Common Core Mathematics 6 (CCM-6) Unit 4 Starting Points
Unit 4: Geometry
Essential Questions:
o What types of units are necessary for finding the area of two dimensional figures and
surface area and volume of three-dimensional figures? Why are these units appropriate?
o What is the relationship between rectangles and triangles having the same base and
height measure?
o How are the areas of parallelograms and trapezoids related to the area of rectangles?
o How is the formula for the area of rectangles used in finding the volume of rectangular
prisms?
o What is the distance between points (x1,y1) and (x1,y2) and (x1,y1) and (x2,y1)?
Curriculum Standards:
6.G.A. Solve real-world and mathematical problems involving area, surface area, and
volume.
1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by
composing into rectangles or decomposing into triangles and other shapes; apply these
techniques in the context of solving real-world and mathematical problems.
2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with
unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same
as would be found by multiplying the edge lengths of the prism. Apply the formulas
V  lwh and A  bh to find volumes of right rectangular prisms with fractional edge lengths
in the context of solving real-world and mathematical problems.
3. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to
find the length of a side joining points with the same first coordinate or the same second
coordinate. Apply these techniques in the context of solving real-world and mathematical
problems.
4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use
the nets to find the surface area of these figures. Apply these techniques in the context of
solving real-world and mathematical problems.
Approximate Length of Unit: 20 days
Standard(s)
6.G.A.1
Days
6-8
Notes
Big ideas:
Discover how area formulas of triangles, parallelograms,
and trapezoids are generated.
Find the area of composite figures composed of the
polygons above.
Resources:
 Task: Disaster at Sea
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.
Assessment Items:
 Illustrative Mathematics: Finding Areas of
Polygons: Variation 1
 Illustrative Mathematics: Base and Height
 Illustrative Mathematics: Same Base and Height:
Variation 2
6.G.A.2
3-5
Big ideas:
Determine the volume of a rectangular with whole number
and fractional length edges.
Resources:
 Lesson: Volume of Rectangular Prisms
Assessment Items:
 Illustrative Mathematics: Banana Bread
 Illustrative Mathematics: Computing Volume:
Progression 1, Progression 2, Progression 3,
Progression 4
 Task: Fish are Fun
6.G.A.3
1-3
This
standard
builds on
6.NS.C.8
Big ideas:
Draw polygons on a coordinate grid and use ordered pairs
to determine length of sides (be sure either the first or
second coordinate is the same in both pairs).
Apply this skill to solving real-world problems.
Review symbolic notation for points, segments, lines,
vertices, angles, and rays.
Resources:
 Lesson: Travel Maps
6.G.A.4
6-8
Big ideas:
Represent 3D figures using nets.
Use nets to determine surface area.
Apply this skill to solving real-world problems.
Resources:
 Lesson: Nets
 Lesson: Surface Area
 Illuminations Lesson: Fishing for the Best Prism
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.
Assessment Items:
 Illustrative Mathematics: Christo’s Building
 Illustrative Mathematics: Painting a Barn
Culminating Task: NCTM Illuminations Activity: Fishing for the Best Prism
Howard County Public Schools Office of Secondary Mathematics Curricular Projects has
licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0
Unported License.
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.