Multiply And Divide Mixed Customary Units
Subject: Math
Grade: Sixth grade
Topic: Units Of Measurement

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Introduction to Customary Units – Understand customary measurement units – Units like inches and gallons measure length and volume – Examples: inches, feet, yards, gallons, pounds – A foot has 12 inches, a yard has 3 feet, a gallon has 4 quarts – Converting between customary units – To convert, multiply or divide by conversion factor – Calculating with different units – Use multiplication or division to solve problems with units | This slide introduces students to the customary units of measurement commonly used in the United States. It’s crucial for students to understand these units because they are widely used in everyday life, from cooking to construction. Start by explaining each unit and its application. Then, demonstrate how to convert between units, such as inches to feet or gallons to quarts, using multiplication or division. Emphasize the importance of knowing these conversions for accurate measurement and calculation in various scenarios. Provide examples and practice problems to help students become comfortable with these concepts.
Multiplying Customary Units – Multiplying same type units – When units are alike, multiply the numbers directly, like area calculation. – Using conversion factors – Convert different units to the same type before multiplying, using a conversion table. – Practice: 3 feet x 4 feet – Calculate the area by multiplying length and width in feet to get square feet. | This slide introduces students to the concept of multiplying customary units, focusing on same-type unit multiplication and the use of conversion factors for different units. Start by explaining that when units are the same, such as feet x feet, it’s a straightforward multiplication. Then, discuss the importance of converting units like feet and yards to the same type before multiplying, using conversion tables. For the practice problem, guide students to multiply 3 feet by 4 feet to find the area in square feet. This exercise will help solidify their understanding of unit multiplication and prepare them for more complex problems involving different units.
Dividing Customary Units – Dividing like units (gallons ÷ gallons) – When units are the same, divide the numbers directly. – Using conversion factors (gallons ÷ quarts) – Convert units so they match, then divide. – Practice: 6 gallons ÷ 3 quarts – Convert 3 quarts to gallons, then divide by 6 gallons. | When dividing customary units, if the units are the same, simply divide the numbers as you would with any division problem. However, when the units are different, students must first convert the units to be the same using conversion factors (e.g., 1 gallon = 4 quarts). For the practice problem, convert 3 quarts to gallons (3 quarts = 0.75 gallons) and then divide 6 gallons by 0.75 gallons to find the answer. This slide will help students understand the process of dividing units and the importance of unit conversion in solving division problems with mixed customary units.
Multiplying and Dividing Mixed Customary Units – Understanding mixed units – Mixed units combine different measurements, like feet and inches – Multiplication & division of mixed units – To multiply/divide, first convert to a single unit – Conversion before multiplication – Convert 5’3″ to inches before multiplying – Example: 5 feet 3 inches times 2 – 5’3″ is 63 inches. 63 inches * 2 = 126 inches | This slide introduces students to the concept of mixed customary units, such as feet and inches, and how to work with them in multiplication and division. Start by explaining what mixed units are and why they are used. Then, guide students through the process of converting mixed units to a single unit before performing multiplication or division. Use the example of converting 5 feet 3 inches to all inches (5 * 12 + 3 = 63 inches) and then multiplying by 2 to solidify the concept. Encourage students to practice with additional examples and ensure they understand the importance of conversion before multiplication or division.
Word Problems with Mixed Units – Apply multiplication/division in real-life – Use units like miles/gallons to calculate travel – Read and understand problems – Identify key information and units involved – Solve a sample problem together – We’ll work through a problem as a class – Discuss strategies for solving – Share tips like unit conversion and estimation | This slide aims to teach students how to apply their knowledge of multiplying and dividing mixed customary units to solve word problems, which they may encounter in real-life situations. Emphasize the importance of reading the problem carefully to understand what is being asked and to identify the relevant units and numbers. Work through a sample problem as a class to demonstrate the process, and encourage students to participate in finding the solution. Discuss strategies such as converting units to make calculations easier and estimating answers to check for reasonableness. Provide additional practice problems for students to try on their own, ensuring they get hands-on experience with these concepts.
Class Activity: Measurement Conversion Relay – Form groups for relay activity – Set up measurement stations – Solve conversions at each station – Convert units like inches to feet before moving on – First group to finish wins | This activity is designed to make learning about measurement conversions interactive and fun. Divide the class into small groups, and set up stations around the room with different conversion problems, such as converting inches to feet, ounces to pounds, or gallons to quarts. Each group must solve the problem at their station before moving on to the next. Ensure that each station has a different type of conversion to challenge the students’ understanding of mixed customary units. The first group to correctly complete all stations wins a small prize. This activity encourages teamwork, critical thinking, and practical application of measurement conversion knowledge. Prepare 4-5 different conversion problems at each station to accommodate varying levels of difficulty and ensure that each group faces a unique challenge.
Conclusion: Mastering Measurement Units – Recap: Multiply & divide units – Reviewed how to work with mixed units like feet and inches, pounds and ounces. – Why it’s important for daily life – Understanding units is crucial for cooking, building, and science experiments. – Homework: Conversion worksheet – Practice with real-world problems to convert between different units. | As we conclude today’s lesson, it’s important to emphasize the real-world application of these skills. Whether it’s following a recipe in the kitchen, measuring materials for a DIY project, or calculating scientific data, the ability to multiply and divide mixed customary units is invaluable. For homework, students are assigned a worksheet that includes a variety of problems requiring them to convert between different units. This will reinforce their understanding and ensure they are comfortable with the process. Encourage students to approach the homework with the understanding that these are not just abstract concepts, but skills that can help them in everyday situations.

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