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Math
Oklahoma Math
Seventh Grade (7): Geometry & Measurement (GM)
Recognize that the surface area of a rectangular prism can be found by finding the area of each component of the net of that figure. Know that rectangular prisms of different dimensions can have the same surface area.
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Using a variety of tools and strategies, develop the concept that surface area of a rectangular prism can be found by wrapping the figure with same-sized square units without gaps or overlap. Use appropriate measurements (e.g., cm^2).
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Using a variety of tools and strategies, develop the concept that the volume of rectangular prisms can be found by counting the total number of same-sized unit cubes that fill a shape without gaps or overlaps. Use appropriate measurements (e.g., cm^3).
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Develop and use the formula to determine the area of a trapezoid.
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Find the area and perimeter of composite figures.
Solve problems that require the conversion of weights and capacities within the same measurement systems using appropriate units.
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Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is pi (𝜋) and can be approximated by rational numbers such as 22/7 and 3.14.
Calculate the circumference and area of circles to solve problems in various contexts, in terms of pi (𝜋) and using approximations for pi (𝜋).
- Area and circumference of circles challenge
- Area of a circle
- Area of a circle
- Area of circles review
- Area of parts of circles
- Circumference and rotations
- Circumference of a circle
- Circumference of parts of circles
- Circumference review
- Finding circumference of a circle when given the area
- Partial circle area and arc length
- Radius, diameter, & circumference
- Radius, diameter, circumference & π
- Shaded areas
Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors resulting from dilations.
Apply proportions, ratios, and scale factors to solve problems involving scale drawings and to determine side lengths and areas of similar triangles and rectangles.
- Construct scale drawings
- Creating scale drawings
- Identify scale copies
- Identifying scale copies
- Identifying scale factor in drawings
- Identifying values in scale copies
- Interpret scale factor in scale drawings
- Interpreting a scale drawing
- Interpreting scale factors in drawings
- Is side length & perimeter proportional?
- Proportional relationships
- Relate scale drawings to area
- Scale copies
- Scale drawing word problems
- Scale drawing: centimeters to kilometers
- Scale drawings
- Scale drawings
- Scale factors and area
- Solving a scale drawing word problem
Graph and describe translations (with directional and algebraic instructions), reflections across the x- and y-axes, and rotations in 90° increments about the origin of figures on a coordinate plane, and determine the coordinates of the vertices of a figure after a transformation.
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