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Common Core: Math
Subject: Math
43 Results

 Student Outcomes Using square roots, students determine the position of the bottom of a ladder as its top slides down a wall at a constant rate.

 Student Outcomes Students know how to compute the average rate of change in the height of water level when water is poured into a conical container at a constant rate.

 Student Outcomes Students know how to determine the volume of a figure composed of combinations of cylinders, cones, and spheres.

 Student Outcomes Students know that truncated cones and pyramids are solids obtained by removing the top portion above a plane parallel to the base. Students find the volume of truncated cones.

 Student Outcomes Students use the Pythagorean Theorem to determine an unknown dimension of a cone or a sphere. Students know that a pyramid is a special type of cone with triangular faces and a...

 Student Outcomes Students apply the Pythagorean Theorem to real world and mathematical problems in two dimensions.

 Student Outcomes Students determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

 Student Outcomes Students explain a proof of the converse of the Pythagorean Theorem. Students apply the theorem and its converse to solve problems.

 Student Outcomes Students know that the Pythagorean Theorem can be interpreted as a statement about the areas of similar geometric figures constructed on the sides of a right triangle. Students...

 Student Outcomes Students know the volume formula for a sphere as it relates to a right circular cylinder with the same diameter and height. Students apply the formula for the volume of a sphere to...

 Student Outcomes Students know the volume formulas for cones and cylinders. Students apply the formulas for volume to realworld and mathematical problems.

 Student Outcomes Students write rules to express functions related to geometry. Students review what they know about volume with respect to rectangular prisms and further develop their conceptual...

 Student Outcomes Students know that a Pythagorean triple can be obtained by multiplying any known triple by a common whole number. Students use this method to generate Pythagorean triples. Students...

 Student Outcomes Students illuminate the converse of the Pythagorean Theorem through computation of examples and counterexamples. Students apply the theorem and its converse to solve problems.

 Student Outcomes Students practice applying the Pythagorean Theorem to find lengths of right triangles in two dimensions.

 Student Outcomes Students use properties of similar triangles to solve realworld problems.

 Student Outcomes Students present informal arguments as to whether or not two triangles are similar. Students practice finding lengths of corresponding sides of similar triangles.

 Student Outcomes Students know an informal proof of the AngleAngle (AA) criterion for similar triangles. Students present informal arguments as to whether or not triangles are similar based on Angle...

 Student Outcomes Students know that similarity is both a symmetric and a transitive relation.

 Student Outcomes Students know the definition of similar and why dilation alone is not enough to determine similarity. Given two similar figures, students describe the sequence of a dilation and a...

 Student Outcomes Students know an informal proof of why dilations are degreepreserving transformations. Students know an informal proof of why dilations map segments to segments, lines to lines, and...

 Student Outcomes Students describe the effect of dilations on twodimensional figures using coordinates.

 Student Outcomes Students verify the converse of the Fundamental Theorem of Similarity experimentally. Students apply the Fundamental Theorem of Similarity to find the location of dilated points on...

 Student Outcomes Students experimentally verify the properties related to the Fundamental Theorem of Similarity (FTS).