Data Analysis Lab
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Threads & Trends: Build a T-Shirt Company with Calculus
Turn your classroom into a business lab with this engaging end-of-year AP Calculus AB project! In Threads & Trends, students create their own T-shirt company and use calculus to make real business decisions. They’ll build cost, revenue, and profit functions, use derivatives to maximize profit, graph their models, and make data-driven recommendations like real entrepreneurs. This project blends optimization, derivatives, modeling, and business applications into a creative, real-world challenge
11th - 12th
Calculus, Engineering, Math Test Prep
IB Mathematics Standard Level (Analysis and Approaches) : A complete course
This book contains all of the material required for the IB examination in Standard Level Analysis and Approaches. It does NOT cover the internal assessment. There are 250 pages and detailed examples of every topic. There are also 26 sets of questions with answers.
11th - 12th
Algebra, Calculus, Statistics
AP Calculus Error Analysis & Find-the-Mistake Practice — Zero Hour: Error Audit
"Check your work" is a useless instruction unless students know what they're looking for. Error Audit teaches them to look — by giving them other students' work to dissect. Every problem in this skill set presents a worked solution with one or more embedded errors. Students don't redo the problem; they audit it. They identify the error, name the type (algebraic slip, conceptual misread, notation failure, sign error, derivative-of-a-product mistake, chain rule omission, etc.), and write the corre
11th - 12th
Calculus
GROWING Bundle - AP Calculus AB/BC - STEM Applications Graph Analysis Review
This GROWING bundle will provide you with ALL of my AP Calculus AB + BC activities as I grow my store. I will create products for all 8 AB units and 10 BC units that will provide activities, instructional routines, and teacher aids. Currently, the bundle is small, which means BIG savings for you in the future! This GROWING bundle currently includes... (updated 2025-09-06) + Unit 1 - Limits: Flexible Activity; + Unit 2 (Part 1) - Derivative Definition and Notation: Flexible Activity; + Noti
10th - 12th, Higher Education
Calculus, Math Test Prep
Exponential Function Context and Data Modeling (2.5 Mega Practice set)
This Mega Practice Set is designed to fully support AP Precalculus Unit 2.5 by providing a complete set of 19 original, exam-style multiple-choice questions. Students work through real-world exponential models, parameter interpretation, unit conversions, and data modeling using both discrete and continuous exponential forms. Can be used for class practice, homework, unit review, tutoring, or targeted AP-style warm-ups. 📘 What’s IncludedLevel 1 – Identifying Basic Parameters Level 2 – Workin
10th - 12th, Higher Education
Algebra, Calculus, PreCalculus
New Year’s Optimization Activity – AP Calculus Confetti Box Lab - Unit 5
🎆 Ring in the New Year with a hands-on calculus activity! 🎆 Introduce your students to the concept of optimization in a fun, tactile way using New Year’s confetti boxes. In this activity, students will cut, fold, and compare paper prisms to discover how to maximize volume—making the abstract concept of optimization concrete, festive, and memorable. How it works:Break students into groups and provide each group with: New Year’s Optimization – Introduction SheetNew Year’s Optimization – Lab Sh
10th - 12th
Calculus
Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review
Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
11th - 12th, Higher Education
Calculus
Investigate Curves: The Spread of Disease in Marginalized Communities
This relevant, multicultural math activity expands students' knowledge and application of curve analysis in calculus by exploring the spread of disease in marginalized communities. Includes student worksheet, reflection questions, and answer key.
12th
Calculus, Health
CCSS, NGSS
HSA-APR.B.3
, HSF-IF.B.6
, HSF-IF.C.7c
+6
AP Calculus Unit 5 Coloring Pages : MVT, Increasing/Decreasing, Concavity
✨ AP Calculus Unit 5 Coloring Pages – Engaging Review for Derivatives, MVT, and Curve Analysis! ✨Make your Unit 5 instruction unforgettable with this set of AP Calculus–aligned coloring pages designed to reinforce some of the most important derivative concepts in a visual and interactive way! These pages are perfect for classwork, stations, early finisher work, homework, or test review—and they add just the right amount of creativity to rigorous AP content. This resource includes 5 high-qualit
10th - 12th
Calculus
Math MOCK Exam 5
This comprehensive mathematics mock exam is aligned with the rigor of AP Calculus, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. With 50 MCQ questions organized by topic and a complete answer key, it offers broad curriculum coverage in a clean, timed-exam format. 📌 Topics Covered Analytic Space Geometry (Q1–Q5) — orthogonal projections, distances to planes, parametric equations of lines, parallel planes in 3DComplex Numbers (Q6–Q10) — quadratic equ
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
Math MOCK Exam 4
This focused mathematics mock exam is aligned with the rigor of AP Calculus, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. The purely MCQ format makes it perfect for timed practice, quick assessment, and exam simulation — with a complete answer key included. 📌 Topics Covered Complex Numbers (Q1–Q8) — roots of equations in ℂ, modulus, argument, exponential form, invariant points, mappingsProbability (Q9–Q15) — conditional probability, combinations, Bay
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
IB Math HL Tools for Mastery Poster Set – 36 Posters (PDF)
Bring abstract mathematics to life with this complete classroom poster collection for the IB Mathematics: Analysis & Approaches HL course. This resource includes 36 beautifully designed posters that reimagine advanced mathematical concepts as tools in a student’s “math toolbox.” Students don’t just memorize formulas — they visualize skills as instruments they can pick up and use: the Precision Hammer for algebra, the Unit Circle Compass for trigonometry, the Optimization Scanner for calcu
11th - 12th, Higher Education
Algebra 2, Calculus, Other (Math)
Calculus AB Unit 5 FRQs: 5 Exam-Style Questions with Detailed Solutions
This resource includes 5 exam-style free-response questions (FRQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Prompts focus on: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second derivative testCurve sketchingConnecting a function to its derivativesOptimizationBehavio
10th - 12th
Calculus
Calculus AB Unit 5 MCQs Part 2: 30 Exam-Style Questions with Detailed Solutions
This resource includes 30 exam-style multiple-choice questions (MCQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. This is Part 2 of a two-part set. Topics focus on: The second derivative testCurve sketchingConnecting a function to its derivativesOptimizationBehaviors of implicit relationsAnd moreFormat and UseExam-style MCQs with thoughtful distractors and a mix of calculator-active and non-calcula
10th - 12th
Calculus
Calculus AB Unit 5 MCQs Part 1: 38 Exam-Style Questions with Detailed Solutions
This resource includes 38 exam-style multiple-choice questions (MCQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. This is Part 1 of a two-part set. Topics focus on: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityAnd moreFormat and UseExam-style MCQs with thoughtful distractor
10th - 12th
Calculus
Math MOCK Exam 6
This rigorous mathematics exam is aligned with the format and rigor of AP Calculus, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. Unlike MCQ-based exams, this resource focuses entirely on proof-based, multi-step open-ended problems — developing the deep reasoning and written mathematical communication skills required in top university entrance exams. 📌 Topics Covered Analytic Geometry & Integration (Ex.1 — 6 pts) — implicit curve x³−2x²+xy²+2y²=0, s
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
graph logarithm and inverse function : exponential , rational exponents function
Graphing Logarithmic Function, Domain , Asymptotes & end behaviour Rational function inside logarithm + inverse function nested logarithm analysis of the function with detailed explanation for exam preparation It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior.
11th
Algebra 2, Calculus, Graphing
CCSS
HSF-IF.A.1
, HSF-IF.C.7d
, HSF-IF.C.7e
+4
Math MOCK Exam 3
This rigorous mathematics exam is aligned with the format and rigor of AP Calculus, AP Statistics, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. It combines a 28-question MCQ section and a multi-step open-ended problem, mirroring the mixed-format structure students encounter in international standardized exams. 📌 Topics Covered Calculus & Functions — curve reading, derivatives, tangent lines, asymptotes, concavity, limitsSequences & Series — geometri
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
Math MOCK Exam 2
This rigorous mathematics exam is aligned with the format and rigor of AP Calculus, AP Statistics, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. It combines a 30-question MCQ section and a rich multi-step open-ended problem, mirroring the mixed-format structure students encounter in international standardized exams. 📌 Topics Covered Calculus & Functions — curve analysis, derivatives, convexity, tangent lines, limitsSequences & Series — convergence, p
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
Math MOCK Exam 1
This rigorous mathematics exam is perfectly aligned with the format and rigor of AP Calculus, AP Statistics, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. It combines a 30-question MCQ section and a multi-step open-ended problem, mirroring the mixed-format structure students encounter in international standardized exams. 📌 Topics Covered Calculus & Functions — limits, continuity, derivatives, concavity, curve analysisSequences & Series — classificati
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC
AP Calculus Applications of Derivatives Multiple Choice Practice – 25+ AP-style questions covering related rates, optimization, straight-line motion, curve analysis, and the Mean Value Theorem. Aligned to AP College Board CED Units 4-5. Helps students master real-world applications of differentiation and build exam readiness without unnecessary trick questions.What's Included:Original AP-style multiple choice questions covering:Straight-line motion (position, velocity, acceleration)Interpreting
9th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
Limits on Tables Practice Worksheet
Strengthen your students’ understanding of limits with this focused Calculus worksheet on evaluating limits from tables. In this activity, students analyze numerical data presented in table form to determine the limit of a function as xxx approaches a given value. Students must express each answer using proper limit notation, reinforcing both conceptual understanding and mathematical communication. Skills Reinforced: Interpreting function behavior from a table Identifying one-sided and two-si
11th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
MP6
Applications of Derivatives Unit
🎯 Master the most important applications of derivatives This comprehensive 100+ page unit teaches students how to apply derivatives to real-world problems, including tangent lines and graph analysis, optimization, and related rates. Designed for AP Calculus AB/BC, CLEP Calculus, Honors Calculus, and college courses, this resource builds both conceptual understanding and problem-solving mastery. ✔️ 100+ page complete unit ✔️ Concept lessons + worked examples ✔️ Scaffolded guided practice ✔️
9th - 12th, Higher Education
Calculus
Also included in: Complete Calculus 1 Review
Precalculus Prioritized Standards | AI-Ready | Curriculum Guide (PDF)
Precalculus prioritized standards aligned to Common Core (+). Designed from a calculus teacher’s perspective to prepare students for AP Calculus AB/BC and advanced STEM coursework. Focus on algebraic fluency, function analysis, trigonometric reasoning, and modeling.Are you trying to figure out what actually matters in Precalculus—and what truly prepares students for Calculus? This resource is built with a clear goal: 👉 Prepare students for the pace, rigor, and abstraction of AP CalculusNot j
9th - 12th, Adult Education, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
HSN-CN.A.3
, HSN-VM.A.1
, HSN-VM.A.3
+15
Also included in: Precalculus Prioritized Standards Bundle | PDF + Editable Google Doc
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