โ† Lesson Plans

Calculus Concepts Lesson Plan

Learning Objective

Students will develop an understanding of basic calculus concepts, including differentiation and integration, through the use of animated gifs created with Brush Ninja.

Materials

  • Computers or tablets with internet access
  • Projector or interactive whiteboard (optional)
  • Paper and pencils for students (optional)

Procedure

Introduction

  • Begin the lesson by asking students if they have heard of calculus before. Encourage them to share any prior knowledge they may have.
  • Explain that calculus is a branch of mathematics that deals with change and motion. It helps us understand how things change over time.
  • Introduce the concept of differentiation as finding the rate at which something changes, and integration as finding the accumulation or total amount of something over a period.

Brush Ninja Demonstration

  • Show students how to access and navigate the Brush Ninja website.
  • Provide a brief demonstration on creating simple animations using different shapes and colors.
  • Emphasize that animations can be used to represent change over time, making it a useful tool for understanding calculus concepts.

Differentiation Activity

  • Divide students into pairs or small groups.
  • Assign each group a scenario involving motion or change (e.g., a car accelerating, water filling up in a glass).
  • Instruct students to create an animated gif using Brush Ninja that represents the scenario assigned to them.
  • As they create the animation, encourage students to think about how the objectโ€™s position or quantity changes over time.

Group Presentations

  • Have each group present their animated gif to the class.
  • After each presentation, ask other students questions about what they observed in terms of change and motion in the animation.
  • Guide discussions towards identifying key elements related to differentiation, such as speed, direction, or slope.

Assessment

  • Observe student engagement during activities and discussions.
  • Assess understanding through student participation in group presentations and responses to questions related to differentiation and integration concepts.
  • Evaluate final animated gifs based on accuracy in representing change, motion, differentiation, or integration.

Extension

For advanced learners or as an extension activity:

  • Challenge students to create more complex animations that involve multiple objects changing simultaneously.
  • Introduce basic calculus terminology such as limits, derivatives, and definite integrals for higher grade levels.
  • Connect calculus concepts learned through Brush Ninja animations with real-life applications like motion sensors, weather predictions, or growth models.

How to animate with Brush Ninja

This video teaches the basics of using Brush Ninja

More Tutorial Videos โ†’

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Note: The lessons are written with the assumption that teachers will be using them as a starting point, and will be adapting them to suit the needs of their students and curriculum.

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