solutions. These materials will help your students not only visualize the series and polynomials when compared them, but will build a sold foundation and working knowledge of this topic. Included in the Lesson: Three handouts which explore different orders of Taylor Polynomials in full color. Students will be able to see where the polynomials diverg
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus BC or Calculus 2 Supplement Bundle
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