Contenido principal
Math
- Numerical Reasoning – Counting, Numbers, Equality, Place Value, Addition, Subtraction
- Patterning & Algebraic Reasoning – Repeating Patterns, Growing, Patterns, and Shrinking Patterns
- Geometric & Spatial Reasoning – Shapes, Attributes, Partitions Of Circles and Rectangles
- Numerical Reasoning – Base Ten Structure, Addition and Subtraction Within 100
- Numerical Reasoning – Base Ten Structure, Addition and Subtraction Within 101
- Numerical Reasoning – Base Ten Structure, Addition and Subtraction Within 102
- Measurement & Data Reasoning – Length, Time, Money
- Numerical Reasoning – Counting Within 1000, Place Value, Addition and Subtraction, Fluency To 20, Developing Multiplication Through Arrays
- Patterning & Algebraic Reasoning – Patterns Up To 20 and Addition and Subtraction Within 1,000
- Patterning & Algebraic Reasoning – Patterns Up To 20 and Addition and Subtraction Within 1,001
- Measurement & Data Reasoning – Length, Distance, Time, and Money
- Geometric & Spatial Reasoning – Sorting Shapes, Lines Of Symmetry, Partitioning Circles and Rectangles
- Numerical Reasoning – Base Ten Numerals and Place Value Up To 10,000, and Rounding Up To 1,000
- Patterning & Algebraic Reasoning – Fluency, Addition and Subtraction Within 10,000, Multiplication and Division Within 100, Equality, Properties Of Operations
- Numerical Reasoning – Unit Fractions, Equivalent Fractions, Fractions Greater Than 1
- Measurement & Data Reasoning – Elapsed Time, Liquid Volume, Mass, Lengths In Half and Fourth Of An Inch, Data
- Geometric & Spatial Reasoning – Polygons, Parallel Line Segments, Perpendicular Line Segments, Right Angles, Lines Of Symmetry, Area, Perimeter
- Numerical Reasoning – Place Value, Rounding, Comparisons With Multi-Digit Numbers, Addition and Subtraction, Multiplicative Comparisons, Multiplication, and Division Involving Whole Numbers
- Patterning & Algebraic Reasoning – Patterns, Input-Output Tables, Factors, Multiples, Composite Numbers, Prime Numbers
- Numerical Reasoning – Fraction Equivalence, Comparison Of Fractions, and Addition and Subtraction Of Fractions With Like Denominators
- Measurement & Data Reasoning – Time, Metric Measurements, Distance, Elapsed Time, Liquid Volume, Mass, and Length
- Geometric & Spatial Reasoning – Polygons, Points, Lines, Line Segments, Rays, Angles, Perpendicular Lines, Area, Perimeter
- Numerical Reasoning – Place Value, Multiplying By Powers Of 10, Multiplication and Division Of Multi-Digit Numbers, Fractions, Decimal Numbers, Numerical Expressions
- Patterning & Algebraic Reasoning – Generating Patterns, Plotting Ordered Pairs In The First Quadrant
- Measurement & Data Reasoning – Measurements Within The Metric System, Measurement Conversions and Time As A Unit Of Measurement
- Geometric & Spatial Reasoning – Properties Of Polygons and Rectangular Prisms, Classify Polygons
- Numerical Reasoning – Multiplication and Division Of Whole Numbers and Fractions, and All Four Operations With Decimal Numbers
- Geometric & Spatial Reasoning – Area Of Polygons, Volume Of Right Rectangular Prisms, Surface Area Of 3-D Figures
- Patterning & Algebraic Reasoning – Numerical and Algebraic Expressions, Factors, Multiples, Algebraic Expressions, Plotting Points In All Four Quadrants, Rational Numbers On A Number Line, Polygons In The Coordinate Plane
- Numerical Reasoning – Integers, Percentages, Fractions, Decimal Numbers
- Patterning & Algebraic Reasoning – Linear Expressions With Rational Coefficients, Complex Unit Rates, Proportional Relationships
- Geometric & Spatial Reasoning – Vertical, Adjacent, Complementary, and Supplementary Angles, Circumference and Area Of Circles, Area and Surface Area, Volume Of Cubes, Right Prisms, and Cylinders
- Probability Reasoning – Likelihood, Theoretical and Experimental Probability
- Numerical Reasoning – Rational and Irrational Numbers, Decimal Expansion, Integer Exponents, Square and Cube Roots, Scientific Notation
- Patterning & Algebraic Reasoning – Expressions, Linear Equations, and Inequalities
- Functional & Graphical Reasoning – Relate Domain To Linear Functions, Rate Of Change, Linear Vs. Nonlinear Relationships, Graphing Linear Functions, Systems Of Linear Equations, Parallel and Perpendicular Lines
- Geometric & Spatial Reasoning – Pythagorean Theorem and Volume Of Triangles, Rectangles, Cones, Cylinders, and Spheres
- Mathematical Modeling
- Functional & Graphical Reasoning – Function Notation, Modeling Linear Functions, Linear Vs. Nonlinear Comparisons
- Geometric & Spatial Reasoning – Distance, Midpoint, Slope, Area, and Perimeter
- Patterning & Algebraic Reasoning – Linear Inequalities and Systems Of Linear Inequalities
- Numerical Reasoning - Rational and Irrational Numbers, Square Roots and Cube Roots
- Patterning & Algebraic Reasoning – Quadratic Expressions & Equations
- Functional & Graphical Reasoning – Quadratic Functions
- Patterning & Algebraic Reasoning – Exponential Expressions and Equations
- Functional & Graphical Reasoning – Exponential Functions
- Data & Statistical Reasoning – Univariate Data and Single Quantitative Variables; Bivariate Data
- Mathematical Modeling
- Data & Statistical Reasoning – Descriptive and Inferential Statistics
- Functional & Graphical Reasoning – Exponential and Logarithmic Functions
- Functional & Graphical Reasoning – Radical Functions
- Functional & Graphical Reasoning – Polynomial Functions
- Patterning & Algebraic Reasoning – Linear Algebra and Matrices
- Geometric & Spatial Reasoning – Trigonometry and The Unit Circle
- Functional & Graphical Reasoning – Rational Functions
- Mathematical Modeling
- Numerical (Quantitative) Reasoning – Fractions, Decimals, Percents, and Ratios
- Functional & Graphical Reasoning – Linear, Exponential, Quadratic, Cubic, Rational, Square Root, Greatest Integer, and Piecewise Functions
- Patterning & Algebraic Reasoning – Formulas
- Patterning & Algebraic Reasoning – Systems Of Equations and Inequalities
- Geometric & Spatial Reasoning – Polygons, Circles, and Trigonometry
- Data & Statistical Reasoning – Data Displays
- Data & Statistical Reasoning – Investigative Research
- Mathematical Modeling
- Abstract & Digital Reasoning – Programming
- Geometric & Spatial Reasoning – Vectors
- Patterning & Algebraic Reasoning – Matrices
- Geometric & Spatial Reasoning – Matrices
- Probabilistic Reasoning – Markov Chains
- Patterning & Algebraic Reasoning – Vector Spaces
- Patterning & Algebraic Reasoning – Eigenvalues and Eigenvectors
- Mathematical Modeling
- Patterning & Algebraic Reasoning – Polynomial Expressions
- Geometric & Spatial Reasoning – Congruence
- Geometric & Spatial Reasoning – Geometric Foundations, Constructions, and Proof
- Geometric & Spatial Reasoning – Similarity
- Geometric & Spatial Reasoning – Right Triangle Trigonometry
- Geometric & Spatial Reasoning – Trigonometry and The Unit Circle
- Geometric & Spatial Reasoning – Circles
- Geometric & Spatial Reasoning – Equations and Measurement
- Probabilistic Reasoning – Compound Events and Expected Values
- Data & Statistical Reasoning; Probablistic Reasoning – Categorical Data In Two-Way Frequency Tables; Conditional Probability
- Mathematical Modeling
- Logical Reasoning – Methods Of Proof
- Logical Reasoning – Logical Symbolism and Binary
- Numerical Reasoning – Number Theory
- Abstract & Quantitative Reasoning – Set Theory
- Abstract & Quantitative Reasoning – Probabilities and Combinatorics
- Abstract & Quantitative Reasoning – Graph Theory
- Mathematical Modeling
- Quantitative & Proportional Reasoning – Ratios, Rates, & Percents
- Quantitative & Proportional Reasoning – Averages & Indices
- Patterning & Algebraic Reasoning – Identification Numbers, Voting, & Algorithms
- Probabilistic Reasoning – Conditional Probabilities & Compound Events
- Probabilistic Reasoning – Mathematical Assumptions & Expected Value
- Data & Statistical Reasoning – Investigative Research
- Patterning & Algebraic Reasoning – Financial Models
- Functional & Graphical Reasoning – Modeling With Functions
- Geometric & Spatial Reasoning – Deterministic Models
- Patterning & Algebraic Reasoning – Vectors & Matrices
- Patterning & Algebraic Reasoning – Networks
- Mathematical Modeling
- Functional & Graphical Reasoning – Functions and Their Characteristics
- Functional & Graphical Reasoning – Trigonometric Relationships and Functions
- Algebraic & Geometric Reasoning – Trigonometric Identities and Equations
- Geometric & Spatial Reasoning – Conic Sections and Polar Equations
- Algebraic & Graphical Reasoning – Vectors and Parametric Equations
- Patterning & Algebraic Reasoning – Sequences and Series
- Mathematical Modeling
- Numerical & Quantitative Reasoning – Real Number System
- Patterning & Algebraic Reasoning – Expressions, Equations, & Inequalities
- Functional & Graphical Reasoning – Building & Interpreting Functions
- Geometric & Spatial Reasoning – Measurement, Surface Area, Volume, & Right Triangle Trigonometry
- Data & Statistical Reasoning – Interpreting Data & Calculating Probabilities Of Compound Events
- Mathematical Modeling
- Abstract Reasoning & Deterministic Decision-Making – Linear Programming
- Abstract Reasoning & Deterministic Decision-Making – Optimal Locations
- Abstract Reasoning & Deterministic Decision-Making – Optimal Paths
- Abstract Reasoning & Probabilistic Decision-Making – Normal Distributions
- Abstract Reasoning & Probabilistic Decision-Making – Binomial, Geometric, and Poisson Distributions
- Probabilistic Reasoning – Probabilistic Models
- Abstract Reasoning & Probabilistic Decision-Making – Simulations
- Abstract Reasoning & Probabilistic Decision-Making – Fair Representation
- Mathematical Modeling
- Numerical Reasoning – Origins Of Mathematics
- Logical, Mathematical & Investigative Reasoning – Ancient Greek Mathematics
- Logical, Mathematical & Investigative Reasoning – Mathematics In The Middles Ages
- Logical, Mathematical & Investigative Reasoning – Mathematics Of The Classical Era
- Logical, Mathematical & Investigative Reasoning – Modern Mathematics
- Logical, Mathematical & Investigative Reasoning – 20Th Century Mathematics
Georgia Math
Grade 6: Numerical Reasoning – Multiplication and Division Of Whole Numbers and Fractions, and All Four Operations With Decimal Numbers
6.NR.1.1
Not covered
(Content unavailable)
6.NR.1.2
Partially covered
- Area with fraction division example
- Divide mixed numbers
- Divide whole numbers by fractions
- Dividing a fraction by a whole number
- Dividing a whole number by a fraction
- Dividing fractions
- Dividing fractions review
- Dividing fractions word problems
- Dividing fractions: 2/5 ÷ 7/3
- Dividing fractions: 3/5 ÷ 1/2
- Dividing mixed numbers
- Dividing mixed numbers
- Dividing whole numbers & fractions: t-shirts
- Interpret fraction division
- Meaning of the reciprocal
- The 0 & 1st power
- Understanding division of fractions
6.NR.1.3
Mostly covered
- Adding & subtracting decimals word problem
- Adding & subtracting decimals word problems
- Adding decimals word problem
- Adding decimals: 0.822+5.65
- Adding decimals: 9.087+15.31
- Adding decimals: thousandths
- Adding three decimals
- Decimal multiplication place value
- Decimal multiplication place value
- Dividing a decimal by a whole number
- Dividing a whole number by a decimal
- Dividing by a multi-digit decimal
- Dividing decimals completely
- Dividing decimals with hundredths
- Dividing decimals: hundredths
- Dividing decimals: thousandths
- Dividing whole numbers like 56÷35 to get a decimal
- Dividing whole numbers to get a decimal
- Intro to multiplying decimals
- Long division with decimals
- Multiplying challenging decimals
- Multiplying decimals like 0.847x3.54 (standard algorithm)
- Plotting inequalities
- Subtracting decimals: 39.1 - 0.794
- Subtracting decimals: 9.005 - 3.6
- Subtracting decimals: thousandths
- The 0 & 1st power
6.NR.2.1
Fully covered
- Calculating the mean
- Calculating the mean
- Calculating the mean: data displays
- Calculating the median
- Calculating the median: data displays
- Comparing dot plots, histograms, and box plots
- Effects of shifting, adding, & removing a data point
- Impact on median & mean: increasing an outlier
- Impact on median & mean: removing an outlier
- Interquartile range (IQR)
- Interquartile range (IQR)
- Mean absolute deviation (MAD)
- Mean absolute deviation (MAD)
- Mean absolute deviation example
- Mean, median, & mode example
- Median & range puzzlers
- Missing value given the mean
- Missing value given the mean
- Reading box plots
- Reading box plots
- Reading dot plots & frequency tables
- Statistics intro: Mean, median, & mode
6.NR.2.2
Mostly covered
- Calculating the mean: data displays
- Calculating the median: data displays
- Comparing data displays
- Comparing dot plots, histograms, and box plots
- Constructing a box plot
- Create histograms
- Creating a histogram
- Creating box plots
- Creating dot plots
- Creating frequency tables
- Frequency tables & dot plots
- Interpreting a histogram
- Read histograms
- Reading box plots
- Reading box plots
- Reading dot plots & frequency tables
- Representing data
- Statistics intro: Mean, median, & mode
- Worked example: Creating a box plot (even number of data points)
- Worked example: Creating a box plot (odd number of data points)
6.NR.2.3
Mostly covered
6.NR.2.4
Mostly covered
- Calculating the mean
- Calculating the mean
- Calculating the mean: data displays
- Calculating the median
- Calculating the median: data displays
- Comparing data displays
- Comparing dot plots, histograms, and box plots
- Effects of shifting, adding, & removing a data point
- Estimate center using dot plots
- Impact on median & mean: increasing an outlier
- Impact on median & mean: removing an outlier
- Interquartile range (IQR)
- Interquartile range (IQR)
- Mean absolute deviation (MAD)
- Mean absolute deviation (MAD)
- Mean absolute deviation example
- Mean, median, & mode example
- Median & range puzzlers
- Missing value given the mean
- Missing value given the mean
- Read histograms
- Reading box plots
- Reading box plots
- Reading dot plots & frequency tables
- Statistics intro: Mean, median, & mode
6.NR.2.5
Mostly covered
- Calculating the mean
- Calculating the mean: data displays
- Calculating the median
- Calculating the median: data displays
- Comparing dot plots, histograms, and box plots
- Effects of shifting, adding, & removing a data point
- Impact on median & mean: increasing an outlier
- Impact on median & mean: removing an outlier
- Interpreting a histogram
- Interquartile range (IQR)
- Interquartile range (IQR)
- Mean absolute deviation (MAD)
- Mean absolute deviation (MAD)
- Mean absolute deviation example
- Mean, median, & mode example
- Median & range puzzlers
- Missing value given the mean
- Missing value given the mean
- Reading box plots
- Reading box plots
6.NR.2.6
Mostly covered
- Calculating the mean
- Calculating the mean
- Calculating the mean: data displays
- Calculating the median
- Calculating the median: data displays
- Comparing data displays
- Comparing dot plots, histograms, and box plots
- Constructing a box plot
- Create histograms
- Creating a histogram
- Creating box plots
- Creating dot plots
- Creating frequency tables
- Effects of shifting, adding, & removing a data point
- Estimate center using dot plots
- Frequency tables & dot plots
- Impact on median & mean: increasing an outlier
- Impact on median & mean: removing an outlier
- Interpreting a histogram
- Interquartile range (IQR)
- Interquartile range (IQR)
- Mean absolute deviation (MAD)
- Mean absolute deviation (MAD)
- Mean absolute deviation example
- Mean, median, & mode example
- Median & range puzzlers
- Missing value given the mean
- Missing value given the mean
- Read histograms
- Reading box plots
- Reading box plots
- Reading dot plots & frequency tables
- Representing data
- Statistics intro: Mean, median, & mode
- Worked example: Creating a box plot (even number of data points)
- Worked example: Creating a box plot (odd number of data points)
6.NR.3.1
Partially covered
6.NR.3.2
Fully covered
- Compare rational numbers
- Compare rational numbers using a number line
- Compare rational numbers using a number line
- Coordinate plane problems in all four quadrants
- Coordinate plane word problem examples
- Decimals & fractions on the number line
- Finding the point not graphed
- Graphing coordinates review
- Intro to negative numbers
- Negative decimals on the number line
- Negative decimals on the number line
- Negative fractions on the number line
- Negative numbers on the number line
- Negative symbol as opposite
- Negative symbol as opposite
- Number opposites
- Number opposites
- Number opposites
- Number opposites review
- Ordering negative numbers
- Ordering negative numbers
- Ordering rational numbers
- Ordering rational numbers
- Ordering small negative numbers
- Plotting a point (ordered pair)
- Points on the coordinate plane
- Points on the coordinate plane
- Points on the coordinate plane examples
- Testing solutions to absolute value inequalities
6.NR.3.3
Fully covered
- Compare rational numbers
- Compare rational numbers using a number line
- Compare rational numbers using a number line
- Coordinate plane problems in all four quadrants
- Coordinate plane word problem examples
- Decimals & fractions on the number line
- Finding the point not graphed
- Graphing coordinates review
- Intro to negative numbers
- Negative decimals on the number line
- Negative decimals on the number line
- Negative fractions on the number line
- Negative numbers on the number line
- Negative symbol as opposite
- Negative symbol as opposite
- Number opposites
- Number opposites
- Number opposites
- Number opposites review
- Ordering negative numbers
- Ordering negative numbers
- Ordering rational numbers
- Ordering rational numbers
- Ordering small negative numbers
- Plotting a point (ordered pair)
- Points on the coordinate plane
- Points on the coordinate plane
- Points on the coordinate plane examples
- Testing solutions to absolute value inequalities
6.NR.3.4
Partially covered
6.NR.3.5
Fully covered
- Absolute value examples
- Absolute value review
- Compare and order absolute values
- Comparing absolute values
- Comparing absolute values challenge
- Comparing absolute values on the number line
- Finding absolute values
- Interpreting absolute value
- Interpreting absolute value
- Intro to absolute value
- Meaning of absolute value
- Meaning of absolute value
- Placing absolute values on the number line
6.NR.3.6
Fully covered
- Absolute value examples
- Absolute value review
- Compare and order absolute values
- Comparing absolute values
- Comparing absolute values challenge
- Comparing absolute values on the number line
- Finding absolute values
- Interpreting absolute value
- Interpreting absolute value
- Intro to absolute value
- Meaning of absolute value
- Meaning of absolute value
- Placing absolute values on the number line
6.NR.4.1
Fully covered
- Basic ratios
- Basic ratios
- Equivalent ratios
- Equivalent ratios
- Equivalent ratios in the real world
- Equivalent ratios with equal groups
- Equivalent ratios: recipe
- Intro to ratios
- Part-part-whole ratios
- Part:whole ratios
- Ratio review
- Ratios and double number lines
- Ratios with tape diagrams
- Ratios with tape diagrams
- Ratios with tape diagrams (part:whole)
- Understanding equivalent ratios
6.NR.4.2
Mostly covered
- Basic ratios
- Basic ratios
- Equivalent ratios
- Equivalent ratios
- Equivalent ratios in the real world
- Equivalent ratios with equal groups
- Equivalent ratios: recipe
- Intro to ratios
- Part-part-whole ratios
- Part:whole ratios
- Ratio review
- Ratios and double number lines
- Ratios with tape diagrams
- Ratios with tape diagrams
- Ratios with tape diagrams (part:whole)
- Understanding equivalent ratios
6.NR.4.3
Fully covered
- Comparing rates example
- Equivalent ratio word problems
- Equivalent ratios
- Equivalent ratios
- Equivalent ratios: recipe
- Part-part-whole ratios
- Ratio tables
- Ratio tables
- Ratios and double number lines
- Ratios on coordinate plane
- Ratios on coordinate plane
- Ratios with tape diagrams
- Ratios with tape diagrams
- Solving ratio problems with tables
6.NR.4.4
Fully covered
- Comparing rates
- Comparing rates example
- Equivalent ratio word problems
- Intro to rates
- Part to whole ratio word problem using tables
- Proportion word problem: cookies
- Proportion word problem: hot dogs
- Proportion word problems
- Rate problems
- Rate problems
- Rate review
- Solving unit price problem
- Solving unit rate problem
- Understanding equivalent ratios
- Unit rates
6.NR.4.5
Fully covered
- Comparing rates
- Comparing rates example
- Equivalent ratio word problems
- Intro to rates
- Part to whole ratio word problem using tables
- Proportion word problem: cookies
- Proportion word problem: hot dogs
- Proportion word problems
- Rate problems
- Rate problems
- Rate review
- Solving unit price problem
- Solving unit rate problem
- Understanding equivalent ratios
- Unit rates
6.NR.4.6
Fully covered
- Benchmark percents
- Converting between percents, fractions, & decimals
- Converting decimals and percents review
- Converting percents and fractions review
- Converting percents to decimals & fractions example
- Find percents visually
- Finding a percent
- Finding common percentages
- Finding percentages with a double number line
- Finding percents
- Finding the whole with a tape diagram
- Fraction, decimal, and percent from visual model
- Intro to percents
- Meaning of 109%
- Percent of a whole number
- Percent word problem: recycling cans
- Percent word problems
- Percents from fraction models
- Percents from fraction models
- Solving percent problems
- The meaning of percent
- Ways to rewrite a percentage
6.NR.4.7
Fully covered