Learning Continuum - Math 6+ CCSS 2010 1.1
| Table of Contents | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
...
RIT 151-160
Statistics and Probability
...
Area
Determines the area of figures by tiling with whole unit squares
Data Representation
Represents data in bar graphs with multi-unit scales
RIT 161-170
Operations and Algebraic Thinking
...
Area
Determines the area of figures by tiling with whole unit squares
Determines the area of figures composed of whole unit squares
Data Representation
Represents data in bar graphs with multi-unit scales
Problem Solving with Units
Solves one-step money word problems involving whole number addition or subtraction
RIT 171-180
Operations and Algebraic Thinking
...
Area
Determines the area of figures by tiling with whole unit squares
Determines the area of figures composed of whole unit squares
Represents the area of rectangles composed of whole unit squares using multiplication expressions or equations
Conversion of Units
Completes simple conversions of units of time
Data Representation
Represents data in bar graphs with multi-unit scales
Money
Determines the decimal value of a collection of coins and/or bills given as names
Perimeter/Circumference
Determines the perimeter of basic polygons with all sides labeled
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Problem Solving with Units
Solves one-step money word problems involving whole number addition or subtraction
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Time
Completes simple conversions of units of time
Knows relative sizes of units of time
RIT 181-190
Operations and Algebraic Thinking
...
Angle Measurement
Calculates unknown angle measures using the additive property of angles
Area
Determines the area of figures by tiling with whole unit squares
Determines the area of figures composed of whole unit squares
Represents the area of rectangles composed of whole unit squares using multiplication expressions or equations
Bivariate Data
Constructs scatter plots of bivariate data
Capacity
Knows relative sizes of customary units of capacity
Conversion of Units
Completes simple conversions of units of time
Data Analysis
Adds and subtracts to answer questions about bar graphs with multi-unit scales
Data Representation
Constructs scatter plots of bivariate data
Represents data in bar graphs with multi-unit scales
Represents data in line or dot plots with whole‑number scales
Represents data in pictographs with multi-unit scales
Length
Knows relative sizes of customary units of length
Money
Determines the decimal value of a collection of coins and/or bills given as names
Perimeter/Circumference
Determines the perimeter of basic polygons with all sides labeled
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Problem Solving with Units
Solves one-step money word problems involving whole number addition or subtraction
Solves one-step money word problems involving whole number multiplication or division
Solves one‑step capacity word problems involving whole-number addition or subtraction
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Time
Completes simple conversions of units of time
Knows relative sizes of units of time
Volume
Determines the volume of figures by counting unit cubes
RIT 191-200
Operations and Algebraic Thinking
...
Angle Measurement
Calculates unknown angle measures using the additive property of angles
Identifies/estimates angle measures
Area
Determines the area of figures by tiling with whole unit squares
Determines the area of figures composed of whole unit squares
Determines the area of rectangles with whole-number sides, formula not provided
Explains the relationship between tiling a figure and multiplying side lengths to find the area
Represents the area of rectangles composed of whole unit squares using multiplication expressions or equations
Solves problems involving areas of rectangles within a real-world or mathematical context
Bivariate Data
Constructs scatter plots of bivariate data
Describes and interprets data in a scatter plot
Distinguishes between linear and nonlinear relationships in scatter plots
Capacity
Completes simple conversions of customary units of capacity
Conversion of Units
Completes simple conversions of customary units of capacity
Completes simple conversions of customary units of length
Completes simple conversions of customary units of weight
Completes simple conversions of units of time
Solves multi-step length word problems involving whole numbers and conversion of customary units
Data Analysis
Adds and subtracts to answer questions about bar graphs with multi-unit scales
Identifies the median, quartiles, extreme values, and outliers from a box plot
Reads and interprets data from line or dot plots with whole‑number scales
Data Representation
Constructs scatter plots of bivariate data
Represents data in bar graphs with multi-unit scales
Represents data in line or dot plots with whole‑number scales
Represents data in pictographs with multi-unit scales
Length
Completes simple conversions of customary units of length
Knows relative sizes of customary units of length
Knows relative sizes of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Identifies the median, quartiles, extreme values, and outliers from a box plot
Money
Determines the decimal value of a collection of coins and/or bills given as names
Solves money word problems involving decimals and coins and/or bills given as names
Solves money word problems involving decimals and coins and/or bills given as pictures
Perimeter/Circumference
Determines the perimeter of basic polygons in which not all sides are labeled
Determines the perimeter of basic polygons with all sides labeled
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Problem Solving with Units
Solves money word problems involving decimals and coins and/or bills given as names
Solves money word problems involving decimals and coins and/or bills given as pictures
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves one-step money word problems involving whole number addition or subtraction
Solves one‑step capacity word problems involving whole-number addition or subtraction
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Time
Completes simple conversions of units of time
Volume
Determines the volume of figures by counting unit cubes
Determines the volume of rectangular prisms, formula not provided
Identifies rectangular prisms composed of unit cubes that have the same volume as a given rectangular prism
Understands that a unit cube has sides of 1 unit in length and a volume of 1 cubic unit
Weight/Mass
Completes simple conversions of customary units of weight
RIT 201-210
Operations and Algebraic Thinking
...
Angle Measurement
Calculates unknown angle measures using the additive property of angles
Identifies/estimates angle measures
Area
Determines side lengths given the area of rectangles
Determines the area of figures composed of whole and partial unit squares
Determines the area of rectangles with whole-number sides, formula not provided
Explains the relationship between tiling a figure and multiplying side lengths to find the area
Solves problems involving areas of rectangles within a real-world or mathematical context
Bivariate Data
Constructs scatter plots of bivariate data
Describes and interprets data in a scatter plot
Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships
Determines if two categorical variables are correlated with a causal relationship or correlated without a causal relationship
Determines relative frequencies in a two-way frequency table
Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Capacity
Completes simple conversions of customary units of capacity
Conversion of Units
Completes simple conversions of customary units of capacity
Completes simple conversions of customary units of length
Completes simple conversions of customary units of weight
Completes simple conversions of units of time
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Data Analysis
Adds and subtracts to answer questions about bar graphs with multi-unit scales
Adds and subtracts to answer questions about pictographs with multi-unit scales
Compares the means and medians of related data sets from random samples represented in histograms
Identifies outliers in a data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Reads and interprets data from a histogram
Reads and interprets line or dot plots with fractional scales
Solves multi-step problems using data from bar graphs with multi-unit scales
Data Representation
Constructs scatter plots of bivariate data
Represents data in line or dot plots with fractional scales
Represents data in line or dot plots with whole‑number scales
Represents data in pictographs with multi-unit scales
Length
Completes simple conversions of customary units of length
Knows relative sizes of customary units of length
Knows relative sizes of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Compares the means and medians of related data sets from random samples represented in histograms
Determines the median of a data set that is ordered
Identifies the median, quartiles, extreme values, and outliers from a box plot
Interprets the median in the context of a data set
Money
Determines the decimal value of a collection of coins and/or bills given as names
Solves money word problems involving decimals and coins and/or bills given as pictures
Perimeter/Circumference
Determines side lengths given the perimeter of rectangles
Determines the perimeter of basic polygons in which not all sides are labeled
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Problem Solving with Units
Solves money word problems involving decimals and coins and/or bills given as pictures
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step money word problems involving whole numbers within 100
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Solves one-step money word problems involving whole number addition or subtraction
Solves one‑step capacity word problems involving whole-number addition or subtraction
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Time
Completes simple conversions of units of time
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Volume
Determines the missing dimension of a rectangular prism composed of unit cubes given the volume and other dimensions
Determines the volume of figures by counting unit cubes
Determines the volume of rectangular prisms, formula not provided
Identifies rectangular prisms composed of unit cubes that have the same volume as a given rectangular prism
Represents the volume of rectangular prisms composed of unit cubes, using multiplication expressions or equations
Understands that a unit cube has sides of 1 unit in length and a volume of 1 cubic unit
Weight/Mass
Completes simple conversions of customary units of weight
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
RIT 211-220
Operations and Algebraic Thinking
...
Angle Measurement
Calculates unknown angle measures using the additive property of angles
Identifies/estimates angle measures
Measures non-right angles using a protractor
Area
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Determines side lengths given the area of rectangles
Determines the area of figures composed of whole and partial unit squares
Determines the area of rectangles with whole-number sides, formula not provided
Explains the relationship between tiling a figure and multiplying side lengths to find the area
Identifies a unit square
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving the area of figures composed of whole unit squares
Bivariate Data
Analyzes linear trends in scatter plots to make predictions
Constructs scatter plots of bivariate data
Constructs two-way frequency tables
Describes and interprets data in a scatter plot
Describes and interprets outliers and clusters in a scatter plot
Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships
Determines if two categorical variables are correlated with a causal relationship or correlated without a causal relationship
Determines relative frequencies in a two-way frequency table
Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Identifies a lurking variable to explain why correlation does not imply causation in a given situation
Capacity
Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units
Completes simple conversions of customary units of capacity
Conversion of Units
Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units
Completes complex conversions of customary units of length involving fractions, decimals, or more than two units
Completes simple conversions of customary units of capacity
Completes simple conversions of customary units of length
Completes simple conversions of customary units of weight
Completes simple conversions of units of time
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Data Analysis
Adds and subtracts to answer questions about bar graphs with multi-unit scales
Adds and subtracts to answer questions about pictographs with multi-unit scales
Compares the distributions of multiple data sets presented in line or dot plots, or histograms
Compares the means and medians of related data sets from random samples represented in histograms
Identifies outliers in a data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Reads and interprets line or dot plots with fractional scales
Solves word problems using data from line or dot plots with fractional scales
Data Representation
Constructs scatter plots of bivariate data
Constructs two-way frequency tables
Represents data in line or dot plots with fractional scales
Fractions: Represent and Solve Word Problems
Solves word problems using data from line or dot plots with fractional scales
Length
Completes complex conversions of customary units of length involving fractions, decimals, or more than two units
Completes simple conversions of customary units of length
Knows relative sizes of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Compares the means and medians of related data sets from random samples represented in histograms
Determines the mean of a data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Interprets the median in the context of a data set
Money
Determines the decimal value of a collection of coins and/or bills given as names
Perimeter/Circumference
Determines side lengths given the perimeter of rectangles
Determines the perimeter of basic polygons in which not all sides are labeled
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Problem Solving with Units
Solves multi-step length word problems involving whole numbers
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step money word problems involving whole numbers within 100
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Solves one-step weight/mass word problems involving whole number addition and subtraction
Solves one‑step capacity word problems involving whole-number addition or subtraction
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Solves problems involving rectangular prisms composed of unit cubes
Properties and Relationships of Operations
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Time
Completes simple conversions of units of time
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Volume
Determines the missing dimension of a rectangular prism composed of unit cubes given the volume and other dimensions
Determines the volume of figures by counting unit cubes
Determines the volume of rectangular prisms, formula not provided
Identifies rectangular prisms composed of unit cubes that have the same volume as a given rectangular prism
Recognizes situations which describe volume
Represents the volume of rectangular prisms composed of unit cubes, using multiplication expressions or equations
Represents the volume of rectangular prisms composed of unit cubes, using repeated addition expressions or equations
Solves problems involving rectangular prisms composed of unit cubes
Understands that a unit cube has sides of 1 unit in length and a volume of 1 cubic unit
Weight/Mass
Completes simple conversions of customary units of weight
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
RIT 221-230
Operations and Algebraic Thinking
...
Angle Measurement
Calculates and explains how to find unknown angle measures using the additive property of angles
Calculates unknown angle measures using the additive property of angles
Explains how to find unknown angle measures using the additive property of angles
Identifies/estimates angle measures
Knows the definition of an angle
Measures non-right angles using a protractor
Understands what the measure of an angle represents
Area
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Determines side lengths given the area of rectangles
Determines the area of figures composed of rectangles
Determines the area of rectangles with whole-number sides, formula not provided
Identifies a unit square
Solves problems involving areas of rectangles within a real-world or mathematical context
Bivariate Data
Analyzes linear trends in scatter plots to make predictions
Approximates the line of best fit on a scatter plot
Constructs scatter plots of bivariate data
Constructs two-way frequency tables
Describes and interprets data in a scatter plot
Describes and interprets outliers and clusters in a scatter plot
Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships
Determines relative frequencies in a two-way frequency table
Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Interprets the meaning of the slope or y-intercept of a line of best fit or regression line
Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship
Uses a given equation of a line of best fit to make predictions
Capacity
Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Conversion of Units
Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units
Completes complex conversions of customary units of length involving fractions, decimals, or more than two units
Completes complex conversions of more than two units of time
Completes simple conversions of customary units of length
Completes simple conversions of customary units of weight
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Data Analysis
Adds and subtracts to answer questions about pictographs with multi-unit scales
Compares the distributions of multiple data sets presented in line or dot plots, or histograms
Compares the means and medians of related data sets from random samples represented in histograms
Compares the variability of related data sets from random samples presented in box plots
Identifies outliers in a data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Reads and interprets line or dot plots with fractional scales
Solves word problems using data from line or dot plots with fractional scales
Data Representation
Constructs scatter plots of bivariate data
Constructs two-way frequency tables
Represents data in histograms
Represents data in line or dot plots with fractional scales
Fractions: Represent and Solve Word Problems
Solves word problems using data from line or dot plots with fractional scales
Length
Completes complex conversions of customary units of length involving fractions, decimals, or more than two units
Completes simple conversions of customary units of length
Knows relative sizes of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Compares the means and medians of related data sets from random samples represented in histograms
Compares the variability of related data sets from random samples presented in box plots
Determines the mean of a data set
Determines the median of a data set that is not ordered
Determines the range of a data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Interprets the median in the context of a data set
Perimeter/Circumference
Determines side lengths given the perimeter of rectangles
Determines the perimeter of basic polygons in which not all sides are labeled
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Points, Lines, Segments, Rays, and Angles
Knows the definition of an angle
Understands what the measure of an angle represents
Problem Solving with Units
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Solves one-step weight/mass word problems involving whole number multiplication and division
Solves one‑step capacity word problems involving whole-number addition or subtraction
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Solves problems involving rectangular prisms composed of unit cubes
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Properties and Relationships of Operations
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Time
Completes complex conversions of more than two units of time
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Volume
Determines possible dimensions for rectangular prisms given one dimension and the volume in unit cubes
Determines the missing dimension of a rectangular prism composed of unit cubes given the volume and other dimensions
Determines the volume of figures by counting unit cubes
Determines the volume of figures composed of rectangular prisms
Determines the volume of rectangular prisms, formula not provided
Identifies rectangular prisms composed of unit cubes that have the same volume as a given rectangular prism
Recognizes situations which describe volume
Represents the volume of rectangular prisms composed of unit cubes, using repeated addition expressions or equations
Solves problems involving rectangular prisms composed of unit cubes
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Understands how volume is measured
Understands that a unit cube has sides of 1 unit in length and a volume of 1 cubic unit
Weight/Mass
Completes simple conversions of customary units of weight
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
RIT 231-240
Operations and Algebraic Thinking
...
Angle Measurement
Knows the definition of an angle
Measures non-right angles using a protractor
Area
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Determines the area of figures composed of rectangles
Determines the area of rectangles given the perimeter
Determines the perimeter of rectangles given the area
Identifies a unit square
Represents the area of figures composed of rectangles using expressions or equations
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Analyzes linear trends in scatter plots to make predictions
Approximates the line of best fit on a scatter plot
Constructs scatter plots of bivariate data
Constructs two-way frequency tables
Describes and interprets data in a scatter plot
Describes and interprets outliers and clusters in a scatter plot
Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships
Determines relative frequencies in a two-way frequency table
Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Interprets the meaning of the slope or y-intercept of a line of best fit or regression line
Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship
Uses a given equation of a line of best fit to make predictions
Capacity
Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Conversion of Units
Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units
Completes conversions of metric units of length
Completes simple conversions of customary units of weight
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi-step weight word problems involving whole numbers and conversion of customary units
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Data Analysis
Adds and subtracts to answer questions about pictographs with multi-unit scales
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Compares the distributions of multiple data sets presented in line or dot plots, or histograms
Compares the means and medians of related data sets from random samples represented in histograms
Compares the median and variability of related data sets from random samples presented in box plots
Compares two data sets based on measures of center or variability to answer a question
Determines a valid conclusion based on a comparison of multiple data sets with similar variabilities using measures of center and variability
Identifies the median, quartiles, extreme values, and outliers from a box plot
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Solves word problems using data from line or dot plots with fractional scales
Data Representation
Constructs scatter plots of bivariate data
Constructs two-way frequency tables
Represents data in histograms
Fractions: Represent and Solve Word Problems
Solves word problems using data from line or dot plots with fractional scales
Length
Completes conversions of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Compares the means and medians of related data sets from random samples represented in histograms
Compares the median and variability of related data sets from random samples presented in box plots
Determines a missing value in a data set when the mean is known
Determines a valid conclusion based on a comparison of multiple data sets with similar variabilities using measures of center and variability
Determines how the measures of center are affected with the addition or deletion of a data value, including outliers
Determines the mean of a data set
Determines the median of a data set that is not ordered
Determines the range of a data set
Explains why the mean and median differ in a single data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Interprets the median in the context of a data set
Perimeter/Circumference
Determines side lengths given the perimeter of rectangles
Determines the area of rectangles given the perimeter
Determines the perimeter of basic polygons in which not all sides are labeled
Determines the perimeter of complex figures in which not all sides are labeled
Determines the perimeter of rectangles given the area
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Points, Lines, Segments, Rays, and Angles
Knows the definition of an angle
Problem Solving with Units
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi-step weight word problems involving whole numbers and conversion of customary units
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Solves one-step time word problems involving multiplication or division
Solves one‑step capacity word problems involving whole-number addition or subtraction
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Properties and Relationships of Operations
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Time
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Volume
Determines possible dimensions for rectangular prisms given one dimension and the volume in unit cubes
Determines the length, width, or height given the volume of a rectangular prism and two of the dimensions
Determines the missing dimension of a rectangular prism composed of unit cubes given the volume and other dimensions
Determines the volume of a rectangular prism given a net shown on a grid
Determines the volume of figures composed of rectangular prisms
Determines the volume of rectangular prisms, formula not provided
Identifies rectangular prisms composed of unit cubes that have the same volume as a given rectangular prism
Recognizes situations which describe volume
Represents the volume of rectangular prisms composed of unit cubes, using repeated addition expressions or equations
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Understands how volume is measured
Understands that a unit cube has sides of 1 unit in length and a volume of 1 cubic unit
Weight/Mass
Completes simple conversions of customary units of weight
Solves multi-step weight word problems involving whole numbers and conversion of customary units
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
RIT 241-250
Operations and Algebraic Thinking
...
Angle Measurement
Knows the definition of an angle
Area
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Determines the area of figures composed of rectangles
Determines the area of rectangles given the perimeter
Determines the perimeter of rectangles given the area
Solves area word problems involving whole numbers and tiling rectangles with non-unit squares
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Analyzes linear trends in scatter plots to make predictions
Approximates the line of best fit on a scatter plot
Compares two sets of bivariate data to draw conclusions
Describes and interprets outliers and clusters in a scatter plot
Describes the correlation or association between two variables, including the direction and strength of linear and nonlinear relationships
Determines relative frequencies in a two-way frequency table
Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Determines whether two quantitative variables have a positive or negative nonlinear association
Estimates the slope of a line of best fit
Interprets the meaning of the slope or y-intercept of a line of best fit or regression line
Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship
Uses a given equation of a line of best fit to make predictions
Uses a given exponential equation fitted to data to make predictions
Capacity
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Conversion of Units
Completes conversions of metric units of length
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step mass word problems involving whole numbers and conversion of metric units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Data Analysis
Adds and subtracts to answer questions about pictographs with multi-unit scales
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Compares the distributions of multiple data sets presented in line or dot plots, or histograms
Compares the means and medians of related data sets from random samples represented in histograms
Compares the medians of related data sets from random samples represented numerically and in a line or dot plot
Compares two data sets based on measures of center or variability to answer a question
Determines a valid conclusion based on a comparison of multiple data sets with similar variabilities using measures of center and variability
Identifies the median, quartiles, extreme values, and outliers from a box plot
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Solves word problems using data from line or dot plots with fractional scales
Data Representation
Represents data in box plots
Represents data in histograms
Fractions: Represent and Solve Word Problems
Solves word problems using data from line or dot plots with fractional scales
Length
Completes conversions of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Compares the means and medians of related data sets from random samples represented in histograms
Compares the medians of related data sets from random samples represented numerically and in a line or dot plot
Determines a missing value in a data set when the mean is known
Determines a valid conclusion based on a comparison of multiple data sets with similar variabilities using measures of center and variability
Determines how the measures of center are affected with the addition or deletion of a data value, including outliers
Determines the mean of a data set
Determines the median of a data set that is not ordered
Determines the range of a data set
Explains why the mean and median differ in a single data set
Identifies the median, quartiles, extreme values, and outliers from a box plot
Interprets the median in the context of a data set
Perimeter/Circumference
Determines the area of rectangles given the perimeter
Determines the perimeter of rectangles given the area
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving perimeters of non-rectangular polygons within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Points, Lines, Segments, Rays, and Angles
Knows the definition of an angle
Populations/Random Processes
Identifies a statistical question
Problem Solving with Units
Solves area word problems involving whole numbers and tiling rectangles with non-unit squares
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi-step mass word problems involving whole numbers and conversion of metric units
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Solves problems involving areas of rectangles within a real-world or mathematical context
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving perimeters of non-rectangular polygons within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Properties and Relationships of Operations
Applies the distributive property of multiplication to find the area of rectangles with whole-number sides
Time
Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.
Volume
Determines possible dimensions for rectangular prisms given one dimension and the volume in unit cubes
Determines the length, width, or height given the volume of a rectangular prism and two of the dimensions
Determines the missing dimension of a rectangular prism composed of unit cubes given the volume and other dimensions
Determines the volume of a rectangular prism given a net shown on a grid
Determines the volume of figures composed of rectangular prisms
Determines the volume of rectangular prisms, formula not provided
Recognizes situations which describe volume
Represents the volume of rectangular prisms composed of unit cubes, using repeated addition expressions or equations
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Understands that a unit cube has sides of 1 unit in length and a volume of 1 cubic unit
Weight/Mass
Solves multi-step mass word problems involving whole numbers and conversion of metric units
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
RIT 251-260
Operations and Algebraic Thinking
...
Area
Determines the perimeter of rectangles given the area
Solves area word problems involving whole numbers and tiling rectangles with non-unit squares
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Analyzes linear trends in scatter plots to make predictions
Approximates the line of best fit on a scatter plot
Describes and interprets outliers and clusters in a scatter plot
Determines relative frequencies in a two-way frequency table
Determines whether two quantitative variables have a positive linear, negative linear, or zero association
Estimates the slope of a line of best fit
Interprets the meaning of the slope or y-intercept of a line of best fit or regression line
Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship
Uses a given quadratic equation fitted to data to make predictions
Capacity
Completes conversions of metric units of capacity
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Conversion of Units
Completes conversions of metric units of capacity
Completes conversions of metric units of length
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Data Analysis
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Compares the distributions of multiple data sets presented in line or dot plots, or histograms
Compares two data sets based on measures of center or variability to answer a question
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Solves word problems using data from line or dot plots with fractional scales
Data Representation
Represents data in box plots
Represents data in histograms
Fractions: Represent and Solve Word Problems
Solves word problems using data from line or dot plots with fractional scales
Length
Completes conversions of metric units of length
Solves multi-step length word problems involving whole numbers and conversion of customary units
Measures of Center and Spread (Variability)
Compares the measures of center of two data sets after the addition or deletion of data values, including outliers
Determines a missing value in a data set when the mean is known
Determines how the measures of center are affected with the addition or deletion of a data value, including outliers
Determines the mean of a data set
Determines the range of a data set
Interprets the median in the context of a data set
Perimeter/Circumference
Determines the perimeter of rectangles given the area
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Populations/Random Processes
Identifies a statistical question
Problem Solving with Units
Solves area word problems involving whole numbers and tiling rectangles with non-unit squares
Solves multi-step capacity word problems involving whole numbers and conversion of customary units
Solves multi-step length word problems involving whole numbers
Solves multi-step length word problems involving whole numbers and conversion of customary units
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving perimeters of rectangles within a real-world or mathematical context
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Volume
Determines the missing dimension of a rectangular prism composed of unit cubes given the volume and other dimensions
Determines the volume of figures composed of rectangular prisms
Recognizes situations which describe volume
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Weight/Mass
Solves multi‑step weight word problems involving decimals or fractions and conversion of customary units
RIT 261-270
Operations and Algebraic Thinking
...
Area
Solves area word problems involving whole numbers and tiling rectangles with non-unit squares
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Analyzes linear trends in scatter plots to make predictions
Approximates the equation of the line of best fit
Describes and interprets outliers and clusters in a scatter plot
Determines relative frequencies in a two-way frequency table
Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a real-world context
Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a scatter plot
Interprets the meaning of the slope or y-intercept of a line of best fit or regression line
Understands the relationship between the value of the correlation coefficient and the strength and direction of a linear relationship
Data Analysis
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Compares the distributions of multiple data sets presented in line or dot plots, or histograms
Compares two data sets based on measures of center or variability to answer a question
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Recognizes data distributions that could be fit to a normal distribution curve
Solves word problems using data from line or dot plots with fractional scales
Data Representation
Represents data in box plots
Fractions: Represent and Solve Word Problems
Solves word problems using data from line or dot plots with fractional scales
Measures of Center and Spread (Variability)
Compares the measures of center of two data sets after the addition or deletion of data values, including outliers
Determines a missing value in a data set when the mean is known
Determines the mean of a data set
Determines the range of a data set
Interprets the median in the context of a data set
Perimeter/Circumference
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Populations/Random Processes
Identifies a statistical question
Problem Solving with Units
Solves area word problems involving whole numbers and tiling rectangles with non-unit squares
Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Volume
Recognizes situations which describe volume
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
RIT 271-280
Operations and Algebraic Thinking
...
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Determines relative frequencies in a two-way frequency table
Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a real-world context
Identifies the correlation coefficient that best approximates the relationship between two quantitative variables represented in a scatter plot
Data Analysis
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Compares two data sets based on measures of center or variability to answer a question
Interprets the measures of center or variability given data presented in box plots
Reads and interprets data from a box plot
Reads and interprets data from a histogram
Recognizes data distributions that could be fit to a normal distribution curve
Measures of Center and Spread (Variability)
Compares the measures of center of two data sets after the addition or deletion of data values, including outliers
Compares the variability of related data sets from random samples using the mean absolute deviation
Determines a missing value in a data set when the mean is known
Determines the range of a data set
Interprets the measures of center or variability given data presented in box plots
Interprets the median in the context of a data set
Populations/Random Processes
Identifies a statistical question
Problem Solving with Units
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Volume
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
RIT 281-290
Operations and Algebraic Thinking
...
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Data Analysis
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Reads and interprets data from a box plot
Recognizes data distributions that could be fit to a normal distribution curve
Measures of Center and Spread (Variability)
Interprets the median in the context of a data set
Populations/Random Processes
Identifies a statistical question
Problem Solving with Units
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
Volume
Solves problems involving volumes of rectangular prisms within a real-world or mathematical context
RIT 291-300
Operations and Algebraic Thinking
...
Bivariate Data
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Data Analysis
Analyzes data in a two‑way frequency table to determine whether there is a positive, a negative, or no association between two categorical variables
Recognizes data distributions that could be fit to a normal distribution curve
RIT 301-310
Operations and Algebraic Thinking
...
Relationships involving Lines, Angles, and Polygons
Applies the Triangle Inequality Theorem
Spatial Concepts and Symmetry
Identifies the cross-sections of 3-D shapes
Volume
Uses geometric modeling as a method to solve real-world problems with given physical or cost requirements
RIT 311-320
Geometry
Geometric Measurement and Relationships
...