MATHEMATICS-11
ESSENTIAL UNIT 3 (E03)
(Decimals)
(July 2013)
Unit Statement: In this unit, the student will read, write, compare, and order decimals. The
student will also use rounding to estimate answers to problems that involve decimals and
solve decimal equations. 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 name (in expanded, standard, and word form), compare, and
order decimals using place value and number lines. (3-1, pp. 94-97)
2. TSW estimate the sum, difference, product, and quotient of decimals by rounding,
using compatible numbers, and front-end estimation. (3-2, pp. 98-101)
3. TSW solve addition and subtraction of multi-digit decimals using the standard
algorithm for each operation. (3-3, pp. 104-107)
4. TSW multiply the decimal (expression) by whole numbers and by decimals. (3-4,
pp. 112-115)
5. TSW divide the decimal (expression) by whole numbers and by decimals. (3-5 and
3-6, pp. 116-122)
6. TSW solve (story) problems by interpreting the quotient. (3-7, pp. 123-125)
7. TSW solve (one-step) equations involving decimals. (3-8, pp. 126-129)
8. TSW demonstrate the correct procedures and strategies solving real-world
problems with decimals by using variables and writing expressions. (pp. 97,
109, 115, 120, and 131)
Introduced and Practiced Outcomes: (taught not assessed)
1. The Student Will identify the place value of underlined digits (p. 91).
2. TSW solve addition, subtraction, multiplication, and division of whole numbers (p. 91).
3. TSW identify values for exponents (p. 91).
4. TSW solve one-step equations (p. 91).
Key Terms and Concepts:
Difference
Dividend
Divisor
Evaluate
Equation
Ones/tens/etc.
Quotient
Clustering
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QSI MATHEMATICS-11 E03
Copyright © 1988-2013
Front-end estimation
Standard form
Extended form
Word form
Suggested Materials:
Teacher’s Edition, Chapter 3, Holt McDougal, Mathematics, grade 6.
Suggested Assessment Tools and Strategies:
 Attached rubric or teacher generated rubric that assesses ALL essential outcomes
(TSWs).
 Assessments created by the teacher (ExamView CD-ROM).
 Chapter 3 tests on the ‘Teacher One Stop’ CD-ROM or in the Assessment
Resources (Holt McDougal, Mathematics, Grade 6)
 Students keep a Math journal in which they write about real-life situations
connected to their TSW’s (TSW 8, TE: p. 93). Students can use this same journal
to rewrite explanations given as paragraphs as steps or a list (TE: p. 45).
 Students do online research to learn more about Puget Sound’s ferry system (or
any other transport system). Then ask them to use the schedules and/or information
about the routes to write original problems that involve decimal operations (TSW
8, p.131 TE).
 Students can design, create, and play a game (Don’t Say the Word, Memory,
Pictionary, Scrabble, Word Wall, etc.) where they can prove their understanding of
the Key Terms and Concepts (TSW 1-7).
Additional Resources:
 G is for Googol: A Math Alphabet Book by David Schwartz (see page 93 TE).
 Family Math by Jean Kerr Stenmark, Virginia Thompson, Ruth Cossey, and
Marilyn Hill
Technology Links:
 Destiny WebPath Express (school library site)
 Lesson Tutorial Videos for every lesson (CD-ROM, Holt McDougal, Mathematics,
Grade 6)
 Power Point Presentations for every lesson (CD-ROM; Teacher One Stop, Holt
McDougal, Mathematics, Grade 6)
 http://my.hrw.com (Holt McDougal's online math tools)
 www.ixl.com/math (online practice for students)
 www.tenmarks.com (online supplemental math program)
 www.khanacademy.org (online practice for students)
Suggested rubric found on following page……..
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QSI MATHEMATICS-11 E03
Copyright © 1988-2013
SUGGESTED RUBRIC MATH-11 E03
Student Name: __________________________
-
Date: _______________________
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 on all two available TSW’s and
‘B’ level mastery on all of the remaining TSW’s.
‘A’ LEVEL
TSW
1- TSW name,
compare, and order
decimals using place
value and number lines.
‘B’ LEVEL
The student is consistent in
naming, comparing and
ordering decimals.
2- estimate the sum,
difference, product, and
quotient of decimals by
rounding, using
compatible numbers,
and front-end
estimation.
3- solve addition and
subtraction of multidigit decimals using the
standard algorithm for
each operation.
4- multiply the decimal
(expression) by whole
numbers and by
decimals.
The student is fluent in
estimating the sum,
difference, product, and
quotient of decimals by
rounding, using compatible
numbers and using frontend estimation.
The student consistently
uses the standard algorithm
to solve addition and
subtraction of multi-digit
decimals.
The student correctly
solves multiplication
problems with decimals
consistently.
5- divide the decimal
(expression) by whole
numbers and by
decimals.
6- solve problems by
interpreting the
quotient.
The student correctly
solves division problems
with decimals consistently.
The student constructs
viable arguments in
solving problems and
critiques the reasoning of
other quotients.
7- solve equations
involving decimals.
8- demonstrate the
correct procedures and
strategies solving realworld problems with
decimals by using
variables and writing
expressions.
The student shows
consistency in interpreting
the quotient in (story)
problems.
The student is consistent in
solving decimal equations.
The student publishes a
high quality report with
original problems that
involve decimal
operations.
The student consistently
demonstrates the correct
procedure and strategy to
solve decimals in realworld applications.
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QSI MATHEMATICS-11 E03
Copyright © 1988-2013
Notes