A worksheet on calculus. The exercises require to differentiate given equations, find the coordinates of the point at which the gradient of a curve takes a specific value, find the gradient of a curve at a given point, find the turning points of a curve (given its equation) and find the velocity and the acceleration given the equation of the displacement with respect to time. Good for GCSE/IGCSE students. Detailed solutions are provided.
Get this resource as part of a bundle and save up to 56%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
Bundle
Algebra Worksheets | Simplifying, Expanding Brackets & Factoring Bundle
Master essential calculus differentiation skills with this comprehensive printable activity bundle! Designed for high school AP Calculus, Calculus AB/BC, and Advanced Algebra students, this unit covers power rules, constant rules, sum rules, fractional/negative exponents, gradients of curves, turning points (local extrema), and kinematics applications (velocity and acceleration). Includes step-by-step worked answer keys for every problem! Equip your calculus students for success with this multi-set practice bundle. From basic polynomial differentiation to applying derivatives to find curve gradients, stationary points, and particle motion, this resource provides high-value practice for classroom instruction, homework, unit review, or test prep. **What is Included in This Resource Pack:** - **Differentiation Fundamentals:** Practice applying the power, constant, and sum rules on basic polynomials, negative powers, fractional exponents, and radical expressions. - **Advanced Derivative Simplification:** Exercises requiring rewriting rational functions and quotient terms into index form before differentiating. - **Gradients of Curves:** Problems focused on evaluating dy/dx at given x-values and finding coordinates given a specific gradient. - **Turning Points & Stationary Points:** Step-by-step practice finding local extrema by setting derivatives equal to zero and solving for coordinate pairs. - **Kinematics & Real-World Applications:** Contextual problems analyzing particle displacement, calculating velocity functions, and evaluating acceleration over time. - **Complete Step-by-Step Answer Keys:** Fully worked solutions provided for all worksheets to support self-assessment, peer grading, and quick evaluation. **Key Product Highlights:** - Ready-to-print practice worksheets complete with answer keys. - Clean layout with clear sections for student work. - Aligned to High School AP Calculus and High School Functions Common Core Standards. - Extremely versatile for main lessons, AP exam review, small group intervention, homework, or substitute teacher lesson plans. Be sure to follow my store to stay updated on new high school math resources, freebies, and sales!
£3.45
Bundle
Intro to Derivatives, Turning Points & Kinematics Calculus Bundle GCSE 9-1
A collection of 5 worksheets on Calculus based on the GCSE 9-1 specification. In these worksheets students are taught to understand the concept of a variable rate of change, differentiate integer powers of x, determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs, distinguish between maxima and minima by considering the general shape of the graph and apply calculus to linear kinematics and to other simple practical problems). Detailed solutions are included. Master differentiation, turning points, and kinematics with this complete calculus worksheet bundle! Perfectly optimized for GCSE Further Maths, IGCSE, and AS-Level Pure Mathematics revision, this print-and-go pack covers the power rule, curve gradients, velocity, and acceleration with full step-by-step worked solutions. ________________________________________ Looking for a rigorous, print-and-go resource to help your secondary and sixth-form students master the fundamentals of calculus? This GCSE 9-1 & AS-Level Introduction to Calculus & Kinematics Bundle contains a comprehensive set of structured practice problems designed to build fluency and algebraic confidence. Moving from basic power rule applications to multi-step particle motion and stationary point proofs, this resource is perfect for formal classroom lessons, independent exam revision, structured homework assignments, cover work, or university preparation! Every question includes an uncrowded, student-friendly layout and comes paired with a complete, step-by-step worked solution key showing every single algebraic step, index law conversion, and derivative rule required to find the final answers. ________________________________________ **What's Included in This Practice Pack?** • **The Power Rule & Index Laws:** Extended practice differentiating standard polynomials alongside functions requiring manipulation of negative and fractional indices (e.g., handling variables in denominators or under radicals). • **Gradients of Curves:** Calculating the exact gradient of a curve at a specified coordinate point, or finding coordinates matching a given slope value. • **Stationary Points (Turning Points)**: Solving equations where the rate of change is zero (dy/dx = 0) to locate turning point coordinates, alongside identifying maximum or minimum turning states. • **Calculus Kinematics (Particle Motion):** Multi-step contextual problems analyzing position/displacement equations to derive velocity (v = ds/dt) and acceleration (a = dv/dt) expressions, including solving for exact displacement and time criteria. ________________________________________ **Perfect For:** • GCSE Further Maths / IGCSE Additional Maths: High-tier extension work and rigorous preparation for upper-level secondary exams. • AS-Level Mathematics (Year 12): Targeted Pure Maths and Mechanics practice for students laying down foundational calculus skills. • Cover Lessons & Homework: Structured, self-explanatory layout that requires zero preparation from you or a cover teacher. ________________________________________
£3.90
Bundle
Differentiation for GCSE/IGCSE worksheets (with solutions)
A collection of four worksheets on differentiation. The questions require the use of basic rules for functions that are powers of a variable or sums of powers of a variable and application of differentiation to problems on kinematics. Detailed solutions are included.
£3.80
Bundle
7 GCSE/IGCSE worksheets (with solutions)
7 Worksheets on the following topics: bounds, speed, solving quadratic equations by factorising, simplifying algebraic fractions, perfect squares, calculus and differentiation. Detailed solutions are provided.
£6.50
Bundle
Derivatives worksheets (GCSE/GCSE)
Three worksheets on differentiation. Detailed solutions are provided. Good for GCSE/IGCSE students.
£2.65
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£1.60