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MYP 5 Math Criterion B Investigation | A Bounded Family | Polynomials & Symmetry
MYP 5 Mathematics — Criterion B Mathematical Investigation "A Bounded Family" | 50–60 minutes | 30 marks A complete Criterion B investigation paper for IB MYP 5 Extended Mathematics. Students explore the family of functions f(x) = xⁿ(2 − x)ⁿ, discover how n controls the shape of the graph (local maxima, minima, inflexion points), and generalize the result to g(x) = xⁿ(a − x)ⁿ. ★ STRUCTURED BY CRITERION B LEVELS - Part A (Q1–Q3): Establish & Predict — Levels 1–4 - Part B (Q4–Q6): Generalize & For
9th - 10th
Algebra, Math Test Prep, PreCalculus
Trig Values Table for Unit Circle Special Values Organizer
This color-coded table of Common Reference Angles of the Unit Circle helps students learn the basic trig values in both radians and degrees. Students can discover patterns by way of the colors. The trig values are in exact fraction form, no slashes. I give this to my PreCalculus and Calculus students the first week of class in a plastic page protector and tell them to keep it handy (except during tests). It certainly is an improvement over having them stare at the ceiling when they need sin(
10th - 12th
Algebra, Other (Math), PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.3
, HSF-TF.A.4
Also included in: PreCalculus Trig Foldable Notes Bundle
Calculus Worksheets: Power, Product, Quotient, and Chain Rule
Guided Differentiation Worksheets + Math Minute Fluency Set (45 Pages)This comprehensive bundle gives you everything you need to teach, reinforce, and assess derivative skills with confidence. Each worksheet is carefully designed with scaffolded steps, clean layouts, ample workspace, and clear instructions to help students master differentiation. This resource includes Power Rule, Product Rule, Quotient Rule, Chain Rule, Trig Derivatives, Math Minute fluency sheets, and complete answer keys for
11th - 12th, Higher Education
Calculus, PreCalculus
Probability Circuit – Teen Edition (AP Statistics Unit 4 Review & Self-Checking)
Self-checking circuit with 32 real-world probability problems using teen slang and humor | Perfect for AP Statistics or Algebra 2 reviewTurn your probability review into a game-like challenge with this self-checking circuit worksheet! Students solve 32 creative word problems covering all key probability concepts from AP Statistics Unit 4, including complements, unions, intersections, independence, conditional probability, and Venn/tree diagrams — all wrapped in relatable, school-appropriate
9th - 12th
Algebra 2, PreCalculus, Statistics
CCSS
HSS-CP.A.1
, HSS-CP.A.3
, HSS-CP.A.5
+2
Also included in: Probability Game Bundle: AP Statistics & Algebra 2 Review Activities
Derivative Basics (Power Rule/Basic Trig) Notes
These notes cover simple and complex power rule and the six basic trig function problems. There is also a look at the continuity and differentiability of piece-wise functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My
9th - 12th, Higher Education
Calculus, PreCalculus
AP Precalculus End-of-Year Fun Packet
A 12-activity packet for the days after the AP exam. Includes a crossword, word search, mind-blowing math trivia, Would You Rather, AP Precalculus Jeopardy, mystery identification of famous mathematicians, diagnose-the-problem challenges, Mad Libs, Bingo, a "design your own function" creative challenge, a letter to a future student, and complete answer keys.Perfect for the post-exam stretch when students are checked out but you still want them engaged with the material they just spent a year on.
10th - 12th
PreCalculus
Also included in: AP Precalculus End-of-Year Fun Pack (Print & Digital)
Limits of Trig Functions Choice Board Calculus Worksheet
Limits of Trig Functions Choice Board gives students the chance to take ownership of their learning and choose what problems they want to solve while practicing solving the special trig limit (lim x- > 0 sin(x)/x). Choice boards work great as individual or partner activities during class or at home for students looking for additional practice problems. Limits of trig functions choice board is the perfect NO PREP activity that includes 16 problems total divided into 4 sets. All problems
11th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
MP6
, MP7
, MP8
Also included in: Evaluating Limits Practice Calculus Review Choice Board Activity
Expanding & Condensing Logarithms | 2-Day Guided Notes + Practice
✔️ Day 1 Guided Notes – Expanding logarithmic expressions✔️ Day 2 Guided Notes – Condensing logarithmic expressions✔️ Step-by-step examples with clear explanations✔️ Practice problems for each skill✔️ Mixed practice to reinforce both expanding & condensing✔️ Student-friendly layout for easy understandingAns Key for each page includeed
10th - 12th, Adult Education, Higher Education
Algebra 2, Financial Literacy, PreCalculus
Calculus Derivatives Power Rule Worksheet Choice Board Activity
Calculus Derivatives Power Rule Choice Board gives students the chance to choose their practice and take ownership of their learning. Regardless of which problems students choose on the worksheet they will be practicing the power rule for derivatives. Choice boards are no prep and work great as individual or partner activities during class or at home for students looking for additional practice problems. Power rule derivatives practice choice board is the perfect NO PREP activity that inclu
11th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
MP6
, MP7
, MP8
Guided Worksheet: Power Rule
Product Description: Power Rule Guided WorksheetThis guided worksheet helps students build confidence with the Power Rule by walking them through clear, structured practice problems. Each question is designed with step-by-step space so students can rewrite the function, identify exponents, and apply the power rule with intention. The layout supports learners who benefit from visual organization, scaffolding, and guided repetition. Perfect for introducing derivatives, reinforcing foundational cal
11th - 12th, Higher Education
Calculus, PreCalculus
Infinite Limits and Limits at Infinity Practice Choice Board for Calculus
Infinite Limits and Limits at Infinity Choice Board gives students the chance to choose their practice while taking ownership of their learning. No matter which problems students choose they will be reviewing how to evaluate infinite limits and limits to infinity. Choice boards work great as individual or partner activities during class or at home for students looking for additional practice problems. Infinite Limits and Limits at Infinity choice board is the perfect NO PREP activity that in
11th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
MP1
, MP2
, MP7
+1
Also included in: Evaluating Limits Practice Calculus Review Choice Board Activity
Guided Product Rule
Product Description: Product Rule Guided Worksheet with Trig FunctionsThis guided worksheet helps students master the Product Rule with a mix of polynomial and trigonometric functions. Each problem includes structured space for rewriting the expression, identifying f(x) and g(x), and applying the Product Rule step-by-step. The addition of trig functions provides meaningful challenge while still offering clear scaffolding to support student understanding. Perfect for introducing the Product Rule,
11th - 12th, Higher Education
Calculus, PreCalculus
Solving Limits Algebraically Calculus Choice Board Review
Solving Limits Algebraically Choice Board gives students the chance to choose their practice and take ownership of their learning. Choice boards work great as individual or partner activities during class or at home for students looking for additional practice problems. Solving limits algebraically choice board is the perfect NO PREP activity that includes 16 problems total divided into 4 sets. Students will choose two problems from each set to complete. No matter which problems they choose
11th - 12th, Higher Education
Calculus, Math, PreCalculus
CCSS
MP1
Also included in: Evaluating Limits Practice Calculus Review Choice Board Activity
Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions
Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
10th - 12th
Algebra 2, PreCalculus
AP Pre Calculus 2.7 and 2.8 Station Activity
This Station Activity is designed to help students master Composition of Functions and Inverse Functions (2.7 and 2.8 of the AP Pre Calculus course). Each question is written in AP-style format, giving students meaningful practice with the types of problems they’ll encounter on the AP Exam. There is a printable version and a digital version. The digital version is a google form activity, which could be assigned as a homework or pop quiz and is self-scoring. The printable version is good for a cl
10th - 12th
Other (Math), PreCalculus
Also included in: AP Pre Calculus Unit 2 Station Activity Bundle (2.1-2.8)
AP Pre Calculus 2.3 and 2.4 Station Activity
This Station Activity is designed to help students master Exponential Functions and Exponential Function Manipulation (Units 2.3 and 2.4 of the AP Pre Calculus course). Each question is written in AP-style format, giving students meaningful practice with the types of problems they’ll encounter on the AP Exam. There is a printable version and a digital version. The digital version is a google form activity, which could be assigned as a homework or pop quiz and is self-scoring. The printable versi
10th - 12th
Other (Math), PreCalculus
Also included in: AP Pre Calculus Unit 2 Station Activity Bundle (2.1-2.8)
Power Rule Worksheet
This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
11th - 12th, Higher Education
Calculus, PreCalculus
AP Pre Calculus 2.1 and 2.2 Station Activity
This Station Activity is designed to help students master Change in Linear and Exponential Functions and Change in Arithmetic and Geometric Sequences (Units 2.1 and 2.2 of the AP Pre Calculus course). Each question is written in AP-style format, giving students meaningful practice with the types of problems they’ll encounter on the AP Exam. There is a printable version and a digital version. The digital version is a google form activity, which could be assigned as a homework or pop quiz and is s
10th - 12th
Other (Math), PreCalculus
Also included in: AP Pre Calculus Unit 2 Station Activity Bundle (2.1-2.8)
Systems of Linear Equations with 3 Variables Digital Maze plus Printable
Your students will be challenged and engaged with this Digital Version of Systems of Linear Equations with 3 Variables Maze. This resource is NO PREP, engaging, and challenging. A printable version is included. Students practice solving systems of equations with three variables. Choose your method!! Elimination, Substitution, Matrices, or the Graphing Calculator. These problems are adaptable to all methods including using technology. Students solve the equations and find the answer for
11th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSA-REI.C.5
, HSA-REI.C.8
, HSA-REI.C.9
Also included in: PreCalculus Systems of Equations plus Matrices Digital Bundle
AP Precalculus Final Exam Review Pack (Print & Digital)
A review (print & digital versions included!) covering all four units: Polynomial & Rational Functions, Exponential & Logarithmic Functions, Trigonometric & Polar Functions, and Functions Involving Parameters/Vectors/Matrices. Includes a master formula and identity reference sheet with every equation, identity, and key relationship you need, plus a full practice test of 35 multiple-choice questions and 3 free-response problems modeled on the AP exam format. Complete answer keys with worked solut
10th - 12th
PreCalculus
Unit Circle Bundle
Unit Circle Bundle (Printable Download) Four crisp unit-circle pages for teaching, study, and review. You get both black and white backgrounds, each in a labeled and blank version. Color accents make reference angles easy to spot at a glance. What’s included (4 pages):Black background — labeledBlack background — blankWhite background — labeled (printer-friendly)White background — blank (printer-friendly)***Actual product does not contain watermark.***Why you’ll love itColor-coded cues highl
9th - 12th, Higher Education
Algebra, Geometry, PreCalculus
Transformations: Translation, Reflection, Rotation
Are you ready to turn your geometry lessons into an epic cinematic adventure? Introducing The Symmetry of Survival, the ultimate transformation worksheet from Nazli Tech School! Forget dry coordinate planes, immerse your students in a futuristic world where building a sustainable floating city depends entirely on their mastery of geometric transformations. This isn't just math; it's the blueprint for building a sustainable future! 🏙️✨ 🍎 Why Math Teachers Will Love This:Cinematic Storytellin
5th - 12th, Adult Education, Higher Education
Math Test Prep, PreCalculus
Precalculus Exam Reviews/Calculus Prerequisite Reviews
This is a set of three review sheets that are designed to be used at the beginning of Calculus course or as exam reviews for Algebra 2 or Precalculus. They could also be used for SAT or ACT prep, college entrance exam review or for any purpose you wish. Included are reviews for: Exponents, radicals and functionsPolynomial functions and manipulationsThe unit circle and trigonometric functionsThe first two have optional answer banks that you can give students to use as they work out the review p
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
HSA-SSE.B.3a
, HSA-SSE.B.3c
, HSA-APR.A.1
+9
AP Precalculus FRQ 2 Exponential Systems Practice
Do your students in AP Precalculus struggle with FRQ 2 when the function is in exponential form? Prepare your students for Free Response Questions (FRQs) with this focused practice on solving exponential systems! This resource helps students master writing and solving systems of equations in the form f(x)=a⋅b^x. Students will: ✔ Write systems of exponential equations from given conditions. ✔ Use substitution and properties of exponents to solve for the values of a and b. ✔ Use a calculator
10th - 12th
PreCalculus
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