Common Core Learning Standards s2

Common Core Learning Standards

GRADE 4 Mathematics

GEOMETRY

Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Draw and identify lines and angles, and classify shapes by properties of their lines and angles. / Polygons and their properties / Draw points, lines, line segments, rays, angles (right, acute, obtuse), and parallel and perpendicular lines. / § Points
§ Lines
§ Line segments
§ Rays
§ vertex
§ Angles
§ Right
§ Acute
§ Obtuse
§ Parallel lines
§ Perpendicular lines
Identify points, lines, line segments, rays, angles (right, acute, obtuse), and parallel and perpendicular lines in 2D figures.
4.G.1.
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. / Classify angles as right, acute, or obtuse.
SAMPLE TASKS
See Below
I. In the clock below, show a time where the hands would form an obtuse angle.

II. Name a pair of intersecting line segments based on the figure drawn below. Name a pair of parallel lines based on the figure below. Explain the difference between the two sets of lines below.

Intersecting Line Pair: ______Parallel Line Pair: ______
Explain the difference between the two sets of lines:
III. The figure below shows a pair of parallel line segments. Draw a perpendicular line segment through these lines.

What type of angles was formed by the line segment that you drew? ______
IV. Identify the polygons below:

______
V. Name the point at which two line segments come together: ______
VI. Which line segments are perpendicular? ______

Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Draw and identify lines and angles, and classify shapes by properties of their lines and angles. / Classifying two-dimensional figures / Classify 2D figures based on the presence or absence of parallel or perpendicular lines. / § Parallel
§ Perpendicular
§ Angle
§ Right angle
§ Right triangle
§ Two-dimensional figure
Classify 2D figures based on the presence or absence of specified angle measures.
4.G.2.
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. / Define right triangles as their own category and identify right triangles in drawings.
SAMPLE TASKS
See Below
I. What type of triangle does this picture represent? Describe its properties.

Type of Triangle: ______
Describe at least two properties of this triangle:
______
______
II. Mackenzie drew a polygon with two pairs of parallel sides and four right angles. The length is twice as long as the width. What shape best describes the polygon that Mackenzie drew? Draw the polygon below.
Her polygon was a ______. Drawing:
III. Using the clues below, identify the polygon that is being described:
a. The polygon does not have any right angles.
b. There are two acute angles.
c. It also has two obtuse angles.
d. All four sides are equal.
e. There are two pairs of parallel sides.
The polygon is a ______.
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Draw and identify lines and angles, and classify shapes by properties of their lines and angles. / Lines of symmetry / Define lines of symmetry as a line across a figure such that when the figure is folded on this line, both halves match up. / § Line of symmetry
§ Two-dimensional figures
Identify lines of symmetry in two-dimensional figures.
4.G.3.
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. / Draw lines of symmetry on two-dimensional figures.
SAMPLE TASKS
See Below
I. Determine which UPPERCASE letters of the alphabet contain ONLY two lines of symmetry. Draw them below, illustrating their lines of symmetry.
II. Is the line drawn below a line of symmetry? Explain why or why not.

______
______
______
III. On this square, find all possible lines of symmetry. Draw these lines on the figure below.