Standards
Course Descriptions, Unpacking, and Test Item Specifications
October 2014
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Standards in the Course Descriptions
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Standards define what students should understand,
know, and be able to do.
Standards are not curriculum.
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Types of Standards
• Content Standards
• Standards for Mathematical Practice
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MAFS.2.G.1.3
Subject
MAFS Mathematics Florida Standards
Grade
2
Grade Two Mathematics
Domain
G
Geometry
Cluster
1
Reason with shapes and their attributes.
Standard
3
Partition circles and rectangles into two,
three, and four equal shares using the
words halves, thirds, half of, a third of,
etc. and describe the whole as two halves,
three thirds, four fourths. Recognize that
equal shares of identical wholes need not
have the same shape.
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MAFS.912.G-SRT.3.8
Subject
MAFS Mathematics Florida Standards
Grade
912
High School
Conceptual Category G-SRT Geometry- Similarity, Right Triangles, and
and Domain
Trigonometry
Cluster
3
Define trigonometric ratios and solve
problems involving right triangles.
Standard
8
Use trigonometric ratios and the
Pythagorean Theorem to solve right
triangles in applied problems.★
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MAFS.K12.MP.5.1
Subject
MAFS
Mathematics Florida Standards
Grade
K12
Kindergarten through Grade 12
Domain
MP
Mathematical Practice
5
Use appropriate tools strategically.
1
no meaning
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Course Descriptions and Standards
• Course descriptions tell which standards are in a
particular course.
• Standards tell what to teach, not how to teach it.
They are not placed in a particular order within the
course descriptions.
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Locating Standards and Course Descriptions
• www.cpalms.org or www.floridastandards.org
• Standards Info. & Resources
• Course Descriptions & Directory
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After the Course Description
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Unpacking Standards
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Purpose of Unpacking Standards
• new content
• understanding and application
• opportunity not compliance
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Unpacking Content Standards
• answers two questions
• yields three products
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Essential Elements of the Process
• Read...
• Identify and discuss…
• Explore research...
• Determine what the standard…
• Determine how the standard…
• Determine how students...
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Unpacking Mathematics Florida Standards
Grade Level/Course: Grade Two Mathematics
Standard: MAFS.2.G.1.3
Partition circles and rectangles into two, three, or four equal shares, and describe the shares using the words
halves, thirds, half of, a third of, etc. and describe the whole as two halves, three thirds, four fourths. Recognize
that equal shares of identical wholes need not have the same shape.
Concepts and Skills – what students should know and be able to do
Second grade students partition/decompose circles and rectangles into two, three, and four equal shares.
Students should also work with the vocabulary terms halves, thirds, half of, third of, and fourth of.
Students also need to recognize that equal shares of identical wholes may not have the same shape.
Mathematics Formative Assessment (MFAS): mfas.cpalms.org
Different Halves
Different Fourths
Halves, Thirds, and Fourths
How Many Fourths are in a Whole?
Prerequisite Standards:
MAFS.1.G.1.3
Vertical Alignment
Prerequisite Skills/Concepts:
Partition/decompose circles and rectangles into two
and four equal shares and describe these shares using
terms such as halves, fourths, and quarters, and use the
phrases half of, fourth of, and quarter of. Describe the
whole as two of, or four of the shares. Understand for
these examples that decomposing into more equal
shares creates smaller shares.
Future Standards:
MAFS.3.G.1.2
Future Skills/Concepts:
Partition shapes into parts with equal areas. Express
the area of each part as a unit fraction of the whole.
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Bureau of Standards and Instructional Support
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Unpacking Mathematics Florida Standards
Grade Level/Course: Grade 6 Mathematics
Standard:
MAFS.6.G.1.3
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.
Concepts and Skills – what students should know and be able to do
Students need to know how to plot coordinates in all four quadrants.
Students should have an understanding of finding the absolute value of a number.
Mathematics Formative Assessment (MFAS): mfas.cpalms.org
Fence Length
Polygon Coordinates
Polygon Grid
Patio Grid
Prerequisite Standards:
Vertical Alignment
Prerequisite Skills/Concepts:
MAFS.5.G.1.2
Represent real world and mathematical problems by
graphing points in the first quadrant of the coordinate
plane, and interpret coordinate values of points in the
context of the situation.
Future Standards:
Future Skills/Concepts:
MAFS.7.G.1.2
Draw geometric shapes with given parameters. Focus
on constructing triangles from three measures of
angles or sides, noticing when the conditions
determine a unique triangle, more than one triangle, or
no triangle.
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Unpacking Mathematics Florida Standards
Grade Level/Course: Geometry
Standard:
MAFS.912.G-SRT.3.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ★
Concepts and Skills – what students should know and be able to do
Students should be able to:





recognize which trigonometric ratio could be used.
use angle measures to find side lengths.
use side lengths to find angle measures.
model right triangles that describe real-world context by drawing the triangle, labeling the sides and
angles with their given measures, and writing a trigonometric equation.
solve applied problems, including but not limited to angle of elevation and depression, navigation, and
surveying.
Mathematics Formative Assessment (MFAS): mfas.cpalms.org
Washington Monument
Step Up
River Width
Perilous Plunge
Lighthouse Keeper
Holiday Lights
Will It Fly?
TV Size
Prerequisite Standards:
MAFS.8.G.2.7
Vertical Alignment
Prerequisite Skills/Concepts:
Know the Pythagorean Theorem and be familiar with
common Pythagorean triples.
Use the Pythagorean Theorem to solve problems in
both two and three dimensions.
Future Standards:
Future Skills/Concepts:
MAFS.912.G-SRT.4.11
Understand and apply the Law of Sines and the Law of
Cosines to find unknown measurements in right and
non-right triangles.
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Standards and the
Test Item Specification
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Test Item Specifications
• Florida Standards
• content and format for item writers and reviewers
• alignment of items
• information about the scope and function
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Item Specifications Definitions
• Clarifications
• Assessment limits
• Response Mechanisms/Item Types
• Context/Stimulus Attributes
• Also Assesses
*Calculators, Formulas, and Conversions
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Florida STEM Wiki
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Q&A
Bureau of Standards and Instructional Support
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(850)245-0423
Bureau of K-12 Assessment
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(850)245-0513
Bureau of Exceptional Education and Student Services
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(850)245-0475
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Heidi Brennan
K-5 Mathematics and Science Education Program Specialist
Heidi.Brennan@fldoe.org
(850)245-7805
Dr. Jonathan P. Keener
Director of STEM and 6-12 Science Education Program Specialist
Jonathan.Keener@fldoe.org
(850)245-0808
Debra Willacey
Mathematics Education Program Specialist
Debra.Willacey@fldoe.org
(850)245-0830
@MathleteDWill
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www.FLDOE.org
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