# 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 objectβ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

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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.