MATHEMATICS-10
ESSENTIAL UNIT 1 (E01)
(Place Value, Multiplication, and Expressions)
(July 2013)
Unit Statement: In this unit, the student will explore the relationship among place value
positions and use the various properties of operations to solve problems. The student will
also solve multiplication problems, and use order of operations to evaluate expressions with
grouping in parentheses. 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: (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 use properties of operations to solve problems. (1.3 pp. 13-16)
3. TSW write and evaluate repeated factors in exponent form. (1.4 pp. 17-20)
4. TSW use basic facts and patterns to multiply by multiples of 10, 100, and 1000
mentally. (1.5 pp. 21-24)
5. TSW multiply by one and two digit whole numbers using the standard algorithm.
(1.6 pp. 27-30, 1.7 pp. 31-34)
6. TSW use multiplication to solve division problems. (1.8 pp. 35-38)
7. TSW use the strategy solve a simpler problem to solve problems. (1.9 pp. 39-42)
8. TSW write numerical expressions. (1.10 pp. 43-46)
9. TSW evaluate numerical expressions using parentheses. (1.11 pp. 47-50, 1.12 pp. 51-54)
Introduced and Practiced Outcomes: (taught not assessed)
1. The Student Will identify, read and write whole numbers through hundred millions.
(1.1 pp. 5-8, 1.2 pp. 9-12)
Key Terms and Concepts:
multiply
place value
period
Distributive Property
factor
QSI MATHEMATICS-10 E01
Copyright © 1988-2013
product
base
exponent
estimate
inverse operations
5
quotient
numerical expression
evaluate
order of operations
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 AG37-AG50)
GM! 5 – Reteach Book (pages R1-R12)
GM! 5 – Enrich Book (pages E1-E12)
Project: In the Chef’s Kitchen – Teacher Edition (page 2), Online Projects (pages B1-B2)
Suggested Resources:
GM! 5 – Teacher Edition - Chapter 1: Place Value, Multiplication, and Expressions
GM! 5 – Student Edition (pages 1-58)
GM! 5 – Standards Practice Book (pages P1-P28)
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 – Segments 3 and 4
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. 1
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:
Base-ten blocks
Counting tape
About Teaching Mathematics: A K-8 Resource by Marilyn Burns
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 E01
Copyright © 1988-2013
6
SUGGESTED RUBRIC Mathematics-10 E01
Student Name: ____________________________________
Date: _______________________
(Place Value, Multiplication, and Expressions):
 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- use properties of
operations to solve
problems.
3- write and evaluate
repeated factors in exponent
form
4- use basic facts and
patterns to multiply by
multiples of 10, 100, and
1000 mentally.
5- multiply by one and two
digit whole numbers.
6- use multiplication to
solve division problems
7- use the strategy solve a
simpler problem to solve
problems.
The student is able to
clearly and effectively
explain the reasoning
behind the strategy solve a
simpler problem to
correctly solve problems.
8- write numerical
expressions.
9- evaluate numerical
expressions using
parentheses.
Student is able to
critically evaluate
incorrect use of order of
operations and explain
where errors were made.
7
QSI MATHEMATICS-10 E01
Copyright © 1988-2013
‘B’ LEVEL
The student is
consistently able to
apply skills in unit in
real world application
problems.
Notes
The student is able to use
properties of operations to
solve problems.
The student is able to write
and evaluate repeated
factors in exponent form.
The student is able to use
basic facts and patterns to
multiply mentally by
multiples of 10, 100, and
1000.
The student is able to
multiply by one and two
digit whole numbers.
The student is able to use
multiplication to solve
division problems.
1.3
The student is able to
consistently use the
strategy solve a simpler
problem to correctly solve
problems.
1.9
The student is able to
correctly write numerical
expressions.
The student is able to
evaluate numerical
expressions using
parentheses, brackets, and
braces.
1.10
1.4
1.5
1.6 1.7
1.8
1.11 1.12