2014-2015 Curriculum Blueprint
Grade:
4
Course: Math
Approximate Time:
8 Days
Unit 12: Angle Measurement
Learning Goal
Students understand angle and turn measure and are able to draw points, lines, segments, rays, and
angles.
Unit Overview
Students draw points, lines, segments, rays, and angles in order to develop an understanding of angle
and turn measure. Students use their understanding of equal partitioning and unit measurement to
understand angle and turn measure.
Link to Angles Learning Scale
Essential Question(s)
How do points, lines, segments, rays, and angles help with understanding geometric shapes?
Focus Standards
Some standards may be revisited several times during the course; others may be only
partially addressed in different units, depending on the focus. The text of the standards
written in black font denote this focus. Text which is deemphasized with gray font will not
be addressed in this unit, but will be addressed in subsequent units. (adapted from the
Charles A. Dana Center)
Bullets are the deconstructed standards These should be used to develop concise learning
statements/daily objectives/scales. Test Item Specifications
MAFS.4.MD.3.5 (DOK 1) Recognize angles as geometric shapes that are formed wherever two rays
share a common endpoint, and understand concepts of angle measurement:
a) An angle is measured with reference to a circle with its center at the common endpoint of the
rays, by considering the fraction of the circular arc between the points where the two rays
intersect the circle. An angle that turns through 1/360 of a circle is called a “one‐degree angle,”
and can be used to measure angles.
b) An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
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Define angle.
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Recognize a circle as a geometric figure that has 360 degrees.
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Recognize and identify an angle as a geometric shape formed from 2 rays with a common
endpoint.
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Recognize that an angle is a fraction of a 360 degree circle.
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Explain the angle measurement in terms of degrees.
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Compare angles to circles with the angles point at the center of the circle to determine the
measure of the angle.
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Calculate angle measurement using the 360 degrees of a circle.
Vertical Progression
http://www.turnonccmath.net/ K-8 Learning Trajectories (This could be used to determine remediation
needs or enrichment opportunities)
3rd Grade: Students compare and classify shapes by attributes, sides, and angles.
7th Grade: Students draw geometric shapes with given conditions focusing on constructing triangles
from three measures of angles or sides.
Resources
Be selective in choosing problems aligned to the
standards within each lesson. The unit sequence should
be determined through collaborative unit planning.
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Textbook Correlation
11.1: Right Angles
11.2: Benchmark Angles
11.3: Angles and Turns
11.4: Classify Angles by Using Benchmark Angles
11.5: Draw Angles in 2-Dimensional Shapes
11.6: Problem Solving with Angles
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There is no correlation in Go Math with
MAFS.4.MD.3.6 or MAFS.4.MD.3.7. Please
refer to the supplemental resources for
practice with measuring using a protractor.
Supplemental Resources
These resources may provide students with experiences
aligned to the full intent of the standards. It is important
MAFS.4.MD.3.6 (DOK 2) Measure angles in whole-number degrees using a protractor. Sketch angles of
to access many of these resources during the planning
specified measure.
process.
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Recognize that angles are measured in degrees (°.)
Math Formative Assessment System (MFAS)
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Read a protractor.
These formative assessments could be used before
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Essential Vocabulary
Acute angle
Clockwise
Counterclockwise
Degree
Obtuse Angle
Protractor
Reflex Angle
Right Angle
Straight Line
Vertex
Point
Line
Line segment
Ray
Decompose
Higher Order Questions/Stems
How are angles and circles related?
How will a protractor help you?
Describe a real world situation that
would involve angles.
Describe a real world situation that
would involve angles as they relate to
Updated 8/18/2014 pg. 1
2014-2015 Curriculum Blueprint
Grade:
4
Course: Math
Approximate Time:
8 Days
Unit 12: Angle Measurement
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Determine which scale on the protractor to use, based on the direction the angle is open.
Determine the kind of angle based on the specified measure to decide reasonableness of the
sketch.
Measure angles in whole-number degrees using a protractor.
Sketch angles of specified measure.
MAFS.4.MD.3.7 (DOK 2) Recognize angle measure as additive. When an angle is decomposed into nonoverlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve
addition and subtraction problems to find unknown angles on a diagram in real world and
mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
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Recognize that an angle can be divided into smaller angles.
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Solve addition and subtraction equations to find unknown angle measurements on a diagram.
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Find an angle measure by adding the measurements of the smaller angles that make up the
larger angle.
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Find an angle measure by subtracting the measurements of the smaller angle from the larger
angle.
MAFS.4.G.1.1 (DOK 1) Draw points, lines, line segments, rays, angles (right, acute, obtuse), and
perpendicular and parallel lines. Identify these in two-dimensional figures.
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Analyze two-dimensional figures to identify points, lines, line segments, rays, angles (right,
acute, obtuse), and perpendicular and parallel lines.
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Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and
parallel lines.
Mathematical Practice Standards
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.4.1 Model with mathematics.
MAFS.K12.MP.5.1Use appropriate tools strategically.
MAFS.K12.MP.6.1 Attend to precision.
instructing a lesson on similar content to help formulate
small groups or they may be used however PLCs see best
for their students. Each formative assessment comes
with a rubric and instructional implications based on the
level of student understanding.
MAFS.4.MD.3.5
Lawn Sprinkler
Circle the Angles
This Angle
Determining An Angle’s Measure
MAFS.4.MD.3.6
Town of Happyville
Using a Protractor to Draw Angles
Measuring Angles with a Protractor
Drawing and Measuring Angles
MAFS.4.MD.3.7
What is the Measure of the Angle?
Using Unknown Angles
Turns on a Skateboard
Understanding Angles
MAFS.4.G.1.1
Lines, Rays, and Line Segments
Locating Points, Lines, and Rays
All about Angles
4th Grade Common Core Flip Book Provides additional
information and sample problems for every standard
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circles.
What makes it a ________ angle?
How many different ways can you
decompose an angle?
Writing Connections
Compose a written summary to justify
your conclusion.
Compare and contrast two shapes based
on their angles.
Explain how you determined the
measurement of an angle.
Write about a job in which the employee
would need to understand the
relationship of circles and angles.
Writing Template Tasks These template tasks
are designed from the Mathematical Practice
Standards. When filled in, these templates
become teaching tasks that create
opportunities for teaching literacy skills in
mathematics.
Link to Problem Solving Rubric
Link to Webb’s DOK Guide
Georgia Unit 7
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Angles: p. 100-151
Georgia Unit 6
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Angles in Shapes: p.12-33
Engage NY Module 4
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Topic A, Topic B, Topic C (Decomposing Angles)
Florida Interim Assessment Item Bank and Test Platform
Updated 8/18/2014 pg. 2