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Guide Author |
Jena Greig |
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District |
Pine City High School, District 578 |
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Date Created |
06/08/11 |
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Guide Description |
Using the Geometry and Measurement Standards, students will increase their knowledge of the properties of circles. Introductory: Students will use rulers to measure the diameter to find the area or circumference of the circle in the picture. Reinforce: Students will use the introductory level knowledge of circles along with using problem solving to reinforce pre-learned concepts of circles. If a spoke on a wheel breaks, at what length should I cut a new spoke? Students can also apply their knowledge of circles to partial arches within the picture. What is the degree and arc length of the wheel that you can see in the picture? Mastery: Students will use the reinforcement level knowledge and apply scale factors by measuring the people in the picture, themselves, and the circle in the picture to create the real-life measurements. These measurements can be used to compare the measurements of similar figures today. |
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Title of Main Academic Standard used in Guide |
Minnesota K-12 Academic Standards in Mathematics (2007) |
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Grade Level |
9-12 |
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Learning Level |
Reinforce |
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National Holiday/Special Occasion (optional) |
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Source Format Emphasized |
Photographs |
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Geographic Region Emphasized (optional) |
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Other Minnesota Reflections Guide(s) Related to this Guide (optional) |
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Standard Title |
Minnesota K-12 Academic Standards in Mathematics (2007) |
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Category |
Mathematics 9-12 |
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Strand |
Geometry and Measurement |
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Sub-strand |
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Standard |
Know and apply properties of geometric figures to solve real-world and mathematical problems and to logically justify results in geometry. |
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Benchmark 1: standard number |
9.3.3.6 |
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Benchmark 1: text |
Know and apply properties of congruent and similar figures to solve problems and logically justify results. |
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Benchmark 2: standard number |
9.3.3.8 |
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Benchmark 2: text |
Know and apply properties of a circle to solve problems and logically justify results. |
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Benchmark 3: standard number |
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Benchmark 3: text |
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Benchmark 4: standard number |
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Benchmark 4: text |
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Standard Title |
Minnesota K-12 Academic Standards in Mathematics (2007) |
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Category |
Mathematics 9-12 |
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Strand |
Geometry |
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Sub-strand |
Geometry and Measurement |
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Standard |
Calculate measurements of plane and solid geometric figures; know that physical measurements depend on the choice of a unit and that they are approximations. |
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Benchmark 1: standard number |
9.3.1.1 |
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Benchmark 1: text |
Determine the surface area and volume of pyramids, cones and spheres. Use measuring devices or formulas as appropriate. |
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Benchmark 2: standard number |
9.3.1.2 |
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Benchmark 2: text |
Compose and decompose two- and three-dimensional figures; use decomposition to determine the perimeter, area, surface area and volume of various figures. |
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Benchmark 3: standard number |
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Benchmark 3: text |
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Benchmark 4: standard number |
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Benchmark 4: text |
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Reading: standard number |
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Reading: standard text |
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Math: standard number |
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Math: standard text |
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Media Literacy: standard number |
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Media Literacy: standard text |
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Interdisciplinary Connection |
Industrial Technology, Art |
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Things to Think About |
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Keywords |
cars, trucks, automobile, wagon, tires, fire, church, water tower, windows |
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Other ideas (to assist with discovery) |
Collections to consider: Baptist General Conference History Center Luther Seminary Archives Norseland Lutheran Church St. Benedict's Monastery St. Scholastica Monastery Topics to consider: Agriculture, Animals, Religion, Transportation, |
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Challenges to finding resources on this standard |
1. Sifting through so many buildings that are not churches when you search church directly. 2. Search Truck: Fire truck comes up so often even when there is no photograph of a fire "truck" in the photo. |
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Title |
Date created |
Description |
Format (photo, map, letter …) |
"Cite the Item" link |
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Church in Winona |
1880 |
Use the church window and arches. |
Photo |
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Old Winona High School |
1985-1890 |
Photo |
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Geist Gazebo |
1885 |
Use the Gazebo as a Circle and you can measure the arc length and sector area between posts |
Photo |
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Howard Huntley |
Use the wheels, steering wheel, lights, and her hat to measure. |
Photo |
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Blacksmith Shop |
1888 |
Use the windmill, wagon and bike wheels to compare and contrast. |
Photo |
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Dreveskraght Land Office, Morris, Minnesota |
1910 |
Compare and Contrast the wheel of the car and wagon. |
Photo |
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Use the wheel of the wagon. |
Photo |
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1895 |
Photo |
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1911 |
Use the wheel of the trucks, the hose, pant legs. |
Photo |
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People (look for fire or automobiles, fire), Animals (look for wagons), Arts and Architecture (look for cars, windows water towers, windmills), Religion (church, windows) |
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For lesson plans,geometry teachers could use the circles in these pictures to find the radius, circumference, diameter, area, and the volume of spheres, cylinders, and cones. For beginning level you can assign a radius and have the students find the circumference of the tire. To increase the level of difficulty, you can have them determine how many rotations it would take that particular tire to travel 1 mile, versus tires used today. You could find the surface area of the tire and compare it with tires today. There are also many partial circles in these pictures, students could measure the length of the arches in the pictures and use that to work backwards to find out about the circle as a whole. |