Percent Increase and Decrease Quiz - Page 3
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Curve Sketching of Rational Functions – Limits, Asymptotes, and Discontinuities
This in-depth teaching resource on curve sketching of rational functions is designed for upper secondary and advanced mathematics courses. It provides a rigorous yet accessible approach to analyzing rational functions through limits, asymptotes, discontinuities, derivatives, and global behavior. Students learn how rational functions differ fundamentally from polynomial functions and how denominator zeros lead to vertical asymptotes or removable discontinuities. Step by step, the material guid
9th - 12th
Calculus
AP Precalculus Summer Work Packet | Guided Notes, Review, Practice & Answer Keys
Prepare students for success in AP Precalculus and avoid the summer slump with this comprehensive, skill-building Summer Work Packet designed to review essential Algebra 1, Algebra 2, functions, radicals, complex numbers, quadratics, exponentials, logarithms, and trigonometry concepts before the school year begins. This resource was intentionally designed with a guided-notes format so students can work independently while still receiving structured mathematical support. Each topic includes step
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSA-SSE.A.1a
, HSA-SSE.A.1b
, HSA-SSE.B.3a
+22
Integrals as Rates of Change and Accumulation – Understanding Continuous Process
Understanding Accumulation Through Integration helps students move beyond procedural integration toward meaningful mathematical interpretation. Students learn how integrating a rate function yields the net change of a quantity over time or space. Through carefully structured tasks, learners analyze motion, growth, decay, and resource flow scenarios, developing confidence in interpreting integrals without relying solely on graphical representations. The material supports step-by-step reasoning w
9th - 12th
Calculus, PreCalculus
Solids of Revolution & Volume Calculation – Disk and Washer Methods | LESSON
This high school math presentation introduces solids of revolution and volume calculation using integral calculus. Students learn how rotating a function around an axis creates a three-dimensional solid and how volumes are calculated using the disk and washer methods. The presentation is aligned with U.S. high school pre-calculus and introductory calculus standards. Instructional Goal Students develop a structured approach to volume problems, combining geometric reasoning with integral cal
9th - 12th
Calculus, PreCalculus
Integral Calculus as a Modelling Tool – Applications & Real-World Problems
This high school math presentation introduces integral calculus through real-world modelling. Students learn how integrals represent accumulated change and how they are applied to motion, growth, inflow–outflow, and area problems. The resource is aligned with U.S. high school pre-calculus and introductory calculus standards. Instructional Goal Students develop a structured approach to applied integral problems, moving from contextual understanding to mathematical formulation and correct in
9th - 12th
Calculus, PreCalculus
Antiderivatives & Rules of Integral Calculus – Step-by-Step Introduction | Math
This high school math presentation introduces antiderivatives and core integration rules with a strong emphasis on conceptual clarity and structured problem solving. Students learn how integration reverses differentiation and how basic rules simplify integral calculations. The resource aligns with U.S. high school pre-calculus and introductory calculus content. Instructional Goal Students develop confidence in finding antiderivatives, applying integration rules correctly, and checking resul
9th - 12th
Calculus
Optimization Problems & Extreme Value Tasks – Understanding Mathematics
This high school math presentation introduces optimization problems using differential calculus. Students learn how to model real-world situations mathematically, define target functions and constraints, and determine maximum or minimum values using derivatives. The focus lies on conceptual understanding and exam readiness. Instructional Goal Students develop a systematic approach to optimization problems that emphasizes modelling, analytical reasoning, and interpretation of results. The pre
9th - 12th
Algebra, Calculus
Function Reconstruction & Profile Tasks – From Graph to Function | Math
This high school math presentation teaches students how to reconstruct polynomial functions based on graphical information. Instead of starting with equations, learners analyze graphs and translate given properties into algebraic conditions. The resource emphasizes conceptual understanding, modelling, and exam readiness. Students learn to connect graphical features with function terms using derivatives and systems of equations. The presentation supports analytical reasoning and prepares students
9th - 12th
Calculus
Derivatives of Trig and Inverse Trig Functions
This is topic 18 in my AP Calculus curriculum. This PowerPoint guides students through how to apply the derivative rules for trig and inverse trig functions. You may either have students go through the PowerPoint on their own or you may do it as a whole class. It is best used with the corresponding notes that I have created for it.
9th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Gerunds and to-infinitives | Mr Bean | YouTube | Exam | Filling in the blanks
Consolidation Worksheet with Answers: Engaging with Gerunds and To-InfinitivesThis interactive worksheet reinforces students' understanding of verbs that can be followed by both gerunds and to-infinitives, highlighting their different meanings (e.g., forget, remember, regret, quit, and stop). Key Features:Video Introduction: Students start by scanning a QR code to watch a fun YouTube video featuring Mr. Bean in an exam scenario—because who doesn't love Mr. Bean?Fill-in-the-Blanks Activity: Stude
1st - 12th, Higher Education
Calculus, Grammar, Short Stories
Function Compositions Unit | Full 5E Lesson Kit | Algebra 2 | AP Precalculus
Transform Function Operations and Composition into a Student-Friendly, Engaging Unit!Help students master function operations, function composition, decomposition, domains, modeling, and relations with this complete 10-lesson 5E instructional unit designed for Algebra 2 and AP Precalculus classrooms.This ready-to-teach lesson kit provides everything you need to build conceptual understanding and procedural fluency while saving hours of planning time. Students move from combining functions algebr
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-BF.A.1
, HSF-BF.A.1b
, HSF-BF.A.1c
+2
Also included in: Algebra 2 Curriculum Bundle | Full Semester 5E Curriculum | AP Prep
Gaussian Elimination – Solving Systems of Linear Equations Step by Step | LESSON
📌 Overview This detailed and student-friendly presentation introduces Gaussian elimination as a reliable, systematic method for solving systems of linear equations. It is ideal for high school algebra and linear algebra units. 📚 What’s Included ✔ real-world motivation for linear systems ✔ clear explanation of linear equations and variables ✔ matrix and augmented matrix representation ✔ elementary row operations ✔ row echelon form explained visually ✔ step-by-step solution proces
9th - 12th
Calculus, Geometry
Year-Long AP Calculus Course
Entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 1 Limits and Continuity1.1 Introducing Calculus: Can Change Occur at an Instant? 1.2 Defining Limits and Using Limit Notation 1.3 Estimating Limit Values from Graphs 1.4 Estimating Limit Values from Tables 1.5 Determining Limits Using Algebraic Properties of Limits 1.6 Determining Limits Using Algebraic Manip
9th - 12th
Calculus
Year Long AP Calculus Course Resources
Entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 1 Limits and Continuity1.1 Introducing Calculus: Can Change Occur at an Instant? 1.2 Defining Limits and Using Limit Notation 1.3 Estimating Limit Values from Graphs 1.4 Estimating Limit Values from Tables 1.5 Determining Limits Using Algebraic Properties of Limits 1.6 Determining Limits Using Algebraic M
9th - 12th
Calculus
Logarithms as the Inverse of Exponential Growth | High School Math Presentation
This high school math presentation introduces logarithms as a powerful tool for solving exponential growth and decay problems. Rather than starting with abstract rules, students explore why logarithms exist, how they invert exponential processes, and where they appear in real life. What Students Will Learn what logarithms really represent how to solve exponential equations using logs how to interpret logarithmic scales why linear intuition often fails how logarithms are used in scienc
9th - 12th
Algebra, Calculus
Also included in: Logarithms – Complete High School Math Bundle | 150+ PAGES
Logarithms – Complete High School Math Bundle | 150+ PAGES
This complete high school math bundle provides everything needed to teach logarithms as the inverse of exponential growth and decay through conceptual understanding and real-world modelling. Students explore why logarithms exist, how they invert exponential processes, and how they are used in science and everyday contexts. What’s Included lesson hook / introductory slides student worksheets and guided practice full teaching framework real-world modelling tasks reflection and extensio
9th - 12th
Calculus
Curve Sketching of Polynomial Functions | Step-by-Step Calculus Presentation
This step-by-step calculus presentation guides students through the complete analysis of polynomial functions, building both procedural confidence and conceptual understanding. Rather than memorising steps, students learn why each step matters, how derivatives describe function behaviour, and how to avoid common exam mistakes. What Students Will Learn how to analyse polynomial functions systematically how to find and interpret zeros, extrema, and inflection points how derivatives describe
9th - 12th
Calculus
Also included in: Polynomial Functions – Complete Curve Analysis Bundle | High School Math
Polynomial Functions – Complete Curve Analysis Bundle | High School Math
This complete high school math bundle provides everything needed to teach curve analysis of polynomial functions in a clear, structured, and concept-focused way. Instead of isolated worksheets, students work with a coherent set of materials that guide them through the entire curve analysis process, building both procedural confidence and conceptual understanding. What’s Included step-by-step instructional slides student worksheets and guided practice full teaching framework modelling
9th - 12th
Calculus
Comparing Growth Models: Linear vs. Exponential vs. Logarithmic | High School
This high school math presentation helps students understand how to choose the right mathematical model for different types of growth and change. Through realistic examples, students explore linear, exponential and logarithmic behaviour, learn to avoid common modelling errors, and develop critical thinking skills essential for applied mathematics. What Students Will Learn how different growth models work how rates of change affect long-term behaviour how to identify appropriate models
9th - 12th
Calculus
Holistic Function Analysis – Connecting Calculus Tools into One WORKBOOK
Holistic Function Analysis is a comprehensive upper secondary mathematics resource designed to help students connect individual calculus techniques into a unified analytical approach. Rather than treating limits, derivatives, and integrals as separate topics, this material emphasizes how these tools interact to fully describe a function’s behavior. Students learn to analyze domain restrictions, asymptotic behavior, zeros, monotonicity, extrema, concavity, inflection points, and accumulated quan
9th - 12th
Calculus
Integral Calculus – Understanding Areas Under Curves | Math Presentation
This high school math presentation introduces integral calculus with a strong emphasis on conceptual understanding. Students learn how integrals arise from the problem of calculating areas under curves and how antiderivatives and the Fundamental Theorem of Calculus connect differentiation and integration. The presentation supports U.S.-aligned instruction in pre-calculus and introductory calculus. Students develop a structured understanding of definite and indefinite integrals, learn to apply
9th - 12th
Algebra, Calculus
Math Report Card Comment Generator | Grades 9–12 | IB DP
Report card season doesn’t have to take over your evenings. This Google Sheets math comment generator gives you 360 carefully written, IB DP-aligned comments covering five key mathematical skills — and assembles a complete, personalised paragraph in seconds. Type the student’s name, choose their gender, set the math context. Click ✓ on the comments you want. Your paragraph builds automatically. Copy and paste straight into your report card system. Every comment is written for Grades 9–12 — s
9th - 12th
Algebra, Calculus, Other (Math)
Also included in: Report Card Comment Generator Bundle | Math | K–12 | IB PYP MYP DP
Integral Calculus – Calculating Areas with Definite Integrals | MATHS WORKBOOK
Integral Calculus – Calculating Areas is a comprehensive upper secondary mathematics resource that introduces integration as a powerful tool for analyzing global quantities such as areas. Students learn how definite integrals quantify areas between function graphs and the x-axis, and why the distinction between signed (oriented) areas and geometric (non-oriented) areas is mathematically essential. The material emphasizes conceptual clarity by linking integration directly to antiderivatives thr
9th - 12th
Calculus, PreCalculus
Differential Equations – Modeling Change Through Mathematics | Calculus
Understanding Differential Equations helps students see calculus as a language for describing continuous change. This classroom-ready resource emphasizes the full modeling cycle: translating verbal descriptions into differential equations, solving them analytically, determining constants through initial conditions, and interpreting solutions within real contexts. Students work with authentic scenarios such as population growth, radioactive decay, cooling processes, and financial models. Special
9th - 12th
Calculus, PreCalculus
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