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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