Basic Function Tables
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Pre-AP Introduction to Curve Sketching-Polynomial Functions **EDITABLE**
This practice set is designed to introduce students to the basics of curve sketching. They use prior knowledge about finding the x-intercepts of polynomial functions the end behavior patterns, and extend this knowledge to include the fact that the instantaneous rate of change at a critical point is equal to zero. These three characteristics are then used to generate the rough sketch of polynomial functions.
This file includes an editable .doc file which includes teaching tips, a list of prere
10th - 12th
Algebra 2, Calculus, Other (Math)
CCSS
HSA-APR.B.3
, HSF-IF.A.1
, HSF-IF.B.6
+2
Worksheet: Differentiation from First Principles
This is a one-page worksheet with seven functions for finding the derivative using the limit definition of the derivative (first principles). Formula included on the worksheet. Functions are basic polynomial, radical, and rational functions.
11th - 12th
Calculus, Math, PreCalculus
100 No Prep | Grade 9–12 | Math Word Problems |
TitleGrade 9–12 | No Prep Mental Math Drills | 100 Advanced Quick Problems with Answer Key DescriptionPrepare high school students for advanced math fluency with 100 challenging mental math drills that include exponents, roots, percentages, and algebra. Perfect for sharpening speed and accuracy in higher-level math. ✅ Why students and teachers love this resource:Challenges students beyond basic computation.Great for test prep (SAT, ACT, STAAR).Reinforces algebra, geometry, and
9th - 12th
Algebra, Calculus, Geometry
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
Function Reconstruction & Profile Tasks – Complete Teaching Bundle | Bundle
Important note: All included resources are also available as individual products. This complete teaching bundle provides a didactically coherent unit on function reconstruction (profile tasks) for high school mathematics. The bundle combines a structured lesson plan, comprehensive teaching materials, and a clear instructional presentation to support conceptual understanding, procedural fluency, and exam readiness. Students learn how to derive function equations from given graphical and t
9th - 12th
Calculus
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
Function Analysis & Model Comparison – Linear vs. Exponential vs. Logarithmic
This complete high school math bundle provides a fully aligned set of resources for teaching students how to analyse, compare, and select mathematical models. Students move beyond formula-based work and develop critical modelling skills, learning how growth behaviour, rates of change, and assumptions influence predictions. What’s Included introductory and comparison slides student worksheets and modelling activities full teaching framework discussion prompts and reflection tasks dif
9th - 12th
Calculus
Curve Analysis of Exponential and Logarithmic Functions | PRE-Calculus WORKBOOK
This comprehensive teaching resource on the curve analysis of exponential and logarithmic functions is designed for upper secondary mathematics and advanced pre-calculus courses. Students develop a deep understanding of growth, decay, limits, asymptotic behavior, derivatives, and inverse functions. Instead of treating exponential and logarithmic functions as separate topics, this material highlights their fundamental relationship as inverse functions, supporting conceptual clarity and long-t
10th - 12th
Calculus, PreCalculus
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
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
Powers of 2 Worksheet | Math Practice for Kids | Exponents Basics
Help your students understand the concept of powers in a simple and engaging way! This Powers of 2 Worksheet is perfect for introducing and practicing basic exponents in a clear and structured format. What’s included: Practice with powers of 2 (2¹, 2², 2³, etc.)Perfect for: Elementary and middle school studentsBeginners learning exponentsClassroom practice or homework Why this resource? Helps students understand the concept of exponents step by stepBuilds strong math foundationsSimple and clear
5th - 12th
Applied Math, Calculus, ELA Test Prep
Digital Math Resources Basic Operations Practice with Numbers
Looking for fun math practice? 🌟 Try this set of digital resources where kids will practice basic math operations: addition, subtraction, multiplication, and division with engaging activities. Perfect to use for math centers, assessment, independent practice, early finishers, homework, group work, as well as during distance learning or hybrid.💰 SAVE 30% AND GRAB THIS SET IN A MEGA BUNDLE!Here’s what teachers and parents are saying: ⭐️ "Thank you for this amazing resource! My students are e
K - 3rd
Basic Operations, Calculus, Numbers
Finding Max/Min Value Of A Function In Word Problems
This is a whole period packet with lesson focus on finding maximum and minimum values of a function in word problem form. It uses the first and second derivative tests. It includes a slide presentation (pptx) with 4 embedded videos and a follow-along notes sheet, as well as a practice/homework worksheet with answer key.
11th - 12th, Adult Education, Higher Education
Calculus, Math, Other (Math)
CCSS
HSF-BF.A.1
, HSF-BF.A.1a
, HSF-BF.A.1b
+1
Functions - Parent Functions all senior math students need to know!
I give this worksheet out (on coloured paper) on the first day of my Grade 12 Functions class. They should know already how to graph all these functions. They keep this sheet handy all semester to remind them if they forget. We refer to it often!
11th - 12th
Calculus, Graphing, PreCalculus
Calculus - Create your own piece-wise function!
This is a worksheet that asks students (mine work in pairs) to create a piece-wise function with certain guidelines (one piece linear, etc.) Students write the function, graph the function on a [-3, 3] x [-3, 3] grid, then answer questions about their function's continuity, differentiability, and instantaneous rate of change at each integer x-value on [-3, 3].
11th - 12th
Calculus
Notes on Deviratives
Notes/cheat sheet on basic derivatives, including power rule, product rule, quotient ru.e
11th - 12th
Calculus, Math
Calculus Product Rule Answer Hunt
Using the product rule, students will find the derivatives of these functions. Uses standard Power Rule and Trigonometry Functions.
Students start with any poster and complete the derivative at the bottom; they then search for the poster that has a matching answer at top. From here they repeat the process until all 10 equations have been correctly completed.
I also have other Calculus Answer Hunts in my store:
Basic Derivative Hunt (free!)
Chain Rule Answer Hunt
Basic Integral Answer Hunt
An
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Calculus Chain Rule Answer Hunt
Using the chain rule, students will find the derivatives of these functions inside of functions. Uses standard Power Rule and Trigonometry Functions.
Students start with any poster and complete the derivative at the bottom; they then search for the poster that has a matching answer at top. From here they repeat the process until all 10 equations have been correctly completed.
I also have a other Answer Hunts in my store:
Basic Derivative Hunt (free!)
Product Rule Answer Hunt
Basic Integral An
10th - 12th, Higher Education
Calculus, Math
Precalculus (Midterm Review)
Precalculus (Midterm Review) It covers the first three chapters and the following topics: Functions The x intercept(s), y intercept, and domain of each function below. Symmetry over the x-axis, y-axis, and/or origin. Graphing Functions The average rate of change Roots with multiplicity, and the y-intercept. Rational functions The vertex The factor theorem The Remainder Theorem Polynomial Logarithm and Exponential functions It is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade
10th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
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
AP Calculus Editable Warm-Up Templates
⭐⭐This SET OF EDITABLE TEMPLATES is designed to enhance your warm-up exercises through the school year. There are editable text boxes for you to insert functions and equations for your students to get a start to your instructional days.⭐⭐ ✅ KEY CONCEPTS/TOPICS:Limits and ContinuityDerivatives RulesIntervals of Increase and DecreaseConcavityAntiderivativesDefinite IntegralsPosition, Velocity, AccelerationVolumes of SolidsI value your feedback. Please rate this product. If you have any issues or
9th - 12th, Higher Education
Calculus
Math Exit Tickets Grades 9–12 | DOK Levels 1–3 | PDF + Google Slides | CCSS
Exit tickets for senior Math that match the depth and rigour of high school mathematical thinking. This pack gives you 36 DOK-leveled exit tickets across 12 skills from functions and proof through to calculus, matrices, and vectors. Every ticket has a structured working space and reasoning explanation area. DOK 3 prompts require the kind of extended justification expected at IB DP and AP level. What's Inside36 exit tickets across 12 Math skills3 DOK levels per skill (DOK 1–3)Working box on every
9th - 12th
Algebra, Calculus, Statistics
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
Optimization Problems with Constraints – Modeling and Solving Extremum Problems
This comprehensive resource on optimization problems with constraints supports upper secondary students in mastering one of the most application-oriented topics in calculus. Students learn how to translate real-world situations into mathematics by defining objective functions, formulating constraints, and reducing multivariable problems to a single-variable function. Using derivatives, they determine extrema systematically and interpret results within the original context. The material places
9th - 12th
Calculus, PreCalculus
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