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Subject: Math Grade Level: 7 Compacting Big Idea/Theme: Measurement and Geometry Unit 4 Title: Shape it up! Timeframe Needed for Completion: 9 weeks Grading Period: 3rd/4th 9 wks. Understandings: How scale drawing are used Use a variety of tools to draw different geometric figures using given data. With given angles determine missing measurement using equations. Determine the area and perimeter of given triangles, quadrilaterals and circles. 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, reflections, rotations and dilations on a coordinate plane Identify and understand the relationship of parallel lines cut by a transversal. Fluency in problem solving skills- continue with ongoing strategies Curriculum Goals/Objectives: 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. Understand congruence and similarity using physical, models, transparencies, or geometry software. 8.G.1 Verify experimentally the properties of rotations, reflections and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure c. Parallel lines are taken to parallel lines. 8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be Essential Questions: How are geometric shapes represented in architecture? 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? How are geometric properties used to solve problems in everyday life? When does Algebra help us understand Geometry? When does Geometry help us understand Algebra? What happens to a set of parallel lines when it is cut by a transversal? How do you distinguish is a figure is similar or congruent? What process is used to distinguish different transformations? obtained from the first by a sequence of rotations, reflections and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. 8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. 8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence or rotations, reflections, translations ad dilations; given two similar twodimensional figures, describe a sequence that exhibits the similarity between them. 8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. 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) Vocabulary: Pyramid Skills: Scale Drawing Circumference Area of triangle, trapezoid, Scale Corresponding circle, rectangles, and squares Scale Factor parts Basic Angles Scale Model Similar Basic Geometric Concepts Solid Congruent Coordinate Plane Volume Angles Rectangular Prism Base Cylinder Height Surface Area Complex Cones Figures Reflection Translation Sphere Rotation Line Segments Dialation Parallel Lines Vertical Transversal Angles Alternate Interior Same Side Angles Interior Alternate Exterior Angles Angles Corresponding Angles Materials Suggested: NCDPI Resources: http://www.ncpublicschools.org/curriculum/mathematics/middlegrades/grade08/ http://mathlearnnc.sharpschool.com/cms/One.aspx?portalId=4507283&pageId=5149151 National Library of Manipulatives http://nlvm.usu.edu/en/nav/vlibrary.html NCTM Illuminations http://illuminations.nctm.org/ Lesson Plan sites and Activities: http://www.lessonplanspage.com/Math.htm http://www.ilovemath.org Math Graphic Organizers http://www.enchantedlearning.com/graphicorganizers/math/ AVID Library/Write Path Books SMART Board Lessons exchange.smarttech.com