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CCSS Geometry (G)
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Unpacking the Standards
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Grade 4
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Standard: 4.G.1 Cluster (m/s/a)
Math Practices: MP5, MP6
Related CA Standard
4.MG.3.1
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify
these in two-dimensional figures.
Essential Skills/Concepts
Prerequisites: know the different types
of angles (acute, right, obtuse)
Know the definitions for the following
geometric terms: points, lines, line
segments, rays, angles (right, acute,
obtuse), perpendicular lines and parallel
lines.
Identify the above terms in twodimensional figures
Be able to draw the above geometrical
figures.
Academic Vocabulary:
Points
Lines
Line segments
Rays
Angles (right, acute, obtuse)
Perpendicular/parallel lines
Teaching Notes/Strategies
PDIM/Math Journals or Geometry
books with definitions/examples of
different geometric terms—points,
lines, line segments, rays, angles (right,
acute, obtuse), perpendicular lines and
parallel lines both out of context and
within 2-dimensional figures.
Identify these geometric figures in
real-life objects to increase
understanding and exposure/practice.
Be clear how some of these figures can
be combined to make other figures: (i.e.,
two rays with a common endpoint create
an angle.)
Show these shapes with different
orientations (turn them different
directions).
Student presentations of a
shape/geometric figure using academic
language.
Resources
Rulers for drawing objects
Math Journals (or geometry books)
Anchor chart of terms/examples
Alphabet Lines
Geoboard Line Segments
Angles on the Geoboard
Angle Barrier Game
All available at http://www.k5mathteachingresources.com
Standard: 4.G.2 Cluster (m/s/a)
Math Practices: MP5, MP6
Related CA Standard
4.MG.3.1, 4.MG.3.5, 4.MG.3.7, 4.MG.3.8
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the
presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right
triangles. (Two dimensional shapes should include special triangles, e.g., equilateral, isosceles, scalene, and
special quadrilaterals, e.g., rhombus, square, rectangle, parallelogram, trapezoid.) CA
Essential Skills/Concepts
Teaching Notes/Strategies
Classify two-dimensional figures
based on the presence or absence
of parallel or perpendicular lines or
angles of a specified size.
Use transparencies with lines drawn on them to
arrange two lines in different ways to determine that
the two lines might intersect in one point or may
never intersect. (This increases understanding of
parallel lines.)
Recognize right triangles as a
category of angles.
Identify right angles.
Academic Vocabulary:
Parallel
Perpendicular
Right triangles/angles
Intersect
Equilateral, isosceles, and
scalene triangles
Rhombus, square, rectangle,
parallelogram, trapezoid
Students discuss/write in math journals the
reasoning behind their classification of shapes based
on parallel and perpendicular lines.
Play a classification game: Students use benchmark
angles (see 4.MD.6) to approximate the measurement
of angles (or use a protractor to be accurate), then
use these measurements to classify as acute, obtuse,
or right, as well as equilateral, isosceles, and scalene.
Using 2-D Geometric shapes, students should be able
to identify the types of triangles in special
quadrilaterals—rhombus, square, rectangle,
parallelogram, trapezoid.
Students write the definition of the different
shapes (see academic vocabulary box) in their math
journals using size of angles, parallel/perp. Lines, etc.
in the definition with an accompanying drawing.
Resources
Manipulatives:
2-D Geometry shapes
Transparencies
Geometry software such as
“Geometry Sketchpad”
Math journals
Classifying 2D Shapes
Right Triangles on the Geoboard
Isosceles Triangles on the
Geoboard
Constructing Quadrilaterals
Quadrilateral Criteria
Classifying Triangles 1
Classifying Triangles 2 Triangles
Pack
Triangles on the Geoboard
All available at http://www.k5mathteachingresources.com
Standard: 4.G.3 Cluster (m/s/a)
Math Practices: MP4, MP5, MP6, MP7
Related CA Standard
4.MG.3.4
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be
folded along the line into matching parts. Identify line symmetric figures and draw lines of symmetry.
Essential Skills/Concepts
Teaching Notes/Strategies
Recognize a line of symmetry for a twodimensional figure (a line across the
figure so that it can be folded along the
line into matching parts).
PDIM on symmetry with definitions and
examples written in math journals.
Identify lines of symmetry and lines
that are not lines of symmetry.
Draw lines of symmetry.
Trace objects from math book and fold
them to see if there is a line of
symmetry or to check a line of
symmetry.
Draw shapes and write the lines of
symmetry (if there is any).
Identify symmetry in everyday objects
(i.e., closet doors)
Art work using symmetry.
Resources
Manipulatives:
2-D Geometry shapes
Ruler for drawing lines
Tracing paper to demonstrate symmetry
Math journals
Symmetry on the Geoboard
Symmetry in Shapes
Symmetry in Regular Polygons
Symmetrical Coin Designs
More Symmetrical Coin Designs
All available at http://www.k5mathteachingresources.com
Academic Vocabulary:
Symmetry/symmetric(al)
Line of symmetry