MATHEMATICS-10
ESSENTIAL UNIT 10 (E10)
(Geometry and Volume)
(July 2013)
Unit Statement: In this unit, the student will identify and classify polygons, as well as
classify triangles and quadrilaterals using their properties. The student will also identify,
describe, and classify three-dimensional figures, as well as estimate and find the volume of
rectangular prisms. In order to be successful in this unit, the student is expected to be
familiar with the Key Terms and Concepts listed below.
Essential Outcomes: (these must be assessed for mastery)
Problem solving and higher order thinking components are essential for A-level mastery.
Each TSW can contain problem solving and higher order thinking components (as found
in suggested text).
1. The Student Will apply unit skills and concepts to real world application problems.
2. TSW identify and classify polygons. (11.1 pp. 441-444)
3. TSW classify and draw triangles using their properties. (11.2 pp. 445-448)
4. TSW classify and compare quadrilaterals using their properties. (11.3 pp. 449-452)
5. TSW solve problems using the strategy act it out. (11.4 pp. 453-456)
6. TSW identify, describe, and classify three-dimensional figures. (11.5 pp. 457-460)
7. TSW explain how unit cubes can be used to build a solid figure, and count unit cubes
that fill a solid figure to find volume. (11.6 pp. 463-466, 11.7 pg. 467-470)
8. TSW find the volume of rectangular prisms. (11.9 pp. 475-478)
9. TSW use a formula to find the volume of a rectangular prism. (11.10 pp. 479-482)
Introduced and Practiced Outcomes: (taught not assessed)
1. The Student Will estimate the volume of a rectangular prism. (11.8 pp. 471-474)
2. TSW use the strategy make a table to compare volumes. (11.11 pp. 483-486)
3. TSW find the volume of combined rectangular prisms. (11.12 pp. 487-490)
Key Terms and Concepts:
congruent
equilateral
heptagon
triangle
nonagon
isosceles
polygon
triangle
regular
scalene triangle
polygon
acute triangle
decagon
obtuse triangle
hexagon
right triangle
octagon
parallel lines
pentagon
parallelogram
quadrilateral
QSI MATHEMATICS-10 E10
Copyright © 1988-2013
perpendicular
lines
rectangle
rhombus
trapezoid
base
decagonal prism
hexagonal prism
lateral face
octagonal prism
33
pentagonal
prism
pentagonal
pyramid
polyhedron
prism
pyramid
unit cube
cubic unit
volume
Suggested Assessment Tools and Strategies:


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
Attached rubric or teacher generated rubric that assesses ALL essential outcomes (TSW’s)
GM! 5 – Assessment Guide (pages AG177-AG190)
GM! 5 – Reteach Book (pages R89-R100)
GM! 5 – Enrich Book (pages E89-E100)
Suggested Resources:
GM! 5 – Teacher Edition - Chapter 11: Geometry and Volume
GM! 5 – Student Edition (pages 439-494)
GM! 5 – Standards Practice Book (pages P217-P244)
GM! 5 – Grab-and-Go Differentiated Centers Kit
GM! 5 – Response to Intervention
GM! 5 – MathBoards
Go Math! 5 Digital Path resources:
GM! 5 – Professional Development Video Podcasts
GM! 5 – eStudent Edition
GM! 5 – eTeacher Edition
GM! 5 – iTools
GM! 5 – Animated Math Models
GM! 5 – HMH Mega Math
GM! 5 – Carmen Sandiego Math Detective Activities
GM! 5 – Real World Video, Ch. 11
GM! 5 – Online Assessment System
Additional Resources:
These materials will not be provided automatically, but schools are encouraged to
purchase them to support the course:
Quadrilaterals (eTeacher Resources)
Rectangular Prism Net A (eTeacher Resources)
Rectangular Prism Net B (eTeacher Resources)
Base-ten blocks
Counting tape
centimeter ruler
protractor
scissors
tracing paper
centimeter cubes
2 boxes – different sizes
A Collection of Math, Grades 6-8 by Marilyn Burns
A Collection of Math Lessons: from Grades 3-6 by Marilyn Burns
Technology Links:
See Suggested Resources for Digital Path resources that are included with Go Math! 5
Destiny WebPath Express (school library site)
www.eduplace.com/math/mw
www.khanacademy.org
www.tenmarks.com/
www.internet4classrooms.com
www.softschools.com/
www.apples4theteacher.com/math.html
www.woodlands-junior.kent.sch.uk/maths/
www.aplusmath.com
www.aaamath.com
http://mathforum.org
QSI MATHEMATICS-10 E10
Copyright © 1988-2013
34
SUGGESTED RUBRIC Mathematics-10 E10
Student Name: _______________________Date: ______________________
(Geometry and Volume)


To receive a ‘B’, the student must show ‘B’ level mastery on ALL Essential Outcomes (TSW’s).
To receive an ‘A’, the student must show ‘A’ level mastery in all available ‘A’ level TSW’s and ‘B’
level mastery on all of the remaining TSW’s
TSW
1- apply unit skills and
concepts to real world
application problems.
‘A’ LEVEL
The student is consistently able
to apply skills from the unit in
real world application
problems. Student is able to
justify answers and explain
thinking with a high level of
clarity and complexity.
2- identify and classify
3- classify and draw
triangles using their
properties.
4- classify and compare
quadrilaterals using their
properties.
the strategy act it out.
Notes
The student is able to
11.1
identify and classify
polygons.
The student is able to
11.2
classify and draw triangles
using their properties.
The student is able to
11.3
classify and compare
quadrilaterals using their
properties.
polygons.
5- solve problems using
‘B’ LEVEL
The student is consistently
able to apply skills from
the unit in real world
application problems.
The student is able to clearly
and effectively explain the
reasoning behind the strategy
act it out to correctly solve
problems.
6- identify, describe, and
classify threedimensional figures.
7- explain how unit
cubes can be used to
build a solid figure, and
count unit cubes that
fill a solid figure to find
volume.
8- find the volume of
rectangular prisms.
9- use a formula to find
the volume of a
rectangular prism.
QSI MATHEMATICS-10 E10
Copyright © 1988-2013
35
The student is able to solve
problems using the strategy
act it out.
11.4
The student is able to
identify, describe, and
classify three-dimensional
figures.
The student is able to
explain how unit cubes
can be used to build a
solid figure, and count
unit cubes that fill a solid
figure to find volume.
11.5
The student is able to find
the volume of rectangular
prisms.
The student is able to use a
formula to find the volume
of a rectangular prism.
11.9
11.6, 11.7
11.10