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Day 10: Geometry Assessment and Perimeter Problems Cluster: Emphasized Standards for Mathematical Geometric measurement: recognize perimeter as an attribute of Practice: plane figures and distinguish between linear and area measures. 3. Construct viable arguments and critique the 3.MD.8 Solve real world and mathematical problems involving reasoning of others perimeters of polygons, including finding the perimeter given the 4. Model with mathematics side lengths, finding an unknown side length, and exhibiting 6. Attend to precision. rectangles with the same perimeter and different areas or with the 7. Look for and make use of structure. same area and different perimeters. Mathematical Goal: Students will solve real-world and complex geometric perimeter problems by applying geometric and measurement concepts. Materials: Perimeter Problems- 1 copy of each for each partner pair. (Remember, these lessons are an introduction into perimeter More work with perimeter will come later in the year.) Words that you should hear students using in mathematical conversations: Polygons perimeter a ttribute sides sum length triangle, quadrilateral, pentagon, hexagon, octagon, Ten Minute Math: None today Before: Have students get into pairs and solve the 4 perimeter puzzler problems. Remember, more work with perimeter will come later in the year. During: Students solve Perimeter Challenge Problems with a partner (find missing sides and the perimeter when it is not given). Give students time to complete the geometry assessment independently (approximately 25 minutes). After: Have students share strategies for solving some of the Perimeter Challenge Problems. Focus on how students used understanding of measuring perimeter and knowledge about shapes to solve each of the problems. Evaluation: Geometry-Assessment 3rd Grade Geometry Mini-Assessment Name:__________________________. 1. Complete the table below Which shapes above Which shapes above belong to the group “all belongs to the group “all sides are the same length?” sides are different lengths?” Which shapes above have OPPOSITE sides that are the same length? 2. Find a shape in the table above that appears in more than 2 categories. Justify why that shape belongs in both of the categories. 3. Complete this sentence; the shapes above are all __________________________________ because_____________________________________________________________________ 4. Draw 2 examples for each category in the table below. Square Rhombus Rectangle A quadrilateral that is NOT a square, rhombus, or rectangle. 5. Gwen says that ALL rectangles belong in the group “some square corners.” Lea says that all rectangles belong in the group “all square corners.” Who is correct AND WHY? 6. Which attributes do rhombuses and squares have in common (Use the list of attributes in the Attribute bank) Attribute Bank All sides that are the same length (congruent) 2 sides the same length 4 square corners 4 sides and 4 angles All angles are congruent (the same) 2 angles are the same PERIMETER PUZZLERS #1 Adam walked across the front of a square-shaped yard. He walked 36 feet. If Adam were to walk the perimeter of the yard, how far would he walk? Explain how you know. PERIMETER PUZZLERS #2 All of the short sides on this figure are the same length. What is the perimeter of this figure? 25 cm PERIMETER PUZZLERS #3 The perimeter of this rectangle is 68 units. What is the length of the unlabeled sides? 50 units _____ Units _____ units 50 units PERIMETER PUZZLERS #4 I am a quadrilateral with four square corners (right angles). All of my sides are 8 units long. Draw the shape and label the length of each side. What’s my shape called:____________ What’s my perimeter? _____________ Name:______________________ ADDITIONAL RESOURCES YOU MAY WANT TO INCORPORATE INTO THIS UNIT: Square Disguise Exit Ticket This shape thinks she looks just like a parallelogram. What are the attributes of a parallelogram? Do you agree that this shape is a parallelogram? Name:______________________ Square Disguise Exit Ticket This shape thinks she looks just like a parallelogram. What are the attributes of a parallelogram? Do you agree that this shape is a parallelogram? Name:_________________________