1. The common properties of polygons are multi-sided straight lines, closed (no interception), 2D shapes. Some have more or less sides than others and different angle types. For example, a parallelogram, a hexagon, and a triangle all have no interceptions, straight sides and different angles.
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| Polygons |
2. The measure of degrees in an angle tells me that the angle is acute, right, obtuse or reflex. An acute angle is 1˚ to 89˚ and an obtuse and is 91˚-179˚. 90˚ is a right angle so an acute or obtuse can't be. and an obtuse and can't be 180˚ because that is reflex. Reflex can't be more than 359˚ because 360˚ is a full rotation.
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| Different angles based on degree |
3. Some of the common angles are acute, right and obtuse. They are common because more angles are acute, right or obtuse angles other than a reflex angle which isn't so common.
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| Common angles |
4. Some strategies to estimate angle measures are seeing if it is acute, right or obtuse, See if it is 45˚ or half of 90˚, you can also see if the angle is about 1/3 or 2/3 of 90˚, or 30˚ and 60˚. If the angle is obtuse do the measurement for acute but add 90˚ for the right angle.
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| Two example: acute and obtuse |
5. To find accurate measurements with a protractor, I should first line up the middle variable to a different variable using the line given on the protractor. Then I should use the last variable to middle variable line to see what number the the line is lined up with on the protractor.
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| Protractor measuring acute angle |
Exemplary Question
Write one set of directions to construct a polygon that is satisfied by two shapes.
1. 4 sides
2. All sides are straight
3. All angles are 90˚
4. No intersections
