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
Related Blog
Calculating Instantaneous Rates of Change  
IMMEDIATE DOWNLOAD

Mr Mathematics Blog

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]

Solving Inequalities using a Number Line

Students should be able to represent the solutions to an inequality on a number line, using set notation or as a list of integer values.  Here’s how I teach using the balance method for solving inequalities using a number line. Matching inequalities, Number sets and Number Lines At the start of the lesson students recap […]

Practical Tips for Using Mini-Whiteboards in a Mathematics Lesson

In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson.  I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making.  When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback.  […]