Download Unit Overview - Duplin County Schools

6th Grade – Unit 1 – Prime Time (23 days)
Things to Emphasize:
 GCF, LCM, and prime factorization
 Prime and composite numbers
 Distributive Property and factoring
 Order of Operations
Standards:
Materials/Technology:

Quick Glance:
Additional Resources:
 Mathshell - LCM and GCF
Evidence of Learning:
 Unit Readiness Assessment
 2 Check Ups
 1 Partner Quiz
 1 Unit Project
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 6th Grade – Prime
Time (Code: PA4QU3KY)
Inv 1 (all): Building on
Factors and Multiples
Inv 2 (all): Common
Multiples and Common
Factors
Inv 3 (all): Searching for
Factor Strings
Inv 4 (all): Linking
Multiplication and Division
Vocabulary:
 Coefficient
 Composite number
 Distributive Property
 Expanded form
 Factor
 Factor pair
 Factored form
 GCF
 LCM
 Order of Operations
 Prime factorization
 Prime number
 Product
 Quotient
 Sum
 Term
6.NS.2 – Fluently divide multi-digit numbers using the standard algorithm.
6.NS.4 – Find the greatest common factor of two whole numbers less than or equal to
100 and the least common multiple of two whole numbers less than or equal to 12.
Use the distributive property to express a sum of two whole numbers 1-100 with a
common factor as a multiple of a sum of two whole numbers with no common factor.
6.EE.1 – Write and evaluate numerical expressions involving whole-number
exponents.
6.EE.2 – Write, read, and evaluate expressions in which letters stand for numbers.
Identify parts of an expression using mathematical terms.
Important Notes:
 Right before this unit, teach
6.NS.2 – they will need
division to work on factors
6th Grade - Unit 2 – Comparing Bits and Pieces (25 days)
Things to Emphasize:
 Relationship between fractions, percents, and
decimals
 Ratios and rates – unit rate
 Benchmarks for percents
 Equivalence
 Negative numbers – opposites, absolute value
Standards:
Materials/Technology:

Additional Resources:
 DPI - Lessons for Learning – Bake Sale Brownies
 DPI - Lessons for Learning – Paper Clip Comparisons
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 This unit is laying the
foundation for work with
 2 Check Ups
fractions, decimals, percents,
 1 Partner Quiz
and negative numbers; they
 1 Unit Test
are not expected to add,
 1 Self Assessment
subtract, multiply, or divide
 1 School Net Assessment them in this unit, this will
Named: 6th Grade –
come in the next two units
Comparing Bits and Pieces
Quick Glance:
Inv 1 (all): Making
Comparisons
Inv 2 (all): Connecting Ratios
and Rates
Inv 3 (all): Extending the
Number Line
Inv 4 (4.1, 4.2): Working
with Percents
Vocabulary:
 Absolute value
 Benchmarks
 Equivalent fractions
 Improper fractions
 Mixed number
 Opposites
 Percent
 Rate table
 Ratio
 Unit rate
6.RP.1 – Understand the concept of a ratio and use ratio language to describe a ratio
relationship between two quantities.
6.RP.2 – Understand the concept of a unit rate a/b associated with a ratio a:b and use
rate language in the context of a ratio relationship.
6.RP.3 – Use ratio and rate reasoning to solve real-world and mathematical
problems. Make takes of equivalent ratios, solve unit rate problems, find percent of a
quantity, use ratio reasoning to convert measurement units.
6.NS.5 – Understand that positive and negative numbers are used together to
describe quantities having opposite directions or values.
6.NS.6 – Understand a rational number as a point on the number line.
6.NS.7 – Understand ordering and absolute value of rational numbers.
6.EE.3 – Apply the properties of operations to generate equivalent expressions.
6.EE.6 – Use variables to represent numbers and write expressions when solving a
real-world or mathematical problem.
6th Grade - Unit 3 – Let’s Be Rational (20 days)
Things to Emphasize:
 Adding and subtracting fractions
 Multiplying fractions
 Dividing fractions
 Area models, visual fraction models, etc. to
represent the operations

Standards:
Materials/Technology:
 Pinch Cards
Quick Glance:
Additional Resources:

Evidence of Learning:
 Unit Readiness Assessment
 2 Check Ups
 1 Partner Quiz
 1 Self Assessment
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 6th Grade – Let’s Be
Rational
Inv 1 (all): Extending
Addition and Subtraction of
Fractions
Inv 2 (all): Building on
Multiplication with Fractions
Inv 3 (all but 3.3): Dividing
with Fractions
Inv 4 (4.3): Wrapping Up the
Operations
Vocabulary:
 Algorithm
 Benchmark
 Number sentence
 Overestimate
 Reciprocal
 Underestimate
6.NS.1 – Interpret and compute quotients of fractions, and solve word problems
involving division of fractions by fractions.
6.NS.2 – Fluently divide multi-digit numbers using the standard algorithm.
6.NS.4 – Find the greatest common factor of two whole numbers less than or equal to
100 and the least common multiple of two whole numbers less than or equal to 12.
Use the distributive property to express.
6.EE.2 – Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.3 – Apply the properties of operations to generate equivalent expressions.
6.EE.6 – Use variables to represent numbers and write expressions when solving a
real-world or mathematical problem.
Important Notes:
 Allow students to represent
these operations in multiple
methods and acquire their
own understanding of how to
preform these operations
before teaching them the
algorithm
6th Grade - Unit 4 – Decimal Ops (23 days)
Things to Emphasize:
 Adding and subtracting decimals
 Multiplying and dividing decimals
 Using percents in real life
Standards:
Materials/Technology:

Quick Glance:
Additional Resources:

Evidence of Learning:
 Unit Readiness Assessment
 2 Check Ups
 1 Partner Quiz
 1 Self Assessment
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 6th Grade – Decimal
Ops
Inv 1 (all): Decimal
Operations and Estimation
Inv 2 (all): Adding and
Subtracting Decimals
Supplement: Multiplying and
Dividing Decimals
Inv 4 (all): Using Percents
Vocabulary:
 Dividend
 Divisor
 Estimate
 Expanded form
 Factored form
 Percent
 Quotient
 Ratio
 Repeating decimal
 Terminating decimal
 Unit rate
6.RP.1 – Understand the concept of a ratio and use ratio language to describe a ratio
relationship between two quantities.
6.RP.2 – Understand the concept of a unit rate a/b associated with a ratio a:b and use
rate language in the context of a ratio relationship.
6.RP.3 – Use ratio and rate reasoning to solve real-world and mathematical problems.
Make takes of equivalent ratios, solve unit rate problems, find percent of a quantity, use
ratio reasoning to convert measurement units.
6.NS.1 – Interpret and compute quotients of fractions, and solve word problems
involving division of fractions by fractions.
6.NS.2 – Fluently divide multi-digit numbers using the standard algorithm.
6.NS.3 – Fluently add, subtract, multiply, and divide multi-digit decimals using the
standard algorithm for each operation.
6.EE.3 – Apply the properties of operations to generate equivalent expressions.
6.EE.5 – Understand solving an equation or inequality as a process of answering a
question. Use substitution to determine if a number makes an equation or inequality
true.
6.EE.6 – Use variables to represent numbers and write expressions when solving a
real-world or mathematical problem.
Important Notes:
 Percents and decimals are one
of the most applicable areas of
math that our students will
encounter on a regular basis –
make sure students can work
with benchmark percents and
find tips, discounts, tax, etc.
6th Grade - Unit 5 – Variables and Patterns (26 days)
Things to Emphasize:
 Relationship between variables, tables, and
graphs
 Equivalent expressions
 Solving equations and inequalities
 Writing expressions and expressions and
interpreting them
Standards:
Materials/Technology:

Quick Glance:
Additional Resources:
 DPI - Lessons for Learning – I’ll Race You?
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment

 2 Check Ups
 1 Partner Quiz
 1 Self Assessment
 1 Unit Test
 1 School Net Assessment Named: 6th Grade –
Variables and Patterns
Inv 1 (all): Variables, Tables,
and Graphs
Inv 2 (all): Analyzing
Relationships Among
Variables
Inv 3 (all): Relating Variables
with Equations
Inv 4 (all): Expressions,
Equations, and Inequalities
Vocabulary:
 Average speed
 Coefficient
 Dependent
 Equation
 Equivalent
 Expression
 Independent
 Inequality
 Rate of change
 Solution
 Term
 Variable
6.RP.3 – Use ratio and rate reasoning to solve real-world and mathematical problems
(equivalent ratios and unit rate).
6.NS.8 – Solve real-world and mathematical problems by graphing points in all four
quadrants of the coordinate plane.
6.EE.2 – Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.3 – Apply the properties of operations to generate equivalent expressions.
6.EE.5 – Understand solving an equation or inequality as a process of answering a
question. Use substitution to determine whether a given number makes it true.
6.EE.6 – Use variables to represent numbers and write expressions when solving a
real-world or mathematical problem.
6.EE.7 – Solve real-world and mathematical problems by writing and solving
equations in the form of x + p = q and px=q (no negatives).
6.EE.8 – Write an inequality of the form x>c or x<c to represent a constraint or
condition in real-world or mathematical problem, has infinitely many solutions, and
represent on number line.
6.EE.9 – Use variables to represent two quantities in a real-world problem that
change in relationship to one another, write an equation to express one quantity,
thought of as the dependent variable, in terms of the other quantity, thought of as the
independent variable.
6th Grade - Unit 6 – Covering and Surrounding (23 days)
Things to Emphasize:
 Area – discover and apply
 Volume – discover and apply
 Surface Area with nets
Standards:
Materials/Technology:

Quick Glance:
Additional Resources:
 DPI - Lessons for Learning – Block Part-y
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 The formulas for area,
volume, and surface area
 2 Check Ups
should be last, students need
 1 Partner Quiz
to develop where these comes
 1 Self Assessment
from, so when they forget the
 1 Unit Test
formula, they see the make up
 1 Unit Project
of the shape and can use their
 1 School Net Assessment own understanding to get the
Named: 6th Grade –
answers
Covering and Surrounding
Inv 1 (all): Extending and
Building on Area and
Perimeter
Inv 2 (all but 2.4): Measuring
Triangles
Inv 3 (all but 3.3): Measuring
Parallelograms
Inv 4 (all): Measuring
Surface Area and Volume
Vocabulary:
 Area
 Base
 Face
 Height
 Net
 Parallelogram
 Perimeter
 Polygon
 Rectangular
prisms
 Surface Area
 Trapezoid
 Triangle
 Volume
6.NS.8 – Solve real-world and mathematical problems by graphing points in all four
quadrants of the coordinate plane.
6.EE.2 – Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.3 – Apply the properties of operations to generate equivalent expressions.
6.EE.4 – Identify when two expressions are equivalent.
6.EE.6 – Use variables to represent numbers and write expressions when solving a
real-world or mathematical problem.
6.G.1- Find the area of right triangles, other triangles, special quadrilaterals and
polygons by composing into rectangles or decomposing into triangles and other
shapes.
6.G.2 – Find the volume of right rectangular prism with fractional edge lengths by
packing it with unit cubes of the appropriate unit fraction edge lengths and use this
to show you can multiply to find volume. Apply the formulas V = lwh and V = bh to
find volumes.
6.G.3 – Draw polygons in the coordinate plane given coordinates for the vertices, find
lengths between points.
6.G.4 – Represent 3D figures using nets made up of rectangles and triangles, and use
the nets to find the surface area of these figures.
6th Grade - Unit 7 – Data About Us (20 days)
Things to Emphasize:
 Center: Mean and median
 Spread: IQR, range, MAD
 Box-and-whisker plots, histograms, line plots
Standards:
Materials/Technology:

Additional Resources:
 DPI - Lessons for Learning – How MAD are you?
 DPI - Lessons for Learning – Shakespeare vs. Rowling
Evidence of Learning:
Important Notes:
 Unit Readiness Assessment
 Have a focus on scale when
creating these
 2 Check Ups
representations of data
 1 Partner Quiz
 1 Self-Assessment
 1 Unit Test
 1 Unit Project
 1 School Net Assessment Named: 6th Grade – Data
About Us
Quick Glance:
Vocabulary:
 Box-and-whisker
Inv 1 (all): What’s in a Name?
 Categorical data
Organizing, Representing,
 Distribution
and Describing Data
 Histogram
 IQR
Supp: Using the Mean
 MAD
 Mean
Inv 3 (all): What’s Your
 Median
Favorite? Measuring
 Mode
Variability
 Numerical data
 Outlier
Inv 4 (4.1, 4.2): What
 Range
Numbers Describe Us?
 Scale
 Variability
6.SP.1 – Recognize a statistical question as one that anticipates variability in the data
related to the question and accounts for it in the answers.
6.SP.2 – Understand that a set of data collected to answer a statistical question has a
distribution which can be described by it’s center, spread, and overall shape.
6.SP.3 – Recognize that a measure of center for a numerical data set summarizes all o
fits values with a single number, while a measure of variation describes how its
values vary with a single number.
6.SP.4 – Display numerical data in plots on a number line, including dot plots,
histograms, and box plots.
6.SP.5 – Summarize numerical data sets in relation to their context (report # of
observations, mean, median, IQR, MAD, variability and center)