2020-2021 standards based curriculum plan mathematics grade 6
TRANSCRIPT
St. Louis Public Schools Curriculum 2020-2021
1
2020-2021 Standards Based Curriculum Plan
Mathematics Grade 6
UPDATED 06/2020
St. Louis Public Schools Curriculum 2020-2021
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Priority, Secondary & Supporting Standards The standards identified as High Priority / Secondary / Supporting are based on Item Analysis Reports of MAP 2019
from the Missouri Department of Elementary & Secondary Education (DESE).
High Priority*** Secondary** Supporting*
6.NSA.1 (Division of Fractions) 6.NSB.2 (Division of Whole Numbers) 6.GMA.1 (Area of Polygons)
6.NSB.4a (GCF & LCM) 6.NSB.3 (Operations of Decimals) 6.GMA.2 (Volume of Polygons)
6.NSC.6 (Rational Numbers) 6.NSC.5 (Integers) 6.GMA.4 (Nets)
6.RPA.3 (Ratios & Rates) 6.NSC.7 (Absolute Value) 6.DSP.A.1 (Statistical Questions)
6.EEI.B4 (Equations & Inequalities) 6.NSC.8 (Equivalent Rational Numbers) 6.DSP.A.2 (Data Distribution)
6.EEI.C.9 (Independent & Dependent variables) 6.RPA.1 (Ratios) 6.DSP.A.3 (Measures of Variation)
6.GMA.3 (Coordinate Plane) 6.RPA.2 (Unit Rate) 6.DSP.B.4 (Interpreting Data)
6.EEI.A.1 (Expressions & Equations) 6.DSP.B.5 (Summarizing Data)
6.EEI.A.3 (Equivalent Expressions)
6.EEI.A.2Evaluate Expressions)
6.EEI.B.5 (Equations & Inequalities)
6.EEI.B.7 (Linear Equations)
6.EEI.B.8 (Inequalities)
6.EEI.B.6 (Solving Equations)
By the end of the year students in sixth grade will be able to… Understand and use ratios to solve problems.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Compute with non-negative multi-digit numbers, and find common factors and multiples.
Apply and extend previous understandings of numbers to the system of rational numbers.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Reason about and solve one-variable equations and inequalities.
Represent and analyze quantitative relationships between dependent and independent variables.
Solve problems involving area, surface area and volume.
Develop understanding of statistical variability. Summarize and describe distributions.
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Standards Pacing By Quarter
Quarter 1 Quarter 2 Quarter 3 Quarter 4
Number Sense and Operations Ratio and Proportional Relationships
Geometry and Measurement
Expressions, Equations and
Inequalities
Data Analysis, Statistics and
Probability
Compute with non-negative multi-digit
numbers, and find common factors
and multiples.
6.NSB.2 ** 6.NSB.4a *** 6.NSB.3 **
Understand and use a ratio as a
comparison of two quantities and
represent these comparisons.
6.RPA.1 ** 6.RPA.2 ** 6.RPA.3 ***
Apply and extend previous
understandings of arithmetic to
algebraic expressions.
6.EEI.A.2 ** 6.EEI.A.3 **
Compute with non-negative multi-
digit numbers and find common
factors and multiples.
6.NSB.4b ***
Develop understanding of
statistical variability.
6.DSP.A.1 * 6.DSP.A.2 * 6.DSP.A.3*
Apply and extend previous
understandings of numbers to the
system of rational numbers.
6.NSC.5 ** 6.NSC.6 *** 6.NSC.7 ** 6.NSC.8 **
Solve problems involving area, surface
area and volume.
6.GMA.1 * 6.GMA.2 * 6.GMA.3 *** 6.GMA.4 *
Reason about and solve one-variable
equations and inequalities.
6.EEI.B4 *** 6.EEI.B.5 ** 6.EEI.B.6
6.EEI.B.7 ** 6.EEI.B.8 **
Summarize and describe
distributions.
6.DSP.B.4 * 6.DSP.B.5 *
Apply and extend previous
understandings of multiplication and
division to divide fractions by
fractions.
6.NSA.1***
Apply and extend previous understandings
of arithmetic to algebraic expressions.
6.EEI.A.1 **
Represent and analyze quantitative
relationships between dependent
and independent variables.
6.EEI.C.9 ***
St. Louis Public Schools Curriculum 2020-2021
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Math/Grade 6 - Year at a Glance Standards Based
Curriculum Aligned Instructional Resources
Assessment for/of Student Learning
Standard Topic Essential Questions Text/
Print Only Options Resources for Blended Instruction and
Research Based Intervention
Assessment Resources
Quarter 1
6.NSB.2: Demonstrate fluency
with division of multi-digit whole
numbers.
Number Sense Divide Multi-Digit Whole Numbers
Which strategies are helpful when dividing multi-digit numbers?
How is place value important in long division?
How can models
explain the process
and meaning of long
division?
1.1: Whole Number
Operations
(Pages 2 – 9)
5 days
Eureka Math
G6 M2 Topic C
IXL
Division patterns with zeroes (6-C.2)
Divide numbers ending in zeroes: word problems (6-C.3)
Divide whole numbers - 2-digit divisors (6-C.5)
Divide whole numbers - 3-digit divisors (6-C.6)
Khan Academy Division by 2 digit Multi-digit Division
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6.NSB.4a: Find common factors
and multiples.
a. Find the greatest common
factor (GCF) and the least
common multiple (LCM).
Number Sense Greatest Common Factor and Least Common Multiple
What are common
factors?
Common multiples?
What do factors say
about a number?
What do multiples
say about a number?
What kinds of mathematical models
1.4: Prime
Factorization
(Pages 24 – 29)
1.5: 1.5 Greatest
Common Factor
(Pages 30 – 35)
1.6: Least Common
Multiple
(Pages 36 – 41)
IXL
Identify factors
Find all the factor pairs of a number
Prime factorization
Greatest common factor
Greatest common factor of three or four numbers
Least common multiple
Least common multiple of three or four numbers
GCF and LCM: word problems
Khan Academy
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can be used to show understanding of least common multiple and greatest common factor?
1.6e: Extension
adding and
Subtracting Fractions
(Pages 42 – 43)
6 days
Eureka Math
G6 M2 Topic A
Greatest common factor explained
Greatest common factor examples
Practice greatest common factor
Least common multiple
Least common multiple: repeating factors
Least common multiple of three numbers
Practice least common multiple
GCF and LCM word problems
Practice GCF and LCM word problems
6.NSA.1: Compute and interpret
quotients of positive fractions.
a. Solve problems involving
division of fraction by fractions
Number Sense
Multiplying and dividing proper, improper and mixed fractions
Why does the
process of invert and
multiply work when
dividing fractions?
When dividing a
fraction by a fraction
what do the dividend,
quotient and divisor
represent?
How can one model
division by a mixed
number?
When dividing one
number by another
number, is the
2.1: Multiplying
Fractions
(Pages 54 – 61)
2.2: Dividing Fractions
(Pages 62 – 69)
2.3: Dividing Mixed
Numbers
(Pages 70 – 75)
6 days
Eureka Math
G6 M2 Topic A
IXL
Multiplying fractions using models (6-K.5)
Multiplying two fractions (6-K.6)
Multiplying fractions word problems (6-K.7)
Multiply three or more fractions and whole numbers (6-K.10)
Multiply mixed numbers and whole numbers (6-K.12)
Multiply mixed numbers (6-K.13)
Multiply mixed numbers: word problems (6-K.14)
Multiply three or more mixed numbers, fractions and/or whole numbers (6-K.15)
Divide whole numbers by unit fractions using models (6-L.1)
Reciprocals (6-L.2)
Divide whole numbers and unit fractions (6-L.3)
Divide fractions by whole numbers in recipes (6-L.4)
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quotient always
smaller than the
original number?
Divide fractions (6-L.5)
Divide fractions and mixed numbers (6-L.7)
Divide fractions and mixed numbers: word problems 96-L.8)
Khan Academy
Introduction to multiplying fractions
Multiplying 2 fractions fraction model
Multiplying 2 fractions number line
Practice: Multiplying fractions with visuals
Multiplying 2 fractions 5/6 X 2/3
Practice: Multiplying fractions
Multiplying fractions review
Practice: Represent fraction multiplication with visuals
Understanding division of fractions
Dividing fractions example 1
Dividing fractions example 2
Practice: Dividing fractions
Practice: Divide mixed numbers
Dividing fractions review
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6.NSB.3: Demonstrate fluency
with addition, subtraction,
multiplication and division of
decimals
Number Sense
Using the four basic operations to solve decimals
equations
How can
computation of whole
numbers and
estimation help
accurately solve
questions involving
multiplication and
division of decimals?
What strategies can
be used to determine
whether the product
or quotient is
reasonable?
Which strategies are
efficient when
performing
operations on multi-
digit decimals?
2.4: Adding and
Subtracting Decimals
(Pages 78 – 83)
2.5: Multiplying
Decimals
(Pages 84 – 91)
2.6: Dividing Decimals
(Pages 92 – 99)
5 days
Eureka Math
G6 M2
IXL
Add and subtract decimal
numbers (6-G.1)
Add and subtract decimals:
word problems (6-G.2)
Multiply decimals (6-H.2)
Divide decimals by whole
numbers (6-H.4)
Divide decimals by whole numbers: word problems (6-H.5)
Multiply and divide decimals by powers of ten (6-H.6)
Division with decimal quotients (6-H.7)
Multiply and divide decimals: word problems (6-H.9)
Khan Academy
Adding decimals
Introduction to adding decimals: tenths
Adding decimals with hundredths
Adding decimals example 1
Adding decimals example 2
Adding three decimals
Practice: Add decimals visually
Practice: Adding decimals tenths
Practice: Adding decimals hundredths
Practice: Adding decimals thousandths
Subtracting decimals
Strategies for subtracting more complex decimals with tenths
More advanced subtraction strategies with hundredths
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Subtracting decimals example 1
Subtracting decimals example 2
Practice: subtract decimals visually
Practice: Subtracting decimals: tenths
Practice: Subtracting decimals: hundredths
Practice: Subtracting decimals: thousandths
Intro to multiplying decimals
Developing strategies for multiplying decimals
Multiplying decimals: place value
Multiplying challenging decimals
Practice: Represent decimal multiplication with grids and area models
Practice: Understand multiplying decimals
Practice: Multiply whole numbers by 0.1 and 0.01
Practice: Multiply decimals and whole numbers visually
Practice: Multiply whole numbers and decimals
Practice: Multiplying decimals example 2.45 X 3.6
Practice: Multiplying decimals example 0.847 X3.54
Practice: Multiply decimals (up to 4-digit factors)
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6.NSC.8: Extend prior
knowledge to generate
equivalent representations of
rational numbers between
fractions, decimals and
percentages.
Number Sense
Fluidly convert between fractions, decimals and percent.
How do decimals
and percents relate to
fractions?
3 days
Eureka Math G6 M1
Lesson 24, 25
IXL
Convert fractions to decimals (6-
L.10)
Convert decimals to fractions (6-
L.11)
Convert between decimals and
fractions (6-L.12)
Convert between decimals and
mixed numbers (6-L.13)
Put a mix of decimals and
fractions in order (6-L.14)
Put a mix of decimals, fractions,
and mixed numbers in order (6-
L.15)
Convert between percents,
fractions, and decimals (6-S.2)
Convert between percents,
fractions, and decimals: word
problems (6-S.2a)
Compare percents to each other and to fractions (6-S.3)
Compare percents and fractions: word problems (6-S.4)
What percentage is illustrated? Understanding percents: strip
models Convert fractions to percents
using grid models Convert between percents,
fractions, and decimals Convert between percents,
fractions, and decimals: word problems
Compare percents to each other and to fractions
Compare percents and fractions: word problems
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Khan Academy
Converting decimals to percents: 0.601
Converting decimals to percents: 1.501
Practice Convert decimals to percents
Converting percents to decimals: 59.2%
Converting percents to decimals: 113.9%
Practice: convert percents to decimals
Converting percents to decimals and fractions example
Converting between percents, fractions and decimals
Practice: convert percents to fractions
Practice: Convert fractions to percents
Practice: converting decimals and percents review
Converting percents and fractions review
Writing fractions as decimals review
Writing decimals as fractions review
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6.NSC.5: Use positive and
negative numbers to represent
quantities
Number Sense
Introduction to integers
When are negative
numbers used and
why are they
important?
How do positive and
negative numbers to
represent quantities
in real-world
contexts?
6.1: Integers
(Pages 248 – 253)
3 days
Eureka Math
G6 M3 Topic A
G6 M3 Lesson 13
IXL
Understanding integers (6-M.1)
Integers on number lines (6-
M.2)
Graph integers on horizontal and vertical number lines (6-M.3)
Understanding opposite integers (6-M.3a)
Understanding absolute value (6-M.4)
Absolute value (6-M.5)
Compare integers (6-M.6)
Put integers in order (6-M.7)
Absolute value and integers: word problems (6-M.9)
Khan Academy
Intro to negative numbers
Intro to negative numbers part 2
Practice: Interpreting negative numbers
Practice: Negative numbers on the number line
Ordering negative numbers
Ordering negative numbers part 2
Practice: ordering negative numbers
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6.NSC.6: Locate a rational
number as a point on the number
line
a. Locate rational numbers on a
horizontal or vertical number line.
b. Write, interpret and explain
problems of ordering of rational
numbers.
c. Understand that a number and
its opposite are located on
opposite sides of zero on the
number line.
Number Sense
Interpret, order and explain rational numbers. Understand opposite numbers.
Where are positive
and negative rational
numbers on the
number line?
What are opposites,
and how are
opposites shown on a
number line?
How can coordinates
be used to find the
distances between
points?
How number lines be
used find the
distances between
points?
6.2: Comparing and
Ordering Integers
(Pages 254 – 259)
6.3: Fractions and
Decimals on the
Number Line.
(Pages 260 – 265)
4 days
Eureka Math
G6 M3
IXL
Rational numbers on number lines (6-P.1)
Rational numbers: equal or not equal (6-P.1a)
Compare and order rational numbers using number lines (6-P.2)
Compare rational numbers (6-P.2a)
Put rational numbers in order (6-P.3)
Opposites of rational numbers (6-P.4a)
Khan Academy
Ordering rational numbers
Practice: Compare rational numbers
Number opposites
Number opposites part 2
Practice: Number opposites
Practice: Negative symbol as opposites
Number opposites review
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6.NSC.7: Understand that the
absolute value of a rational
number is its distance from 0 on
the number line.
Number Sense
Absolute Value
Why is it useful to
know the absolute
value of a number?
How can absolute
value be used to find
the lengths of the
sides of polygons on
the coordinate plane?
6.4: Absolute Value
(Pages 268 – 273)
3 days
Eureka Math
G6 M3 Lesson 11
G6 M3 Lesson 13
IXL
Understanding absolute value (6-M.4)
Absolute value (6-M.5)
Absolute value and integers: word problems (6-M.9)
Khan Academy
Intro to absolute value
Absolute value examples
Practice: Finding absolute values
Comparing absolute value
Placing absolute values on the number line
Practice: Compare and order absolute values
Absolute values as distance between numbers
Practice: Absolute value to find distance
Absolute value review
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Quarter 2
6.RPA.1: Understand a ratio
as a comparison of two
quantities and represent
these comparisons.
Ratios and Proportions
Define and compare ratios
How relationships
between two
quantities be
represented?
5.1 Ratios
(Pages 190 – 195)
3 days
Eureka Math
G6 M1
IXL
Write a ratio (6-R.1)
Write a ratio using a fraction (6-R.2)
Write a ratio: word problems (6-R.3)
Which model represents the ratio? (6-R.3b)
Khan Academy
Intro to ratios
Basic ratios
Practice: basic ratios
Ratios review
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6.RPA.3: Solve problems
involving ratios and rates.
a. Create tables of
equivalent ratios, find
missing values in the tables
and plot the pairs of values
on the Cartesian coordinate
plane.
Ratios and Proportions
Equivalent ratios
How can
proportional
relationships be
represented using
rules, tables, and
graphs?
5.2 Ratio Tables
(Pages 196 – 203)
3 days
Eureka Math
G6 M1 Topic B
IXL
Identify equivalent ratios (6-R.4)
Write an equivalent ratio (6-R.5)
Ratio tables (6-R.6)
Equivalent ratios: word
problems (6-R.7)
Khan Academy
Equivalent Ratios
Equivalent Ratios: recipe
Equivalent Ratio: word
problem
Practice: Equivalent Ratio
word problem (basic)
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Practice: Equivalent ratio
word problem
Equivalent ratios in the real
world
Understanding equivalent
ratios
Practice: Understand
equivalent ratios in the real
world
Solving ratio problems with
graphs
6.RPA.2 Understand the
concept of a unit rate
associated with a ratio and
describe the meaning of unit
rate.
6.RPA.3: Solve problems
involving ratios and rates.
b. Solve unit rate problems.
Ratios and Proportions
Ratios and Unit Rates
How can rates
describe changes
in real-life
problems?
How can two ratios
be compared?
5.3 Rates
(Pages 204 – 209)
5.4 Comparing and
Graphing ratios
(Pages 210 – 215)
5 days
Eureka Math G6 M1
Topic C
Eureka MathG6 M1
Topic D
IXL
Unit rates (6-R.8)
Equivalent rates (6-R.9)
Use tape diagrams to solve ratio word problems (6-R.10)
Ratios and rates: word problems (6-R.11)
Khan Academy
Intro to rates
Practice: Unit rates
Solving unit rate problem
Solving unit price problem
Practice: rate problems
Rate review
Multiple rates word problems
Practice: Rate problems 2
Comparing rates example
Practice: Comparing rates
Finding average speed or rate
Speed translation
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6.RPA.3 Solve problems
involving ratios and rates.
c. Solve percent problems.
Ratios and Proportions
Ratios, rates and percent
What is the
connection
between ratios,
fractions and
percents?
What method
helps find percent
of a number?
5.5 Percents
(Pages 218 – 223)
5.6 Solving Percent
Problems
(Pages 224 – 231)
4 days
IXL
Solve percent problems using grid models
Solve percent problems using strip models
Percents of numbers and money amounts
Percents of numbers: word problems
Percents of numbers - with fractional and decimal percents
Find what percent one number is of another
Find what percent one number is of another: word problems
Find the total given a part and a percent
Solve percent problems Solve percent word problems
Khan Academy
Finding a percent
Percent of a whole number
Identifying percent amount and base
Practice: Equivalent representations of percent problems
Practice: finding percents
Percent word problem: 100 is what percent of 80?
Percent word problem: 78 is 15% of what number
Percent work problem: guavas
Percent word problem: recycling cans
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Percent word problem: penguins
Practice: percent word problems
Growing by a percentage
Solving percent problems
Percent word problem: magic club
Practice: Equivalent expressions with percent problems
Practice: Percent problems
Percent word problems: tax and discount
Practice: Tax and tip word problem
Practice: tax and tip word problem
Practice: Discount, markup, and commission word problem
6.RPA.3: Solve problems
involving ratios and rates.
d. Convert measurement
units within and between two
systems of measurement
Ratios and Proportions
Unit Conversion
How to compare
lengths between
customary and
metric system?
5.7 Converting
Measures
(Pages 232 – 237)
3 days
Eureka Math
G6 M1 Lessons 21,
22, 23
IXL
Convert and compare customary units (6-T.3)
Customary unit conversions involving fractions and mixed numbers (6-T.6)
Convert and compare metric units (6-T.7)
Convert between customary and metric systems (6-T.8)
Convert between Celsius and Fahrenheit (6-T.10)
Khan Academy
6.RPA.2 Skills
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6.GMA.1: Find the area of
polygons by composing or
decomposing the shapes
into rectangles or triangles.
Geometry and Measurement
Finding the area of polygons
How to derive a
formula for the
area of a
parallelogram,
triangle, and
trapezoid?
4.1 Areas of
Parallelogram
(Pages 152 – 157)
4.2 Areas of
Triangles
(Pages 158 – 163)
4.3 Area of
Trapezoids
(Pages 166 – 171)
4.3 Extension Area
of Composite
Figures
(Pages 172 – 173)
5 days
Eureka Math
G6 M5
IXL
Area of rectangles and squares (6-FF.2)
Understanding area of a parallelogram (6-FF.2a)
Area of parallelograms (6-FF.2b)
Understanding area of a triangle (6-FF.2c)
Area of triangles (6-FF.3) Understanding area of a
trapezoid (6-FF.3b) Area of trapezoids (6-FF.4) Area of rhombuses (6-
FF.4a) Area of quadrilaterals (6-
FF.5) Area of compound figures
(6-FF.6) Area between two
rectangles (6-FF.7) Area between two triangles
(6-FF.8)
Khan Academy
Area of composite shapes Practice: Area of composite
shapes Practice: Area of rectangles
with partial arrays Practice: Area of rectangles Area of rectangle review Practice: Area challenge Area of a triangle Finding area of triangles Area of triangles Practice: area of triangles
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6.GMA.3 Solve problems by
graphing points in all four
quadrants of the Cartesian
coordinate plane.
a. Understand signs of
numbers in ordered pairs as
indicating locations in
quadrants of the Cartesian
coordinate plane.
b. Recognize that when two
ordered pairs differ only
signs the locations of the
points are related by
reflections across one or
both axes.
c. Find the distances
between the points with the
same first coordinate or the
same second coordinate.
d. Construct polygons in the
Cartesian coordinate plane.
Geometry and Measurement
Coordinate Plane
How can one find
the length of line
segments in a
coordinate plane?
4.4 Polygons in the
Coordinate Plane
(Pages 174 – 179)
3 days
Eureka Math
G6 M3, topic C,
Lesson 16, 18
IXL
Objects on a coordinate plane (6-X.1)
Graph points on a coordinate plane (6-X.2)
Quadrants (6-X.3) Coordinate planes as maps
(6-X.4) Distance between two
points (6-X.5) Follow directions on a
coordinate plane (6-X.6)
Khan Academy
Introduction to the coordinate plane
Coordinate plane: graphing points
Practice: graph points Coordinate plane graphing
word problem Practice: Coordinate plane
word problem (quadrant 1) Coordinate plane word
problems practice (quadrant 1)
Graph points review (positive numbers only)
Points on the coordinate plane examples
Plotting a point (ordered pair)
Finding the point not graphed
Points on the coordinate plane
Practice: Points on the coordinate plane
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Coordinate plane word problem examples
Practice: Coordinate plane problems in all four quadrants
Coordinate plane parts review
Graphing coordinates review
Quadrants of the coordinate plane
Points and quadrants example
Practice: quadrants on the coordinate plane
6.GMA.4: Solve problems
using nets.
a. Represent three-
dimensional figures using
nets made up of rectangles
and triangles.
b. Use nets to find the
surface area of three-
dimensional figures whose
sides are made up of
rectangles and triangles.
Geometry and Measurement
Find nets of 3-dimensional figures
How can one draw
3-D figures?
How can one use
a net to find the
surface area of a
pyramid?
How can one use
manipulatives and
nets to help
compute the
surface areas of
rectangular and
triangular prisms?
8.1 Three-
Dimensional Figures
(Pages 354 – 359)
8.2 Surface Areas of
Prisms
(Pages 360 – 365)
8.3 Surface Areas of
Pyramids
(Pages 368 – 373)
3 days
Eureka Math
IXL
Identify polyhedra Which figure is being
described? Nets of three-dimensional
figures Front, side, and top view
Khan Academy
Intro to nets of Polyhedra
Practice: nets of Polyhedra
Surface area using a net: triangular prism
Surface area of a box (cuboid)
Surface area of a box using nets
Practice: Find surface area by adding areas and faces
Practice: Surface area using nets
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G6 M5 Topic D Practice: Surface area
Surface area using a net: rectangular prism
Surface area word problem example
Practice: Surface area word problems
Surface area review
6.GMA.2 Find the volume of
right rectangular prisms.
(a) Understand that the
volume of a right rectangular
prism can be found by filling
the prism with multiple layers
of the base.
(b) Apply V = l * w * h and V
= Bh to find the volume of
right rectangular prisms.
Geometry and Measurement
Volume of Prisms
How can one find
the volume of a
rectangular prism
with fractional
edge lengths?
8.4 Volume of
Rectangular Prisms
(Pages 374 – 379)
2 days
Eureka Math
G6 M5 Topic C,
lesson 19, 19a
IXL
Volume of cubes and rectangular prisms (6-FF.14)
Volume of cubes and rectangular prisms: word problems (6-FF.15)
Khan Academy
Volume of a rectangular prism
Practice: Volume of rectangular prisms
Volume of rectangular prisms review.
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6.EEI.A.1: Describe the
difference between an
expression and an equation.
Expressions, equations and inequalities
Expressionsvs. Equations
Explain the
difference between
an expression and
an equation.
3.2 Writing
Expressions
(Pages 118 – 123)
4 days
Eureka Math
G6 M4
IXL
Identify expressions and
equations (6-Z)
Khan Academy
Identify expressions,
equations and inequalities.
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Quarter 3
6.EEI.A.2: Create and
evaluate expressions
involving variables and whole
number exponents.
a. Identify parts of an
expression using
mathematical terminology.
b. Evaluate expressions at
specific values of the
variables.
c. Evaluate non-negative
rational number expressions.
d. Write and evaluate
algebraic expressions.
e. Understand the meaning of
the variable in the context of
the situation.
Expressions, equations and inequalities
Identify, evaluate and write expressions.
Write numerical
expressions
involving whole
number exponents.
Evaluate numerical
expressions
involving whole-
number exponents.
What strategies
can one use to
help me
understand and
represent real
situations using
algebraic
expressions?
3.2 Writing
Expressions
(Pages 118 – 123)
4 days
Eureka Math
G6 M4
IXL
Write variable expressions: one operation (6-Y.1)
Write variable expressions: two operations (6-Y.2)
Write variable expressions: word problems (6-Y.3)
Evaluate variable expressions with whole numbers (6-Y.4)
Evaluate multi-variable expressions (6-Y.5)
Evaluate variable expressions with decimals, fractions, and mixed numbers (6-Y.6)
Identify terms and coefficients (6-Y.7)
Sort factors of variable expressions (6-Y.8)
Identify equivalent expressions using strip models (6-Y.8a)
Properties of addition (6-Y.9) Properties of multiplication
(6-Y.10) Multiply using the distributive
property (6-Y.11) Factor using the distributive
property (6-Y.12) Solve for a variable using
properties of multiplication (6-Y.13)
Write equivalent expressions using properties (6-Y.14)
Add and subtract like terms (6-Y.15)
Identify equivalent expressions I (6-Y.16)
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Identify equivalent expressions II (6-Y.17)
Khan Academy
Evaluating expressions with two variables
Practice: Evaluating expressions with multiple variables
Evaluating expressions with two variables fractions and decimals
Practice Evaluating expressions with multiple variables: fractions and decimals
6.EEI.A.3: Identify and
generate equivalent algebraic
expressions using
mathematical properties.
6.EEI.B.4: Use substitution to
determine whether a given
number in a specified set
makes a one-variable
equations or inequality true.
Expressions, equations and inequalities
Equivalent expressions
How are the
properties (Identify,
Associative and
Commutative)
used to evaluate,
simplify and
expand
expressions?
Identify equivalent
expressions.
Determine whether
a given number
makes an equation
or inequality true.
3.3 Properties of
Addition and
Multiplication
(Pages 126 – 131)
5 days
Eureka Math
G6 M4 Topic C, D,
G,H
IXL
Identify equivalent expressions using strip models (6-Y.8a)
Properties of addition (6-Y.9) Properties of multiplication
(6-Y.10) Solve for a variable using
properties of multiplication (6-Y.13)
Write equivalent expressions using properties (6-Y.14)
Add and subtract like terms (6-Y.15)
Identify equivalent expressions I (6-Y.16)
Identify equivalent expressions II (6-Y.17)
Khan Academy
6.EEI.A.3 Skills 6.EEI.B.4 Skills
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6.NSB.4b: Use the distributive
property to express a sum of
two whole numbers with a
common factor as a multiple
of a sum of two whole
numbers.
6.EEI.A.3: Identify and
generate equivalent algebraic
expressions using
mathematical properties.
Expressions, equations and inequalities
Distributive Property
How does one use
algebraic
expressions,
properties of
numbers and the
distributive
property to simplify
and evaluate?
3.4 The Distributive
Property
(Pages 132 – 139)
3.4 Extension
Factoring
Expressions
(Pages 140 – 141)
6 days
Eureka Math
G6 M2 Topic D
IXL
Multiply using the distributive property (6-Y.11)
Factor using the distributive property (6-Y.12)
Khan Academy
Distributive property explained
Practice: Distributive property
Distributive property exercise examples
Distributive property when multiplying
Practice: Visualize distributive property
Distributive property review
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6.EEI.B.6: Write and solve
equations using variables to
represent quantities, and
understand the meaning of
the variable in the context of
the situation
Expressions, equations and inequalities
Solving equations
Analyze if a
solution satisfies
an equation.
Does the solution
set satisfy an
inequality?
What is the
solution of the
inequality?
7.1 Writing Equations
in One Variable
(Pages 294 – 299)
5 days
Eureka Math
G6 M4 Topic G, H
IXL
Write an equation from words (6-Z.3)
New! Identify expressions and equations
Model and solve equations using algebra tiles (6-Z.4)
Khan Academy
Modeling with one-step equations
Practice: Translate one-step equations and solve
Equation word problem: super yoga (1 of 2)
Equation word problem: super yoga (2 of 2)
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Practice: Model with one-step equations
Practice: Model with one step equations and solve
One-step equations review
6.EEI.B.5: Understand that if
any solutions exist, the
solution set for an equation or
inequality consists of values
that make the equation or
inequality true.
6.EEI.B.7: Solve one-step
linear equations in one
variable involving nonnegative
rational numbers.
Expressions, equations and inequalities
Solving one step equations and inequalities
How are the
solutions of
equations and
inequalities
different?
How can one solve
simple algebraic
equations, and
how does one
interpret the
meaning of the
solutions?
7.2 Solving
Equations Using
Addition or
Subtraction
(Pages 300 – 307)
7.3 Solving
Equations Using
Multiplication or
Division
(Pages 308 – 313)
6 days
Eureka Math
G6 M4 Topic G, H,
lesson 33, 34
IXL
Write and solve equations that represent diagrams (6-Z.5)
New! Solve one-step addition and subtraction equations with whole numbers
New! Solve one-step multiplication and division equations with whole numbers
Solve one-step equations with whole numbers (6-Z.6)
New! Solve one-step addition and subtraction equations with decimals, fractions, and mixed numbers
Solve one-step multiplication and division equations with decimals, fractions, and whole numbers (6-Z.7)
New! Solve one-step addition and subtraction equations: word problems
New! Solve one-step multiplication and division equations: word problems
New! Write a one-step equation: word problems
Solve one-step equations: word problems (6-Z.8)
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New! Which word problem matches the one-step equation?
Solve two-step equations Solve equations involving
like terms Solve equations involving
integers
Khan Academy
One-Step addition and subtraction equations
One-Step subtraction equations
Practice: One-Step addition and subtraction equations
One-Step addition and subtraction equations: fractions and decimals
Practice: One-Step addition and subtraction equations: fractions and decimals
One-Step division equations
One- Step multiplication equations
One-step multiplication and division equations
Practice: One-step multiplication and division equations
One-step multiplication and division equations fractions and decimals
Practice: One-step multiplication and division equations fractions and decimals
St. Louis Public Schools Curriculum 2020-2021
28
6.EEI.C.9: Identify and
describe relationships
between two variables that
change in relationship to one
another.
a. Write an equation to
express one quantity, the
dependent variable, in terms
of the other quantity, the
independent variable.
b. Analyze the relationship
between the dependent and
independent variables using
graphs, tables and equations
and relate these
representations to each other
Expressions, equations and inequalities
Independent and dependent variables
How does a
change in one
variable affect the
other variable in a
given situation?
How can variables
be used to
describe patterns?
7.4 Writing Equations
in Two Variables
(Pages 314 – 321)
5 days
Eureka Math
G6 M4 Lesson 31, 32
and topic F
IXL
Does (x, y) satisfy an equation? (6-BB.1)
Identify independent and dependent variables (6-BB.2)
Find a value using two-variable equations (6-BB.3)
Find a value using two-variable equations: word problems (6-BB.4)
Solve word problems by finding two-variable equations (6-BB.5)
Complete a table for a two-variable relationship (6-BB.6)
New! Write a two-variable equation from a table
Write a two-variable equation (6-BB.7)
Identify the graph of an equation (6-BB.8)
Graph a two-variable equation (6-BB.9)
Interpret a graph: word problems (6-BB.10)
Write an equation from a graph using a table (6-BB.11)
Khan Academy
Two –Variable linear equations intro
Solutions to 2-variable equations
Worked Example: solutions to 2-variable equations
Practice: Solutions to 2-vaiable equations
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Completing solutions to 2-variable equations
Practice: Complete solutions to 2 variable equations
Dependent & Independent variables
Practice: Independent versus dependent variables
Dependent & Independent variables: graphing
Practice: Tables from equations with 2 variables
Practice: Match equations to coordinates on a graph
Dependent & Independent variables: equation
Practice: Relationships between quantities in equations and graphs
Dependent and Independent variables review
6.EEI.B.8 Recognize that
inequalities may have infinitely
many solutions.
a. Write an inequality of the
form x>c, x<c, x c or x
represent a constraint or
condition.
b. Graph the solution set of an
inequality
Expressions and Equations
Understanding and interpreting inequalities
How can one write,
interpret and graph
inequalities?
7.5 Writing and
Graphing inequalities
(Pages 324 – 331)
7.6 Solving
Inequalities Using
Addition and
Subtraction
(Pages 332 – 337)
7.7 Solving
Inequalities Using
Multiplication and
Division.
(Pages 338 – 343)
IXL
Solutions to inequalities (6-AA.1)
Graph inequalities on number lines (6-AA.2)
Write inequalities from number lines (6-AA.3)
Solve one-step inequalities (6-AA.4)
Graph solutions to one-step inequalities (6-AA.5)
New! One-step inequalities: word problems
Khan Academy
Testing solutions to inequalities
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10 days
Eureka Math
G6 M4 Lesson 33, 34
Practice: Testing solutions to inequalities (basic)
Plotting inequalities
Plotting an inequality example
Practice: Graphing basic inequalities
Practice: Inequalities from graph
Practice: Plotting inequalities
Inequalities word problems
Practice: Inequalities word problems
Graphing inequalities review
St. Louis Public Schools Curriculum 2020-2021
31
Quarter 4
6.DSP.A.1: Recognize a
statistical question as one that
anticipates variability in the
data related to the question
and accounts for it in the
answers.
Data analysis, statistics & probability Statistical questions
How can one
recognize when a
question is
statistical and
when it is not?
9.1 Introduction to
Statistics
(Pages 390 – 395)
3 days
Eureka Math
G6 M6 Lesson 1
IXL
Identify statistical questions
Khan Academy
Statistical questions Statistical and non-statistical
questions Practice: Statistical
questions
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6.DSP.A.2: 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
Data analysis, statistics & probability
Modes of Central Tendency
How can one find
an average value
of a data set?
In what other ways
can one describe
an average of a
data set?
9.2 Mean
(Pages 396 – 401)
9.3 Measure of
Center
(Pages 402 – 409)
10 days
Eureka Math
G6 M6
IXL
Calculate mean, median, mode, and range (6-HH.2)
Interpret charts and graphs to find mean, median, mode, and range (6-HH.3)
Mean, median, mode, and range: find the missing number (6-HH.4)
Changes in mean, median, mode, and range (6-HH.5)
Khan Academy
Statistics intro: Mean, median & mode
Mean, median & mode example
Median in a histogram
Practice: Calculating the mean
Practice: Calculating the median
Practice: Calculating mean and median from data displays
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Mean as the balancing point
Missing value given the mean
Practice: Missing value given the mean
Impact on median & mean: increasing an outlier
Impact on median & mean: removing an outlier
Practice: Effects of shifting, adding & removing a data point
Estimating mean and median in data displays
Practice: Estimating mean and median in data displays
6.DSP.A.3: Recognize that a
measure of center for a
numerical data set
summarizes all its values with
a single number, while a
measure of variation
describes how its values vary
from a single number.
Data analysis, statistics & probability
Measures of center and variation
How can one
decide which
measure of center
(i.e., mean or
median) best
describes the
data?
What is the
difference in a
measure of center
and a measure of
variation?
How can one
describe the
spread of a data
set?
9.4 Measures of
Variation
(Pages 412 – 417)
9.5 Mean Absolute
Deviation
(Pages 418 – 423)
10 days
Eureka Math
G6 M6
IXL
Interpret line plots (6-GG.3) Create line plots (6-GG.4) Create and interpret line
plots with fractions (6-GG.5) Calculate mean absolute
deviation (6-HH.6) Calculate quartiles and
interquartile range (6-HH.7) Identify an outlier (6-HH.8) New! Identify an outlier and
describe the effect of removing it
New! Describe distributions in line plots
Identify representative, random, and biased samples (6-HH.9)
Khan Academy
Read line plots
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Practice: Solve problems with line plots
Making picture graphs and line plots
Practice: Make line plots
Line plots review
Mean absolute deviation
Mean absolute deviation example
Practice: Mean absolute deviation
Interquartile range
Practice: interquartile range
Sample variance
Sample standard deviation and bias
Practice: sample standard deviation
Mean and standard deviation versus median and IQR
6.DSPB.4: Display and
interpret data.
a. Use dot plots, histograms
and box plots to display and
interpret numerical data.
b. Create and interpret circle
graphs.
Data analysis, statistics & probability
Data graphs
How can one use
place values to
represent data
graphically?
How can one use
intervals, tables
and graphs to
organize data?
10.1 Stem and Leaf
Plots
(Pages 434 - 439)
10.2 Histograms
(Pages 440 - 447)
10.4 Box and
Whisker Plots
(Pages 458 - 465)
10 days
IXL
Interpret histograms (6-GG.11)
Create histograms (6-GG.12)
Interpret stem-and-leaf plots (6-GG.18)
Create stem-and-leaf plots (6-GG.19)
Interpret box-and-whisker plots (6-GG.20)
Choose the best type of graph (6-GG.21)
Khan Academy
Stem and leaf plots Reading stem and leaf plots Practice; Reading stem and
leaf plots
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Eureka Math
G6 M6
Creating a histogram Interpreting a histogram Practice: Create histograms Practice: Read histograms Constructing a box plot Practice: Creating box plots Practice reading box plots Reading box plots Interpreting box plots Practice: Interpreting
quartiles
6.DSP.B.5: Summarize
numerical data sets in relation
to the context.
a. Report the number of
observations.
b. Describe the nature of the
attribute under investigation,
including how it was
measured and its units of
measurement.
c. Give quantitative measures
of center as well as describing
any overall pattern and any
striking deviations from the
overall pattern with reference
to the context of the data.
d. Analyze the choice of
measures of center and
variability based on the shape
of the data distribution and/or
the context of the data
Data analysis, statistics & probability
Data distribution
How can one
describe the shape
of the distribution
of a data set?
10.3 Shapes of
Distribution
(Pages 450 - 455)
10.3 Extension
Choosing
Appropriate
Measures
(Pages 456 - 457)
10 days
Eureka Math
G6 M6
IXL
Calculate mean, median, mode, and range (6-HH.2)
Interpret charts and graphs to find mean, median, mode, and range (6-HH.3)
Calculate mean absolute deviation (6-HH.6)
Calculate quartiles and interquartile range (6-HH.7)
Identify an outlier and describe the effect of removing it (6-HH.9)
Describe distributions in line plots (6-HH.10)
Khan Academy
Shapes of distribution
Practice: Shapes of distribution
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