Area Perimeter Volume Outline - MathBitsNotebook (Jr)

Area, Perimeter, Volume

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Topics Standards:

NGMS-6

CCSS 6

NGMS-7

CCSS 7

NGMS-8

CCSS 8

LESSONS:

* calculator link

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General Quadrilateral Information (includes angle sum)

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Quadrilateral Family (and Properties)

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Perimeter

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Area (definition, unit squares, general formulas)

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Areas of Triangles and Quadrilaterals (examples of formulas, situations)

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Decompose to Find Area (composite shapes, decomposition)

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Area on a Coordinate Grid (counting, box method = composing into rectangles)

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Scale Drawings, Grids, and Area (dot grid, coordinate grid)

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Scale Drawings and Area

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Hints for Finding Area

All

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Basic Circle Information (parts of a circle)

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Circumference of Circle

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Area of Circle

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Solids - Polyhedra & 3D Shapes (introduction to solids with polygon faces)

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Prisms (definition, characteristics, brief volume/surface area formulas)

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Pyramids (definition, characteristics, brief volume/surface area formulas, frustum)

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Surface Area with Nets (Polyhedra - rt. (rect. & Δ) prisms, rt. rect.pyramids)

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Surface Area (Polyhedra - right prisms and pyramids composed of Δs and trapezoids)

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3-D Nets (templates for nets for the Platonic Solids)

Extra

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Volume and Unit Cubes (unit cubes, fractional cubes, V = Bh discussion)

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Volume of Boxes (Polyhedra - right rectangular prisms, formulas, examples)

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Volume (Polyhedra - prisms and pyramids composed of triangles and trapezoids)

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Volume of Objects Composed of Right Rectangular Prisms (or cubes)

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Cross Sections = Plane Sections (3D Slicing - rt. rect. prisms, rt. rect. pyramids)

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Orthographic Projection (with 3D solids composed of cubes)

Extra

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Hints for Finding Volume

All

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Volume & Area to Explain Perfect Squares & Cubes (under Radical section)

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Solids - non-Polyhedra (introduction to solids with curves, brief formulas)

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Cylinders (basic information, volume, surface area, cross sections)

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Cones (basic information, volume, surface area, cross sections)

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Spheres and Hemispheres (basic info, distance, volume, area, cross sections)

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Reference Table for Area

Reference

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Reference Table for Solids (Volume and Surface Area)

Reference

PRACTICE:
•	Practice with Perimeter

•	Practice with Area
•	Area Grid Practice
•	Practice with Area and Scale Drawings

•	Practice with Circumference and Area

•	Practice with Surface Area and Nets (rt. rect & Δ prisms, rt rect pyramids, cubes)
•	Practice with Surface Area (prisms, pyramids composed of Δs and trapezoids)
•	Practice: Volume - Unit Cubes and Boxes
•	Practice with Volume- Polyhedra (prisms, pyramids)
•	Practice with Objects Composed of Right Rectangular Prisms
•	Practice with Orthographic Projections	Extra
•	Practice with Cross Sections - Polyhedra (slices parallel or perpendicular to base)

•	Practice with Cross Sections - non Polyhedra (parallel, perp, area, volume)
•	Practice with Volume- non-Polyhedra (cylinders, cones, spheres)

•	Vocabulary - Word Guess Game (topical vocabulary game - Level A)
•	Vocabulary - Word Guess Game (topical vocabulary game - Level B)
•	Vocabulary - Word Guess Game (topical vocabulary game - Level C)