Students will develop an understanding of basic calculus concepts, including differentiation and integration, through the use of animated gifs created with Brush Ninja.
- Computers or tablets with internet access
- Projector or interactive whiteboard (optional)
- Paper and pencils for students (optional)
- 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.
- 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 object’s position or quantity changes over time.
- 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.
- 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.
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.
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