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Preview of MHF4U - Advanced Functions Gr 12 - Culminating Performance Task (CPT)

MHF4U - Advanced Functions Gr 12 - Culminating Performance Task (CPT)

Created by
Mathew Dsouza
MHF4U Culminating Task – Advanced Functions (Ontario Grade 12)Bring your course full circle with this comprehensive, curriculum-aligned culminating task designed specifically for the Ontario Grade 12 Advanced Functions (MHF4U) course. This rich performance task challenges students to demonstrate mastery of key concepts while making meaningful connections between multiple function families. THEME : Hiking the Salkantay Trail in Peru to Machu PichuThis document is a 27 Page PDF. 1) The task is sp
Preview of Derivative of Functions review

Derivative of Functions review

A derivative represents the instantaneous rate of change of a function with respect to a variable. In practical terms, it describes the slope of a tangent line at any given point on a curve. Core Differentiation Methods Chain Rule (Composite Functions): Used for nested functions, where the derivative is the "outside" derivative multiplied by the "inside" derivative.Implicit Differentiation: Applied when variables are intermingled (e.g., y^2 - 3xy + x^2 = 7), requiring both sides to be differenti
Preview of Exponential Functions Candy Lab – Decay, Growth & Modeling (TI-84 + Desmos)

Exponential Functions Candy Lab – Decay, Growth & Modeling (TI-84 + Desmos)

Created by
Sawyer Kolbe
Make exponential functions interactive and memorable with this real-world, candy-based math lab! Students explore exponential decay and growth using Skittles, M&Ms, or pennies, and use either Desmos or TI-84 calculators to model their data. It’s now fully updated with an example answer key, Desmos example, and editable Google Doc Versions, all included in one convenient file! What’s Included: 2 full versions of the lab: ➤ TI-84 Calculator Instructions ➤ Desmos Graphing InstructionsEditable
Preview of Derivative of functions

Derivative of functions

The study of derivatives is a cornerstone of calculus, marking the transition from static algebra to the mathematics of change. This chapter focuses on how functions behave at a specific moment, providing the tools to measure sensitivity, steepness, and motion. 1. The Concept of Instantaneous ChangeAt its core, a derivative represents the instantaneous rate of change of a function with respect to a variable. While algebra allows us to calculate the average speed over an interval, the derivative
Preview of Real-Life Piecewise Functions: Water Bill Step-by-Step Precalc Investigation

Real-Life Piecewise Functions: Water Bill Step-by-Step Precalc Investigation

Bring piecewise functions to life with this engaging real-world Precalculus task that connects math concepts to a relatable, authentic scenario — calculating water bills using real data from Palm Bay, Florida and other U.S. counties! Students explore tiered water rates and build mathematical models that help them understand how piecewise functions, slopes, and continuity apply to real-world pricing systems. Perfect for Precalculus, Algebra 2, or Functions and Modeling units. Students are intro
Preview of Trigonometric Functions to Find Angle Measures Riddle Worksheet

Trigonometric Functions to Find Angle Measures Riddle Worksheet

Created by
Jordan Rinaldi
Trigonometric functions to find angle measures. SOH CAH TOA math riddle worksheet
Preview of Applications of Calculus With Higher Order Derivatives

Applications of Calculus With Higher Order Derivatives

In this worksheet, students will find multiple derivatives of a function and then use these derivatives to find displacement, velocity and acceleration.  These physics applications are some of the easiest ways for students to see where derivatives are used in real life situations and to connect calculus to things they are learning in their classes. Only the power rule is needed for these problems, so this worksheet can be used before the other derivative rules have been learned.   An answer she
Preview of Statistics | One Variable Data | Desmos Cheat Sheet | Entire Unit 1 | INB

Statistics | One Variable Data | Desmos Cheat Sheet | Entire Unit 1 | INB

Created by
Mrs Marcos Math
AP Statistics Unit 1 Desmos Cheat Sheet – One-Variable Data (PDF + JPEG for Stickers & INB Anchor Charts)Make one-variable data simple and accessible with this AP Statistics Unit 1 Desmos Cheat Sheet! This resource is designed to support students in mastering key concepts from the first unit of AP Statistics while integrating technology and interactive learning. ✅ What’s Included: PDF Cheat Sheet: A clear, student-friendly reference covering everything needed for one-variable data in Unit 1.
Preview of AP Statistics Inference Stations Review - AP Exam Review Activity

AP Statistics Inference Stations Review - AP Exam Review Activity

Help your students crush their AP Stats exam review by introducing or reviewing all TI-84 Plus CE inference calculator functions with this Inference Review Stations activity before the AP Exam (for confidence intervals and significance tests). This activity familiarizes your students with the most  time-efficient approaches to answering inference questions, which can be a huge help while completing multiple-choice or free-response questions. Time is a HUGE factor during the AP Exam, and usin
Preview of AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 5.9 AP Calculus AB Topic: "Connecting a Function, Its First Derivative, and Its Second Derivative." When given the graph of f', often times my students struggle with identifying where the graph of f has a local minimum or maximum, where f is increasing/decreasing, or identifying where the graph of f is concave up/down, or has a point of inflection. Similarly, when given the graph of f'', they tend to struggle with ide
Preview of State Plan Do Conclude - Inference Procedure Statistics Poster - Math Decor

State Plan Do Conclude - Inference Procedure Statistics Poster - Math Decor

Help your students master statistical inference with this AP® Statistics Inference Procedure Poster! Designed as a clear and easy-to-follow anchor chart, this poster outlines the State, Plan, Do, Conclude framework used in AP® Statistics. Perfect for high school Statistics and AP® Statistics classrooms, this poster provides students with a step-by-step guide to structure inference problems, from stating hypotheses to drawing a conclusion. Display it on your classroom wall, bulletin board,
Preview of AP Precalculus FRQ 2 Test Prep Notes: Big Ideas & "What to Do When"

AP Precalculus FRQ 2 Test Prep Notes: Big Ideas & "What to Do When"

This handout reviews major concepts tested on Free Response Question #2. Secant LinesAverage Rate of ChangeEstimating using Average Rate of ChangeOverestimates and UnderestimatesError and Confidence in EstimatesDomain and Range RestrictionsThe "What To Do When ..." page pairs a process with four common question stems for Free Response Question #2. Concepts include ... Using data from a contextual scenario to write equations given a model functionUsing data to calculate unknown values of a functi
Preview of Integral & Antiderivative Cheat Sheet | FTC, Riemann Sum & Integration Technique

Integral & Antiderivative Cheat Sheet | FTC, Riemann Sum & Integration Technique

Created by
KingMamaMath
Give your students a complete guide to integrals with this comprehensive Antidifferentiation & Integration Techniques Cheat Sheet for AP Calculus! This resource is designed as a 2–3 page reference sheet covering everything students need for Unit 6, including both AB and BC topics. 📘 What’s Included:• Riemann sums (left, right, midpoint, trapezoidal) • Area under the curve & accumulation • Fundamental Theorem of Calculus (both parts) • Average value of a function • Properties of definite int
Preview of AP Precalculus Free Response Question 3 Test Prep Review Stations

AP Precalculus Free Response Question 3 Test Prep Review Stations

Keep students engaged during AP Precalculus test prep with these FRQ #3 stations! Students will focus on constructing models of periodic (sinusoidal) contexts. In a series of nine stations, students will work through THREE real-world scenarios ... Labeling five key points on a graphWriting both a sine and cosine equationDescribing an interval as positive/negative, increasing/decreasing, concave up/concave downDeterming how the rate of change of the function is changing over a certain interva
Preview of Data Management Rich Word Problems | Grades 3–4

Data Management Rich Word Problems | Grades 3–4

Looking for meaningful, discussion-based data management problems that get students thinking, talking, and justifying their reasoning? This Data Management Rich Word Problems resource is designed to build deep understanding through real-world scenarios that encourage students to analyze data, make comparisons, and explain their thinking. ✨ Perfect for math talks, problem-solving lessons, small groups, or assessment!What’s Included: ✔️ Engaging real-life word problems focused on data manage
Preview of Integral Applications Cheat Sheet | Area, Volume, Particle Motion, Accumulation

Integral Applications Cheat Sheet | Area, Volume, Particle Motion, Accumulation

Created by
KingMamaMath
Help your students connect integrals to real-world meaning with this comprehensive Applications of the Definite Integral Cheat Sheet for AP Calculus! This 2–3 page resource clearly organizes the most important concepts from Unit 8, giving students a structured, easy-to-follow reference for both conceptual understanding and AP Exam success. 📘 What’s Included:• Accumulation and net change (with real-world contexts) • Interpreting integrals using units (NUT strategy included!) • Riemann sums
Preview of Definite Integral Applications Cheat Sheet | Area, Volume, Particle Motion, ...

Definite Integral Applications Cheat Sheet | Area, Volume, Particle Motion, ...

Created by
KingMamaMath
Help your students connect integrals to real-world meaning with this comprehensive Applications of the Definite Integral Cheat Sheet for AP Calculus! This 2–3 page resource clearly organizes the most important concepts from Unit 8, giving students a structured, easy-to-follow reference for both conceptual understanding and AP Exam success. 📘 What’s Included:• Accumulation and net change (with real-world contexts) • Interpreting integrals using units (NUT strategy included!) • Riemann sums
Preview of Calculus Derivative Worksheet Bundle

Calculus Derivative Worksheet Bundle

This bundle includes worksheets for finding and using derivatives: 1) Finding derivatives using the definition of derivative - includes an optional answer bank for you to give students if desired 2) Finding higher-order derivatives and using them in applications - Uses only the power rule 3) Applications of Derivatives to find velocity, acceleration and change in business calculations - Includes using the first and second derivative again using only the power rule. 4) A worksheet practicing usi
Preview of Pastel Statistics Symbol Vocabulary Posters - Math Classroom Decor

Pastel Statistics Symbol Vocabulary Posters - Math Classroom Decor

Brighten your statistics classroom with this set of 42 Statistics Symbols Posters! Designed in a clean pastel style, each poster comes in two versions: color and black & white, making them perfect for classroom displays, math word walls, or student reference. This resource is ideal for AP® Statistics and high school Statistics courses. Posters include essential statistical symbols such as mean, median, standard deviation, variance, z-scores, probability, and more. Students will have a visu
Preview of 100 Algebra 1 Word Problems – Real World Applications | Test Prep Grade 7-9

100 Algebra 1 Word Problems – Real World Applications | Test Prep Grade 7-9

Created by
Emily class TH
Give your students the real-world algebra practice they actually need with this 100-question multiple choice worksheet bundle where every single problem is set in a practical, relatable context — jobs, money, travel, shopping, science, sports, and more. No abstract equation drills. Every problem asks students to set up, solve, and interpret algebra in context — exactly what standardized tests and real life demand. WHAT'S INSIDE — 4 SECTIONS, 25 PROBLEMS EACH:SECTION 1 — LINEAR EQUATIONS & EXPRES
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