Multiply and divide fractions and decimals efficiently.
Students may learn techniques such as mental math or specified algorithms to perform these operations.
| Name |
Description |
| Dividing Fractions: Increasing Procedural Skill | This lesson helps students develop procedural skills in dividing fractions. During this lesson students will discuss prior knowledge of the concept of dividing fractions and will solve problems independently and in pairs using the standard algorithm. The lesson also incorporates music and poster-making to reinforce the learning objective. This lesson was originally designed for a 6th-grade Intensive Math class and should only be used following lessons where students have developed a solid conceptual understanding of dividing fractions. This lesson may take up to 3 days depending on how much practice and extra activities your students require. |
| Where's The POINT? What's The POINT? The Point is... a DECIMAL. "Multiply with Decimals" | Multiply efficiently and fluently with multi-digit decimals using a standard algorithm for the operation. |
| Vacation Time | The students will create a package list for a travel company. They must use all operations with decimals as well as compare decimals.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx |
| Sandy's Candy Machine | In this Model Eliciting Activity (MEA), students will use the 4 operations with decimal numbers and calculate profit (including negative numbers) as well as use the resulting data to help a business owner make decisions about their candy stores.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx |
| Dividing Fractions | In this lesson students will explore the different methods available for dividing fractions through a student-based investigation. The teacher will facilitate the discussion, but the students will discover the different methods on their own or with a partner as they work through the different steps. |
| Multiplying a Fraction by a Fraction | Students will multiply a fraction times a fraction. The students will section off a square through rows and columns that will represent the strategy of multiplying numerators and then denominators.
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| Relationship of Circumference to Diameter ~ Understanding Pi | In this lesson, students will develop an understanding of the meaning of pi and how it relates to the relationship to circumference and diameter. This is a hands-on activity where students measure circular objects and calculate the relationship of the circumference to the diameter. |
| Dividing by Fractions Discovery | This lesson allows students to derive an algorithm for dividing fractions using visual fraction models and equations to represent the problem. |
| Name |
Description |
| Space Math - Big Moons and Small Planets | Students use a scale representation of the top 26 small planets and large moons in the solar system to compare their relative sizes to Earth. Students will use simple fractions to solve real world problems. |
| Why Use the Reciprocal When Dividing Fractions? | Sometimes students ask, "Why are we using the reciprocal when dividing fractions?" This website gives you the language you can use and a visual demonstration of why. |
| Divide Fractions | This interactive resource provides three activities which model the concept of dividing fractions, as well as mixed numbers, by using number lines or circle graphs. It includes the equation showing the standard algorithm. |
| Calculating Sharks-SeaWorld Classroom Activity |
- Given data about sharks and the amount of food they eat, students will be able to solve for the unknown in percentage problems.
- Given information about a shark's growth, students will be able to graph coordinates and interpret a linear graph.
- Given the conversion factor, students will be able to convert from metric to English units.
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