MAthematics at work 10 length and area Measurement
Specific Curriculum Outcomes
M01 Students will be expected to demonstrate an understanding of the International System of Units (SI) by describing the relationships of the units for length, area, volume, capacity, mass, and temperature and applying strategies to convert SI units to imperial units.
M02 Students will be expected to demonstrate an understanding of the imperial system by describing the relationships of the units for length, area, volume, capacity, mass and temperature, comparing the American and British imperial units for capacity and applying strategies to convert imperial units to SI units.
M03 Students will be expected to solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.
M04 Students will be expected to solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.
A01 Students will be expected to solve problems that require the manipulation and application of formulas related to perimeter, area, the Pythagorean theorem, primary trigonometric ratios, and income.
M01 Students will be expected to demonstrate an understanding of the International System of Units (SI) by describing the relationships of the units for length, area, volume, capacity, mass, and temperature and applying strategies to convert SI units to imperial units.
M02 Students will be expected to demonstrate an understanding of the imperial system by describing the relationships of the units for length, area, volume, capacity, mass and temperature, comparing the American and British imperial units for capacity and applying strategies to convert imperial units to SI units.
M03 Students will be expected to solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.
M04 Students will be expected to solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.
A01 Students will be expected to solve problems that require the manipulation and application of formulas related to perimeter, area, the Pythagorean theorem, primary trigonometric ratios, and income.
M01, M02 and M03 Activities
- Measurement Esti-Mysteries from Erick Lee - A math routine for estimation. These esti-mysteries are focused on metric measurements.
- Mail Call! from Erick Lee - Measuring a package to determine how much it will cost to mail.
- The Art of Deciding, or Would You Drive Under the Overpass from Tracy Zager - A lovely conversation about clearance. If a sign says that there is clearance of 9' 6" for a car, does that mean if your truck is 9’5″, you could drive underneath? How sure are you about those measurements? All measurements are approximations. A link to a great video showing the dangers of not reading clearance signs. Where have you seen clearance signs around your town? Parking garages, drive-throughs, overpasses... Also an Estimation 180 on clearance height.
- Imperial vs Metric System from Orange County Choppers video - A video showing how confusing the imperial system can be and the benefits of the metric system. You might also watch a video about the Gimli Glider to talk about the hazards of mixing imperial and metric system.
- The Ruler Game - Use this game to improve your ruler reading skills. After you click on the button that says, "Start New Game," the name of a measurement will appear in the text box labeled, "Click on:." As soon as you see the measurement appear, click on the corresponding measurement on the ruler at the top of the screen. You can turn off the timer if you'd like and change other settings as well.
- How to Find Measurements Without Math video from Tom Silva of This Old House - Tom describes two different methods to find half of a measurement on an imperial measuring tape. Ask students how they can be confident that each method works? Why do they work?
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M04 and A01 Activities
- File Cabinet from Andrew Stadel - How many post-it notes will it take to completely cover Mr. Stadel's file cabinet?
- Stained Glass Activity from Illustrative Mathematics - The students in Mr. Rivera's art class are designing a stained-glass window to hang in the school entryway. Will they have enough money? Students could create their own stained glass picture as an extension and then calculate its cost.