Current Unit of Study
We are currently working on Unit 1: Statistics
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Grade 6
Unit 1 – Statistics
• Understand that a statistical question anticipates variability
• Understand that data collected can be described by its distribution at the center, spread, and overall
shape
• Understand measure of center (mean and median) and find the interquartile range of a set of data on a
graph to describe a pattern for a deviation from the pattern
• Organize, display, and interpret data on a number line, dot plot, histogram and box plot
• Analyze sets of data, describe the attributes, and summarize patterns and trends
Unit 2 - Factors, Multiples & Divisibility Rules
• Divisibility rules
• Find the GCF of two whole numbers less than or equal to 100
• Find the LCM of two whole numbers less than or equal to 12
• Use the distributive property to express the sum of two whole numbers through 100 using a common
factor. For example, 36 + 8 as 4(9 + 2)
Unit 3 - Division of Fractions
• Use visual and/or fraction models to illustrate the division of fractions
• Solve word problems and equations involving fractions
• Understand the algorithm a/b ÷ c/d = a/b • c/d
• Represent an equation with a situation
Unit 4 - Decimal Computation
• Use the standard algorithm to divide multi-digit numbers
• Use standard algorithms to add, subtract, multiply, and divide multi-digit decimals
• Increase fluency when dividing multi-digit numbers and when performing all four operations with multi-
digit decimals using the standard algorithms
Unit 5 - Rates & Ratios
• Understand the concept of ratios & use ratio &rate language to describe the relationship between two
quantities
• Understand the concept of a unit rate a/b (limited to noncomplex fractions) associated with a ratio a:b
with b ≠ 0
• Use ratio & rate reasoning to solve real-world mathematical problems & unit rate problems including
unit pricing & constant speed
• Make tables of equivalent ratios and find missing values
• Given a part & the percent, find a percent of a quantity as a rate per 100 & solve problems finding the
whole
• Use ratio and rate reasoning to convert measurement units (for example feet to inches)
• Use variables to represent an unknown number and write expressions in problems dealing with ratios
and rates
Unit 6 - Rational Numbers
• Describe and recognize quantities having opposite directions or values
• Understand that the value of numbers is smaller to the left on the number line
• Interpret statements of inequality relative to their position on the number line
• Use positive and negative numbers to represent quantities in real-world context
• Write, interpret, and explain comparisons of rational numbers in real-world situations
• Understand that rational numbers can be represented as points on a number line
• Understand that absolute value is the distance a number is from 0
• Use absolute value to find the distance between two points
• Graph ordered pairs in all four quadrants of the coordinate plane
• Understand signs of ordered pairs and their locations in the quadrants of the coordinate plane
• Use tables to find missing values of pairs and plot them on a coordinate system
• Recognize that when an ordered pair differs only in sign, it is a reflection of the point across at least one
axis
Unit 7 - Expressions
• Using mathematical vocabulary (sum, term, product, factor, quotient, coefficient), identify parts of an
expression
• Write expressions using variables
• Evaluate expressions and formulas using the order of operations
• Using whole number exponents, write and evaluate numerical expressions
• Translate real-world problems into algebraic expressions
Unit 8 - Properties of Operations
• Apply the properties of operations (associative of addition, associative of multiplication, identity,
commutative of addition, commutative of multiplication and the distributive property), to expressions.
• Use the properties of operations to generate equivalent expressions.
• Identify two equivalent expressions.
Unit 9 – Equations & Inequalities
• Use variables to represent numbers
• Use variables to write expressions and equations
• Use substitution to determine whether a given number or set of numbers is solution to an equation or
inequality
• Write & solve equations that represent real-world mathematical problems that involve nonnegative
rational #s
• Write an inequality ( < or > ) and represent it on a number line
• Understand the differences between equations and inequalities
• Know that inequalities represent more than one solution
• Use graphs, tables, and equations to analyze independent and dependent variables
• Solve real-world problems using inequalities and equations
Unit 10 - Geometry
• Calculate the area of polygons by composing into rectangles and decomposing into triangles
• Develop and justify formulas for finding the area of triangles, special quadrilaterals, and other polygons
• Draw polygons in the coordinate plane given the coordinates
• Find side lengths of polygons on a coordinate plane using the corresponding (x, y) coordinates
• Apply the techniques of composing/decomposing to solve real-world problems involving area of
polygons
• Find the volume of a right rectangular prism with fractional lengths by packing it with unit cubes
• Understand that equivalent volumes can be found either when you pack it with unit cubes or use the
formula
• Apply the formula V=lwh and V=Bh to find volumes of right rectangular prisms with fractional side
lengths in real-world and mathematical problems
• Use nets made up of rectangles and triangles to represent three-dimensional figures to find surface area
• Find the surface area of prisms and pyramids by decomposing them into pieces whose area can be
determined
Unit 1 – Statistics
• Understand that a statistical question anticipates variability
• Understand that data collected can be described by its distribution at the center, spread, and overall
shape
• Understand measure of center (mean and median) and find the interquartile range of a set of data on a
graph to describe a pattern for a deviation from the pattern
• Organize, display, and interpret data on a number line, dot plot, histogram and box plot
• Analyze sets of data, describe the attributes, and summarize patterns and trends
Unit 2 - Factors, Multiples & Divisibility Rules
• Divisibility rules
• Find the GCF of two whole numbers less than or equal to 100
• Find the LCM of two whole numbers less than or equal to 12
• Use the distributive property to express the sum of two whole numbers through 100 using a common
factor. For example, 36 + 8 as 4(9 + 2)
Unit 3 - Division of Fractions
• Use visual and/or fraction models to illustrate the division of fractions
• Solve word problems and equations involving fractions
• Understand the algorithm a/b ÷ c/d = a/b • c/d
• Represent an equation with a situation
Unit 4 - Decimal Computation
• Use the standard algorithm to divide multi-digit numbers
• Use standard algorithms to add, subtract, multiply, and divide multi-digit decimals
• Increase fluency when dividing multi-digit numbers and when performing all four operations with multi-
digit decimals using the standard algorithms
Unit 5 - Rates & Ratios
• Understand the concept of ratios & use ratio &rate language to describe the relationship between two
quantities
• Understand the concept of a unit rate a/b (limited to noncomplex fractions) associated with a ratio a:b
with b ≠ 0
• Use ratio & rate reasoning to solve real-world mathematical problems & unit rate problems including
unit pricing & constant speed
• Make tables of equivalent ratios and find missing values
• Given a part & the percent, find a percent of a quantity as a rate per 100 & solve problems finding the
whole
• Use ratio and rate reasoning to convert measurement units (for example feet to inches)
• Use variables to represent an unknown number and write expressions in problems dealing with ratios
and rates
Unit 6 - Rational Numbers
• Describe and recognize quantities having opposite directions or values
• Understand that the value of numbers is smaller to the left on the number line
• Interpret statements of inequality relative to their position on the number line
• Use positive and negative numbers to represent quantities in real-world context
• Write, interpret, and explain comparisons of rational numbers in real-world situations
• Understand that rational numbers can be represented as points on a number line
• Understand that absolute value is the distance a number is from 0
• Use absolute value to find the distance between two points
• Graph ordered pairs in all four quadrants of the coordinate plane
• Understand signs of ordered pairs and their locations in the quadrants of the coordinate plane
• Use tables to find missing values of pairs and plot them on a coordinate system
• Recognize that when an ordered pair differs only in sign, it is a reflection of the point across at least one
axis
Unit 7 - Expressions
• Using mathematical vocabulary (sum, term, product, factor, quotient, coefficient), identify parts of an
expression
• Write expressions using variables
• Evaluate expressions and formulas using the order of operations
• Using whole number exponents, write and evaluate numerical expressions
• Translate real-world problems into algebraic expressions
Unit 8 - Properties of Operations
• Apply the properties of operations (associative of addition, associative of multiplication, identity,
commutative of addition, commutative of multiplication and the distributive property), to expressions.
• Use the properties of operations to generate equivalent expressions.
• Identify two equivalent expressions.
Unit 9 – Equations & Inequalities
• Use variables to represent numbers
• Use variables to write expressions and equations
• Use substitution to determine whether a given number or set of numbers is solution to an equation or
inequality
• Write & solve equations that represent real-world mathematical problems that involve nonnegative
rational #s
• Write an inequality ( < or > ) and represent it on a number line
• Understand the differences between equations and inequalities
• Know that inequalities represent more than one solution
• Use graphs, tables, and equations to analyze independent and dependent variables
• Solve real-world problems using inequalities and equations
Unit 10 - Geometry
• Calculate the area of polygons by composing into rectangles and decomposing into triangles
• Develop and justify formulas for finding the area of triangles, special quadrilaterals, and other polygons
• Draw polygons in the coordinate plane given the coordinates
• Find side lengths of polygons on a coordinate plane using the corresponding (x, y) coordinates
• Apply the techniques of composing/decomposing to solve real-world problems involving area of
polygons
• Find the volume of a right rectangular prism with fractional lengths by packing it with unit cubes
• Understand that equivalent volumes can be found either when you pack it with unit cubes or use the
formula
• Apply the formula V=lwh and V=Bh to find volumes of right rectangular prisms with fractional side
lengths in real-world and mathematical problems
• Use nets made up of rectangles and triangles to represent three-dimensional figures to find surface area
• Find the surface area of prisms and pyramids by decomposing them into pieces whose area can be
determined