HCBE MATH 8

Students develop the concept of transformations and the effects that each type of transformation has on an object by exploring the relationship between the original figure and its image in regards to their corresponding parts being moved an equal distance which leads to concept of congruence of figures. They learn to describe transformations with both words and numbers. Students relate rigid motions to the concept of symmetry and use them to prove congruence or similarity of two figures. They physically manipulate figures to discover properties of similar and congruent figures; and focus on the sum of the angles of a triangle and use it to find the measures of angles formed by transversals (especially with parallel lines), find the measures of exterior angles of triangles, and to informally prove congruence... Students understand the statement of the Pythagorean Theorem and its converse, and can explain why the Pythagorean Theorem holds, for example, by decomposing a square in two..