Subject: - currituck.k12.nc.us



|Subject: Math |Timeframe Needed for Completion: 8 weeks |

|Grade Level: 7 | |

|Big Idea/Theme: Measurement and Geometry |Grading Period: 3rd/4th 9 wks. |

|Unit 4 Title: Shape it up! |

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|Understandings: |

|How scale drawing are used |

|Volume is the interior of a space expressed in cubic units |

|Surface Area is the total area of the surfaces expressed in square units |

|Identify corresponding parts of similar or congruent polygons (corresponding sides and angles) |

|Use proportional reasoning in relationship to similar and congruent figures |

|Transformations: Identify and create translations and reflections on a coordinate plane |

|Fluency in problem solving skills- continue with ongoing strategies |

|Curriculum Goals/Objectives: |Essential Questions: |

|COMPETENCY GOAL 2: |How are geometric shapes represented in architecture? |

|The learner will understand and use measurement involving two- and three-dimensional figures. |How do you think Volume and Surface Area affect each other? |

| |Are geometric figures and geometric shapes different? |

|  |How would the world be different if it was 2 dimensional? |

|Objectives |How are geometric properties used to solve problems in everyday life? |

|2.01     Draw objects to scale and use scale drawings to solve problems. |When does Algebra help us understand Geometry? |

| |When does Geometry help us understand Algebra? |

|2.02     Solve problems involving volume and surface area of cylinders, prisms, and composite shapes. | |

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|COMPETENCY GOAL 3: | |

|The learner will understand and use properties and relationships in geometry. | |

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|Objectives | |

|3.01     Using three-dimensional figures: | |

|Identify, describe, and draw from various views (top, side, front, corner). | |

|Build from various views. | |

|Describe cross-sectional views. | |

|3.02     Identify, define, and describe similar and congruent polygons with respect to angle measures, length | |

|of sides, and proportionality of sides. | |

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|3.03     Use scaling and proportional reasoning to solve problems related to similar and congruent polygons. | |

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|Common Core Standards | |

|Draw, construct and describe geometrical figures and describe the relationship between them. | |

|7.G.1 Solve problems involving scale drawing of geometric figures, including computing actual lengths and areas| |

|from a scale drawing and reproducing a scale drawing at a different scale. | |

|7.G.2 Draw geometric shapes with given conditions. Focus on constructing triangles with three measures of | |

|angles and sides, noticing what 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 triangle pyramids. | |

|Solve real-life and mathematical problems involving angle measures, area, surface area and volume. | |

|7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems, showing a | |

|relationship between the circumference and area of a circle. | |

|7.G.5 Use facts about supplementary, complementary, vertical and adjacent angles in a multi-step 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. | |

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|**Highlighted information is new to the 7th grade curriculum. | |

|Essential Skills/Vocabulary: |Assessment Tasks: |

| |ClassScape |

| |Nets |

| |Quickwrites |

| |Foldables |

| |Activities on building 3-D figures (identifying the front view, side view and top |

| |view, located in the 7th grade Objective tasks) |

| |Activities on comparing Volume and Surface Area |

| |Attack of a 50 Foot Woman (located in the 7th grade Objective tasks) |

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|Vocabulary: |Pyramid |Skills: | |

|Scale Drawing |Circumference |Area of triangle, trapezoid, circle, rectangles, | |

|Scale |Corresponding |and squares | |

|Scale Factor |parts |Basic Angles | |

|Scale Model |Similar |Coordinate Plane | |

|Solid |Congruent | | |

|Volume |Angles | | |

|Rectangular Prism |Base | | |

|Cylinder |Height | | |

|Surface Area |Complex Figures | | |

|Cones |Translation | | |

|Reflection | | | |

|Materials Suggested: |

|NCDPI Resources: |

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|National Library of Manipulatives |

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|NCTM Illuminations |

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|Lesson Plan sites and Activities: |

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|Math Graphic Organizers |

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|AVID Library/Write Path Books |

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|SMART Board Lessons |

|exchange. |

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