Proportions Unit Plan

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Proportions:

Proportions By: marla nevarez

Content standards (7th Grade):

Content standards (7 th Grade) CCSS.MATH.CONTENT.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.  For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction  1/2 / 1/4  miles per hour, equivalently 2 miles per hour . CCSS.MATH.CONTENT.7.RP.A.2 Recognize and represent proportional relationships between quantities.

Big Ideas/unit goals:

Big Ideas/unit goals Big Ideas/Unit Goals: Students will be able to analyze proportional relationships and apply them to solve real-world mathematical problems. How can you demonstrate a relationship between two things? Can you draw a diagram that represents the relationship between both concepts? How can you apply what you learned about making one batch of cookies to making 3 batches of cookies? 21 st Century Skills Students will use technology, an app for 7 th graders, to test their knowledge by being quizzed and by watching videos to help them review the material. Students will use proportions to in order to solve issues that occur in the real-world to see how math is all around us.

Student learning objectives and assessments:

Student learning objectives and assessments Objectives Students will use a real-world scenario to understand the importance of proportions. Students will use an educational application that will elaborate on what they have learned about proportions. Students will use diagrams to illustrate the proportional relationships in real-world problems. Assessments Real-world: Students are able to apply what they know about making one batch of cookies and what it will take to make three batches of cookies. App: Students will have successfully mastered a new level in the math department (by being tested on) and can fully comprehend the material without referring to the videos provided Diagram: Students accurately drew a visual of the given word problem and used it to help them solve the problem by adding more to the visual (highlighting, showing a figure moving, etc.)

Learning activities:

Learning activities A Baker’s Dozen It is a cooking example that tells what it takes to make a batch of cookies and what it takes to triple a batch. By using this activity as the first example, students will be able to tell how important proportions are, especially when you are baking (making those real-world connections keeps the interested). App: 7 th Grade Frenzy- Reading, Math, Science The app is a virtual tutor and a student can select which subject they want to focus on. Within each subject, there is an abundance of videos from Khan Academy that students can select to watch to recap on what they have learned. There are also quizzes that test their knowledge on the subject and they can compete with other people around the world.

Why I chose this topic:

Why I chose this topic I chose this topic because for one, I love math. Two, I spent half a semester in Math 403A learning about misconceptions when dealing with proportions. We participated in activities and class discussions about proportional problems. We also had a textbook all about proportions and how students see them and begin to solve them. Ultimately, I felt compelled to do a unit plan on this topic so I can apply what I learned in my previous class. I think that this is a good topic to be based on technology because there are a lot of useful videos and apps that students can use to understand the concept of proportions. Not to mention that there are a lot of simulations out there that can helps students visualize the concept of proportions. Using technology to teach this lesson is just another resource that students can have.

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