Grade 6
Unit 5
Table of Contents
Geometry
Section
Unit Description
Unit Standards
Unit Essential Questions
Unit Proficiencies (Learning Targets)
Unit Vocabulary and Language Support
Sample Unit Calendar and Possible Supporting Materials
Student Proficiencies Handout
Unit Assessments and Rubric/Commentary
Page Number
Grade 6
Content Unit 5
Unit Title:
Stage 1
Unit
Description:
Standards:
Essential
Question:
Standard
Proficiencies
(Learning Targets)
Dates of Unit:
02/23/2015 – 04/09/2015
Geometry
Identify Desired Results
Students will find the area of triangles, quadrilaterals and polygons by composing and decomposing into triangles and other
shapes. The volume of rectangular prisms will be explored using unit cubes leading to an understanding of the standard algorithm
for volume. They will investigate surface area of three-dimensional figures using nets of triangles and rectangles.
6.G.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.
6.G.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 = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving
real-world and mathematical problems.
6.G.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.
6.G.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.
How can you find area, volume and surface area of various geometric shapes?
6.G.1
I can solve real-world and
mathematical problems
involving finding the area of
triangles, special
quadrilateral and polygons
by composing into
rectangles or decomposing
into triangles and other
shapes.
6.G.2
I can find the volume of a
right rectangular prism
with fractional edge
lengths by using formulas
V=lwh and V=bh when
solving real-world and
mathematical problems.
6.G.3
I can draw figures on a
coordinate plane
given coordinates for
the vertices and use
this to solve realworld and
mathematical
problems.
6.G.4
I can model three
dimensional figures
using nets made of
rectangles and triangles
and use this to solve realworld and
mathematical problems.
I can show how to find
the volume of a right
rectangular prism with
fractional edge lengths by
using formulas V=lwh and
V=bh when solving realworld and mathematical
problems.
I can use nets to find the
surface
area of three dimensional
figures to solve
real-world and
mathematical problems.
Stage 2
Determine Assessment Evidence
Academic Language Function(s):
Academic Language (What language will students need to sound like experts?)
Academic Language Stems:
Easy for Beginners
Academic Vocabulary:


Medium for Intermediate
Difficult for Advanced and Fluent
Assessment
Tools:
 Goals Rubric
 Assessment Checklist
Student
Name
Vocabulary
I can use nets to find the surface
area of three dimensional figures to solve
real-world and mathematical problems.
I can model three dimensional figures
using nets made of rectangles and
triangles
and use this to solve real-world and
mathematical problems.
given coordinates for the vertices and
use this to solve real-world and
mathematical problems.
I can draw figures on a coordinate plane
I can show how to find the volume of a
right rectangular prism with fractional
edge lengths by using formulas V=lwh
and V=bh when solving real-world and
mathematical problems.
I can find the volume of a right
rectangular prism with fractional edge
lengths by using formulas V=lwh and
V=bh when solving real-world and
mathematical problems.
I can solve real-world and mathematical
problems involving finding the area of
triangles, special quadrilateral and
polygons by composing into rectangles or
decomposing into triangles and other
shapes.
Unit of Study Assessment Checklist
Stage 3
Plan Learning Experiences and Instruction
SAMPLE UNIT CALENDAR
I can solve real-world and
mathematical problems
involving finding the area
of triangles, special
quadrilateral and polygons
by composing into
rectangles or decomposing
into triangles and other
shapes.
I can solve real-world and
mathematical problems
involving finding the area
of triangles, special
quadrilateral and polygons
by composing into
rectangles or decomposing
into triangles and other
shapes.
I can solve real-world and
mathematical problems
involving finding the area
of triangles, special
quadrilateral and polygons
by composing into
rectangles or decomposing
into triangles and other
shapes.
Assessment:
I can find the volume of a
right rectangular prism
with fractional edge lengths
by using formulas V=lwh
and V=bh when solving
real-world and
mathematical problems.
Materials
I can find the volume of a
right rectangular prism
with fractional edge lengths
by using formulas V=lwh
and V=bh when solving
real-world and
mathematical problems.
I can find the volume of a
Assessment:
right rectangular prism
with fractional edge lengths
by using formulas V=lwh
and V=bh when solving
real-world and
mathematical problems.
I can show how to find the
volume of a right
rectangular prism with
fractional edge lengths by
using formulas V=lwh and
V=bh when solving realworld and mathematical
problems.
I can show how to find the
volume of a right
rectangular prism with
fractional edge lengths by
using formulas V=lwh and
V=bh when solving realworld and mathematical
problems.
I can draw figures on a
coordinate plane given
coordinate for the vertices
and use this to solve realworld and mathematical
problems.
I can draw figures on a
coordinate plane given
coordinate for the vertices
and use this to solve realworld and mathematical
problems.
Assessment:
I can model three dimensional
figures using nets made of
rectangles and triangles
and use this to solve realworld and mathematical
problems.
I can draw figures on a
coordinate plane given
coordinate for the vertices
and use this to solve realworld and mathematical
problems.
I can model three dimensional
figures
using nets made of rectangles
and triangles
and use this to solve realworld and
mathematical problems.
I can model three dimensional
figures
using nets made of rectangles
and triangles
and use this to solve realworld and
mathematical problems.
Assessment:
I can use nets to find the
surface
area of three dimensional
figures to solve
real-world and mathematical
problems.
I can use nets to find the
surface
area of three dimensional
figures to solve
real-world and mathematical
problems.
I can use nets to find the
surface area of three
dimensional figures to solve
real-world and mathematical
problems.
Vocabulary:
Vocabulary:
Assessment:
Assessment:
GEOMETRY
Name ______________________________
PROFICIENCIES
Date ________________________ Period _____
My Proficiency Assessment Scores
Proficiency #1 – I can solve real-world and mathematical
problems involving finding the area of triangles, special
quadrilateral and polygons by composing into rectangles or
decomposing into triangles and other shapes.
Proficiency #2 –I can find the volume of a right rectangular
prism with fractional edge lengths by using formulas V=lwh
and V=bh when solving real-world and mathematical problems.
Proficiency #3 – I can show how to find the volume of a right
rectangular prism with fractional edge lengths by using
formulas V=lwh and V=bh when solving real-world and
mathematical problems.
Proficiency #4 – I can draw figures on a coordinate plane given
coordinates for the vertices and use this to solve real-world and
mathematical problems.
Proficiency #5 – I can model three dimensional figures
using nets made of rectangles and triangles
and use this to solve real-world and
mathematical problems.
Proficiency #6 – I can use nets to find the surface
area of three dimensional figures to solve
real-world and mathematical problems.
area
triangle
quadrilateral
rectangle
polygon
volume
cube
rectangular prism
coordinates
coordinate plane
composing
decomposing
fractional edge
nets
axis/axes
base
length
width
height
vertex/vertices
⧠ I know how to add, subtract, multiply and divide single digit numbers efficiently.
⧠ I know how to add, subtract, multiply and divide multi- digit whole numbers, decimals, and
fractions.
⧠ I know how to stick with a problem until it’s finished.
⧠ I know how to substitute a number for a variable and use a formula.
⧠ I understand and know how to use math vocabulary appropriately.
⧠ I know how to correctly use the order of operations.
⧠ I know how to find the perimeter of different geometric shapes.
add
sum
subtract
difference
factor
multiply
product
divide
quotient
See me if you look at this list and think, “uh, oh…”
Proficiency Assessment…
Name _________________________________
Date _______________________ Period ____
Proficiency # – “I can ….”
Proficiency
Score
4
Percentage
3
83%
2
67%
1
50%
100%
Description
WOW!
I have shown proficiency and deeper understanding by:

You got it 
I have shown proficiency by:

Help is needed
I have shown partial understanding by:

Uh-oh…
I have not yet shown my understanding of the math.
Name _________________________________
Date _______________________ Period ____
Proficiency # – “I can .”
Proficiency
Score
4
Percentage
3
83%
2
67%
1
50%
100%
Description
WOW!
I have shown proficiency and deeper understanding by:

You got it 
I have shown proficiency by:

Help is needed
I have shown partial understanding by:

Uh-oh…
I have not yet shown my understanding of the math.