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Common Core: Math
Topic: Common Core Learning Standards
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 Grade 6 Module 5: Area, Surface Area, and Volume Problems In this module, students utilize their previous experiences in order to understand and develop formulas for area, volume, and surface area. ...

 Student Outcomes Students show the area formula for the region bounded by a parallelogram by composing it into rectangles. They understand that the area of a parallelogram is the area of the region...

 Student Outcomes Students justify the area formula for a right triangle by viewing the right triangle as part of a rectangle composed of two right triangles.

 In Topic A, students use composition and decomposition to determine the area of triangles, quadrilaterals, and other polygons. They determine that area is additive. Students learn through...

 Student Outcomes Students show the area formula for the region bounded by a polygon by decomposing the region into triangles and other polygons. They understand that the area of a polygon is...

 Student Outcomes Students show the area formula for a triangular region by decomposing a triangle into right triangles. For a given triangle, the height of the triangle is the length of the altitude...

 Student Outcomes Students construct the altitude for three different cases: an altitude that is a side of a right angle, an altitude that lies over the base, and an altitude that is outside the...

 Student Outcomes Students use absolute value to determine distance between integers on the coordinate plane in order to find side lengths of polygons.

 Student Outcomes Students determine the area of composite figures in reallife contextual situations using composition and decomposition of polygons. Students determine the area of a missing region...

 Student Outcomes Students extend their understanding of the volume of a right rectangular prism with integer side lengths to right rectangular prisms with fractional side lengths. They apply the...

 Module 5 concludes with deconstructing the faces of solid figures to determine surface area. Students note the difference between finding the volume of right rectangular prisms and finding the...

 Student Outcomes Given coordinates for the vertices, students draw polygons in the coordinate plane. Students find the area enclosed by a polygon by composing or decomposing using polygons with...

 Student Outcomes Students develop, understand, and apply formulas for finding the volume of right rectangular prisms and cubes.

 In Module 3, students used coordinates and absolute value to find distances between points on a coordinate plane (6.NS.C.8). In Topic B, students extend this learning to Lessons 7 and 8 where they...

 Student Outcomes Students determine the surface area of threedimensional figures in realworld contexts. Students choose appropriate formulas to solve reallife volume and surface area problems.

 Student Outcomes Students construct threedimensional figures through the use of nets. They determine which nets make specific solid figures and determine if nets can or cannot make a solid figure.

 Student Outcomes Students find the perimeter of irregular figures using coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Students...

 Student Outcomes Students extend the volume formula for a right rectangular prism to the formula V = Area of base times height. They understand that any face can be the base.

 In Grade 5, students recognized volume as an attribute of solid figures. They measured volume by packing right rectangular prisms with unit cubes and found that determining volume was the same as...

 Student Outcomes Students understand that volume is additive and apply volume formulas to determine the volume of composite solid figures in realworld contexts. Students apply volume formulas to...

 Student Outcomes Students use nets to determine the surface area of threedimensional figures.

 Student Outcomes Students construct nets of threedimensional objects using the measurements of a solid’s edges.

 Student Outcomes Students determine that a right rectangular prism has six faces: top and bottom, front and back, and two sides. They determine that surface area is obtained by adding the areas of...

 Student Outcomes Students apply the formulas for surface area and volume to determine missing dimensions of aquariums and water level.