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5th Grade
- Lesson
- 45 minutes
Fractions in Action: Multiply to Recycle
Purpose
Students will collaborate to design a school recycling program aimed at reducing waste by 50% by the semester's end. They will use fraction multiplication to track and analyze recycling data, applying mathematical concepts to real-world environmental challenges. Through hands-on manipulation of physical quantities, students will develop practical solutions, and peer assessments will foster constructive feedback and refinement of ideas. Engaging with the Onteora central school district will provide students with community insights and support for their project.
Learning goals
Students will apply fraction multiplication to real-world scenarios by designing a recycling program that aims to reduce waste by 50%. They will manipulate physical quantities to measure and analyze waste reduction progress, using fractions to calculate and predict outcomes. Through peer assessments, students will evaluate each other's mathematical solutions and strategies, fostering collaborative problem-solving skills.
Standards
- Common Core - CCSS.MATH.CONTENT.5.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
- Common Core - CCSS.MATH.CONTENT.5.NF.B.6: Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
- Common Core - CCSS.MATH.CONTENT.5.MD.B.2: Represent and interpret data using fraction multiplication to solve problems involving information collected from the recycling program.
Week 1 | Day 1 |
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Activities |
Begin the lesson by introducing the students to the challenge question: 'How can we create a recycling program in our school that reduces waste by 50% by the end of the semester, using fraction multiplication to track and analyze data?' Explain the importance of recycling and how it impacts the environment. Provide examples of how fraction multiplication can be used to track and measure recycling efforts. Engage students in a brief discussion to brainstorm initial ideas. Ensure students understand that they will be working in groups to come up with practical solutions, using math as a key tool. (10 minutes)
Divide students into small groups and distribute measuring scales, empty containers, and pre-collected recyclable materials (paper, plastic, glass). Instruct each group to weigh and record the quantity of each type of material. Then, guide them to use fraction multiplication to calculate potential waste reduction. For example, if they have 10 pounds of paper, ask them to determine how much waste would be reduced by recycling 3/5 of it. Encourage groups to discuss their calculations and explore different scenarios. This activity reinforces multiplication of fractions and helps students visualize the impact of recycling. (15 minutes)
Have each group present their findings and proposed recycling strategies to another group. Each group should evaluate the calculations and strategies of their peers, focusing on the use of fraction multiplication and the feasibility of the solutions. Provide a simple assessment rubric for feedback, highlighting accuracy, creativity, and practicality. Encourage constructive feedback and suggest improvements where necessary. This peer assessment session not only enhances understanding but also fosters collaborative problem-solving and critical thinking skills. (10 minutes)
Conclude the lesson with a reflection session. Prompt students to reflect on what they learned about fraction multiplication and how it applies to real-world problems like recycling. Discuss how they can engage with the Onteora central school district to gain insights and support for their recycling program. Encourage students to think about how their efforts can contribute to a larger community initiative. This reflection helps solidify the lesson's objectives and connects classroom activities to broader community and environmental goals. (10 minutes)
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Preparation |