Description
This resource on differentiation by first principles provides students with the link between instantaneous rates of change, gradients and differentiation. It also introduces the students to the use of limits.
The worksheets offer students valuable practice in applying first principles to differentiate a range of problems. Each of the initial worksheets focus on a particular type of equation, ranging from simple to more complex and include modelled examples. This makes the resources ideal for substitute lessons, supporting students in catching up after an absence, or for assigning as homework. The final worksheet contains a selection of all the different types of equations, making it ideal for revision.
Comprehensive solutions are provided for every worksheet.
Contents of this pack:
•Differentiation from first principles – theory.
•Differentiation from first principles: f(x)=ax, example with 6 questions.
•Scaffolded differentiation from first principles: f(x)=ax, 3 questions.
•Differentiation from first principles: f(x)=ax+b, example with 2 questions.
•Differentiation from first principles: f(x)=ax2, example with 3 questions.
•Differentiation from first principles: f(x)=f(x)=ax^2+bx, example with 3 questions.
•Differentiation from first principles: f(x)=a/x, example with 3 questions.
•Differentiation from first principles: mixed types, 6 questions.
•Full worked solutions for each of the worksheets above.
•Terms of use.
For other worksheets on differentiation, please visit my TpTstore.
Re Martin
Highlights
Description
This resource on differentiation by first principles provides students with the link between instantaneous rates of change, gradients and differentiation. It also introduces the students to the use of limits.
The worksheets offer students valuable practice in applying first principles to differentiate a range of problems. Each of the initial worksheets focus on a particular type of equation, ranging from simple to more complex and include modelled examples. This makes the resources ideal for substitute lessons, supporting students in catching up after an absence, or for assigning as homework. The final worksheet contains a selection of all the different types of equations, making it ideal for revision.
Comprehensive solutions are provided for every worksheet.
Contents of this pack:
•Differentiation from first principles – theory.
•Differentiation from first principles: f(x)=ax, example with 6 questions.
•Scaffolded differentiation from first principles: f(x)=ax, 3 questions.
•Differentiation from first principles: f(x)=ax+b, example with 2 questions.
•Differentiation from first principles: f(x)=ax2, example with 3 questions.
•Differentiation from first principles: f(x)=f(x)=ax^2+bx, example with 3 questions.
•Differentiation from first principles: f(x)=a/x, example with 3 questions.
•Differentiation from first principles: mixed types, 6 questions.
•Full worked solutions for each of the worksheets above.
•Terms of use.
For other worksheets on differentiation, please visit my TpTstore.
Re Martin




