CMS Curriculum Guides 2011-2012
7th Grade Math
Unit Title: Filling and WrappingSuggested Time: 16 days
Enduring understanding (Big Idea): Connect the area of the net to the surface area of a cube and rectangular prism. Visualize a net as a representation of the surface area of a cube and rectangular prism. Use the net for a rectangular prism to develop a strategy for finding the surface area of the prism. Find the volume of a rectangular prism by counting the number of unit cubes it takes to fill the prism. Students will understand the relationship between the dimensions of a rectangular prism and its surface area. Students will calculate the surface area of rectangular prism and continue to develop visualization skills relating rectangular prisms to their nets.
Essential Questions: What does a cube look like? What quantities are involved in the problem? Which measures of an object are involved –volume or surface area? Is an exact answer required? What method should I use to determine these measures? What strategies or formulas might help?
Unit Plans / Common Core Standards Alignment / Connection to 2003 Standards
Investigation 1-Building Boxes
Problem 1.1, 1.2, 1.3, 1.4 and Mathematical Reflections
Assign specific ACE problems / 7.G.6 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume . 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 / Objective2.02
Investigation 2- Designing Rectangular Boxes
Problems 2.1, 2.2, 2.3 & Math Reflections
Assign specific ACE problems / 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 / Objective 2.02
Investigation 3- Prism and Cylinders
Problems 3.1, 3.2, 3.3, 3.4 & Math Reflections
Assign specific ACE problems / 7.G.4 Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
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 / Objective2.02
(Moved From 6th grade NCSOS)
Investigation 4- Cones, Spheres, and Pyramids
Problems 4.1, 4.2, 4.3, Math Reflections
Assign specific ACE problems / 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. / Objective 2.02
Investigation 5- Scaling Boxes
Problems 5.1, 5.2, 5.3 & Math Reflections
Looking Back & Looking Ahead
Assign specific ACE problems / 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 / Objective 2.02
Mathematical Practices Standards for Common Core
1-Make sense of problems and persevere in solving them 2-Reason abstractly and quantitatively 3-Construct viable arguments and critique the reasoning of others 4-Model with mathematics 5-Use appropriate tools strategically 6-Attend to precision 7-Look for and make use of structure 8-Look for and express regularity in repeated reasoning
Prior Knowledge: Interpreting area as the number of squares that cover a 2-dimensional figure. Interpreting perimeter as the number of linear units that surround a 2-dimensional figure. Comparing areas and perimeter of different 2-dimensional figures. Studying the relationship between perimeter and area in rectangles. Developing strategies and algorithms for finding the perimeter and area of rectangles, triangles, parallelograms, and circles. Enlarging, shrinking, and distorting 2-D figures, and scaling quantities up and down using ratios and proportions.
Essential Terms Developed in This Unit / Useful Terms Referenced in This Unit / Terms Developed in Previous Unit
Base
Cone
Cylinder
Dimensions
Edge
Face
Net
Prism
Pyramid
Rectangular prism
Sphere
Surface area
Unit cube
volume / area
circumference
congruent
height
length
perimeter
pi
radius
width / Right prism
Oblique prism
Resources
Lab-Sheet
Additional Practice/Skills Worksheets
CMP2 Website –online & technology resources
Formal Assessment
- Check-Ups
- Partner Quiz
- Unit Test
Assessment Options
- Notebook check
- Multiple-Choice
- Question Bank
- ExamView CD-ROM
Parent Guide-Unit Letters
Spanish Assessment Resources
PHSchool.com
TeacherExpress CD-ROM
LessonLab Online Courses
Unit Technology Tips