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Math
Virginia Math
Grade 8: Measurement and Geometry
Identify and describe the relationship between pairs of angles that are vertical, adjacent, supplementary, and complementary.
- Angle relationships with parallel lines
- Angles in a triangle sum to 180° proof
- Angles, parallel lines, & transversals
- Equation practice with angle addition
- Finding angle measures using triangles
- Isosceles & equilateral triangles problems
- Missing angles with a transversal
- Triangle angle challenge problem
- Triangle exterior angle example
- Worked example: Triangle angles (diagram)
- Worked example: Triangle angles (intersecting lines)
Use the relationships among supplementary, complementary, vertical, and adjacent angles to solve problems, including those in context, involving the measure of unknown angles.
- Angle relationships with parallel lines
- Angles in a triangle sum to 180° proof
- Angles, parallel lines, & transversals
- Equation practice with angle addition
- Finding angle measures using triangles
- Isosceles & equilateral triangles problems
- Triangle angle challenge problem
- Triangle exterior angle example
- Worked example: Triangle angles (diagram)
- Worked example: Triangle angles (intersecting lines)
Determine the surface area of square-based pyramids by using concrete objects, nets, diagrams, and formulas.
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Determine the volume of cones and square-based pyramids, using concrete objects, diagrams, and formulas.
Examine and explain the relationship between the volume of cones and cylinders, and the volume of rectangular prisms and square based pyramids.
Solve problems in context involving volume of cones and square-based pyramids and the surface area of square-based pyramids.
Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon that has been translated vertically, horizontally, or a combination of both.
Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon that has been reflected over the 𝑥- or 𝑦-axis.
Given a preimage in the coordinate plane, identify the coordinates of the image of a polygon that has been translated and reflected over the 𝑥- or 𝑦-axis or reflected over the 𝑥- or 𝑦-axis and then translated.
Sketch the image of a polygon that has been translated vertically, horizontally, or a combination of both.
Sketch the image of a polygon that has been reflected over the 𝑥- or 𝑦-axis.
Sketch the image of a polygon that has been translated and reflected over the 𝑥- or 𝑦-axis, or reflected over the 𝑥- or 𝑦-axis and then translated.
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Identify and describe transformations in context (e.g., tiling, fabric, wallpaper designs, art).
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Verify the Pythagorean Theorem using diagrams, concrete materials, and measurement.
Determine whether a triangle is a right triangle given the measures of its three sides.
Identify the parts of a right triangle (the hypotenuse and the legs) given figures in various orientations.
Determine the measure of a side of a right triangle, given the measures of the other two sides.
- Intro to the Pythagorean theorem
- Pythagorean theorem example
- Pythagorean theorem in 3D
- Pythagorean theorem in 3D
- Pythagorean theorem intro problems
- Pythagorean theorem with isosceles triangle
- Pythagorean theorem word problem: carpet
- Pythagorean theorem word problem: fishing boat
- Pythagorean theorem word problems
- Use area of squares to visualize Pythagorean theorem
- Use Pythagorean theorem to find area of an isosceles triangle
- Use Pythagorean theorem to find isosceles triangle side lengths
- Use Pythagorean theorem to find perimeter
- Use Pythagorean theorem to find right triangle side lengths
Apply the Pythagorean Theorem, and its converse, to solve problems involving right triangles in context.
Subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, circles, and semicircles. Determine the area of subdivisions and combine to determine the area of the composite plane figure.
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Subdivide a plane figure into triangles, rectangles, squares, trapezoids, parallelograms, and semicircles. Use the attributes of the subdivisions to determine the perimeter of the composite plane figure.
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Apply perimeter, circumference, and area formulas to solve contextual problems involving composite plane figures.
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