(M7)Unit-8: 2D Figures Lesson Plan Outline

(M7)Unit-8: 2D Figures Lesson Plan Outline
M7Plus Unit-9: 2D & 3D Geometry CMAPP Days 108 – 126 (Compacted Days 1 – 7 plus 2 ) 2/15/2019 Common Core 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.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 U8Day94-105_LessonPlanOutline_UV

M7Plus Unit-9: 2D-3D Geometry 4/2/13, Tues, Day 1 Polygons Review
(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/2/13, Tues, Day Polygons Review Learning Objective(s) Find the area of triangles, quadrilaterals, and trapezoids and apply this in composite figures U8Day94-105_LessonPlanOutline_UV

(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/2/13, Tues, Day Polygons Review CW/HW Primary - Description Supplemental - Description D108 Area Investigation Review Holt Course 2 Challenge 8-4 Holt Course 2 Challenge 8-5 Perimeter and Area Review powerpoint HOLT Course 2, Chapter 8 resources and Prentice Hall Pre-Algebra Chapter 10 sections 1 and 2 U8Day94-105_LessonPlanOutline_UV

(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/2/13, Tues, Day Polygons Review Exit-Ticket 1) A rectangular playground has an area of 7125 square yards. The width of the playground is 75 yards. What is the length of the playground? A yards B yards C yards 95 yards 2) A square room with an area of 324 square feet is tiled using square tiles with a side length of 1 foot. How many tiles line each wall of the room? a) 17 b) 18 c) 19 d) 20 1) Answer : D. Taken from Buckle Down to the Common Core State Standards Mathematics Grade 7 2) Answer: B U8Day94-105_LessonPlanOutline_UV

M7Plus Unit-9: 2D-3D Geometry 4/3/13, Weds, Day 2 Circles
(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/3/13, Weds, Day Circles Learning Objective(s) Find the area and circumference of a circle as well as apply all area formulas in mixed problems. U8Day94-105_LessonPlanOutline_UV

(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/3/13, Weds, Day Circles Area Formula Derivation If a circle is cut into wedges and laid out as shown, a parallelogram results. Half of an end wedge can be moved to the other end a rectangle results. The height of the rectangle is the same as the radius of the circle. The base length is the circumference (2∏r). The area of the rectangle (and therefore the circle) is found by the following calculations: Arect = Base x Height Area = ½ (2∏r) x r Area = ∏r x r Area = ∏r2 U8Day94-105_LessonPlanOutline_UV

(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/3/13, Weds, Day Circles Exit-Ticket 1) A wheel has a diameter of 28 inches. What is the approximate distance around the outside of the wheel? Use 22/7 for ∏. A. 44 in. B. 88 in. C. 176 in. D. 616 in. 2) The dimensions of a rectangular yard are 24ft by 21ft. You are planting a circular garden that has a radius of 6ft. What is the area of the remaining yard after your garden is planted? Use 3.14 for π. (Inscribed Shapes) a. 504ft2 b ft2 c ft2 d ft2 3) A round clock has a radius of 5 cm. What is the approximate area of the clock? Use 3.14 for ∏. A cm2 B cm2 C cm2 D cm2 3) The correct answer is B. Taken from Buckle Down to the Common Core State Standards Mathematics Grade 7 The correct answer is B. 2) Answer: U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/4/13, Thurs, Day Changing Dimensions/Composite Shapes Learning Objective(s) Solve a variety of problems involving area and perimeter (Composite/Inscribed Shapes, Changing Dimensions). Inscribed Shape: A closed figure drawn inside another closed figure Primary - Description Supplemental - Description D110 INVESTIGATION D110 Martha's Garden D110 Shaded Worksheet D110 Worksheet 1 Changing Dimensions HW HOLT Course 2, Section8-4, 8-5, and 8-6 Prentice Hall Pre Algebra Sections 9-6, 10-1, 10-2, and 10-3 Also see, Changing Dimensions Day 1 Notes Changing Dimensions Day 2 Notes U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/5/13, Fri, Day Composition-Transformations Learning Objective(s) Perform compositions of transformations. How is a glide reflection identified? Which compositions will create congruent figures? Similar figures? composition of transformation A composition of two transformations is a transformation in which a second transformation is performed on the image of a first transformation glide reflection A composition of a translation and a reflection in a line parallel to the direction of the translation U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/5/13, Fri, Day Composition-Transformations CW/HW Primary - Description Supplemental - Description Compositions of transformationsHolt Middle School Math Course 3 section 5-7 Transformations Common Core Investigations 3: Transformations Arrow Activity 1 and Arrow Activity 2 Dilations/Similarity in Coordinate Plane (Mission Possible 2 Team 2) Follow the Path (6th Grade Math Matters 2-40 through 2-45) Table Top Transformations (Mission Possible 3 Team 2 U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/5/13, Fri, Day Composition-Transformations EXIT-TICKET Which of the following descriptions is true for the graph shown? ∆A''B''C'' is a translation of ∆ABC. ∆ A''B''C'' is a glide reflection of ∆ABC. A''B''C'' is a reflection in the origin of ∆ABC A''B''C'' is a dilation with a scale factor of 2 of ∆ABC Correct answer - 2 Taken from Regents Test Prep website U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/8/13, Mon, Day D-Figures, Nets, Cross-Sections Learning Objective(s) Identify 3D-Figures and their Nets and Cross-Sections edge the line segment along which two faces of a polyhedron intersect face a flat surface of a polyhedron polyhedron three-dimensional figure whose surfaces, or faces, are all polygons pyramid a polyhedron that has a polygon base and triangular lateral faces right prism a polyhedron that has two parallel congruent polygon bases and all lateral faces are rectangles. Vertices Cross-Section a point where three or more edges intersect The two-dimensional face that is the result of a three-dimensional shape being intersected by a plane. U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/8/13, Mon, Day D-Figures, Nets, Cross-Sections CW/HW Primary - Description Supplemental - Description solid figure cards net and cubes warm-up sheet More Than One Way to Slice it Cross Sections (Identify 3D-Figures) cross section of a cube (Square Pyramid Cross-Section) (for manipulating figures) U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/8/13, Mon, Day D-Figures, Nets, Cross-Sections Cross-Section (Square Pyramid Example) If the pyramid is cut with a plane (green) parallel to the base, the intersection of the pyramid and the plane is a square cross section (red). If the pyramid is cut with a plane (green) passing through the top vertex and perpendicular to the base, the intersection of the pyramid and the plane is a triangular cross section (red). If the pyramid is cut with a plane (green) perpendicular to the base, but not through the top vertex, the intersection of the pyramid and the plane is a trapezoidal cross section (red). (taken from DPI unpacked document) U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/8/13, Mon, Day D-Figures, Nets, Cross-Sections Exit Ticket 1) How many faces does this figure have? A B C D. 6 2) Maria has 4 congruent isosceles triangles and a square. The sides of the square are congruent to the base of each triangle. What 3-dimensional figure can Maria make using all of these shapes? A. square prism B. square pyramid C. triangular prism D. triangular pyramid 3) For a triangular prism, if you cut a shape parallel to its base, what shape does it take? If you cut a shape perpendicular to its base, what shape does it take 1) Answer: 6 2) Answer: B Question taken from DPI's former 7th Grade Sample Questions, Goal 3 3) Triangle; Rectangle U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/9/13, Tues, Day Surface Area – Prism, Pyramid, Cylinder Learning Objective(s) Find Surface Area of Prisms (Rectangular, Triangular), Pyramids (Rectangular, Square) and Cylinders. Prism A 3D-Figure with two parallel bases that are congruent polygons, and lateral faces that are parallelograms. A prism is named for the shape of its base. Surface Area the sum of the areas of the base(s) and the lateral faces of a space (3D) figure. Triangular Prism Pyramid A prism who bases are triangles A space figure with triangular faces that meet at a vertex, and a base that is a polygon. A pyramid is named for the shape of its base. Essential Questions: 1a) How do you figure out how many square feet of a room need to be painted? (Rectangular Prism) 1b) When would you need to know the SA of a rectangular prism? Why? 2) How much material would it take to make a tent? How do you know? Where would you start to figure it out? (Prism) 3) How much area did the Egyptians cover with brick to make the pyramids? Could you figure this out? If so, how? (Pyramid) 4) What is the difference between a pyramid and a prism? Do we name them differently? How do we name them? What do they look like? Cylinder Definition - add U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/9/13, Tues, Day Surface Area – Prism, Pyramid, Cylinder CW/HW Cylinders SA Surface Area Patterns Surface Area of Cylinder Rectangular Prism Triangular Prism Square Pyramids Exploring Rectangular Prisms Finding Surface Area of Rectangular Prisms Surface Area of Rectangular Prisms Word Problems Surface Area of Triangular Prisms Practice with Surface Area of Triangular Prisms Looking at Right Square Pyramids Wrapping Up Surface Area Extra Practice : Surface area of cylinders U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/9/13, Tues, Day Surface Area – Prism, Pyramid, Cylinder One of the cylinders will be tall and narrow; the other will be short and stout. We will refer to the tall cylinder as cylinder A and the short one as cylinder B. Mark each cylinder now to avoid confusion later. Now pose the following question to the class: "Do you think the two cylinders will hold the same amount? Or will one hold more than the other? If you think that one will hold more, which one will that be?" Have them record their predictions, with an explanation. Place cylinder B in a large flat box with cylinder A inside it. Fill cylinder A. Ask for someone to restate his or her predictions and explanation. With flair, slowly lift cylinder A so that the filler material falls into cylinder B. (You might want to pause partway through, to allow them to think about their answers.) Since the filler material does not fill cylinder B, we can conclude that cylinder B holds more than cylinder A. Ask the class: "Was your prediction correct? Do the two cylinders hold the same amount? Why or why not? Can we explain why they don't?" Make sure students understand how to find the volume of a cylinder before moving on to Guided Practice U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/9/13, Tues, Day Surface Area – Prism, Pyramid, Cylinder Exit Ticket Last time Monica made cookies, she had a lot of left over dough so she froze it. Now, she has a 4.5 inch by 4 inch by 4 inch block of dough. She wants to make giant cookies for her friends. If she is going to use 4 cubic inches of dough for each cookie, how many giant cookies can she make? Yosra's mom is helping her make a tent out of pillow cushions and a sheet. Yosra wants to sleep inside the tent in her sleeping bag. She needs about 5.5 feet to lay down and sleep in and she wants to have a 3 foot base for her triangular opening and she wants the peak to stand about 3 feet tall. How many square feet will the sheet need to cover if Yosra wants the sheet covering the ends of the tent too? U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/10/13, Weds, Day Volume – Prism, Pyramid, Cylinder, Cone, Sphere Learning Objective(s) Find Volume of Prisms (Rectangular, Triangular), Pyramids (Rectangular, Square), Cylinders, Cones and Spheres Volume the number of cubic units needed to fill a 3D-Figure Essential Questions: 1a) How much water will it take to fill a pool? How do you know? 1b) How does the area of the base of a prism affect the volume of a prism? U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/10/13, Weds, Day Volume – Prism, Pyramid, Cylinder, Cone, Sphere CW/HW Rectangular Prism Triangular Prism Square Pyramid Cylinder, Cone Investigating Volume of Rectangular Prisms Breaking down Volume Practicing Surface Area and Volume of Rectangular Prisms Relating Rectangular Prisms and Triangular Prisms Volume of Triangular Prisms Understanding Volume of Right Square Pyramids Reviewing Volume Finding the Volume of a Cone Volume of Cones U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/10/13, Weds, Day Volume – Prism, Pyramid, Cylinder, Cone, Sphere Cylinders and Cones – Volume Formula Derivation Students build on understandings of circles and volume to find the volume of cylinders, finding the area of the base ∏r2 and multiplying by the number of layers (the height) U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/11/13, Thurs, Day Volume – Prism, Pyramid, Cylinder, Cone, Sphere Spheres – Volume Formula Derivation A sphere can be enclosed with a cylinder, which has the same radius and height of the sphere (Note: the height of the cylinder is twice the radius of the sphere). If the sphere is flattened, it will fill of the cylinder. Based on this model, students understand that the volume of a sphere is two-thirds the volume of a cylinder with the same radius and height. The height of the cylinder is the same as the diameter of the sphere or 2r. Using this information, the formula for the volume of the sphere can be derived as shown: U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/11/13, Thurs, Day 8 Volume – Prism, Pyramid, Cylinder, Cone, Sphere Spheres – CW/HW Primary - Description Supplemental - Description Volume of a sphere Glasses (from Illustrative Mathematics - found at website)) HOLT Course 2 Section 9-3 Sphere A perfectly round 3-D figure U8Day94-105_LessonPlanOutline_UV

2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/11/13, Thurs, Day Volume – Prism, Pyramid, Cylinder, Cone, Sphere Exit-Ticket SA of Cube = 96 in2. Volume of Cube = ? Show why (D) is the correct answer. Solution: The area of each face of the cube is equal. Dividing 96 by 6 gives an area of 16 in2 for each face. Because each face is a square, the length of the edge would be 4 in. The volume could then be found by multiplying 4 x 4 x 4 or 64 in3. 2) Show work ….. U8Day94-105_LessonPlanOutline_UV

M7Plus Unit-9: 2D-3D Geometry 4/12/13, Fri, Day 9 Review/Assessment
(M7)Unit-8: 2D Figures Lesson Plan Outline 2/15/2019 M7Plus Unit-9: 2D-3D Geometry 4/12/13, Fri, Day Review/Assessment Learning Objective(s) Review and Show mastery of concepts and skills in problem-solving for area/perimeter/SA/Volume of 2D-figures/3D-Figures Primary - Description Supplemental - Description Jeopardy review game N/A Need to create an assessment U8Day94-105_LessonPlanOutline_UV

(M7)Unit-8: 2D Figures Lesson Plan Outline

Similar presentations

Presentation on theme: "(M7)Unit-8: 2D Figures Lesson Plan Outline"— Presentation transcript:

Similar presentations

About project

Feedback

Log in

Auth with social network:

(M7)Unit-8: 2D Figures Lesson Plan Outline

Similar presentations

Presentation on theme: "(M7)Unit-8: 2D Figures Lesson Plan Outline"— Presentation transcript:

Similar presentations

About project

Feedback