Instantaneous Rates of Change

Instantaneous Rates of Change
Instantaneous Rates of Change
Instantaneous Rates of Change
Instantaneous Rates of Change

What's Included

  • Smart Notebooks Presentation
  • Activ Inspire Flipchart
  • Microsoft PowerPoint Presentation
  • Differentiated Worksheet

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a tangent at a point on a curve students find the gradient as an instantaneous rate of change.
Differentiated Learning Objectives
  • All students should be able to find the equation of a line that is tangential to a curve at integer values of x
  • Most students should be able to find the equation of a line that is tangential to a curve.
  • Some students should be able to use variation to model a non-linear function and calculate an instantaneous rate of change.
View online lesson
Lesson Downloads
Download PowerPoint Download Notebook Download Flipchart Download Worksheet
Scheme of Work Link
Functions, Iteration and Rates of Change SoW  
IMMEDIATE DOWNLOAD

Mr Mathematics Blog

Comparing Datasets using the Mean and Range

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

Solving Problems with Angles in Parallel Lines

Solving problems with angles in parallel lines is like solving a murder mystery.  One clue leads on to the next and the next until the murderer is found.  However, it doesn’t end there.  The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty.  If […]

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]