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Progressive Mathematics Initiative www.njctl.org Mathematics Curriculum Unit Plan # 7 Title: 2D Geometry Grade Level: 7th Grade Length of Time: 4 weeks Unit Summary: This unit will allow students to solve for area and perimeter of different 2D geometrical shapes. They will calculate the area of rectangles, parallelograms, triangles, trapezoids, circles, irregular figures, and shaded figures. They will also explore special pairs of angles and the relationships they hold. Learning Targets Domain: Geometry Cluster: Draw, construct, and describe geometrical figures and describe the relationships between them. Standard #s: Standards: 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. 7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard #s: Standards: 7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. 7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Domain: Expressions and Equations Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Standard # : Standard: 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Unit Essential Questions: Unit Enduring Understandings: Can we determine is three side lengths would create a triangle? What is difference between area and perimeter? Formulas can be determined and used to calculate the area of both regular and irregular shapes. Unit Objectives: Students will calculate the perimeter of different 2D geometrical figures. Students will calculate the circumference and area of different circles. Students will be able to determine whether a triangle is possible or not. Students will discover special pairs of triangles and the relationships they yield. Students will calculate the area of rectangles, parallelograms, triangles and trapezoids. Students will use previous knowledge of area formulas to calculate the area of irregular and shaded figures. Evidence of Learning Formative Assessments: SMART Response questions used throughout the unit. 6 Quizzes Summative Assessment: Unit Test Lesson Plan Topics Timeframe Topic #1: Determining if a Triangle is Possible Quiz #1 Topic #2: Special Pairs of Angles Quiz #2 Topic #3: Perimeter & Circumference Lab: RAFT – Finding Pi Quiz #3 Topic #4: Area of Rectangles 2 days Topic #5: Area of Parallelograms Quiz #4 Topic #6: Area of Triangles 2 days Topic #7: Area of Trapezoids 1 day Topic #8: Area of Circles Quiz #5 Topic #9: Mixed Review 2 days Topic #10: Area of Irregular Figures 2 day Topic #11: Area of Shaded Regions Quiz #6 Review and Unit Test 2 days Curriculum Resources: https://njctl.org/courses/math/7th-grade/ http://www.raftbayarea.org/ideas/Finding%20Pi.pdf 2 days 2 days 1 day 1 day 1 day 2 days