BCSD Unit Planning Organizer
Grade 7 GT – Unit 2 – Two and Three Dimensional Shapes
2016-2017
Subject: Mathematics
Unit: Geometry – Two and Three Dimensional Shapes
Grade: 7 GT
Pacing: 18 days Instruct/Assess
2 days ERI
Total: 20 days
Essential Question(s):
1. What does a two-dimensional representation of a three-dimensional figure look like, and when would it be
useful?
2. How do I find the measure of a figure for which I don't have a formula?
3. How can I determine the amount it takes to cover, fill, and find the distance around a figure?
Big Idea(s):
1. A 2-d representation of a 3-d figure is known as a net and is useful to derive and interpret surface area formulas
and to construct 3-d shapes.
2. Students will use problem-solving and reasoning abilities to find the area of known shapes in order to find total
surface area of 3-d objects.
3. Using the appropriate formulas for surface area (cover) and volume (fill) for particular shapes will be used to
determine exact values.
Priority Standards
Supporting Standards
7.GM.3 Describe two-dimensional cross-sections of three-dimensional figures, specifically right rectangular
prisms and right rectangular pyramids.
7.GM.2 Construct triangles and special quadrilaterals using a variety of tools (e.g., freehand, ruler and protractor,
technology).
a. Construct triangles given all measurements of either angles or sides.
b. Decide if the measurements determine a unique triangle, more than one triangle, or no triangle.
c. Construct special quadrilaterals (i.e., kite, trapezoid, isosceles trapezoid, rhombus, parallelogram, rectangle)
given specific parameters about angles or sides.
7.GM.6 Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
c. Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to
derive the formulas for volume and surface area.
d. Use the formulas for area, volume, and surface area appropriately.
7.GM.6 Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
a. Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals,
and polygons.
b. Understand that the concepts of volume and surface area are applied to three-dimensional figures such as
cubes, right rectangular prisms, and right triangular prisms.
8.GM.9 Solve real-world and mathematical problems involving volumes of cones, cylinders, and spheres and
the surface area of cylinders.
1
BCSD Unit Planning Organizer
Grade 7 GT – Unit 2 – Two and Three-Dimensional Shapes
“Unwrapped” Concepts and Skills, and Cognitive Demand Level
Concepts to know
Skills to do
Cognitive Demand
Clarification
7.GM.3 Describe two-dimensional cross-sections of three-dimensional figures, specifically right rectangular
prisms and right rectangular pyramids.
2-dimensional cross
sections of right
rectangular prisms and
right rectangular pyramids
Describe
BT: Understand
DOK: 2
7.GM.6 Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations.
c. Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to
derive the formulas for volume and surface area.
d. Use the formulas for area, volume, and surface area appropriately.
concepts of two- and
three-dimensional figures
to real world and
mathematical situations
Apply
BT: Apply
DOK: 2
cubes, right rectangular
prisms, and right
triangular prisms into
rectangles and triangles
decompose
BT: Analyze
DOK: 3
formulas for volume and
surface area
derive
BT: Apply
DOK: 4
formulas for area, volume
and surface area
appropriately
use
BT: Apply
DOK: 2
8.GM.9 Solve real-world and mathematical problems involving volumes of cones, cylinders, and spheres and
the surface area of cylinders.
Volumes of cones,
cylinders, and spheres
Solve
BT: Apply
DOK: 2
Surface area of cylinders
Solve
BT: Apply
DOK: 2
Vocabulary
Mathematically proficient students communicate precisely by engaging in discussion about their reasoning using
appropriate mathematical language. The terms students should learn to use with increasing precision within this unit are
listed below.
2-D and 3-D Shapes: prism, pyramid, triangle, parallelogram, quadrilateral, net, plane, cross section, two-dimensional
figure, three-dimensional figure, area, right rectangular prism, surface area, volume, regular polygon, lateral face, cube,
base, edge
2
BCSD Unit Planning Organizer
Grade 7 GT – Unit 2 – Two and Three-Dimensional Shapes
Required Resources
Supplemental Resources
Digits by Pearson
Explore Learning – Gizmos (www.explorelearning.com)
Suggested Gizmos:
 Fido’s Flower Bed
 Area of Parallelograms
 Area of Triangles
 Parallelogram Conditions
 Surface and Lateral Areas of Prisms and Cylinders
Math Innovations
NCTM Illuminations
Math Assessment Project – map.mathshell.org
Puffin Academy (Educational Web-browser for Digits access)
MobyMax.com
Problem-attic.com
3