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Exploring Our World through Geometry Planning Calendar Each Day represents a 45-minute class period Day 1 Day 2 Day 3 Day 4 Lesson 1: For Bigger or Smaller Lesson 1: For Bigger or Smaller Lesson 1: For Bigger or Smaller Lesson 1: For Bigger or Smaller F.Q. What occurs mathematically F.Q. What occurs mathematically F.Q. What occurs mathematically F.Q. What occurs mathematically when something is enlarged or reduced on a copy machine? How do architects draw things that are very large or very small so construction companies can build them accurately? Do architects use the same scale factor for every blueprint they create? Why are scale drawings necessary? when something is enlarged or reduced on a copy machine? How do architects draw things that are very large or very small so construction companies can build them accurately? Do architects use the same scale factor for every blueprint they create? Why are scale drawings necessary? when something is enlarged or reduced on a copy machine? How do architects draw things that are very large or very small so construction companies can build them accurately? Do architects use the same scale factor for every blueprint they create? Why are scale drawings necessary? when something is enlarged or reduced on a copy machine? How do architects draw things that are very large or very small so construction companies can build them accurately? Do architects use the same scale factor for every blueprint they create? Why are scale drawings necessary? Mathematical Practices: 1, 4, 8 Mathematical Practices: 1, 4, 8 Mathematical Practices: 1, 4, 8 Mathematical Practices: 1, 4, 8 Day 5 Lesson 1: For Bigger or Smaller Day 6 Day 7 Lesson 2: How Many Triangles? Day 8 Lesson 2: How Many Triangles? Lesson 2: How Many Triangles? F.Q. What occurs mathematically F.Q.: Why is it possible that some when something is enlarged or reduced on a copy machine? How do architects draw things groups of three segments form a triangle, while other groups of three segments do not form a F.Q.: Why is it possible that some F.Q.: Why is it possible that some groups of three segments form a triangle, while other groups of groups of three segments form a triangle, while other groups of three segments do not form a that are very large or very small so construction companies can build them accurately? Do architects use the same scale factor for every blueprint they create? Why are scale drawings necessary? triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? three segments do not form a triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? Mathematical Practices:1, 2, 3, 8 triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? Mathematical Practices:1, 2, 3, 8 Mathematical Practices:1, 2, 3, 8 Mathematical Practices: 1, 4, 8 Day 9 Day 10 Day 11 Day 12 Lesson 2: How Many Triangles? Lesson 2: How Many Triangles? Lesson 2: How Many Triangles? Lesson 2: How Many Triangles? F.Q.: Why is it possible that some F.Q.: Why is it possible that some F.Q.: Why is it possible that some F.Q.: Why is it possible that some groups of three segments form a triangle, while other groups of three segments do not form a triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? groups of three segments form a triangle, while other groups of three segments do not form a triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? groups of three segments form a triangle, while other groups of three segments do not form a triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? groups of three segments form a triangle, while other groups of three segments do not form a triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? Mathematical Practices:1, 2, 3, 8 Mathematical Practices:1, 2, 3, 8 Mathematical Practices:1, 2, 3, 8 Mathematical Practices:1, 2, 3, 8 Day 13 Day 14 Day 15 Day 16 Lesson 2: How Many Triangles? F.Q.: Why is it possible that some groups of three segments form a triangle, while other groups of three segments do not form a triangle? How can you construct a triangle with given conditions? What is the relationship between angles and sides of a triangle? Lesson 3: Slicing It Up! Lesson 3: Slicing It Up! Lesson 3: Slicing It Up! F.Q. What happens when we cut F.Q. What happens when we cut F.Q. What happens when we cut horizontally and vertically through sections of geometric solids? What two – dimensional shapes will develop from these cross sections? horizontally and vertically through sections of geometric solids? What two – dimensional shapes will develop from these cross sections? horizontally and vertically through sections of geometric solids? What two – dimensional shapes will develop from these cross sections? Mathematical Practices: 1, 7 Mathematical Practices: 1, 7 Mathematical Practices: 1, 7 Mathematical Practices:1, 2, 3, 8 Day 17 Lesson 4: Easy as Pie? F.Q. How did mathematics from long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? Mathematical Practices: 1, 3, 5, 8 Day 18 Day 19 Lesson 4: Easy as Pie? Lesson 4: Easy as Pie? F.Q. How did mathematics from F.Q. How did mathematics from long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? Mathematical Practices: 1, 3, 5, 8 Mathematical Practices: 1, 3, 5, 8 Day 20 Lesson 4: Easy as Pie? F.Q. How did mathematics from long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? Mathematical Practices: 1, 3, 5, 8 Day 21 Day 22 Day 23 Day 24 Lesson 4: Easy as Pie? Lesson 4: Easy as Pie? Lesson 4: Easy as Pie? Lesson 4: Easy as Pie? F.Q. How did mathematics from F.Q. How did mathematics from F.Q. How did mathematics from F.Q. How did mathematics from long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? long ago help to make new discoveries? Can you use the area of a circle to find the circumference? Can you use the circumference of a circle to find the area? Mathematical Practices: 1, 3, 5, 8 Mathematical Practices: 1, 3, 5, 8 Mathematical Practices: 1, 3, 5, 8 Mathematical Practices: 1, 3, 5, 8 Day 25 Day 26 Day 27 Day 28 Lesson 5: Tangled Up in Angles Lesson 5: Tangled Up in Angles Lesson 5: Tangled Up in Angles Lesson 5: Tangled Up in Angles F.Q. What relationships can be F.Q. What relationships can be F.Q. What relationships can be F.Q. What relationships can be determined by the angles formed when parallel lines are cut by a transversal? determined by the angles formed when parallel lines are cut by a transversal? determined by the angles formed when parallel lines are cut by a transversal? determined by the angles formed when parallel lines are cut by a transversal? Mathematical Practices: 1, 2, 6, 8 Mathematical Practices: 1, 2, 6, 8 Mathematical Practices: 1, 2, 6, 8 Mathematical Practices: 1, 2, 6, 8 Day 29 Day 30 Day 31 Day 32 Lesson 5: Tangled Up in Angles Lesson 5: Tangled Up in Angles F.Q. What relationships can be F.Q. What relationships can be determined by the angles formed when parallel lines are cut by a transversal? determined by the angles formed when parallel lines are cut by a transversal? Mathematical Practices: 1, 2, 6, 8 Mathematical Practices: 1, 2, 6, 8 Day 33 Day 34 Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement F.Q. What is the difference F.Q. What is the difference between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Day 35 Day 36 Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement F.Q. What is the difference F.Q. What is the difference F.Q. What is the difference F.Q. What is the difference between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Day 37 Day 38 Day 39 Day 40 Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement Lesson 6: Many Faces of Measurement F.Q. What is the difference F.Q. What is the difference F.Q. What is the difference F.Q. What is the difference between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Mathematical Practices: 1, 6, 8 Day 41 Lesson 6: Many Faces of Measurement Day 42 Day 43 Lesson 6: Many Faces of Measurement F.Q. What is the difference F.Q. What is the difference between area and surface area? What is the relationship between surface area and volume? between area and surface area? What is the relationship between surface area and volume? Capstone: Unit 4 Capstone: Unit 4 F.Q. How is geometry used F.Q. How is geometry used everyday? How is it useful to me? everyday? How is it useful to me? Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 6, 8 Day 45 Day 44 Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 6, 8 Day 46 Day 47 Day 48 Capstone: Unit 4 Capstone: Unit 4 Capstone: Unit 4 Capstone: Unit 4 F.Q. How is geometry used F.Q. How is geometry used F.Q. How is geometry used F.Q. How is geometry used everyday? How is it useful to me? everyday? How is it useful to me? everyday? How is it useful to me? everyday? How is it useful to me? Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 4, 6 Day 49 Capstone: Unit 4 Mathematical Practices: 1, 4, 6 Day 50 Capstone: Unit 4 F.Q. How is geometry used Day 51 Capstone: Unit 4 F.Q. How is geometry used everyday? How is it useful to me? everyday? How is it useful to me? F.Q. How is geometry used Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 4, 6 Day 53 Mathematical Practices: 1, 4, 6 Day 54 Mathematical Practices: 1, 4, 6 Day 52 Capstone: Unit 4 F.Q. How is geometry used everyday? How is it useful to me? everyday? How is it useful to me? Day 55 Mathematical Practices: 1, 4, 6 Day 56 Capstone: Unit 4 Capstone: Unit 4 Capstone: Unit 4 Capstone: Unit 4 F.Q. How is geometry used F.Q. How is geometry used F.Q. How is geometry used F.Q. How is geometry used everyday? How is it useful to me? everyday? How is it useful to me? everyday? How is it useful to me? everyday? How is it useful to me? Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 4, 6 Mathematical Practices: 1, 4, 6