M ATHEMATICS C URRICULUM M AP
Sixth Grade
2011
Table of Contents
Overview:
I.
II.
III.
IV.
V.
Best Practices
Assessment
Sixth Grade Vocabulary
Timeline
Appendix A - Websites
Units by Standard:
Unit 1: Whole Numbers Operations
Unit 2: Decimals Operations
Unit 3: Number Theory
Unit 4: Fraction Concepts
Unit 5: Add and Subtract Fractions
Unit 6: Multiplying and Divide Fractions and Mixed Numbers
Unit 7: Statistics, Probability, and Graphing
Unit 8: Integers
Unit 9: Rational Numbers
Unit 10: Expressions and Equations
Unit 11: Equations, Inequalities, and Variables
Unit 12: Patterns
Unit 13: Geometric Figures
Unit 14: Plane Figures
Unit 15: Congruence and Motion Geometry
Unit 16: Solid Figures
Unit 17: Unit of Measurement
Unit 18: Perimeter
Unit 19: Area
Unit 20: Volume
Unit 21: Ratios and Proportions
Unit 22: Percent and Change
* The asterisk next to a document represents an adapted document.
Best Practices
Small Group
Modeling
Guided Practice
Independent Practice
Plans and teaches lessons to support full implementation of
mathematics core standards.
Establishes physical classroom environment to support mathematics
learning
Establishes classroom climate or culture focused on student‐centered
learning
Supports mathematical communication (student’s ability to explain
mathematical process)
Common Math vocabulary
Uses assessment to support student learning and to guide planning.
Relating Concepts to real life situations
Incorporate word problems within units
Use concrete examples and have students draw representations of
concepts
* The asterisk next to a document represents an adapted document.
Assessment
Core Practice- Independent Worksheets
Activities- Showing understanding
Quizzes
Pre- Post Test
Common Assessment
Observations
MAP Assessment
ISAT Assessment
* The asterisk next to a document represents an adapted document.
Sixth Grade Vocabulary
Acute angle
Acute triangle
Addend
Algebraic addition
Algorithm
Alternate exterior angles
Alternate interior angles
a.m.
Angle
Angle bisector
Area
Associative Property of Addition
Associative Property of Multiplication
Average
Base
Bimodal
Bisect
Capacity
Celsius scale
Center
Chance
Circle
Circle graph
Circumference
Closed-option survey
Common Denominator
Commutative Property of Addition
Commutative Property of Mult.
Compass
Complementary Angles
Composite Number
Compound Interest
Concentric Circles
Cone
Congruent
Construction
Coordinate plane
Corresponding angles
Corresponding parts
Counting numbers
Cross product
Cube
Cylinder
Decimal number
Decimal places
Decimal point
Degrees (C) (F)
Denominator
Diameter
Difference
Digit
Distributive Property
Dividend
Divisible
Divisor
Edge
Endpoint
Equation
Equilateral Triangle
Equivalent Fractions
Estimate
Evaluate
Even Numbers
Expanded Notation
Experimental Probability
Exponent
Exponential Expression
Exterior Angle
Exact
Face
Fact Family
Factor
Fahrenheit Scale
Fraction
Function
Geometric solid
Geometry
Graph
Greatest Common Factor
Height
Histogram
Horizontal
Identity Property of Addition
Identity Property of Mult.
Improper Fraction
Integers
Interest
Interest Rate
Interior Angle
International System
Intersect
Inverse Operations
Invert
* The asterisk next to a document represents an adapted document.
Irrational Numbers
Isosceles Triangle
Least Common Multiple
Legend
Line
Line of Symmetry
Line Plot
Lowest Terms
Mass
Mean (Average)
Median
Metric System
Minuend
Mixed Number
Mode
Multiple
Negative Numbers
Number Line
Numeral
Numerator
Oblique Lines
Obtuse Angle
Obtuse Triangle
Odd Numbers
Open-option survey
Operations of Arithmetic
Opposites
Ordered Pair
Origin
Outlier
Parallel lines
Parallelogram
Percent (%)
Perfect Square
Perimeter
Perpendicular bisector
Perpendicular lines
Pi
Pictograph
Pie Graph
Place value
Plane
Platonic solid
p.m.
point
polyhedron
Positive Numbers
Power
Prime Factorization
Prime Number
Principal
Prism
Probability
Product
Property of Zero for Mult.
Proportion
Protractor
Pyramid
Quadrilateral
Qualitative
Quotient
Radius
Range
Ratio
Ray
Reciprocals
Rectangle
Reduce
Reflection
Regular Polygon
Remainder
Rhombus
Right Angle
Right Triangle
Rotation
Sales Tax
Scale
Scale Drawing
Scale Factor
Scale Model
Scalene Triangle
Sector
Segment
Sequence
Side
Similar
Simple Interest
Solid
Sphere
Square
Square Root
Stem-and-leaf plot
Straight angle
Subtrahend
Sum
Supplementary angles
* The asterisk next to a document represents an adapted document.
Surface Area
Survey
Term
Theoretical Probability
Transformation
Translation
Transversal
Trapezium
Trapezoid
Unit Multiplier
U.S. Customary System
Vertex
Volume
Weight
Whole Numbers
X-axis
Y-axis
* The asterisk next to a document represents an adapted document.
Sixth Grade- Concepts
CCS
Unit
1
Title
Whole Numbers
Operations
(review)
6.NS.3
2
Decimal Operations
6.NS.4
3
Number Theory
5.NF.1
5.NF.2
4
Fraction Concepts
5.NF.1
5.NF.2
5
Add and Subtract
Fractions and Mixed
Numbers
5.NF.4a
5.NF.5b
5.NF.6
6.NS.1
6
Multiply and Divide
Fractions and Mixed
Numbers
5.NBT.1
5.NBT.2
5.NBT.5
5.NF.5A
6.NS.2
Skill(s)
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
Whole Numbers and Place Value
Estimate with Whole Numbers
Add and Subtract Whole Numbers
Multiply and Divide Whole Numbers
Exponents
Order of Operations
Properties
Mental Math Strategies
Decimals and Place Value
Estimate with Decimals
Add and Subtract Decimals
Multiply Decimals
Divide Decimals by Whole Numbers
1.
2.
3.
4.
1.
2.
3.
4.
5.
1.
2.
3.
4.
1.
2.
3.
4.
Divisibility
Prime and Composite Numbers
Prime Factorization
LCM and GCF
Understand Fractions
Equivalent Fractions and Simplest Form
Fractions and Decimals
Fractions, Decimals, and Percents
Compare and Order
Estimate Sums and Differences
Add and Subtract Fractions
Add and Subtract Mixed Numbers
Subtracting Equivalent Fractions
Estimate Products and Quotients
Multiply Fractions
Multiply Mixed Numbers
Divide Fractions and Mixed Numbers
Duration
1-2 wks
3-4 wks
1-2 wks
2 wks
2 wks
1-2 wks
* The asterisk next to a document represents an adapted document.
6.SP.1
6.SP.2
6.SP.3
6.SP.4
6.SP.5
6.EE.9
7
Statistics, Probability,
and Graphing
6.NS.5
8
Integers
6.NS.6a
6.NS.6b
6.NS.6c
6.NS.7a
6.NS.7b
6.NS.7c
6.NS.8
6.EE.1
6.EE.2
6.EE.3
6.EE.4
9
Rational Numbers
10
Expressions and
Equations
1. Mean, Median, Mode and Range
2. Frequency Tables and Line Plots
3. Samples and Surveys
4. Make and Analyze Graphs
5. Stem-and-Leaf Plots and Histograms
6. Compare Graphs
7. Choose and Appropriate Graph
8. Box-and-Whisker Plots
9. Graph Functions
10. Graph Linear Equations
11. Graph Relationships
12. Theoretical Probability
13. Experimental Probability
14. Make Predictions
15. Outcomes of Compound Events
16. Independent and Dependent Events
17. Permutations and Combinations
1. Understand Integers
2. Add Integers
3. Subtract Integers
4. Multiply Integers
5. Divide Integers
6. Operations with Integers
1. Rational Numbers
2. Compare and Order
3. Properties of Rational Numbers
4. Inequalities on a Number Line
5. Graph on a Coordinate Plane
4 wks
1.
2.
3.
4.
5.
2-3 wks
Write Algebraic Expressions
Evaluate Algebraic Expressions
Words and Equations
Solve Addition Equations
Solve Subtraction Equations
6. Solve Multiplication and Division Equations
2 wks
2 wks
* The asterisk next to a document represents an adapted document.
6.EE.5
6.EE.6
6.EE.7
6.EE.8
6.EE.9
11
Equations, Inequalities
and Variables
2-3 wks
5.
6.
7.
1.
2.
3.
Understand Solving and Equation or Inequality
Use Substitution to Make an Equation True
Use Variables to Represent Numbers
Understand that a Variable can represent an
Unknown Number
Solve Word Problems with Equations
Inequalities
Dependent and Independent Variables
Patterns in Sequences
Number Patterns and Functions
Geometric Patterns
1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
Points, Lines, and Planes
Angle Relationships
Congruent Line Segments and Angles
Classify Lines and Planes
Bisect Line Segments and Angles
Polygons
Triangles
Quadrilaterals
Draw Plane Figures
Circles
1 wk
1.
2.
3.
4.
5.OA.3
12
Patterns
1 wk
5.G.3
5.G.4
13
Geometric Figures
6.G.3
14
Plane Figures
5.G.3
5.G.4
15
Congruence and Motion
Geometry
1. Similar and Congruent Figures
2. Transformations
3. Transformations on the Coordinate Plane
4. Symmetry
1 wk
6.G.4
16
Solid Figures
1 wk
6.RP.3d
17
Units of Measure
1. Types of Solid Figures
2. Views of Solid Figures
3. Nets of Solid Figures
1. Elapsed Time
2. Customary Measurements
3. Metric Measurements
4. Fahrenheit and Celsius
5. Appropriate Tools and Units
2-3 wks
1-2 wks
* The asterisk next to a document represents an adapted document.
Review
18
Perimeter
1.
2.
3.
4.
5.
6.
Find Perimeter
Perimeter Formulas
Estimate and Measure Perimeter
Circumference
Polygon Sides
Compare Perimeters
1 wk
6.G.1
19
Area
20
Volume
6.RP.1
6.RP.2
6.RP.3a
6.RP.3b
21
Ratio and Proportion
6.RP.3c
22
Percent and Change
Estimate Area
Area of Squares, Rectangles, and Triangles
Area of Parallelograms and Trapezoids
Perimeter and Area
Area of Circles
Surface Area
Volume of Prisms
Volume of Cylinders
Ratios and Rates
Write and Solve Proportions
Distance, Rate, and Time
Ratios and Similar Figures
Scale Drawings
Proportional Reasoning
Golden Ratio
Percent
Percents, Decimals and Fractions
Percent of a Number
Discount and Sales Tax
Simple Interest
2-3 wks
6.G.2
1.
2.
3.
4.
5.
1.
2.
3.
1.
2.
3.
4.
5.
6.
7.
1.
2.
3.
4.
5.
2 wks
2 wks
1-2 wks
* The asterisk next to a document represents an adapted document.
Unit 1: Whole Number Operations
Approximate Duration of Study: 1 - 2 weeks
CCS
5.NBT.1
5.NBT.2
5.NBT.5
Essential
Concept
Question
How do we compare Place Value
relationships
between place
values?
How do I
demonstrate the
patterns between
numbers, quantities
and place value
using the power of
ten?
How can we use the
concept of
multiplication to
solve problems?
Multiplying by
Power of Ten
Whole Number
Multiplying
Skills
Relationship of digits in a
multi-digit number
The ones place is ten times as
much as the place value to the
right.
Explain the patterns of zeros in
whole numbers.
Explain the patterns of the
placement of decimal points
Solve two digit multiplication.
Solve three digit
multiplication.
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
SMART Notebook- Place Value
SMART Notebook- Multiplying by Tens
SMART Notebook- Multiplying by Tens
GAME
SMART Notebook- Two and Three Digit
Multiplication
SMART Notebook- Two Digit
Multiplication- Lattice Method
SMART Notebook- Two Digit
Multiplication
SMART Notebook- Estimate/Comparing
How can we
Comparing
Evaluate the factors to
Product Lesson/Activity
interpret
Sizes
estimate the product (size),
multiplication as
without multiplying
scaling (resizing)?
6.NS.2
What is the strategy Divide multiFluently divide multi-digit
to divide multi-digit digit numbers
numbers using the standard
numbers?
algorithm.
Vocabulary: addend, sum, subtrahend, minuend, difference, factor, product, divisor, dividend, quotient, estimation, operations, ordering, place value
5.NF.5a
* The asterisk next to a document represents an adapted document.
Unit 2: Decimal Operations
Approximate Duration of Study: 3 - 4 weeks
CCS
6.NS.3
Essential
Question
What is the strategy to
add, subtract, multiply,
and divide multi-digit
decimals?
Concept
Add, subtract,
multiply and
divide multidigit decimals
Skills
Assessments
Fluently add, subtract,
multiply and divide multidigit decimals using the
standard algorithm for each
operation.
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Vocabulary: comparing, equivalent, algorithm
* The asterisk next to a document represents an adapted document.
Unit 3: Number Theory
Approximate Duration of Study: 1 - 2 weeks
CCS
Essential
Question
How do you find
the greatest
common factor of
two whole
numbers less than
100?
Concept
Skills
Assessments
Helpful Strategies and Resources
SMART Notebook- Order of Operations
Pretest
Find greatest common
SMART Notebook- Parentheses
Pretest*
factor of two whole
BrainPOP- Order of Operations
Posttest
numbers less than or
Posttest*
equal to 100.
Quiz
Find least common
Quiz *
multiple of two whole
numbers less than or
How do you find
equal to 12.
the least common
Use distributive property
multiple of two
to express an equation as
whole numbers
a multiple of a sum of two
less than or equal
whole numbers with no
to 12?
common factor.
Vocabulary: greatest common factor, least common multiple, composite, common multiple, factor, prime number, opposites, standard form,
divisibility, expression
6.NS.4
Greatest
common
factor and
least
common
multiple
* The asterisk next to a document represents an adapted document.
Unit 4: Fraction Concepts
Approximate Duration of Study: 2 weeks
CCS
5.NF.1
5.NF.2
Essential
Question
How do we convert
fractions to common
denominators?
How do we use fraction
conversions in our daily
life (cooking, slices,
etc.)?
How can we
demonstrate fractions
through story
problems?
Concept
Unlike
Denominators
(changing to
common
denominators)
Unlike
Denominators
With Mixed
Numbers
Story Problems
(Addition/
Subtraction
Common
Denominators)
Skills
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Add Fractions
Subtract Fractions
Add Mixed Numbers
Subtract Mixed Numbers
Use fraction models to
represent the problem.
Use equations to represent
the problem.
Estimate mentally using
benchmark fractions and
number sense to assess the
reasonableness of an answer.
Story Problems
Use fraction models to
(Addition/
represent the problem.
Subtraction
Use equations to represent
Unlike
the problem.
Denominators)
Estimate mentally using
benchmark fractions and
number sense to assess the
reasonableness of an answer.
Vocabulary: Sum, Difference, Equivalent, Numerator, Denominator, Common Denominator, Mixed Number, and Factors.
Benchmark Fraction: Benchmark fractions are common fractions that you can judge other numbers against. Normally, 1/4, 1/2, 3/4, and often 1/10
(because of its relationship with decimals) are referred to as benchmark fractions.
Read more: http://wiki.answers.com/Q/What_is_benchmark_fraction#ixzz174UgbnsV
* The asterisk next to a document represents an adapted document.
Unit 5: Add/Subtract Fractions and Mixed Numbers
Approximate Duration of Study: 2 weeks
CCS
5.NF.1
5.NF.2
Essential
Question
How do we convert
fractions to common
denominators?
How do we use fraction
conversions in our daily
life (cooking, slices,
etc.)?
How can we
demonstrate fractions
through story
problems?
Concept
Unlike
Denominators
(changing to
common
denominators)
Unlike
Denominators
With Mixed
Numbers
Story Problems
(Addition/
Subtraction
Common
Denominators)
Skills
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Add Fractions
Subtract Fractions
Add Mixed Numbers
Subtract Mixed Numbers
Use fraction models to
represent the problem.
Use equations to represent
the problem.
Estimate mentally using
benchmark fractions and
number sense to assess the
reasonableness of an answer.
Story Problems
Use fraction models to
represent the problem.
Use equations to represent
the problem.
(Addition/
Estimate mentally using
Subtraction
benchmark fractions and
Unlike
number sense to assess the
Denominators)
reasonableness of an answer.
Vocabulary: Sum, Difference, Equivalent, Numerator, Denominator, Common Denominator, Mixed Number, and Factors.
* The asterisk next to a document represents an adapted document.
Benchmark Fraction: Benchmark fractions are common fractions that you can judge other numbers against. Normally, 1/4, 1/2, 3/4, and often 1/10
(because of its relationship with decimals) are referred to as benchmark fractions.
Read more: http://wiki.answers.com/Q/What_is_benchmark_fraction#ixzz174UgbnsV
Vocabulary: Compare, Decimal, Decimal Point, Equivalent Decimals, Expanded Form, Hundredth, Round, Tenth, and Thousandth.
* The asterisk next to a document represents an adapted document.
Unit 6: Multiply and Divide Fractions and Mixed Numbers
Approximate Duration of Study: 1 -2 weeks
CCS
5.NF.4a
Essential
Question
How do we
multiply fractions?
What are rules to
multiplying
fractions?
5.NF.5b How do we
anticipate the
product of
fractions?
Concept
Skills
Assessments
Multiplying
Fractions/
Fractions
Multiplying Whole
Numbers to
Fractions
Multiply fractions with
fractions
e.g. (a/b x c/d =ac/bd)
Multiply fractions with whole
numbers
e.g. (a/b x q = aq/b)
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helpful Strategies and Resources
Multiplying
Fractions
Explain why multiplying a
fraction greater than one by a
given number will result in a
larger product
Explain why multiplying a
fraction less than one by a
given number will result in a
smaller product
5.NF.6
How does
Real World
Solve real world problems
multiplication
Problems of
using fractions and mixed
relate to real world Multiplication
numbers
scenarios?
Use fraction models and
equations to represent the
problem
6.NS.1
What is the
Dividing fractions
Compute quotient of
strategy to
by fractions
fractions
compute quotients
Solve word problems
of fractions?
involving division of
fractions by fractions
Vocabulary: Product, Difference, Equivalent, Compare, Numerator, Denominator, Common Denominator, Mixed Number, and Factors, Reciprocal
* The asterisk next to a document represents an adapted document.
Unit 7: Statistics, Probability, and Graphing
Approximate Duration of Study: 4 weeks
CCS
Essential
Questions
Concepts
Skills
6.SP.1
Statistical questions
What is the process
of taking a survey and
displaying the
results?
6.SP.2
How do mean,
median and mode
describe a set of
data?
Set of data
Understand that a set of
data collected to answer
a statistical question has
a distribution which can
be described by its
center, spread, and
overall shape
6.SP.3
What method would
you use to describe a
given set of data
using mean, median,
mode and range?
Measure of data
Recognize that a measure
of center for a numerical
data set summarizes all
of its values with a single
number
Recognize that a measure
of variation describes
how its values vary with a
single number
Recognize a statistical
question as one that
anticipates variability in
the data related to the
question and accounts
for it in the answers
Assessments
Helpful Strategies
& Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
* The asterisk next to a document represents an adapted document.
6.SP.4
6.SP.5
What questions
should you ask to
determine which
numerical set of data
would be the most
appropriate to use
for the data given?
How can you show
the distribution of
data using a box-andwhisker plot?
Displaying numerical
data
Display numerical data in
plots on a number line,
including dot plots,
histograms, and box plots
Summarize
numerical data sets
Report the number of
observations
Describe the nature of
the attribute under
investigation including
how it was measured and
its units of measurement
Give quantitative
measures of median
and/or mean and
interquartile range
and/or mean, as well as
describing any overall
pattern and deviations
with reference to the
context in which the data
was gathered
Relate the choice of
measures of center and
variability to the shape of
the data distribution and
the context in which the
data was gathered
* The asterisk next to a document represents an adapted document.
6.EE.9
Vocabulary:
Dependent and
How do we use
variables to represent independent
two quantities?
variables
How do we write an
equation to express
the dependent
variable to the
independent
variable?
How do we analyze
the relationship
between the
dependent and
independent variable
using graphs and
tables?
Buckle Down ISAT: pg.
Use variables to
represent two quantities
76-80
in a real-world problem
Buckle Down ISAT: pg
that change in
101-105
relationship to one
another
Write an equation to
express the dependent
variable in terms of the
independent variable
Analyze the relationship
between the dependent
variable and the
independent variable
using graphs and tables,
and relate these to the
equation
Probability, chance, ratio, mean, median, mode, range, frequency, survey, variables, histogram, stem-and-leaf plot, box-and-whisker plot,
data, circle graph, line graph, bar graph, pictograph, frequency table, cumulative frequency, variables, comparing, census, averages, outlier,
interquartile, predictions, random, events, dependent, independent, permutation, outcomes, estimation, scatter plots
* The asterisk next to a document represents an adapted document.
Unit 8: Integers
Approximate Duration of Study: 2 weeks
CCS
Essential
Concept
Skills
Assessments
Helpful Strategies and Resources
Question
6.NS.5
How can we
Positive and
Pretest
Understand that positive
understand that
negative
Pretest*
and negative numbers are
positive and
numbers
Posttest
used to describe quantities
negative numbers
Posttest*
having opposite directions.
are used to describe
Quiz
Be able to explain meaning
quantities having
of zero in relation to + and – Quiz *
opposite directions?
numbers.
Vocabulary: absolute value, integer, positive number, negative number, additive inverse, ordering, patterns, opposites
* The asterisk next to a document represents an adapted document.
Unit 9: Rational Numbers
Approximate Duration of Study: 2 weeks
CCS
6.NS.6a
Essential
Question
How can we
recognize
opposite signs
of numbers on a
number line?
Concept
Skills
Assessments
Rational
numbers and
the number
line
Rational
numbers and
the
coordinate
plane
Recognize opposite signs of
numbers as indicating
locations on opposite sides
of 0 on the number line;
Recognize that the opposite
of the opposite of a number
is itself.
6.NS.6b
How can we
understand
signs of
numbers in
ordered pairs as
locations on a
coordinate
plane?
Rational
numbers and
the number
line
Understand signs of
numbers in ordered pairs as
locations in quadrants of the
coordinate plane;
Recognize that when two
ordered pairs differ only by
signs, the locations will be
reflections across one or
both axes.
6.NS.6c
How can we find
and position
integers and
other rational
numbers on a
horizontal and
Rational
numbers and
the number
line
Find and position integers
and other rational numbers
on a horizontal or vertical
number line diagram;
Find and position pairs of
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
* The asterisk next to a document represents an adapted document.
vertical number
line?
6.NS.7a
6.NS.7b
6.NS.7c
6.NS.7d
How can we
interpret
statements of
inequality as
statements
about the
relative position
of two numbers
on a number
line?
How can we
write, interpret,
and explain
order for
rational
numbers in realworld contexts?
How can we
understand the
absolute value
of a rational
number as its
distance from
zero on a
number line?
How can we
distinguish
comparisons of
absolute value
from
statements
about order?
Ordering and
absolute value of
rational numbers
integers and other rational
numbers on a coordinate
plane.
Interpret statements of
inequality as statements
about the relative position
of two numbers on a
number line diagram.
Write, interpret, and explain
statements of order for
rational numbers in realworld contexts.
Understand the absolute
value of a rational number
as its distance from zero on
the number line;
Interpret absolute value as
magnitude for a positive or
negative quantity in a realworld situation.
Distinguish comparisons of
absolute value from
statements about order.
* The asterisk next to a document represents an adapted document.
6.NS.8
How can we
Coordinate Plane
Solve real-world and
solve real-world
mathematical problems by
and math
graphing points in all four
problems by
quadrants of the coordinate
graphing points
plane;
on a coordinate
Include use of coordinates
and use
and absolute value to find
coordinates to
distances between points
find distances
with the same first
between points
coordinate or the same
on a coordinate
second coordinate.
plane?
Vocabulary: comparing, rational numbers, irrational numbers, coordinates, ordered pairs, coordinate plane, quadrant, absolute value, inequality
* The asterisk next to a document represents an adapted document.
Unit 10: Expressions and Equations
Approximate Duration of Study: 2 -3 weeks
CCS
6.EE.1
6.EE.2
Essential
Question
How do we solve a
numerical
expression using
exponents?
Concept
Numerical
expressions
Write and evaluate
numerical expressions
involving wholenumber exponents
How do we solve
the value of an
unknown?
Letters in
expressions
Write expressions that
record operations
with numbers in which
letters stand for
numbers
Identify parts of an
expression using
mathematical terms
View one or more
parts of an expression
as a single entity
Evaluate expressions
at specific values of
their variables
Include expressions
that arise from
formulas used in realworld problems
Perform arithmetic
operations in the
conventional order
when there are no
parenthesis
How do we solve
an expression using
the order of
operations?
Skills
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
www.mathgoodies.com/lessons/vol7/equations.html
http://msteacher.org/epubs/math/math14/expressions.aspx
S:\Evans\Algebra_Tiles powerpoint good.ppt
Sequence: Versatile: pg 4 & 9
Sequence- Versatile: pg 22-23
Buckle Down ISAT pg 88-89
* The asterisk next to a document represents an adapted document.
6.EE.3
How do we apply
the properties of
operations to
generate
equivalent
expressions?
Properties
of
operations
Apply the properties
of operations to
generate equivalent
expressions
Interactive:
www.mathgoodies.com/Lessons/vol7/order_operations.ht
ml
6.EE.4
How do we identify
when two
expressions are
equivalent?
Equivalent
expressions
Identify when two
expressions are
equivalent
Numbers- Versatile: pg 28
Vocabulary: algebraic, evaluating, numerical, order of operations, equivalent, variables
* The asterisk next to a document represents an adapted document.
Unit 11: Equations, Inequalities and Variables
Approximate Duration of Study: 2 – 3 weeks
CCS
6.EE.5
Essential
Question
How do we solve an
equation and/or
inequality?
Concept
Skills
Assessments
Solving an
equation or
inequality
Understand solving an
equation or inequality as a
process of answering a
question
Which values from a
specified set, if any, make
the equation or inequality
true?
Use substitution to
determine whether a given
number in a specified set
makes an equation or
inequality true
Use variables to represent
numbers and write
expressions when solving
real-world or mathematical
problems
Understand that a variable can
represent an unknown number
or any number in a specified set
Solve real-world and
mathematical problems by
writing and solving
equations in the form of x +
p = q and px = q for cases in
which p, q and x are all
nonnegative rational
numbers
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
How do we use
substitution to
determine whether
a given number in a
set makes an
equation?
6.EE.6
6.EE.7
How do we use
variables to
represent
numbers?
How do we write
expressions when
solving real word
problems?
How do we solve
real world problems
by writing
equations?
Variables
Equations
Helpful Strategies and Resources
Ratio – Versatile: pg 15-16
www.purplemath.com/modules/ineq
solv.htm
Buckle Down ISAT: pg 86-87
Buckle Down ISAT: pg 84-85
Buckle Down ISAT: pg 86-87
Buckle Down ISAT: pg 93-96
* The asterisk next to a document represents an adapted document.
6.EE.8
How do we
write an
inequality?
How do we
recognize that
inequalities have
infinite solutions?
Inequalities
Write an inequality of the
form
x > c or x < c to represent a
constraint or condition in a
real-world or mathematical
problem
Recognize that inequalities
of the form x > c or x < c
have infinite solutions
Represent solutions of such
inequalities on number line
diagrams
How do we
represent solutions
of inequalities on a
number line?
6.EE.9
Dependent and
How do we use
Use variables to represent
independent
variables to
two quantities in a realvariables
represent two
world problem that change
quantities?
in relationship to one
another
How do we
write an
Write an equation to
equation to
express the dependent
express the
variable in terms of the
dependent
independent variable
variable to the
Analyze the relationship
independent
between the dependent
variable?
variable and the
How do we
independent variable using
analyze the
graphs and tables, and
relationship
relate these to the equation
between the
dependent and
independent
variable using
graphs and
tables?
Vocabulary: equations, inequalities, variables, analyze, substitution,
Interactive:
www.themathpage.com/Alg/inequali
ties.htm#number%20line
Buckle Down ISAT: pg 91-92
www.math.com/school/subject2/less
ons/S2U3L4EX.html
Buckle Down ISAT: pg 99-100
* The asterisk next to a document represents an adapted document.
Unit 12: Patterns
Approximate Duration of Study: 1 week
CCS
5.OA.3
Essential
Question
What are the
relationships
between
corresponding
terms?
Why are the
relationships
relevant?
How can we use
ordered pair to
develop
relationships in
numbers?
Concept
Ordered Pairs
Skills
Assessments
Generate two number patterns
using a given rule
X-value add 3, Y-value add 6.
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Find ordered pair relationships
(rule)
Compare two sequences of
numbers to develop pattern.
Add 3, starting at 0 and Add 6
starting at 0, then identify that the
sequence is twice the corresponding
term.
Vocabulary: Ordered Pairs, Relevancy, Corresponding Terms, Term, Patterns, X-Value, Y-Value, Sequence, and Rule.
* The asterisk next to a document represents an adapted document.
Unit 13: Geometric Figures
Approximate Duration of Study: 1 week
CCS
5.G.3
Essential
Question
How can the
characteristics of
shapes helps us
categorize
multiple figures?
Concept
Skills
Assessments
Helpful Strategies and Resources
Categorize
Pretest
Understand that a twoPretest*
dimensional shape can be
Posttest
classified using different
categorization (side lengths, Posttest*
Quiz
degrees of angles, number
Quiz *
of sides)
e.g. All rectangles have right
angles, a square is rectangle, so
all squares have right angles.
5.G.4
How can we
Classify
Organize two-dimensional
sequentially order
shapes as being classified as
shapes according
more than one figure in
the properties
order from simplest to most
from simplest to
complex.
most complex?
e.g. shape, quadrilateral,
parallelogram, rhombus, square
Vocabulary: Two- Dimensional Shapes, Lengths, Degrees, Angles, Sides, Quadrilateral, Square, Parallelogram, Rhombus, Trapezoid, Rectangle, Angles,
Degrees, Classify, Simple, and Complex.
* The asterisk next to a document represents an adapted document.
Unit 14: Plane Figures
Approximate Duration of Study: 2-3 weeks
CCS
6.G.3
Essential
Question
How can I draw
polygons in the
coordinate plane?
Concept
Skills
Assessments
Helpful Strategies and Resources
Draw polygons
Pretest
Draw polygons in the
Pretest*
coordinate plane given
coordinates for the vertices Posttest
Posttest*
Use coordinates to find the
How can I find the
Quiz
length of a side joining
dimensions of a
Quiz *
points with the same first
given polygon on
coordinate or the same
the coordinate
second coordinate
plane using the
Apply these techniques to
coordinates?
solving real-world and
mathematical problems
Vocabulary: acute triangle, equilateral triangle, isosceles triangle, obtuse, right, scalene, diagonal, polygon, heptagon, decagon, vertex, nonagon, regular
polygon
* The asterisk next to a document represents an adapted document.
Unit 15: Congruence and Motion Geometry
Approximate Duration of Study: 1 week
CCS
5.G.3
Essential
Question
How do we classify
angles?
Concept
Angles
How do we measure
using a protractor?
5.G.4
How do you classify
a polygon?
Polygons
Skills
Assessments
Name an angle (right, acute,
or obtuse)
Draw an angle (right, acute,
or obtuse)
Measure an angle (right,
acute, or obtuse)
Use the properties of lines,
points, and angles to classify
polygons.
Name a polygon based on
the polygons properties.
Identify the total number of
diagonals within a polygon.
Evaluate a polygon to
determine lines of
symmetry.
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Vocabulary: similar figures, corresponding angles, corresponding sides, exterior, interior, right, acute, obtuse, adjacent, ray, line, segment, straight,
supplementary, complementary, parallel, perpendicular, bisect, midpoint, compass, protractor
* The asterisk next to a document represents an adapted document.
Unit 16: Solid Figures
Approximate Duration of Study: 1 week
CCS
6.G.4
Essential
Question
How can I use a net
to represent a threedimensional figure?
Concept
Threedimensional
figures
Skills
Assessments
Represent three-dimensional
figures using nets made up of
rectangles and triangles
Use the nets to find the surface
How can I use a net
area of these figures
to find the surface
Apply these techniques to
area of a threesolving real-world and
dimensional figure?
mathematical problems
Vocabulary: net, base, lateral face, polyhedron, surface area
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
* The asterisk next to a document represents an adapted document.
Unit 17: Units of Measure
Approximate Duration of Study: 1- 2 weeks
CCS
6.RP.3d
Essential
Question
How can we use
ratio and rate
reasoning to solve
real world and
mathematical
problems?
Concept
Measurem
ent units
Skills
Use ratio reasoning to
convert measurement units
Manipulate and transform
units appropriately when
multiplying or dividing
quantities
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
http://www.internet4classrooms.com/skill_b
uilders/ratio_proportion_math_sixth_6th_gra
de.htm
http://www.learner.org/interactives/dailymat
h/cooking.html
http://www.edhelper.com/math/math_sixth_g
rade_TTST6_7.htm
Vocabulary: capacity, Celcius, Fahrenheit, metric, customary, elapsed time, ante meridiem, post meridiem, unit rate
* The asterisk next to a document represents an adapted document.
Unit 18: Perimeter
CCS
Review
5.NF.4b
5.NF.5a
5.NF.6
5.G.3
5.G.4
Essential
Question
How do you solve
for the perimeter?
Concept
Perimeter of
polygons
How does the
perimeter relate
to architecture?
Circumference
of Circles
Approximate Duration of Study: 1 week
Skills
Assessments
Understand the concept of
the perimeter of polygons
Use addition to solve for the
perimeter
Use the formulas:
(l + l + w + w) or (2 x l) + (2 x w)
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Understand the concept of
the perimeter of circles
Use formulas:
(π • d) or (2πr)
Vocabulary: Perimeter, Circumference, Diameter, Radius, Length, Width, and Sum.
* The asterisk next to a document represents an adapted document.
Unit 19: Area
Approximate Duration of Study: 2-3 weeks
CCS
6.G.1
Essential
Question
How can I find the
area of triangles by
composing or
decomposing them
into other shapes?
Concept
Area
Skills
Find the area of right
triangles, or other triangles,
special quadrilaterals and
polygons by composing into
rectangles or decomposing
into triangles and other
shapes
Apply these techniques in
the context of solving realworld and mathematical
problems
Vocabulary: area, length, width, base, height, decompose, composing
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Helping with Math - Geometry
Math Drills - Geometry
* The asterisk next to a document represents an adapted document.
Unit 20: Volume
Approximate Duration of Study: 2 weeks
CCS
6.G.2
Essential
Question
How can I find the
volume of a right
rectangular prism
using unit cubes?
Concept
Volume
How can I find the
volume of a right
rectangular prism
using the formulas for
volume?
Skills
Assessments
Find the volume of a right
rectangular prism with
fractional edge lengths by
packing it with unit cubes
Show that the volume is the
same as would be found by
multiplying the edge lengths
of the prism
Apply the formulas V = lwh
and
V = bh to find volumes of
right rectangular prisms
with fractional edge lengths
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Vocabulary: volume, cylinder, prism
* The asterisk next to a document represents an adapted document.
Unit 21: Ratio and Proportion
Approximate Duration of Study: 2 weeks
CCS
6.RP.1
Essential
Question
What is a ratio?
What is ratio
language to
describe a ratio
relationship?
Concept
Ratios
Ratio
language
Skills
Use ratio language to
describe relationship
between two quantities
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
Game:
http://www.aaamath.com/B/g62b_fx
1.htm#section2
http://www.internet4classrooms.com
/skill_builders/ratio_proportion_mat
h_sixth_6th_grade.htm
interactive:
www.themathpage.com/arth/Ar_Pr/r
atio1_1.htm
interactive:
www.math.com/school/subject1/less
ons/S1U2L.html#sm3
Interactive Test:
http://cat.umbotests.com/te
sts/ratio-and-proportionproblems
www.edhelper.com/ratios.
htm
6.RP.2
What is unit rate
associated with a
ratio?
How do you use
rate language in
the context of a
ratio relationship?
Unit rate
Ratio
relationshi
ps
Understand the concept of
unit rate a/b associated with
a ratio a:b with
b≠0
Use rate language in the
context of a ratio
relationship
Quiz:
http://math.rice.edu/~lanius/proporti
ons/quiz1.html
http://www.internet4classrooms.com
/skill_builders/ratio_proportion_mat
h_sixth_6th_grade.htm
http://www.brainpop.com/math/ratio
proportionandpercent/ratios/preview.
weml
www.algebralab.org/Word/Word.asp
x?file=Algebra_Proportions.xml
www.yale.edu/ynhti/curriculum/unit
s/2004/5/04.05.08.x.html
* The asterisk next to a document represents an adapted document.
6.RP.3a
How can we use
ratio and rate
reasoning to solve
real world and
mathematical
problems?
Make and
use tables
of
equivalent
ratios
Make tables of equivalent
ratios relating quantities
with whole number
measurements
Find missing values within
the tables
Plot the pairs of values on
the coordinate plane
Use tables to compare ratios
Lesson and Worksheet:
http://tulyn.com/6th-grademath/equal-ratios
http://www.internet4classrooms.com
/skill_builders/ratio_proportion_mat
h_sixth_6th_grade.htm
http://www.cimt.plymouth.ac.uk/proj
ects/mepres/book8/bk8i7/bk8_7i1.ht
m
Video http://www.nextvista.org/findingequivalent-ratios/
http://tulyn.com/wordproblems/ratio.
htm
http://www.ixl.com/math/practice/gr
ade-6-coordinate-graphs-review
http://nrich.maths.org/public/viewer.
php?obj_id=4827
6.RP.3b
How can we
use ratio and
rate reasoning
to solve real
world and
mathematical
problems?
Unit rate
problems
http://www.internet4classrooms.com
/skill_builders/ratio_proportion_mat
h_sixth_6th_grade.htm
http://www.aaastudy.com/g6-unitrate.htm
Solve unit rate problems
including those involving
unit pricing and constant
speed
Vocabulary: ratio, proportion, equivalent ratios, rate, unit rate, scale, scale drawing, odds,
* The asterisk next to a document represents an adapted document.
Unit 22: Percent and Change
Approximate Duration of Study: 1-2 weeks
CCS
6.RP.3c
Essential
Question
How can we use
ratio and rate
reasoning to solve
real world and
mathematical
problems?
Concept
Percents
Skills
Find a percent of a quantity
as a rate per 100
Solve problems finding the
whole, given a part and a
percent
Assessments
Helpful Strategies and Resources
Pretest
Pretest*
Posttest
Posttest*
Quiz
Quiz *
http://www.internet4classrooms.com
/skill_builders/ratio_proportion_mat
h_sixth_6th_grade.htm
http://www.helpingwithmath.com/by
_subject/percentages/per_calculating
.htm
http://www.analyzemath.com/middle
_school_math/grade_6/percent.html
Vocabulary: sales tax, discount, percent
* The asterisk next to a document represents an adapted document.
Useful Websites for All Standards:
http://www.helpingwithmath.com/by_grade/gr6_worksheets.htm
http://www.prepdog.com/6th_grade/6th_grade_practice_tests.htm
http://www.math4children.com/
http://www.mathsisfun.com/
www.aaamath.com
www.brainquest.com
www.mathfun.com
www.aplusmath.com
www.webmath.com
www.multiplication.com
www.kidsbank.com
www.allmath.com
www.exploremath.com
www.coolmath4kids.com
www.interventioncentral.org
www.busyteacherscafe.com
www.mathmastery.com
www.eduplace.com
www.planemath.com
www.funbrain.com
www.moneyopolis.com
www.edhelper.com
www.brainpop.com
www.mathslideshow.com
http://math.pppst.com/mathmix.html
* The asterisk next to a document represents an adapted document.