Geometric patterns and relationships are used to solve problems in everyday life. Visualization, spatial reasoning, and geometric modeling are used in such varied fields as architectural planning and computer graphic design. Geometric concepts reinforce learning of other mathematical concepts as students apply formulas in authentic situations.
In this unit, students use the proportional attributes of geometric figures to explore transformations and constructions. They extend prior knowledge of similarity as they develop an understanding of dilations and scale factors as well as indirect measurement. Students apply and build upon knowledge of geometric relationships and properties to construct parallel and perpendicular lines, triangles, and rectangles.
Knowledge of geometric patterns and relationships provides a foundation for understanding measurement. Students extend their knowledge of geometric relationships to find measures of interior and exterior angles of polygons and to investigate the Pythagorean Theorem. Students explore the relationships between two- and three-dimensional figures. By recognizing the patterns and relationships in length, area, and volume of geometric figures, students have a clear understanding of the development and use of area and volume formulas and are equipped to strategize in problem solving.
Instructional flow (PDF)
Unit 3 Standards for Investigations into Mathematics (IM)(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).
Content map for IM Unit 3 (PDF)
| Unit 1 | Unit 2 | Unit 3 | Unit 4 | Unit 5 | Unit 6 | Unit 7 |