Unit 1
Making Relevant connections with geometry
IN THIS UNIT, STUDENTS WILL BE EXPECTED TO:
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learning objectives
7.GSR.5 Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms.
7.GSR.5.1 Measure angles in whole nonstandard units.
7.GSR.5.3 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.
7.GSR.5.4 Explore and describe the relationship between pi, radius, diameter, circumference, and area of a circle to derive the formulas for the circumference and area of a circle.
7.GSR.5.5 Given the formula for the area and circumference of a circle, solve problems that exist in everyday life.
7.GSR.5.6 Solve realistic problems involving surface area of right prisms and cylinders.
7.GSR.5.7 Describe the two-dimensional figures (cross sections) that result from slicing three-dimensional figures, as in the plane sections of right rectangular prisms, right rectangular pyramids, cones, cylinders, and spheres.
7.GSR.5.8 Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.
7.PAR.4.6 Solve everyday problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
7.GSR.5.1 Measure angles in whole nonstandard units.
7.GSR.5.3 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.
7.GSR.5.4 Explore and describe the relationship between pi, radius, diameter, circumference, and area of a circle to derive the formulas for the circumference and area of a circle.
7.GSR.5.5 Given the formula for the area and circumference of a circle, solve problems that exist in everyday life.
7.GSR.5.6 Solve realistic problems involving surface area of right prisms and cylinders.
7.GSR.5.7 Describe the two-dimensional figures (cross sections) that result from slicing three-dimensional figures, as in the plane sections of right rectangular prisms, right rectangular pyramids, cones, cylinders, and spheres.
7.GSR.5.8 Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.
7.PAR.4.6 Solve everyday problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
learning target
- I can measure angles using non-standard units.
- I can use a 180° protractor to draw or measure an angle to the nearest whole degree.
- I can identify special angle relationships – complimentary, supplementary, vertical, adjacent.
- I can use what I know about complimentary, supplementary, vertical, and adjacent angles to find missing angle measures.
- I can find missing angle measures when given expressions for angle measures.
- When given a circle, I can identify its radius and diameter including when given one of the two.
- I can describe the relationship between circumference and diameter to find pi.
- Given the formula, I can find the area of a circle in realistic scenarios.
- Given the formula, I can find the circumference of a circle in realistic scenarios.
- Given the circumference of a circle, I can find the diameter and the radius.
- I can solve multi-step realistic problems involving surface areas of prisms with triangles, rectangles, and other polygons as bases.
- I can solve multi-step realistic problems involving surface areas of cylinders with the understanding that it is the sum of circular bases and a rectangular lateral face.
- I can describe resulting 2D shape after a vertical or horizontal slice of three-dimensional figures.
- I can solve realistic problems involving volume of right prisms and cylinders by finding the area of the base multiplied the height.
- Given the formula, I can solve realistic problems involving volume of cones and spheres.
- Given the volume, I can solve for an unknown dimension of the figure and express the answer in terms of pi and as a decimal approximation.
- I can set up proportions to solve for scale drawings.
- I can identify the scale factor from a model figure to an actual figure.
- I can reproduce a scale drawing using the scale factor.
- I can identify which angles are congruent and which sides are proportional when given a similarity statement.
- I can measure angles and sides to determine if they are proportional.