Exploring Rectangle Area and Multiples with Technology
Mathematicians!
Video: The Art of Piet Mondrian
Learning Goals
I can apply the Depth and Complexity Framework (Details, Patterns, and Rules) to deepen my understanding of the area of a rectangle.
I can find areas of different rectangles with given side lengths.
I can understand that the area of a rectangle is a multiple of each of its side lengths.
Here's why it's great
It's Fun: Using technology makes learning exciting because we get to play with interactive stuff on the computer.
Quick Help: When we make mistakes, technology can help us immediately, so we can fix things and understand better.
It Helps Us See: Sometimes, math can be tricky, but with technology, we can see how rectangles work, like magic pictures that show us what happens when we change their size.
Friends and Teamwork: We can work with our friends on the computer, talk about math together, and learn from each other.
Different Cultures: We can use technology to learn math from different places and cultures, making our class even more exciting and interesting
Real-World Stuff: We can use technology to see how rectangles are used in the real world, like in building houses or designing cool stuff.
Warm-Up: Which one doesn't belong?
What does it look and sound like to do math together as a mathematical community?
Active Participation: Encourage all Mathematicians to actively participate in math discussions and activities. This includes answering questions, asking questions, and sharing their thought processes. Respect for Others: Mathematicians respect their peers' ideas and opinions during math discussions and group work. Mathematicians listen attentively when others are speaking and offer constructive feedback. Problem Solving: Mathematicians will tackle challenging math problems and persevere despite difficulties. Language of the Discipline: Mathematicians will use and understand math vocabulary and terminology. This helps communicate your mathematical thinking clearly. Multiple Strategies: Mathematicians will use multiple ways to solve a math problem. Celebrate different strategies and encourage exploration. Collaboration: Mathematicians work better through teamwork. Mathematicians can learn from each other and share their ideas to solve problems together. Accountability: Mathematicians check their work for accuracy and correctness. Classroom Organization: Mathematicians keep their math materials organized, including notebooks, worksheets, and math manipulatives. An organized workspace can lead to better understanding. Classwork Completion: Mathematicians complete their math lessons regularly. Homework reinforces what was learned in class and provides extra practice. Growth Mindset: Mathematicians have a growth mindset in math. Mathematicians know that mistakes are learning opportunities and that they can improve their math skills with effort and perseverance. Inclusivity: Mathematicians create an inclusive environment where every student feels valued and capable of learning math, regardless of their current skill level.
Center: Can You Build It?
Each group should share an interesting discovery or pattern they found while using the Rectangle Area Calculator tool.
Make sure everyone has their Chromebook, whiteboard, marker, and eraser. Prime numbers should pair up with composite numbers.
Input different side lengths to calculate the area of rectangles. Explore various combinations of side lengths.
Open the Rectangle Area Calculator tool in Google Classroom. "Virtual Tiles and Grid Paper"
One partner conceals a virtual rectangle from their partner, who must duplicate it using inch tiles on grid paper.
Activity 2: Depth and Complexity Framework
Rules: Discuss the rule that the area of a rectangle is a multiple of each of its side lengths. Help students understand that this rule holds true for all rectangles.
Details: Ask students to identify details about the rectangles they calculated the area for. What are the side lengths? What are the areas?
Patterns: Encourage students to look for patterns in their results. Are there any similarities or differences between the areas of the rectangles they calculated?
Always think like a Mathematician!