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6th Grade Math – Q1 Block Content/Resources Number System
Union Elementary School District Skills Vocabulary Number System
Mathematical Practice
Essential Questions:
1. Why is it important to have strategies to
manipulate numbers?
2. How do the operations of decimals compare to
the operations of whole numbers?
3. How can we create and interpret useful models
that display division of fractions?
4. How are fractions, decimals and percents related?
5. Why are there negative numbers?
6. How do we compare and contrast numbers?
7. What is the relationship between rational
numbers and integers?
8. Why do the order of operations exist?
6.NS.1.
Key Ideas and Details
A. Interpret and compute quotients of fractions
Obj: TSW interpret quotients of fractions using
models and visuals.
6.NS.1.
Suggested Resources:
Envision
Topic 5:
•5-4- Understand Fractions
Obj: TSW describe fractions as parts of regions or
sets using a number line.
6.NS.1
1. Make sense of
problems and persevere in
solving them.
Fraction
Numerator
2. Reason abstractly and
quantitatively.
Denominator
3. Construct viable
Equivalent
arguments and critique the Fraction
reasoning of others.
Simplest
4. Model.
form
7. Look for and make
sense of structure.
Proper
Fraction
8. Look for and express
regularity in repeated
reasoning.
Improper
Fraction
Mixed
Block 6th Grade Math – Q1 Union Elementary School District •5-5- Equivalent Fractions
Arizona Connections:
Number
Obj: TSW evaluate equivalent fractions using
models.
•S1C3-2
•S2C3-1
- Making estimates
Like
Denominator
s
- Inverse between
exponents and roots.
Unlike
Denominator
s
•5-6- Fractions in Simplest Form
Obj: TSW simplify expressions using simplest
form.
Topic 6:
•6-1- Fractions and Division
Obj: TSW use fractions to represent division using
fractions on a number line.
Least
Common
Denominator
Reciprocal
Integers
•6-2- Fractions and Decimals
Obj: TSW identify and write equivalent fractions
using decimals.
Topic 7:
•7-1- Add/subtract like denominators
Obj:TSW add and subtract fractions with like
denominators using the simplest form.
•7-3- Add/subtract unlike denominators
Obj: TSW analyze equivalent fractions with the
LCD using unlike denominators in simplest form.
•7-4- Estimate sums and differences of mixed
numbers
Obj: TSW estimate sums and differences of
fractions with mixed numbers using rounding to the
nearest whole number.
•7-5- Add mixed numbers
Obj:TSW find the sums of mixed numbers using
the concept of not renaming.
Block 6th Grade Math – Q1 Union Elementary School District •7-6- Subtract mixed numbers
Obj: TSW find the differences of mixed numbers
using the not renaming process.
Topic 8:
•8-1- Multiply Fractions and Whole Numbers
Obj:TSW use different methods to multiply
fractions using whole numbers.
•8-2- Estimate Products
Obj: TSW use compatible numbers using rounding
to estimate fractions.
•8-3- Multiply Fractions
Obj: TSW evaluate the product of two fractions
using models.
•8-4- Multiply Mixed Numbers
Obj: TSW evaluate the product of two mixed
numbers using models.
Topic 10:
•10-4- Add Integers
Obj: TSW analyze integers using a number line.
•10-5- Subtract Integers
Obj: TSW analyze integers using a number line.
B. Compute fluently with multi-digit numbers and
find common factors and multiples
6.NS.2.
Obj: TSW fluently divide multi-digit numbers using 2. Reason abstractly and
an algorithm.
quantitatively.
6.NS.2.
7. look for and make
sense of structure.
6.NS.2.
Expanded
form trillion
Block 6th Grade Math – Q1 Suggested Resources:
Envision
Union Elementary School District 8. Look for and express
regularity in repeated
reasoning.
Topic 1:
•1-1- Place Value
Obj:TSW evaluate numbers using expanded and
word form.
•1-2- Compare and Order Whole Numbers
Obj: TSW analyze place value using whole
numbers to compare.
Topic 3:
•3-5- Dividing Whole Numbers
Obj: TSW divide whole numbers by one-digit
divisors.
6.NS.3.
C. Fluently Use Operations to find Algorithm
2. Reason abstractly and
quantitatively.
Obj: TSW fluently add, subtract, multiply and
divide decimals using a standard algorithm.
7. Look for and make use
of structure.
6.NS.3.
8. Look for and express
regularity in repeated
reasoning.
Suggested Resources
Envision
Topic 2:
2-5- Dividing Whole Numbers
Obj: TSW evaluate expressions using mental math
strategies and properties of operations.
Topic 3:
•3-1- Estimate Sums and Differences
Obj: TSW estimate the sums and differences of
6.NS.3.
Estimate
Compatible
Numbers
Terminating
Decimal
C1. Make tables of
Repeating
equivalent ratios relating
Decimal
quantities with wholenumber measurements,
find missing values in the Decimal
tables and plot the pairs of
values on the coordinate
plane.
C2. Solve unit rate
problems.
C3. Find a percent of
Block 6th Grade Math – Q1 addition and subtraction expressions using
decimals.
•3-2- Adding and Subtracting Integers
Union Elementary School District quantity.
C4. Use ratio reasoning to
convert measurment units.
Obj: TSW evaluate sums and differences of
decimals using whole number and decimal places.
•3-3- Estimating Products
Obj: TSW estimate products and quotients of whole
numbers using decimals.
•3-4- Multiplying Decimals
Obj: TSW evaluate whole numbers using decimals.
•3-6- Dividing Whole Numbers
Obj: TSW analyze quotients using dividend and
decimals.
•3-7- Dividing Decimals
Obj: TSW find quotients of two decimals using
models and visuals.
•3-10- Problem Solving
Obj: TSW solve multi-step word problems using
real life situations.
Topic 6:
•6-5- Problem Solving/ Drawing Pictures
6.NS.4.
Obj: TSW draw pictures using representations of
different problems.
7. Look for and make
sense of structure.
6.NS.4.
D. Greatest Common Factor using the Distributive
Property
Obj: TSW find the GCF using whole- numbers and
the distributive property.
Multiple
Divisible
Prime
Block 6th Grade Math – Q1 Union Elementary School District 6.NS.4.
Number
Suggested Resources
Composite
Number
Envision
Prime
Factorization
Topic 5:
Greatest
Common
Factor
•5-1- Factors, Multiples and Divisibility
Obj: TSW use divisibility rules using multiples of
whole numbers.
Conjecture
•5-2- Prime Factorization
Common
Multiple
Obj: TSW identify numbers as prime or composite
using prime factorization.
Least
Common
Multiple
•5-3- Greatest Common Factor
Obj: TSW analyze common factors using the
greatest common factor.
•5-7- Problem Solving
6.NS.5.
Obj: TSW evaluate conjectures using strategies.
1. Make sense of
problems and perservere
in solving them.
6.NS.5.
2. Reason abstractly and
quantitatively.
Integers
E. Understanding Positive and Negative numbers
that describe quantities.
Obj: TSW understand positive and negative
numbers using number lines and values.
6.NS.5.
4. Model with
mathematics.
Suggested Resources
Envision
Topic 10:
•10-1- Understanding Integers
Obj: TSW analyze positive and negative integers
using visuals and thermometers.
6.NS.6.
2. Reason abstractly and
Opposites
Absolute
Value
Block 6th Grade Math – Q1 Union Elementary School District F. Rational Numbers on Number Lines
quantitatively.
6.NS.6.
Obj: TSW understand rational numbers using a
number line.
4. Model with
mathematics.
Rational
Number
6. NS. 6.
G1. Recognize opposite
signs of numbers of the
number line.
Suggested Resources
Envision
Topic 10:
•10-3- Rational Numbers on a number line
G2. Understand signs of
numbers as ordered pairs.
G3. Find position of
integers on a number line.
Obj: TSW locate, compare and order rational
numbers on a number line.
•10-9- Graph points on a coordinate plane
6.NS.7.
Obj: TSW identify and graph points using a
coordinate plane.
1. Make sense of
problems and perservere
in solving them.
G. Ordering absolute value and ordering of rational
numbers
Obj: TSW order absolute value of rational numbers
using number lines with positive and negative
numbers.
6.NS. 7.
Suggested Resources
Envision
Topic 10:
10-2- Compare and order integers
Obj: TSW compare and order integers using a
number line.
10-8- Absolute Value
2. Reason abstractly and
quantitatively.
4. Model with
mathematics.
6.NS.7.
Coordinate
Plane
X-axis
Arizona Connections:
Y-axis
- Comparing data for
trends
- Adding and subtracting
integers
Quadrants
Ordered Pairs
Origin
H1. Interpret statements
of inequalities on a
number line.
H2. Write, interpret and
explain statements in real
Block 6th Grade Math – Q1 Obj: TSW compare and order absolute values
using integers and number lines.
H. Graphing in all four quadrants
Obj: TSW solve real world problems by graphing
points in all four quadrants.
6.NS. 8.
Union Elementary School District world contexts.
H3. Understand the
absolute value from a
distance of zero on a
number line.
H4. Distinguish
comparisons of absolute
value from statements in
order.
I. Convert expressions using fractions, decimals and
percents
Obj: TSW convert fractions, decimals, percents
using expressions.
6.NS. 9.
Suggested Resources
http://www.mathsisfun.com/decimal-fractionpercentage.html
Expressions and Equations
Essential Questions:
1. Why do order of operations exist?
2. What purpose do variable expressions serve?
Key Ideas and Details
J. Evaluate expressions with whole number
exponents
6.NS.8.
1. Make sense of
problems and perservere
in solving them.
2. Reason abstractly and
quantitatively.
4. Model.
5. Use appropriate tools.
7. Look for and make
sense of structure.
6.NS.9.2. Reason
abstractly and
quantitatively.
8. Look for and express
regularity in repeated
reasoning.
Obj: TSW evaluate expressions using whole
number exponents.
6. EE.1.
Suggested Resources
6.EE.1.
Base
Expressions and
Equations Mathematical
Practices
Exponent
Arizona Previous
Exponential
Power
Block 6th Grade Math – Q1 Envision
Standards:
Topic 1:
S3C1PO1
•1-3- Exponents and Place Value
S1C3PO1
Obj: TSW write powers as products by evaluating
expressions in expanded form.
Union Elementary School District form
S1C1PO6
S1C2PO1
K. Evaluate Expressions with variables and terms
6.EE.1.
Obj: TSW evaluate expressions using variables and
operations.
2. Reason abstractly and
quantitatively
6.EE.2.
Evaluate
Substitution
6.EE.2.
Input/Output
Suggested Resources
Variable
Envision
Topic 2:
•2-1- Variables and Expressions
Obj: TSW evaluate numerical expressions using
variables.
•2-6- Evaluate Expressions
Obj: TSW evaluate algebraic expressions using
substitution.
6.EE.2.
Coefficient
1. Make sense of
problems and perservere
in solving them.
Algebraic
Expression
2. Reason abstractly and
quantitatively.
3. Construct viable
arguments and critique the
reasoning of others.
4. Model.
•2-7- Describe Patterns
6. Attend to precision.
Obj:TSW identify missing numbers using patterns
to write algebraic expressions.
L1. Write expressions that
record operations.
•2-8- Problem Solving
Obj:TSW solve word problems using tables.
L2. Identify parts of an
expression using
mathematical terms.
Topic 3:
•3-8- Evaluate Expressions
Obj: TSW analyze the order of operations using
L3. Evaluate expressions
at specific values of their
variables.
Perimeter
Area
Block 6th Grade Math – Q1 Union Elementary School District expressions with whole numbers and decimals.
L. Apply to generate equivalent expressions
6.EE.3.
6.EE.3.
Obj: TSW apply the properties of operations using
equivalent expressions.
2. Reason abstractly and
quantitatively.
Commutative
Property
6.EE. 3.
Envision
3. Construct viable
Associative
arguments and critique the Property
reasoning of others.
Identity
4. Model.
Property
Topic 2:
6. Attend to precision.
•2-2- Properties of Operations
7. Look for and make use
of structure.
Suggested Resources
Obj:TSW evaluate missing addends using factors
and properties.
•2-3- Order of Operations
Obj:TSW evaluate numeric expressions with three
variables using the order of operations.
•2-4- Distributive Property
Obj:TSW analyze the distributive property using
expressions.
Topic 17:
•17-1- Perimeter
Obj:TSW evaluate the perimeter using tools and
formulas.
•17-2- Area of rectangles and irregular figures
6.EE.4.
2. Reason abstractly and
quantitatively.
3. Construct viable
arguments and critique the
reasoning of others.
4. Model.
Obj:TSW analyze the area of rectangles and
irregular figures using formulas.
6. Attend to precision.
•17-3- Area of parallelograms and triangles
7. Look for and make use
of structure.
Obj:TSW develop and use the formulas of the area
Distributive
Property
Block 6th Grade Math – Q1 Union Elementary School District of a parallelogram and triangle using coordinate
grids.
6.EE.4.
Equation
M. Identify expressions that are equivalent
Addition
property of
equality
Obj: TSW identify equivalent expressions using
properties.
6.EE.4.
6.EE.5.
Suggested Resources
1. Make sense of
problems and perservere
in solving them.
Envision
Topic 3:
•3-9- Solutions for Equations
Obj: TSW substitute numerical values using
equations and inequalities.
2. Reason abstractly and
quantitatively.
4. Model.
Subtraction
property of
equality
Multiplicatio
n property of
equality
Division
property of
equality
7. Look for and make
sense of structure.
Topic 4:
•4-1- Properties of Equality
6.EE.5.
Obj: TSW analyze the properties of equality using
balance of equations.
Inequality
N. Understanding inequalities and equations
Obj: TSW understand inequalities using
substitution.
6.EE.5.
Suggested Resources
Envision
Topic 3:
6.EE.6.
2. Reason abstractly and
quantitatively.
4. Model.
7. Look for and make
sense of structure.
•3-9- Solutions for equations
Obj:TSW evaluate expressions using numeric
values.
6.EE.7.
Block 6th Grade Math – Q1 Topic 15:
Union Elementary School District •15-7- Problem Solving
1. Make sense of
problems and perservere
in solving them.
Obj: TSW analyze problems by drawing
conclusions and drawing models.
2. Reason abstractly and
quantitatively.
O. Writing expressions with variables and unknown
numbers.
3. Construct viable
arguments and critique the
reasoning of others.
Obj: TSW represent numbers to write expressions
using real world problems.
6. EE. 6.
4. Model.
7. Look for and make
sense of structure.
P. Solving real world problems and solving
equations
Obj: TSW solve real world problems using
equations.
6.EE. 7.
Suggested Resources
Envision
Topic 9:
•9-6- Solving Equations
Obj:TSW solve one step linear equations using
fractions and mixed numbers.
6.EE.8.
1. Make sense of
problems and perservere
in solving them.
2. Reason abstractly and
quantitatively.
3. Construct viable
arguments and critique the
reasoning of others.
4. Model.
7. Look for and make
sense of structure.
Topic 15:
•15-1- Equations with more than one operation
Obj:TSW solve simple two- step equations using all
6.EE.9.
operations.
Q. Inequalities with real world problems that
represent a solution.
Obj: TSW write inequalities using real world
1. Make sense of
problems and perservere
in solving them.
2. Reason abstractly and
Block 6th Grade Math – Q1 Union Elementary School District problems.
quantitatively.
6.EE.8.
Suggested Resources
3. Construct viable
arguments and critique the
reasoning of others.
Envision
4. Model.
6.EE.9.
Topic 15:
7. Look for and make
sense of structure.
Formula
•15-8- Understand inequalities
R. Two quantities using independent and dependent
variables.
Obj: TSW analyze the relationships between
dependent and independent variables using graphs.
6.EE.9.
Suggested Resources
T-table
8. Look for and express
regularity in repeated
reasoning.
Dependent
Variable
Arizona Connections:
- Using graphs and tables
to model and analyze
change.
Envision
Topic 11:
•11-9- Problem Solve with Tables and Patterns
Obj:TSW solve problems by creating a table to find
patterns.
Linear
Equation
Arizona's Previous
Standards Content to
know:
•Converting between
decimals, fractions and
percents.
Topic 12:
•Using prime
factorization.
•12-5- Distance, Rate and Time
•Least common multiple
and greatest common
Obj: TSW analyze formulas using distance, rate and
factor.
time.
•Fractions as rates.
•Comparing and
Topic 15:
ordering integers.
•Absolute Value
•15-2- Patterns/ Equations
•Relationship between
roots and exponents.
Obj:TSW evaluate functions using equations and
•Adding and subtracting
one operation.
integers.
•Multiplying multi-digit
Independent
Variable
Block 6th Grade Math – Q1 •15-3- Patterns/Equations
Obj:TSW evaluate functions using two operations
in a table.
•15-4- Graph/Equations
Obj:TSW graph proportional relationships using
addition and coordinate grids.
•15-5- Graph equations with more than one
operation
Obj:TSW graph linear relationships using one
operation/
Other Resource:
www.helpingwithmath.com/by_grade/gr6_cc_skills.
htm
www.xpmath.com
www.mathgames.fun.net
www.readingresource.net
www.1x1.com/math/grade-6 www.deanadventure.com Units:
Each unit will last approximately 2 weeks.
Unit 1: Number Sense
Unit 2: Variables/Expressions
Unit 3: Algebraic Structures
Unit 4: Rational Numbers and Absolute Value
Union Elementary School District decimals.
•Dividing multi-digit
decimals.
•Multiplying and
dividing fractions.
•Applying all properties.
•Order of
operations(Simplifying
numerical expressions)
•Using benchmarks as
meaniningful points.
•Making estimates in
giving situations.
6th Grade Math – Q2 Block Content/Resources Fractions
Union Elementary School District Skills Mathematical
Practices
Essential Questions:
1. How can we create and interpret useful models that
display division of fractions?
2. How are fractions, decimals and percents related?
A. Division of fractions can be solved using a variety of
methods. Equivalent quantities are shown using
fractions, decimals and percents.
6.NS.1.
Obj: TSW covert between fractions, decimals and
percents using a variety of methods.
Interpret and model quotients of fractions through the
creation of story contexts.[1] ( 6.NS.1)
Compute quotients of fractions.[1] ( 6.NS.1)
Solve word problems involving division of fractions by
fractions, e.g., by using visual fraction models and
equations to represent the problem.[1] (6.NS.1)
Suggested Resources
Envision
Topic 5:
5-4- Understand Fractions
Obj: TSW describe fractions as part of regions using a
number line.
6.N.S.1
6.NS.1.
Fraction
1. Make sense
of problems
and persevere
in solving
them.
2. Reason
abstractly and
quantitatively.
3. Construct
viable
arguments and
critique the
reasoning of
others.
4. Model.
7. Look for and
make sense of
structure.
5-5- Equivalent Fractions
Obj: TSW analyze fractions using visuals and equivalents.
5-6- Fractions in Simplest Form
Obj: TSW simplify fractions by expressing in the lowest
terms.
8. Look for and
express
regularity in
repeated
reasoning.
Arizona
Connections:
Topic 6:
6-1- Fractions and Division
Vocabulary Numerator
Denominator
Equivalent
Fraction
Simplest form
Proper
Fraction
Improper
Fraction
Mixed
Number
Like
Denominators
Unlike
Denominators
Least
Common
Denominator
Reciprocal
Integers
S1C3-2
Block 6th Grade Math – Q2 Obj: TSW analyze fractions using a number line.
6-2- Fractions and Decimals
Obj: TSW identify equivalent fractions using decimals.
Topic 7:
7-1- Add/subtract like denominators
Obj: TSW analyze fractions with like denominators using
adding and subtracting in simplest form.
7-3- Add/subtract unlike denominators
Obj: TSW find the LCM using various sets of numbers.
7-4- Estimate sums and differences of mixed numbers
Obj:TSW estimate sums and differences of fractions by
rounding to the nearest whole numbers.
7-5- Add mixed numbers
Obj: TSW evaluate the sums of mixed numbers using the
non-renaming process.
7-6- Subtract mixed numbers
Obj: TSW evaluate the differences of mixed numbers without
renaming.
Topic 8:
8-1- Multiply Fractions and Whole Numbers
Obj: TSW use different methods to multiply fractions using
whole numbers.
8-2- Estimate Products
Obj: TSW estimate fractions using compatible numbers and
rounding.
8-3- Multiply Fractions
Union Elementary School District S2C3-1
- Making
estimates
- Inverse
between
exponents and
roots.
Block 6th Grade Math – Q2 Union Elementary School District Obj: TSW evaluate the product of two fractions using models
and computations.
8-4- Multiply Mixed Numbers
Obj: TSW evaluate the product of two mixed numbers using
fractions.
Topic 10:
10-4- Add Integers
Obj:TSW evaluate integers using number lines and adding.
10-5- Subtract Integers
Obj:TSW evaluate integers using a number line and
subtracting.
Ratios and Proportional Relationships
Essential Questions:
1. How can we use ratio and rates to solve problems?
2, How do we use ratio relationships to solve real world
mathematical problems.
Key Ideas and Details
A. Describe ratios with two quantities.
Obj: TSW describe ratios using visuals and quantities.
6.RP.1.
Suggested Resources
Envision
Topic 7:
7-7- Problem Solving
6.RP.1.
6.RP.1.
2. Reason
abstractly and
quantitatively.
Ratio
6. Attend to
precision.
Arizona
Connections:
Terms
Block 6th Grade Math – Q2 Obj: TSW solve word problems using tables.
Topic 12:
12-1- Understanding Ratios
Obj: TSW express comparisons as ratios using three different
methods.
Union Elementary School District S3C1PO1
S1C3PO1
S1C1PO6
S1C2PO1
B. Understanding Unit Rates
Obj: TSW understand the concept of unit rates using ratios in
real life situations.
6.RP.2.
6.RP.2.
Suggested Resources
2. Reason
abstractly and
quantitatively
Envision
Topic 12:
6.RP.2.
Rate
Unit Rate
6. Attend to
precision.
12-3- Understand rates/unit rates
Obj:TSW analyze the unit rate using a given rate.
12-6- Problem Solve and Draw pictures
Obj: TSW evaluate pictures using various forms of
information.
C. Using ratios and rates to solve real world problems
Obj: TSW create tables using ratios and rates.
6.RP.3.
6.RP.3.
6.RP.3.
Suggested Resources
1. Make sense
of problems
and persevere
in solving
them.
Proportion
2. Reason
abstractly and
Gram
Envision
Topic 12:
12-2- Equal ratios and proportions
Capacity
Meter
Block 6th Grade Math – Q2 Obj: TSW find equal ratios using proportions.
12-4- Comparing Rates
Obj: TSW compare and use rates using various forms of
information.
Topic 13:
13-1: Ratio tables
Obj: TSW solve proportions using ratio tables and common
factors.
13-2- Using unit rates
Obj: TSW solve proportions using unit rates.
13-3- Apply ratios
Obj: TSW solve ratio problems using tape diagrams and
double number lines.
13-4- Problem Solving- writing to explain
Obj: TSW analyze word problems using solutions.
13-5- Ratios and Graphs
Obj: TSW represent equivalent fractions using tables and
graphs.
Topic 14:
14-1- Understanding percent
Obj: TSW interpret percents using parts of a hundred.
14-2- Fractions to Decimals to Percents
Obj: TSW find equivalent forms of fractions, decimals and
percents using a number line.
14-3- Percents greater than 100 but less than 1
Union Elementary School District quantitatively.
Kilo
4. Model with
mathematics.
Liter
Centi
5. Use
appropriate
tools
strategically.
7. Look for and
make use of
structure.
C1. Make
tables of
equivalent
ratios relating
quantities with
whole-number
measurements.
C2. Solve unit
rate problems
including those
involving unit
pricing.
C3. Find a
percent of a
quantity as a
rate per 100.
C4. use ratio
reasoning to
convert
measurement
units.
Arizona's
Previous
Content to
Know:
Making
estimates
Milli
Block 6th Grade Math – Q2 Union Elementary School District Inverse
between
exponents
and roots
Comparing
data with
trends
Adding and
subtracting
integers
Tree
Diagrams
Mathematic
al
argument
with
fractions
and
decimals
Obj: TSW interpret percents greater than 100 but less than 1
using equivalent fractions and decimal forms.
14-4- Estimate Percents
Obj: TSW analyze percents of numbers using compatible
numbers and estimation.
14-5- Percents of a number
Obj: TSW find a percent of a number by determining the
percent.
14-6- Applying percents to find a whole
Obj: TSW analyze the whole in problems using percents.
14-7- Problem solve with reasonableness
Obj: TSW analyze problems using reasoning.
Topic 16:
16-1- Converting customary measures
Obj: TSW evaluate the change between customary using
length, weight and capacity.
16-2- Converting metric measures
Obj: TSW evaluate change between metric units using length,
mass and capacity.
16-3- Units of measure and precision
Obj: TSW analyze both customary and metric using precision.
16-4- Relating customary and metric
Obj: TSW convert between customary and metric measures
using length, capacity and weight/mass.
16-5- Elapsed Time
Obj: TSW evaluate addition and subtraction of units using
Block 6th Grade Math – Q2 elapsed time.
16-6- Problem Solving
Obj: TSW use reasoning by drawing conclusions and solving
problems.
Suggested websites for all clusters:
http://www.helpingwithmath.com/by_grade/gr6_cc_skills.htm
www.xpmath.com
www.mathgames.fun.net
www.1x1.com
www.readingresource.net
Units:
Each unit should last approximately 2-3 weeks
Unit 4: Fractions
Unit 5: Ratio and Proportions-Tie in rates
Union Elementary School District 6th Grade Math – Q3 Block Content/Resources Union Elementary School District Skills Vocabulary Geometry
Mathematical
Practices
Essential Questions:
1. How do we use Geometry in real life?
Key Ideas and Details
A. Area of polygons and shapes.
Obj: TSW find the area of different shapes using formulas.
6.G.1.
6.G.1.
6.G.1
Suggested Resources
Envision
Topic 8:
8-5- Problem Solving with multi-steps
Obj: TSW solve multi-step word problems using logic and
reasong.
Topic 11:
11-2- Measure by drawing angles
Obj: TSW measure and draw angles and classify them by
their angles using protractors.
11-4- Triangles
Obj: TSW identify and classify triangles using sides and
angle measures.
11-5- Quadrilaterals
Obj: TSW identify and classify quadrilaterals using the
relationships of sides and angle measures.
11-8- Symmetry
Vertex
1. Make sense
of problems and
persevere in
solving them.
Acute
Right
2. Reason
abstractly and
quantitatively.
Obtuse
3. Construct
viable
arguments and
critique the
reasoning of
others.
Reflection
Symmetry
4. Model with
mathematics.
5. Use
appropriate
tools.
6. Attend to
precision.
7. Look for and
make use of
structure.
Straight
Line of
Symmetry
Rotational
Symmetry
Scale Drawing
Scale
Block 6th Grade Math – Q3 Obj: TSW identify and make symmetrical figures by
drawing lines of symmetry.
Topic 13:
13-6- Maps and Scale Drawings
Obj: TSW use maps to solve problems using scale
drawings.
B. Find Volume by applying formulas
Union Elementary School District 8. Look for and
express
regularity in
repeated
reasoning.
Arizona
Connections:
S4C4PO1
S4C1PO1
Obj: TSW find the volume of prisms using formulas and
manipulative.
S4C1PO2
6.G.2.
S4C2PO1
6.G.2.
Suggested Resources
S4C4PO3
Envision
Congruent
figures
6.G.2.
Topic 11:
11-7- Transformations and congruence
Obj: TSW determine whether figures are congruent using
transformation of figures.
Topic 18:
18-3- Volume of a rectangular prism
Obj: TSW analyze the volume of rectangular prisms using a
structured formula.
18-4- Volume with fractional edges and length
Translation
1. Make sense
of problems and
persevere in
solving them.
2. Reason
abstractly and
quantitatively.
Glide
Reflection
Rotation
Volume
3. Construct
viable
arguments and
critique the
reasoning of
others.
Obj: TSW analyze the volume of a rectangular prism using
fractional edge lengths.
4. Model with
mathematics.
C. Drawing polygons on coordinate planes.
5. Use
appropriate
tools.
Obj: TSW draw various polygons using coordinate planes.
Reflection
6. Attend to
Block 6th Grade Math – Q3 Union Elementary School District 6.G.3.
precision.
6.G.3.
Suggested Resources
7. Look for and
make use of
structure.
Point
8. Look for and
express
regularity in
repeated
reasoning.
Ray
Envision
Topic 10:
10-10- Problem Solving
Obj: TSW use reasoning using scale drawings and
coordinate planes.
Topic 11:
11-1- Basic Geometric ideas
Obj: TSW identify geometric terms using two dimensional
figures.
D. Represent three dimensional figures using nets.
Obj: TSW represent 3D figures using nets and surface area.
6.G.4.
Suggested Resources
Envision
Topic 11:
11-6- Circles
Obj: TSW identify parts of a circle using a visual aid
activity.
11-6-Angle Pairs
Obj: TSW identify angle pairs using a coordinate grid.
Topic 17:
17-6-Problem Solving
Obj: TSW analyze problems using objects of geometric
Line
Line Segment
Congruent
Line Segments
6.G.3.
1. Make sense
of problems and
persevere in
solving them.
2. Reason
abstractly and
quantitatively.
4. Model with
mathematics.
5. Use
appropriate
tools.
7. Look for and
make use of
structure.
Midpoint
Intersecting
Lines
Plane
Parallel Lines
Perpendicular
Lines
Vertical
Congruent
Adjacent
Complementar
y
6.G.4.
Supplementary
1. Make sense
of problems and
persevere in
solving them.
6.G.4.
2. Reason
abstractly and
quantitatively.
3. Construct
Cone
Cylinder
Faces
Net
Block 6th Grade Math – Q3 shapes.
17-4- Circumference
Obj: TSW use the concept of pi using the parts of a circle.
17-5- Area of a circle
Obj: TSW use the dimensions of a circle using pi.
Topic 18:
18-1- Solid Figures
Obj: TSW identify polyhedrons using vertices, edges and
faces.
18-2- Surface Area
Obj: TSW solve the surface area of prisms using faces and
formulas.
18-5- Problem Solving
Obj: TSW use objects and reasoning using the volume of
solid figures.
Statistics and Probability
Essential Questions:
How do we summarize and explain data?
Key Ideas and Details
E. Visual Displays with variability to describe statistical
questions.
Obj: TSW recognize a statistical question using real-life
data.
6.SP.1.
Suggested Resources
Union Elementary School District viable
arguments and
critique the
reasoning of
others.
Polyhedron
4. Model with
mathematics.
Sphere
Prism
Pyramid
Vertex
5. Use
appropriate
tools.
6. Attend to
precision.
7. Look for and
make use of
structure.
8. Look for and
express
regularity in
repeated
reasoning.
Arizona's
Previous
Content to
Know:
Missing
Values on
Graphs
Numerical
Sequencing
with
fractions
and
decimals.
Define Pi
and
circumferen
ce and area
of a circle
6.SP.1.
Statistical
Question
Block 6th Grade Math – Q3 Envision
Topic 19:
19-1- Statistical Questioning
Obj: TSW determine whether a question is a statistical
question using dot plots and bar graphs.
F. Understanding data with statistical questions
Obj: TSW develop understanding of data using a line plot.
6.SP.2.
Suggested Resources
Envision
Topic 19:
19-2- Look at data sets
Obj: TSW analyze data using center, spread and overall
shape.
G. Summarizing values in a given set of data
Obj: TSW summarize values using line plots.
6.SP.3.
Suggested Resources
Union Elementary School District Supplement
ary and
Complemen
tary
Translations
and
Reflections
Coordinate
graphing in
all four
quadrants
Missing
Vertex
Measure of
angles
Estimating
map scaling
Area of
polygons
and
irregular
shapes
Perimeter
Relationship
between
volume and
area of base
Arizona's
Previous
Standards:
Topic 19:
2. S2C2PO1
19-10- Problem Solving-Try, Check and Revise
Obj: TSW solve problems using the try, check and revise
Outlier
Mean
Average
1. S2C4PO1
Obj: TSW analyze the mean using various data sets.
Data
Distribution
6.SP.3.
Envision
19-3 Mean
6.SP.2.
3. S2C4PO2
4. S5C2PO9
5.S3C4PO1
Block 6th Grade Math – Q3 Union Elementary School District strategy.
6. S2C2PO2
H. Display data in various forms
6.SP.1.
6.SP.4.
Obj: TSW display data using various forms of graphs.
1. Make sense
of problems and
persevere in
solving them.
Box Plots
6.SP.4.
Quantities
Suggested Resources
Envision
Topic 19:
19-6- Box Plots
Obj: TSW interpret data using box plots.
I. Summarizing Data using forms of contexts
Obj: TSW summarize data using mean, median, mode, and
range in real life situations.
6.SP.5.
Suggested Resources
Envision
Topic 19:
19-4- Median, mode and range
Obj: TSW analyze the median, mode and range using
various forms of data sets.
19-5- Frequency Tables and Histograms
Obj: TSW analyze data using frequency tables and
histograms.
19-7- Measure of variability
Obj: TSW analyze mean and absolute deviation using
variability and data distribution.
3. Construct
viable
arguments and
critique the
reasoning of
others.
6. Attend to
precision
6.SP.2.
2. Reason
abstractly and
quantitatively.
4. Model with
mathematics
6.SP.5.
Frequency
tables
Histograms
5. Use
appropriate
tools.
Median
6. Attend to
precision
Range
7. Make use of
structure
Absolute
Deviation
6.SP.3.
Interquartile
range
2. Reason
abstractly and
quantitatively
Mean Absolute
Deviation
4. Model with
Mode
Block 6th Grade Math – Q3 19-8- Appropriate use of statistical measure
Obj: TSW analyze measures using central tendency.
19-9- Summarize data distribution
Obj: TSW summarize data using center, spread and shape.
Union Elementary School District mathematics
5. Use
appropriate
tools
6. Attend to
precision
Suggested Websites for all clusters:
7. Make use of
http://www.helpingwithmath.com/by_grade/gr6_cc_skills.ht structure
m
6.SP.4.
www.mathgames.fun.net
2. Reason
abstractly and
www.xpmath.com
quantitatively.
www.1x1.com
4. Model with
mathematics
www.readingresource.net
Units:
Unit 7: Statistics
Unit 8: Geometry
5. Use
appropriate
tools.
6. Attend to
precision
7. Make use of
structure
6.SP.5.
2. Reason
abstractly and
quantitatively.
3. Construct
viable
arguments and
critique the
reasoning of
others.
4. Model with
Block 6th Grade Math – Q3 Union Elementary School District mathematics
5. Use
appropriate
tools.
6. Attend to
precision
7. Make use of
structure
I 1. Reporting
number of
observations
I 2. Describing
the nature of the
attribute under
investigation,
including how it
was measures.
I 3. Giving
quantitative
measurements
of center and
variability.
I 4. Relating the
choice of
measures of
center and
variability to the
shape of data
distribution and
the context in
which the data
was gathered.
Arizona's
Previous
Content to
Know:
Building
Block 6th Grade Math – Q3 Union Elementary School District tree
diagrams
Triple Venn
diagrams
Hamilton
Paths and
Circuits
Bar Graphs,
Line Graphs
and Circle
Graphs
Inferences
by
formulating
questions
from
displays of
data
use extreme
values in a
given set of
data
Comparing
trends with
two data
sets
Theoretical
and
Experiment
al
probability
Determine
all possible
outcomes
6th Grade Math Q4 Block Content/Resources Union Elementary School District Skills *** This quarter is divided up into reviewing clusters
from Quarters 1,2 and 3. Take this time to review any
clusters that you feel need attention to prepare your
students' for state testing.
**Below are Seventh grade clusters to focus on to prepare
the students' for Seventh grade.
NUMBER SENSE (NS)
Apply and extend previous understanding of operations
with fractions to add, subtract, multiply, and divide
rational numbers.
A. Compare and order rational numbers using various models
and representations (M07-S1C1-03)
B. Estimate and apply benchmarks for rational numbers and
common irrational numbers (M07-S1C3-01)
C. Estimate square roots of numbers less than 1000 by
locating them between two consecutive whole numbers (M07S1C3-03)
D. Apply and extend previous understandings of addition and
subtraction to add and subtract rational numbers; represent
addition nd subtraction on a horizontal or vertical number line
diagram. (7.NS.1)
E. Apply and extend previous understandings of
multiplication and division and of fractions to multiply and
divide rational numbers. (7.NS.2)
F. Solve real-world and mathematical problems involving the
four operations with rational numbers. (7.NS.3)
G. Apply properties of operations as strategies to add,
subtract, factor, and expand linear expressions with rational
coefficients. (7.EE.1)
RATIOS AND PROPORTIONAL RELATIONSHIPS
(RP)
Vocabulary D1. Describe
situations in
which opposite
quantities
combine to
make 0. For
example, a
hydrogen atom
has a 0 charge
because its two
constituents are
oppositely
charged.
D2. Understand
p + q as the
number located
a distance |q|
from p, in the
Block 6th Grade Math Q4 Union Elementary School District Analyze proportional relationships and use them to solve
real-world and mathematical problems.
positive or
negative
direction
H. Find or use factors, multiples, or prime factorization within depending on
whether q is
a set of numbers.( M07-S1C1-02)
positive or
negative. Show
I. Compute unit rates associated with ratios of fractions,
that a number
including ratios of lengths, areas and other quantities
and its opposite
measured in like or different units.
have a sum of 0
(are additive
(7.RP.1)
inverses).
Interpret sums of
J. Recognize and represent proportional relationships between rational numbers
quantities (7.RP.2)
by describing
real-world
K. Use proportional relationships to solve multi-step ratio and contexts.
percent problems. (7.RP.3)
D3. Understand
subtraction of
L. Estimate the measure of an object in one system of units
rational numbers
given the measure of that object in another system and the
as adding the
approximate conversion factor. (M7-S1C3-04)
additive inverse,
p - q = p + (-q).
M. Solve problems involving scale drawings of geometric
Show that the
figures, including computing actual lengths and areas from a
distance
scale drawing and reproducing a scale drawing at a different
between two
scale.(7.G.1)
rational numbers
on the number
N. Solve logic problems using multiple variables and multiple line is the
conditional statements using words, pictures, and charts. (M7- absolute value of
S5C2-PO 9)
their difference,
and apply this
Suggested Websites for 7th grade:
principle in realworld contexts.
http://www.helpingwithmath.com/by_grade/gr7_cc_skills.htm
D4. Apply
properties of
operations as
strategies to add
and subtract
rational
numbers.
E1. Understand
that
Block 6th Grade Math Q4 Union Elementary School District multiplication is
extended from
fractions to
rational numbers
by requiring that
operations
continue to
satisfy the
properties of
operations,
particularly the
distributive
property, leading
to products such
as (-1)(-1) = 1
and the rules for
multiplying
signed numbers.
Interpret
products of
rational numbers
by describing
real-world
contexts.
E2. Understand
that integers can
be divided,
provided that the
divisor is not
zero, and every
quotient of
integers (with
non-zero
divisor) is a
rational number.
If p and q are
integers, then (p/q) = (-p)/q =
p/(-q). Interpret
quotients of
rational numbers
by describing
real-world
contexts.
Block 6th Grade Math Q4 Union Elementary School District E3. Apply
properties of
operations as
strategies to
multiply and
divide rational
numbers.
E4. Convert a
rational number
to a decimal
using long
division; know
that the decimal
form of a
rational number
terminates in 0s
or eventually
repeats.
F1.
Computations
with rational
numbers extend
the rules for
manipulating
fractions to
complex
fractions.
I. For example,
if a person walks
1/2 mile in each
1/4 hour,
compute the unit
rate as the
complex fraction
1/2/1/4 miles per
hour,
equivalently 2
miles per hour.
J1. Decide
whether two
quantities are in
a proportional
Block 6th Grade Math Q4 Union Elementary School District relationship,
e.g., by testing
for equivalent
ratios in a table
or graphing on a
coordinate plane
and observing
whether the
graph is a
straight line
through the
origin.
J2. Identify the
constant of
proportionality
(unit rate) in
tables, graphs,
equations,
diagrams, and
verbal
descriptions of
proportional
relationships.
J3. Represent
proportional
relationships by
equations. For
example, if total
cost t is
proportional to
the number n of
items purchased
at a constant
price p, the
relationship
between the total
cost and the
number of items
can be expressed
as t = pn
J4. Explain what
a point (x, y) on
the graph of a
Block 6th Grade Math Q4 Union Elementary School District proportional
relationship
means in terms
of the situation,
with special
attention to the
points (0, 0) and
(1, r) where r is
the unit rate.
K1. Calculate
simple interest,
tax, markups
and markdowns,
gratuities and
commissions,
fees, percent
increase and
decrease,
percent error