2020-2021 standards based curriculum plan mathematics grade 6

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St. Louis Public Schools Curriculum 2020-2021 1 2020-2021 Standards Based Curriculum Plan Mathematics Grade 6 UPDATED 06/2020

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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

2

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.

St. Louis Public Schools Curriculum 2020-2021

3

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

4

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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5

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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6

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

St. Louis Public Schools Curriculum 2020-2021

7

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)

St. Louis Public Schools Curriculum 2020-2021

9

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

St. Louis Public Schools Curriculum 2020-2021

11

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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14

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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21

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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23

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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24

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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