Download Unit 8 - Kyrene School District

KYRENE SCHOOL DISTRICT
GRADE 4 REVISED 5/20/16
Grade 4 Focus Unit 8: Geometry and
Measurement
Suggested Duration: 3 weeks
Measurement- In this unit students develop ideas involving measurement and conversions of measurement from a
larger to a smaller unit.
Geometry-In this unit students develop ideas about the attributes of 2-dimensional and 3-dimensional shapes, and how
these attributes determine their classification. They also develop ideas about linear measurement, including perimeter,
area, and the measurement of angles.
Enduring Understandings
Stage 1 Desired Results
Essential Questions
STANDARDS ASSESSED IN THIS UNIT:
Major content standards listed in BOLD, Supporting content standards in italics
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.;
l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in
4.MD.A.1
terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know
that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion
table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36).
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes,
masses of objects, and money, including problems involving simple fractions or decimals, and
4.MD.A.2
problems that require expressing measurements given in a larger unit in terms of a smaller unit.
Represent measurement quantities using diagrams such as number line diagrams that feature a
measurement scale.
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
4.MD.C.5
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.
4.MD.C.6
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the
angle measure of the whole is the sum of the angle measures of the parts. Solve addition and
4.MD.C.7
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.
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel
4.G.A.1
lines. Identify these in two-dimensional figures.
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or
4.G.A.2
the presence or absence of angles of a specified size. Recognize right triangles as a category, and
identify right triangles.
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the
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figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines
of symmetry.
Note: If you find a link is broken or not working, please contact your math coach or the Curriculum & Learning Services
Department.
KYRENE SCHOOL DISTRICT
GRADE 4 REVISED 5/20/16
Stage 3: Plan for Learning
Principle Resources and Routines:
Academic Vocabulary
Geometry
 Classify - categorize
IDS Unit 4: Size, Shape, and Symmetry
 Acute angle – an angle smaller than a right angle
*include Common Core sessions 2.3A and 3.4A
(less than 90 degrees)
*combine sessions 4.1 and 4.2
 Adjacent angle – two angles that share a
*exclude sessions 4.3 and 4.4
common ray and endpoint
 Angle(s) – two rays that share an endpoint
AND
 Line – the shortest distance between any two
points on a plane
Engage New York Module 4 Lessons 10 and 11
 Horizontal – a straight line on a coordinate plane
(These word problems support 4.MD.7)
where all points on the line the same y
coordinate
For more practice measuring angles with a protractor, see
 Line segment – a part of a line that connects two
ENY Mod 4 lessons 7 and 8
points
 Obtuse angle – a angle measuring more than 90
degrees but less than 10 degrees
 Parallel – two lines in a plane that do not
intersect
 Perpendicular – lines that are at right angles (90
degrees) to each other
 Plane – a flat two-dimensional figure
 Plot – used to pinpoint where places on a line are
located to show data
 Point – an exact position or location on a plane
surface
 Ray – a line that starts at a point and goes off in a
particular direction to infinity
 Reflection – a mirror image of a geometric figure
 Right angle – an angle that measures exactly 90
degrees
 Straight angle – an angle that measures exactly
180 degrees
 Symmetry – an object in symmetrical when one
half is a mirror image of the other half
 Vertex – point at which two line segments meet
to form an angle
 Vertical – an up/down position
Measurement
 Area – the size of a surface
 Decomposing ( in regards to angles) - breaking
apart
 Degree – a unit for measuring angles and
temperatures
 Grams (g) – a metric unit of mass
Note: If you find a link is broken or not working, please contact your math coach or the Curriculum & Learning Services
Department.
KYRENE SCHOOL DISTRICT
GRADE 4 REVISED 5/20/16
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Hours (hr)
Kilograms (kg) - a metric unit of mass
Line plot - a number line with and x placed above
the corresponding value on the line for each
piece of data
Liters (l) - a metric unit of volume, usually to
measure liquid
Metric system – measurement system that
measures length in millimeters, centimeters,
meters and kilometers; capacity in liters and
milliliters; mass in grams and kilograms; and
temperature in degrees Celsius
Minutes (min) – a period of time equal to 60
seconds
Ounces (oz) – a unit of weight equivalent to onesixteenth of a pound
Pounds (lb) – in US customary, a unit of
mass/weght
Seconds (sec) – a period of time equal to 1/60th of
a minute
Meeting the Needs of All Students
Resources for Enrichment and Intervention
Possible Universal Design for Learning for This Unit
 UDL Guidelines 2.0 with links to examples
4.MD.A.1 Games:
 UDL Learning Wheel – scroll through the
4.MD.C.5 Games:
interactive tool to find examples for providing
4.MD.C.6 Games:
UDL supports
4.MD.C.7 Games:
4.G.A.1 Games:
Multiple Means of Representation (WHAT)
4.G.A.2 Games:
Recognition--the ways information is presented
4.G.A.3 Games:
Multiple Means of Action and Expression (HOW)
Strategic--participation or demonstration of knowledge
and skills
Provide options for...
Multiple Means of Engagement (WHY)
Affective--How students are engaged and motivated
Note: If you find a link is broken or not working, please contact your math coach or the Curriculum & Learning Services
Department.