The instructional focus in this unit is to extend students’ understanding of basic concepts of geometry. Students extend their ability to recognize geometric properties of figures to being able to identify relationships among those properties. These properties include parallel, perpendicular, intersecting, and skew line relationships and congruent and supplementary angle relationships in geometric figures.
Students construct basic elements of geometric figures and verify their constructions using geometric properties. The construction tools that students use include a compass and a straightedge. Constructions include congruent angles, congruent segments, angle bisectors, perpendicular bisectors, and parallel lines.
Students also define and identify the angles formed by two lines cut by a transversal and the angles formed by two parallel lines cut by a transversal. Students apply the congruent and supplementary relationships among these angles to determine angle measures. Students explore the rigidity of polygons and the application of this property in building structures.
Students also investigate the differences between congruent and similar figures. These investigations include using constructions to show that two triangles are congruent when all three corresponding sides are congruent and using drawings to show that two triangles are similar, but not necessarily congruent, when all three corresponding angles are congruent. Students identify and apply properties of corresponding parts of congruent and similar figures.
Unit 3 is typically a four-week unit taught in December.
Unit 3 Standards for Math 7 (Math B)(PDF)
Explanation of what your child should understand by the end of each unit (enduring understandings), how he/she will get to that understanding (essential questions), and how he/she will be evaluated (indicators).
Unit 3 Content map for Math 7 (Math B) (PDF)
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