Math Grade Six Daily Learning Guide
Core Content: Multiplication and Division of Fractions and Decimals
Timeline: 35 Lessons Total/Minimum 8-9 Weeks
STANDARD
Language Objective
ELD Standard
6.1A: Compare and
order non-negative
fractions, decimals
and integers using
the number line, lists,
and the symbols <. >,
and =.
Performance
How can you
compare and order
whole numbers,
fractions, and
decimals through
hundredths?
Lessons and Objectives
Vocabulary
Benchmark
Number line
Greater than
Less than
Equal to
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Found throughout Bits
and Pieces I, Bits and
Pieces II, and Bits and
Pieces III.
Include ACE
Questions for
investigations
Supplemental
Materials:
Math Steps pgs 41, 85,
86, 88
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
Algorithm
Bits and Pieces II:
6.1B: Represent
How can I draw an
Benchmark
Investigations 3 and 4
multiplication and
area model to
Denominator
division of nonillustrate a fraction?
Equivalent fractions
Include ACE
negative fractions
Fact family
Questions for
and decimals using
How can a number
Numerator
investigations
area models, number
line represent a
Reciprocal
lines, and connect
fraction?
Unit fraction
Bits and Pieces III:
each representation
Dividend
Investigations 2 and 3.
to the related
How can I use area
Divisor
equation.
models and number
Improper Fraction
Include ACE
lines to accurately
Mixed Number
Questions for
multiply and divide
investigations
fractions and
decimals?
Supplemental
Materials:
Math Steps pgs 45-48,
51-58, 107-122
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
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Math Grade Six Daily Learning Guide
6.1C: Estimate
products and
quotients of fractions
and decimals
What are
benchmarks and how
can they be helpful?
How can I use
benchmarks and
mental math to
accurately estimate
the products and
quotients of fractions
and decimals?
Estimate
Product
Quotient
Dividend
Divisor
Decimal
Benchmark
Improper Fraction
Mixed Number
Bits and Pieces II:
Investigations 3 and 4
Bits and Pieces III:
Investigations 2 and 3.
Include ACE
Questions for
investigations
Supplemental
Materials: Same
pages from Math Steps
in the previous
standards.
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
Fact Family
Bits and Pieces II:
6.1D: Fluently and
Can I multiply and
Algorithm
Investigations 3 and 4.
accurately multiply
divide non-negative
Reciprocal
and divide nonfractions with 100%
Numerator
Include ACE
negative fractions
accuracy?
Denominator
Questions for
and explain my
Unit Fraction
investigations
algorithm.
Am I able to explain
Equivalent Fractions
an algorithm for
Benchmark
accurately
Supplemental
Improper Fraction
multiplying and
Materials:
dividing non-negative Mixed Number
Math Steps pgs
fractions?
107-122 for fractions
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Math Grade Six Daily Learning Guide
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
6.1E: Multiply and
divide whole
numbers and
decimals by 1,000,
100, 10, 1, .1, .01, and
.001 and explain the
patterns I see.
What happens to
decimals and whole
numbers when I
multiply or divide by
1,000, 100, 10, 1, .1,
.01, and .001?
What are the
patterns I notice
when I multiply or
divide by 1,000, 100,
10, 1, .1, .01, and
.001?
Dividend
Divisor
Powers of Ten
Quotient
Repeating Decimal
Terminating Decimal
Bits and Pieces III:
Investigations 2 and 3.
Include ACE
Questions for
investigations
Supplemental
Materials:
Math Steps pgs
54-55
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
Dividend
Bits and Pieces III:
6.1F: Fluently and
Can I multiply and
Divisor
Investigations 2 and 3
accurately multiply
divide non-negative
Powers of Ten
for decimals.
and divide nondecimals with 100%
Quotient
negative decimals.
accuracy?
Repeating Decimal
Include ACE
Terminating Decimal
Questions for
Can I use previous
investigations
strategies to multiply
and divide nonnegative decimals
Supplemental
without a calculator?
Materials:
Math Steps pgs 45-60
for decimals
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Math Grade Six Daily Learning Guide
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
6.1G: Describe the
effect of multiplying
or dividing a number
by one, by zero, by a
number between zero
and one, and by a
number greater than
one and explain
patterns I see.
What happens when
I multiply or divide
any number by one?
By a number less
than one? By a
number between zero
and one? By a
number greater than
one?
What are the
patterns I notice?
Dividend
Divisor
Powers of Ten
Quotient
Repeating Decimal
Terminating Decimal
Bits and Pieces II:
Investigations 3 and 4
for fractions.
Bits and Pieces III:
Investigations 2 and 3
for decimals.
Supplemental
Materials:
Math Steps pgs 45-60
for decimals
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
Dividend
Multiple story
6.1H: Solve single
Can I multiply and
problems found
and multi-step story
divide fractions using Divisor
Powers of Ten
throughout Bits and
problems involving
real-life examples?
Quotient
Pieces II:
operations with
Repeating Decimal
Investigations 3 and 4
fractions and
Can I multiply and
for fractions.
decimals and explain
divide decimals using Terminating Decimal
how I got my
real-life examples?
Multiple story
solution.
problems found
Can I communicate
throughout Bits and
my solution to
Pieces III:
another person?
Investigations 2 and 3
for decimals.
Include ACE
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Math Grade Six Daily Learning Guide
Questions for
investigations
Supplemental
Materials:
Math Steps pgs 114,
116, 120, 122, 124 for
fractions. Pgs 50, 5960, 64 for decimals.
Assessment: Assessment for Standard 6.1 is included in the Benchmark 1 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for Bits I, Bits II, and Bits III
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Math Grade Six Daily Learning Guide
Core Content: 6.2 Mathematical Expressions and Equations
Timeline: Approx 23 Lessons, 4-5 Weeks
STANDARD
Language Objective
ELD Standard
6.2 A
Write a mathematical
expression or equation
with variables to
represent information
in a table or given
situation
Performance
Why are variables
used?
When are algebraic
and numeric
expressions used?
Lessons and Objectives
Vocabulary
Variable
Expression
Equation
Rule
Resources and Pacing
Formative Assessment
I can write a number
sentence, expression,
or equation from a
context.
Notes and Self
Reflection
Adopted Materials
Variables & Patterns
Inv. 3.1>3.3
ACE questions
Supplemental
Materials
Math Steps
p. 33-34
p.289-290
(Approx. 4 Sessions)
Assessment: Checkpoints include OSPI Benchmark 3, CMP2 Assessment Resources, and End of Unit Assessment
What are different
X axis
6.2 B
ways to represent
Y axis
Draw a first quadrant
patterns or
Dependent Variable
graph in the coordinate
relationships?
Independent Variable
plane to represent
Table
information in a table
What information does Coordinate pair
or given situation
a chart or table give?
Coordinate graph
Scale
I can draw a
Data
coordinate graph and
Relationship
interpret information.
Adopted Materials
Variables & Patterns
1.1>1.5
2.1>2.3
ACE questions
Supplemental
Materials
(Approx. 10 sessions)
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
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STANDARD
Language Objective
ELD Standard
6.2 C
Evaluate mathematical
expressions when the
value for each variable
is given
Math Grade Six Daily Learning Guide
Performance
How can a variable
transform itself?
Lessons and Objectives
Vocabulary
Order of Operations
Variable
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
I can evaluate an
expression with given
values for each
variable.
Supplemental
Materials
Math Steps
p. 8
p.17
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
How do number
Property
6.2 D
properties assist in
Commutative (+/x)
Apply the
computation?
Associative (+/x)
Commutative,
Distributive
Associative, and
How would you
Order of Operations
Distributive Properties
describe the order of
Evaluate
and use the Order of
operations?
Simplify
Operations to evaluate
mathematical
I can apply numerical
expressions.
properties when I
evaluate number
sentences.
Adopted Materials
Supplemental
Materials
Math Steps
p.7
p.16
p.22-23
Assessment: Checkpoints include OSPI Benchmark 3 and End of Unit Assessment
c
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STANDARD
Language Objective
ELD Standard
6.2 E
Solve one-step
equations and verify
solutions
Math Grade Six Daily Learning Guide
Performance
What strategies can be
used to solve for
unknowns in an
algebraic equation?
Lessons and Objectives
Vocabulary
Inverse Operations
Verify
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
I can solve one step
number sentences that
contain a variable and
check for accuracy.
Supplemental
Materials
Math Steps
p. 9-11 (+/-)
p.30-32 (x/÷)
p.61-62 (w/dec)
p. 125-126 (w/frac)
Assessment: Checkpoints include OSPI Benchmark 3 and End of Unit assessment
What predictions can
6.2F
the patterns or
Solve word problems
relationships support?
using mathematical
expressions and
How can we use or test
equations and verify
our predictions?
solutions
Are they valid?
Adopted Materials
Supplemental
Materials
I can solve real world
problems by using
number sentences and
equations and verify
my solutions.
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
Core Content: Ratios, Rates, and Percents
STANDARD
Language Objective
ELD Standard
6.3A: Write ratios to
Burlington Edison Revised June 2011
Performance
What is the
Math Steps
p. 24-25
Timeline: 10 Lessons Total/Minimum 3—4 weeks
Many lessons from standard 6.1 also cover standard 6.3
Lessons and Objectives
Vocabulary
Ratio
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Bits and Pieces I
8
Math Grade Six Daily Learning Guide
compare part to part
and part to whole
relationships.
difference between
“part-to-part” and
“part-to-whole?”
Can I show a part to
whole ratio?
Equivalent Fractions
Numerator
Denominator
Improper Fraction
Mixed Number
Investigations 1-4
Include ACE
Questions for
investigations
Supplemental
Materials:
Can I show a part to
part ratio?
Math Steps pgs 153160
Assessment: Assessment for Standard 6.3 is included in the Benchmark 2 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for How Likely Is It, Covering
and Surrounding, and Bits I, II, and III
Ratio
Bits and Pieces I
6.3B: I can write a
Can I write a ratio
Equivalent Fractions
Investigations 1-4
ratio to represent a
from a real-life
Numerator
variety of rates.
problem involving
Denominator
Include ACE
rates?
Improper Fraction
Questions for
Mixed Number
investigations
Supplemental
Materials:
Math Steps pgs 153160
Assessment: Assessment for Standard 6.3 is included in the Benchmark 2 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for How Likely Is It, Covering
and Surrounding, and Bits I, II, and III
6.3C: Represent
percents visually and
numerically and
show how percents,
decimals, and
fractions are related.
Do I understand how
decimals, percents,
and fractions are
related?
Can I represent a
percent by using a
picture?
Can I represent a
percent numerically
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Percent
Decimal
Fraction
Bits and Pieces I
Investigations 1-4
Include ACE
Questions for
investigations
Supplemental
Materials:
Math Steps pgs 1679
Math Grade Six Daily Learning Guide
178
and compare it to a
fraction or decimal?
Assessment: Assessment for Standard 6.3 is included in the Benchmark 2 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for How Likely Is It, Covering
and Surrounding, and Bits I, II, and III
Ratio
Multiple story
6.3D: Solve single
Can I solve real-life
Rates
problems found
and multi-step story
story problems
Percents
throughout Bits and
problems involving
involving rations,
Fraction
Pieces I
ratios, rates, and
rates, and percents?
Decimal
Investigations 1-4
percents and explain
why the answer
Can I communicate
Include ACE
makes sense.
my answer to another
Questions for
person and show why
investigations
my answer makes
sense?
Supplemental
Materials:
Multiple story
problems found
throughout Math Steps
pgs 167-178
Assessment: Assessment for Standard 6.3 is included in the Benchmark 2 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for How Likely Is It, Covering
and Surrounding, and Bits I, II, and III
6.3E: Identify the
ratio of the
circumference to the
diameter of a circle
using pi and also
recognize that 22/7
and 3.14 are common
approximations of pi.
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What is the ratio of a
circle’s diameter to a
circle’s
circumference?
Why is pi
represented using
22/7 and 3.14?
Pi
22/7
Ratio
Rate
Fraction
Decimal
Percent
Covering and
Surrounding
Investigations 5.2 and 5.3
Include ACE Questions
for investigations
Supplemental
Materials:
10
Math Grade Six Daily Learning Guide
Math Steps pgs 219-220
Assessment: Assessment for Standard 6.3 is included in the Benchmark 2 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for How Likely Is It, Covering
and Surrounding, and Bits I, II, and III
Experimental
How Likely Is It
6.3F: Determine the
How can I use an
Probability
Investigations 1 and 2
experimental
experiment to
probability of a
determine the
Theoretical Probability
Include ACE Questions
simple event using
probability of an
Simple event
for investigations
data collected in an
event happening?
Experiment
experiment
Equally Likely Events
What is the
Supplemental
Not Likely
difference between
Materials:
Impossible
“experimental” and
Math Steps pgs 255-262
“theoretical”
(Contains both
probability?
experimental probability
and theoretical
probability)
Assessment: Assessment for Standard 6.3 is included in the Benchmark 2 Assessment, Partner Quizzes, Check-ups, and Teacher-Created Unit Tests for How Likely Is It, Covering
and Surrounding, and Bits I, II, and III
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Math Grade Six Daily Learning Guide
Core Content: 6.4 Two- and Three-Dimensional Figures
Timeline: Approx. 28 Lessons, 5 – 6 weeks
STANDARD
Language Objective
ELD Standard
6.4 A
Determine the
circumference and area
of circles
Performance
How do I find the
circumference and area
of circles?
I can determine the
circumference and area
of circles.
Lessons and Objectives
Vocabulary
Circumference
Area
Diameter
Radius
Pi
Ratio
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
Covering &
Surrounding
Inv. 5.2 > 5.4
ACE questions
Supplemental
Materials
Math Steps
p.219-222
(Approx. 4 Sessions)
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
How can I combine the Area
6.4 B
perimeter of separate
Base
Determine the
shapes for an overall
Congruent
perimeter and area of a
perimeter?
Height
composite figure that
Width
can be divided into
How can I combine the Dimension
triangles, rectangles,
areas of individual
Triangle
and parts of circles
shapes for an overall
Rectangle
area?
Composite Figure
I can find the
perimeter and area of
composite figures.
Adopted Materials
Covering &
Surrounding
Inv. 1.1 > 1.3 (Rec)
(Approx. 4 Sessions)
Inv. 3.1 > 3.3
(Triangle)
(Approx. 4 Sessions)
Inv. 5.2 > 5.4 (Circle)
ACE questions
Supplemental
Materials
Math Steps
p. 215 – 216
p. 218 (#5)
p. 222 (#6 -8)
Assessment: Checkpoints include OSPI Benchmark 2 Assessment, CMP2 Assessment Resources, and End of Unit Assessment
Burlington Edison Revised June 2011
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STANDARD
Language Objective
ELD Standard
6.4 E
Determine the surface
area and volume of
rectangular prisms
using appropriate
formulas and explain
why the formulas work
Math Grade Six Daily Learning Guide
Performance
How do I combine the
areas of the six faces
of a rectangular prism?
How many unit cubes
will a rectangular
prism hold?
Lessons and Objectives
Vocabulary
Surface Area
Volume
Prism
Parallel
Faces
Edges
Vertices
I can find the surface
area and volume of
rectangular prisms
using formulas and
explain why they
work.
Assessment: Checkpoints include OSPI Benchmark 2, CMP2 Assessment Resources, and End of Unit Assessment
How do I combine the
Pyramid
6.4 F
areas of the triangular
Determine the surface
faces and base of a
area of a pyramid
pyramid?
I can find the surface
area of a pyramid
using the appropriate
dimensions.
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
Filling & Wrapping
Inv. 2.1 > 2.3
(Approx. 4 Sessions)
Inv. 3.1 > 3.3
(Approx. 4 Sessions)
Supplemental
Materials
Math Steps
p. 225 – 226
p. 229
Adopted Materials
Supplemental
Materials
Assessment: Checkpoints include
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STANDARD
Language Objective
ELD Standard
6.4 C
Solve single- and
multi-step problems
involving the
relationships among
radius, diameter,
circumference, and
area of circles , and
verify solutions
Math Grade Six Daily Learning Guide
Performance
What are the
relationships between
the parts of a circle?
Lessons and Objectives
Vocabulary
Resources and Pacing
Formative Assessment
How do I use these
connections to find an
unknown?
I can find missing
measurements of a
circle by applying
proportional
relationships.
Assessment: Checkpoints include OSPI Benchmark 2, CMP2 Assessment Resources, and End of Unit Assessment
How can I show all the Net
6.4 D
faces of a threeCube
Recognize and draw
dimensional solid in a
Unit Cube
two-dimensional
two-dimensional
representations of
manner?
three-dimensional
figures
I can recognize and
draw two-dimensional
representations of
three-dimensional
solids.
Notes and Self
Reflection
Adopted Materials
Covering &
Surrounding
Inv. 5.2 > 5.4
ACE questions
Supplemental
Materials
Adopted Materials
Filling & Wrapping
Inv. 1.1 > 1.4
(Approx. 5 sessions)
ACE questions
Supplemental
Materials
Math Steps
p. 223 -224
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
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Math Grade Six Daily Learning Guide
STANDARD
Language Objective
ELD Standard
6.4 G
Describe and sort
polyhedra by their
attributes: parallel
faces, edges, and
vertices
Performance
How can I identify and
describe solid figures
using faces, edges, and
vertices?
I can sort solids based
on their attributes.
Lessons and Objectives
Vocabulary
Attribute
Faces
Vertices
Parallel
Adjacent
Opposite
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
Shapes & Designs
Inv. 1.1
(Approx. 2 sessions)
Supplemental
Materials
Assessment: Checkpoints include
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Core Content: 6.5 Numbers, Operations
STANDARD
Language Objective
ELD Standard
6.5 B
Locate positive and
negative integers on
the number line and
use integers to
represent quantities in
various contexts
Math Grade Six Daily Learning Guide
Timeline: Approx. 12 Lessons, 2 – 3 weeks
Performance
How can I represent
positive and negative
numbers on a number
line?
Lessons and Objectives
Vocabulary
Integers
Negative
Positive
Opposites
Rational Numbers
How are integers used
in real life?
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
Accentuate the
Negative
Inv. 1.1 > 1.4
(Approx. 5 sessions)
ACE questions
I can locate any value
on the number line.
I can use integers to
quantify real world
situations.
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
How I demonstrate
Inequality
6.5 C
the relationship
Compare and order
between positive and
positive and negative
negative quantities?
integers using the
number line, lists, and
I can compare and
the symbols <, >, or =.
order positive and
negative integers using
the number line, lists,
and the symbols <, >,
or =.
Burlington Edison Revised June 2011
Assessment: Checkpoints include CMP2 Assessment Resources and End of Unit Assessment
Supplemental
Materials
Math Steps
p. 267 - 268
Adopted Materials
Accentuate the
Negative
Inv. 1.1 > 1.4
ACE questions
Supplemental
Materials
Math Steps
p. 269 - 270
16
Math Grade Six Daily Learning Guide
STANDARD
Language Objective
ELD Standard
6.5 A
Use strategies for
mental computations
with non-negative
whole numbers,
fractions, and decimals
Performance
What strategies do I
use to compute sums,
differences, products,
and quotients
mentally?
I can apply efficient
strategies to mental
math operations with
any values.
Lessons and Objectives
Vocabulary
Estimate
Fraction
Decimal
Algorithm
Fact Family
Reciprocal
Resources and Pacing
Formative Assessment
Notes and Self
Reflection
Adopted Materials
Supplemental
Materials
Assessment: Checkpoints include
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