24th March
24th March - Learning Outcomes
- Find first and second derivatives of linear, quadratic and cubic functions by rule.
- Associate derivatives with slopes and tangent lines
- Apply differentiation to rates of change, maxima and minima, curve sketching.
Varying Rates of Change - Tasks
https://www.scoilnet.ieuploads/resources/31988/31730.pptx Added: 24 Mar 2020 Contributor: PDST Resource type: PresentationIntroduce students to calculus through rates of change using these three recommended tasks. These tasks were developed by the PDST Maths team. Supplementary GeoGebra files provided within.
View full descriptionHow it maps to the curriculum
- SC
- Mathematics
Strand: 5. Functions
Strand unit: 2. Calculus
Suggestions for use: Students should download the presentation and complete the tasks within.
Introducing Calculus - Questions
https://www.scoilnet.ieuploads/resources/31990/31732.pdf Added: 24 Mar 2020 Contributor: PDST Resource type: WorksheetThe following document contains effective questions for introducing calculus. Each question has a sample answer provided. Students should use these questions alongside the other resources highlighted within the document.
View full descriptionHow it maps to the curriculum
- SC
- Mathematics
Strand: 5. Functions
Strand unit: 2. Calculus
Rates of Change - Student Worksheet
https://www.scoilnet.ieuploads/resources/29646/29382.pdf Added: 16 May 2019 Contributor: PDST Resource type: WorksheetThe learner
(i) will sketch a graph to show the rate at which the height of the water level changes with time for two cylindrical containers of different radii and an inverted cone of given radius.
(ii) investigate constant speed
How it maps to the curriculum
- SC
- Mathematics
Strand: 4. Algebra
Strand unit: 2. Solving Equations
Suggestions for use: As an introduction to differential calculus
Strand: 4. Algebra
Strand unit: 1. Expressions
Suggestions for use: As an introduction to differential calculus
Introduction to Calculus - Plan
https://www.scoilnet.ieuploads/resources/29667/29403.pdf Added: 20 May 2019 Contributor: PDST Resource type:A Teaching & Learning plan to help students
• understand what is meant by, and the difference between, average and instantaneous rates of change
• recognise the need for differential calculus in terms of real-world problems
• understand the concept of the derivative of a function
• understand that differentiation (differential calculus) is used to calculate instantaneous rates of change
• understand how to apply differentiation to calculate instantaneous rates of change
How it maps to the curriculum
- SC
- Mathematics
Strand: 5. Functions
Strand unit: 2. Calculus
Suggestions for use: As an introduction to differential calculus
Newton, Leibniz, and Usain Bolt
https://www.khanacademy.org/math/ap...2-1/v/newton-leibniz-and-usain-bolt Added: 24 Mar 2020 Contributor: PDST Resource type: Audio / VideoWhy we study differential calculus? What does Newton, Leibniz and Usain Bolt has in common? Watch the Khan Academy recommended video to find the answers to the above two questions.
View full descriptionHow it maps to the curriculum
- SC
- Mathematics
Strand: 5. Functions
Strand unit: 2. Calculus
Suggestions for use: Stimulus.
Derivative as a Concept
https://www.khanacademy.org/math/ap...ew/ab-2-1/v/derivative-as-a-concept Added: 24 Mar 2020 Contributor: PDST Resource type: Audio / VideoIntroduction to the idea of a derivative as instantaneous rate of change or the slope of the tangent line using this Khan Academy video. Video is seven minutes in length.
View full descriptionHow it maps to the curriculum
- SC
- Mathematics
Strand: 5. Functions
Strand unit: 2. Calculus
Suggestions for use: Explanatory video for students to independently watch.
Average Rate of Change
https://www.khanacademy.org/math/al...roduction-to-average-rate-of-change Added: 24 Mar 2020 Contributor: PDST Resource type: Audio / VideoIntroduce students to the average rate of change with this Khan Academy video. By watching the video, your students will be able to answer the following question:
What's the average rate of change of a function over an interval?
How it maps to the curriculum
- SC
- Mathematics
Strand: 5. Functions
Strand unit: 2. Calculus
