Grade 4/5 Geometry/Measurement
Month
Essential Understanding
September
Geometry:
 Draw and identify lines and angles, and angles, and
classify shapes by properties of their lines and
angles. 4G
o Discusses the results of putting together and
taking apart 2-D and 3-D shapes.
o Develops an understanding of the relationship
between 2-D and 3-D figures.
o Draws and identifies parts of shapes (in
isolation and in 2-D and 3-D shapes) such as
points, lines, line segments, rays, angles (right,
obtuse, acute), perpendicular and parallel
lines.
Measurement:
Focus attribute: liquid capacity
Professional
Development
Reference
First 20 Days of
Math (MMSD)
CCSS p.6-8
Mathematical
Practices
Content
Obligatory
and Content
Compatible
polygon names:
triangle
square
rectangle
pentagon
hexagon
heptagon
octagon
nonagon
decagon, etc.
properties:
sides
corner
angles
symmetry
parallel
perpendicular
regular
irregular, etc.
polygon
line segment
endpoint
vertex (vertices)
orientation
2-dimensional
Common Core Learning
Experience (CCLE)
Fluency, Maintenance,
Extensions &
Assessments
CCLE1-2: First 20 Days of
Math (MMSD):
- Exploration - center using:
power polygons,
geoblocks, geoboards,
pattern blocks, multi-link
blocks so not first time
using them during lessons.
- Mini lesson format with
students writing (recording
sheets/journal)/drawing
thinking - with challenges.
- Routines, assessing,
creating culture and
climate to understand
math and take
risks/respect student
thinking
VdW 3-5 9.9 Capacity Line
Up
CCLE 3: VdW 3-5 8.5 - Can
you make it? pp.217-218
Individual student work with
recording sheets.
CCLE 4: 4th Grade Invest.
Unit 4, 2.1 - What is a
Polygon?
Assessment: p.56 ongoing
assessment
Grade 4/5 Geometry/Measurement
Month
October
Essential Understanding

o
o
o
Geometry: Draw and identify lines and angles,
and classify shapes by properties of their lines
and angles. 4G
Discusses the results of putting together and
taking apart 2-D and 3-D shapes. Develops an
understanding of the relationship between 2-D
and 3-D figures
Draws and identifies parts of shapes (in
isolation and in 2-D and 3-D shapes) such as
points, lines, line segments, rays, angles (right,
obtuse, acute), perpendicular and parallel
lines.
Draw nets and plan views of 3-D shapes.
Uses nets and plan views to build 3-D shapes.
Professional
Development
Reference
4th Grade
Invest. Unit 7,
Teacher Notes:
p.97, Unit 4 154
Content
Obligatory
and Content
Compatible
Common Core Learning
Experience (CCLE)
Fluency, Maintenance,
Extensions &
Assessments
trapezoid
equilateral
triangle
parallelogram
hexagon
CCLE 1: 4th Grade Invest.
Unit 4, 2.2 & 2.3 Making
Polygons - (2 days)
Make own polygons
side
angle
right angle
parallel
CCLE 2: 4th Grade Invest.
Unit 4, 2.3A Common Core
Edition, p.CC16-20
Assessment: 4th Grade
Invest. Unit 4, CC 18
p.63 &.56 ongoing
assessment
silhouette
3-dimensional
solids-prisms
pyramids
cylinder
sphere
hemisphere
cube
cone
circular
edge
round
point
face
flat
CCLE 3: 4th Grade Invest.
Unit 7, 1.2 - Moving Between
Solids and Silhouettes - (2
days)
3D solids & silhouettes - Use
a variety of geometric solids
(i.e. cereal boxes, tissue
boxes, sani-wipe cylinders,
etc.) to match or come up
with own silhouettes.
4th Grade Invest. Unit 7, 1.1,
1.3 & 1.4
Grade 4/5 Geometry/Measurement
Month
Essential Understanding
Professional
Development
Reference
October
(cont.)
November
 Geometry Draw and identify lines and angles, and
classify shapes by properties of their lines and
angles. 4G
o Investigate congruency and similarity of 2-D
shapes. Identify corresponding parts of similar
and congruent shapes.

4th Grade
Invest. Unit 7,
Teacher Notes
p.102-105 3D
arrays, 106-112
assessment
Content
Obligatory
and Content
Compatible
Common Core Learning
Experience (CCLE)
Fluency, Maintenance,
Extensions &
Assessments
volume
3-dimensional
CCLE 4: 4th Grade Invest.
Unit 7, 2.1, 2.2 - Building with
Cubes - (2 days)
Construct and draw buildings
on isometric dot grid paper
(VDW BLM12) 4th Grade
Invest. Unit 7, 2.3
Assessment: p.50, 53 & 58
ongoing assessments
volume
perspective
CCLE 1:4th Grade Invest.
Unit 7, 2.3, 2.4 - Drawing
Before Building, Integrating
Views to Make a Cubed
Building - (2 days)
Assessment: 4th Grade
Invest. Unit 7, 2.5 M16.17.18
CCLE 2: 4th Grade Invest.
Unit 7, 3.1, 3.2 - How Many
Cubes?, Patterns from the
Bottom Up - (3 days)
Assessment: 4th Grade
Invest. Unit 7, 2.1, & 2.2,
p.72 ongoing assessment
CCLE 3: 4th Grade Invest.
Unit 7, 3.3, 3.4 - Volume of
Boxes, cont. - (3 days)
5th Grade Invest. Unit 2, 3.2
Finding a Three-to-One
Relationship
Invest. M 26–30
SAB: p.39 session 1
Assessment Invest.4th Grade
Invest. Unit 7, Session 3
M23, 24, 25 p.83 ongoing
assessment
Measurement: Understand concepts of
volume and relate volume to multiplication and
division. 5.MD
Measurement: Focus Attributes - Volume
congruent
layers
Grade 4/5 Geometry/Measurement
Month
December
Essential Understanding
Geometry:
 Geometry: Graph points on the coordinate
plane to solve real-world and mathematical.
5.G
o
o
o
Identifies figures with line symmetry and draws
lines.
Locate, plot, and interpret the meaning of
coordinates on maps and first-quadrant
coordinate grids. Recognize real-world
contexts in which coordinate grids are useful.
Understand what a coordinate plane is,
including numbered perpendicular axes, origin,
coordinate pairs, etc.
Measurement:
Focus attribute: length and area
Professional
Development
Reference
Content
Obligatory
and Content
Compatible
Common Core Learning
Experience (CCLE)
Fluency, Maintenance,
Extensions &
Assessments
symmetrical
half
line of symmetry
fold
area
unit of
measurement
CCLE 1:4th Grade Invest.
Unit 4, 4.2 - Symmetry and
Area - (2 days)
4th grade Invest. Unit 4, 4.1
activity 1 & 2
Assessment: 118 ongoing
assessment
coordinate
slide
axis
plot
connect
point
center
corresponding
points
parallel
original
translation
quadrant
CCLE 2: VdW 3-5 8.20
p.239 - 240 –
Coordinate Slides (2 days)
VdW 8.21 & p 239
horizontal
vertical
skewed
mirror image
CCLE 3:VdW 8.16 p.235 Dot
Grid Symmetry
VdW 8.5, 8.17, 8.18, & 8.19
Grade 4/5 Geometry/Measurement
Month
January
Essential Understanding
Geometry:
 Draw and identify lines and angles, and
classify shapes by the properties of their lines.
4G

Classify two-dimensional figures into
categories based on their properties. 5G
Measurement:
 Convert like measurement units within a given
measurement system. 5 MD.
Focus attribute: length and area
Professional
Development
Reference
Content
Obligatory
and Content
Compatible
Common Core Learning
Experience (CCLE)
Fluency, Maintenance,
Extensions &
Assessments
decompose
irregular/nonreg
ular polygon
equal
half
size
shape
degree
greater than
less than
reverse
moves and
turns
square unit
pentagon
CCLE 1: 4th Grade Invest.
Unit 4, 4.3, 4.4 - Crazy
Cakes, Decomposing Shapes
- (2 days)
Assessment: 4th Grade
Invest. Unit 4, p. 132 ongoing
assessment
relationship
between area of
triangle vs. area
of rectangle,
rows, columns,
grid lines
CCLE 2: 4th Grade Invest.
Unit 4, 4.5, 4.6 - Area of
Rectangles, Area of Polygons
- (2 days)
Invest. Unit 4, 4.7, M27,28
perimeter
area
dimension
multiplied
multiply
numerical
pattern
CCLE 3: 5th Grade Invest.
Unit 5, 2.1, 2.3 - Sequence of
Squares, Building a
Sequence of Rectangles - (2
days)
5th Grade Invest. Unit 2, 2.2
Unit 5, 2.4 & 2.5
Assessment: 5TH Grade
Invest. Unit 5 M21 &p.66
ongoing assessment
Grade 4/5 Geometry/Measurement
Month
Essential Understanding
Content
Obligatory
and Content
Compatible
Common Core Learning
Experience (CCLE)
Fluency, Maintenance,
Extensions &
Assessments
geometric
pattern
increase
decrease
accurate
predict
January
(cont.)
February
Professional
Development
Reference
Geometry:
 Classifies 2-D shapes based on properties of their
lines and angles, by parallel or perpendicular lines,
and by sizes of angles (right, obtuse, acute). 5 G.
o Sorts and describes shapes.
o Discusses similarities and differences among
classes of shapes using appropriate geometric
language.
similar
CCLE 1: 5th Grade Invest.
Unit 5, 3.1 - Building Similar
Polygons (2 days)
right
acute
obtuse
equilateral
scalene
isosceles
CCLE 2: 5th Grade Invest.
Unit 5, 1.1 - Triangles (2
days)
quadrilaterals
equidistant
CCLE 3: 4th Grade Invest.
Unit 4, 2.4 - Sort
Quadrilaterals (2 days)
angle
degree
right angle
equilateral
triangle
CCLE 4: 4th Grade Invest.
Unit 4, 3.1 - Making Right
Angles (2 days)
Assessment: Invest. Unit 5,
Session 3M 22
5th Grade Invest. Unit 5, 1.2
- Quadrilaterals
Grade 4/5 Geometry/Measurement
Month
March
Essential Understanding
Measurement: Understand Concepts of angle and
measure of angles. 4.MD
Professional
Development
Reference
Content
Obligatory
and Content
Compatible
Measurement: Convert like measurement units within a
given measurement system. 5.MD
Fluency, Maintenance,
Extensions &
Assessments
acute
obtuse
CCLE 1: 4th Grade Invest.
Unit 4, 3.2 - 3.3
More or Less Than 90
Degrees (2 days)
Assessment: Teacher
Observation Invest. Unit 4,
Session 3 M 22
interior angle
CCLE 2: 5th Grade Invest.
Unit 5, 1.5 - 1.6
Angle Sizes in Polygons (2
days)
Assessment: Invest. Unit 5,
Session 1 M17 & 20
non standard
unit
standard unit
CCLE 1: VdW 3-5 p.259-260
- Making and Using Rulers (2
days)
Assessment: p.30 & 31
ongoing assessment
Focus attribute: angles
April
Common Core Learning
Experience (CCLE)
 Solve problems involving measurement and
conversion of measurements from a larger unit to a
smaller unit. 4.MD
 Include all four operations and conversions between
units such as feet and inches and hours and
minutes.
CCLE 2: 4th Grade Invest.
Unit 4, 1.1-1.2
Measurement Benchmarks
and Measurement Tools (2
days)
Focus attribute: length
May
Geometry:
 Understand that properties belonging to a category
of 2-D figures also belong to all subcategories of that
category (e.g., all rectangles have four right angles;
squares are rectangles, so all squares have four
right angles).
 Classify 2-D figures in a hierarchy based on
properties (e.g., squares are rectangles; rectangles
are parallelograms; parallelograms are
quadrilaterals; quadrilaterals are polygons, etc.)
convex
CCLE 1: 5th Grade Invest.
Unit 5, 1.2-1.4
(3 days)
Assessment: M13 & M8,
p.33, 40, 48 ongoing
assessment
CCLE 2: 4th Grade Invest.
Unit 4 1.3 (2 days)
Lesson 2: VDW pg.220-225
and VDW 8.6 pg.224-225
Grade 4/5 Geometry/Measurement
Month
June
Essential Understanding
Data: Represent and interpret data 4.MD & 5.MD to
make a line plot to display a data set
Professional
Development
Reference
Content
Obligatory
and Content
Compatible
range
data
line plot
Common Core Learning
Experience (CCLE)
CCLE 1: 4th Grade Invest.
Unit 2, 1.1 - 1.4
(3 days)
Fluency, Maintenance,
Extensions &
Assessments
5th Grade Invest. Unit 9, 1.1