Area,+Volume,+and+Surface+Area

= 7-G6 = =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.=

Third Grade Fourth Grade Fifth Grade Sixth Grade Seventh Grade Eighth Grade
 * ACOS 2009 Correlation **
 * 12.6 - Calculating perimeter and area of rectangular shapes.
 * 14 - Measure length, width, weight, mass, volume, and capacity using metric and customary units, and temperature using Celsius and Fahrenheit.
 * 12.1 - Determining surface areas of rectangular solids.
 * 7 - Solve problems involving perimeter and area of parallelograms and rectangles.
 * 7.3 - Determining the volume of a rectangular prism.
 * 10 - Calculate the perimeter of polygons and the area of triangles and trapezoids.
 * 10 - Determine the area and perimeter of regular and irregular plane shapes.
 * 11 - Determine surface area and volume of rectangular prisms, cylinders, and pyramids.
 * 11.1 - Determining surface area and volume of solid figures, including cones and spheres.
 * 11.4 - Developing formulas for determining surface area and volume of rectangular prisms, cylinders, and pyramids.

//area only// || //area only// ||
 * CMP2 Correlation **
 * **Book** ||= **Investigation** || **Objective** ||
 * Filling & Wrapping ||= 1-5 || 7-G6 ||
 * Stretching & Shrinking ||= 2-3 || 7-G6
 * Covering & Surrounding ||= 1-5 || 7-G6


 * Resources **

North Carolina's Lesson for Learning Changing Surface Areas - 7G6, 7RP1, 7RP2 Packing to Perfection - 7G6
 * I can solve real world problems involving surface area of cubes.
 * I can draw a model for a proportional relationship.
 * I can compute unit rate.
 * I can find the surface area of a rectangular prism.
 * I can connect the model of a rectangular prism to the formula for its volume using the area of the base and the height.
 * I can recognize the orientation does not affect the volume.
 * I can recognize the prisms can have the same volume but different dimensions and surface areas.

From [|Harding Math Specialist] Pyramid Surface Area and Volume - cooperative learning Round Table activity
 * **7.G.2, 7.G.6 - Sports Bag** - [] – (Task) Using dimension’s in designing a Sports bag.
 * **7.G.5, 7.G.6 - Applying Angle Theorems -** @http://map.mathshell.org/materials/lessons.php?taskid=214&subpage=concept - A lesson requiring students to apply angle theorems for interior and exterior angles of a polygon.
 * **7.G.6 (and others) - Geometric Problem Solving With Snap Cubes** - @http://www.teachscienceandmath.com/2010/03/10/geometric-problem-solving-with-snap-cubes/ - problem solving activity using snap cubes. Asks students to investigate different shapes they can create with given numbers of cubes and then calculate volume and surface area of the shapes.

Area was already part of the 7th grade ACOS. Surface area and volume have been moved down from 8th grade, although they were also addressed in elementary school.
 * My Humble Opinion **