Основно съдържание
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 4: Numerical Reasoning – Place Value, Rounding, Comparisons With Multi-Digit Numbers, Addition and Subtraction, Multiplicative Comparisons, Multiplication, and Division Involving Whole Numbers
4.NR.1.1
Partially covered
- Adding whole numbers by their place values
- Compare multi-digit numbers written in different forms
- Comparing multi-digit numbers
- Comparing whole number place values
- Creating the largest number
- Finding place value
- Identify value of a digit
- Multiply 3- and 4-digits by 1-digit with area models
- Place value blocks
- Place value blocks
- Place value tables
- Place value tables
- Regroup whole numbers
- Regrouping numbers into various place values
- Regrouping whole number place values
- Whole numbers in expanded form review
- Whole numbers in written form review
- Write numbers in written form
- Write whole numbers in different forms
- Write whole numbers in expanded form
- Writing a number in expanded form
- Writing numbers in words and standard form
4.NR.1.2
Fully covered
- Creating largest or smallest number
- Divide whole numbers by 10
- Dividing whole numbers by 10
- Multiply and divide by 10
- Multiply whole numbers by 10
- Multiplying whole numbers by 10
- Place value blocks
- Place value when multiplying and dividing by 10
- Place value when multiplying and dividing by 10
- Round whole numbers
- Understanding place value
4.NR.1.3
Fully covered
4.NR.1.4
Fully covered
4.NR.2.1
Fully covered
- 2-step estimation word problem
- 2-step estimation word problems
- Adding 3-digit numbers
- Adding multi-digit numbers: 48,029+233,930
- Adding whole numbers by their place values
- Multi-digit addition
- Multi-digit subtraction
- Multi-digit subtraction: 389,002-76,151
- Multi-step word problems with whole numbers
- Relate place value to standard algorithm for multi-digit addition
- Relate place value to standard algorithm for multi-digit subtraction
- Represent multi-step word problems using equations
- Subtracting 3-digit numbers (regrouping)
- Using place value to add 3-digit numbers: part 1
- Using place value to add 3-digit numbers: part 2
- Worked example: Subtracting 3-digit numbers (regrouping from 0)
- Worked example: Subtracting 3-digit numbers (regrouping twice)
- Worked example: Subtracting 3-digit numbers (regrouping)
4.NR.2.2
Not covered
(Content unavailable)
4.NR.2.3
Fully covered
- Compare with multiplication
- Compare with multiplication word problems
- Comparing with multiplication
- Estimate products (1-digit times 2, 3, and 4-digit)
- Estimate products (2-digit numbers)
- Estimating 2-digit multiplication
- Estimating with multiplication
- Multi-step word problems with whole numbers
- Multiplication and division word problems
- Multiply 1-digit numbers by 10, 100, and 1000
- Multiply 1-digit numbers by a multiple of 10, 100, and 1000
- Multiply 2-digit numbers
- Multiply 2-digit numbers with area models
- Multiply 2-digits by 1-digit with area models
- Multiply 2-digits by 1-digit with distributive property
- Multiply 3- and 4-digits by 1-digit with area models
- Multiply 3- and 4-digits by 1-digit with distributive property
- Multiply and divide by 10
- Multiply using partial products
- Multiply whole numbers by 10
- Multiply with partial products (2-digit numbers)
- Multiply with regrouping
- Multiply without regrouping
- Multiplying 1-digit numbers by 10, 100, and 1000
- Multiplying 1-digit numbers by multiples of 10, 100, and 1000
- Multiplying 10s
- Multiplying 10s
- Multiplying 2-digit numbers
- Multiplying 2-digits by 1-digit with partial products
- Multiplying 3-digit by 1-digit
- Multiplying 3-digit by 1-digit (regrouping)
- Multiplying two 2-digit numbers using partial products
- Multiplying whole numbers by 10
- Multiplying with area model: 16 x 27
- Multiplying with area model: 6 x 7981
- Multiplying with area model: 78 x 65
- Place value when multiplying and dividing by 10
- Understand multiplying by a multiple of 10, 100, and 1000
- Using area model and properties to multiply
4.NR.2.4
Fully covered
- Create division equations with area models
- Divide by 1-digit numbers with area models
- Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Divide multiples of 10, 100, and 1,000 by 1-digit numbers
- Divide using place value
- Divide with remainders (2-digit by 1-digit)
- Dividing whole numbers by 10
- Division using place value
- Division with area models
- Division with partial quotients (remainder)
- Division word problem: field goals
- Estimate quotients (3- and 4-digit divided by 1-digit)
- Estimate to divide by 1-digit numbers
- Estimating division that results in non-whole numbers
- Estimating quotients
- Interpret remainders
- Interpreting remainders
- Intro to long division (no remainders)
- Introduction to division with partial quotients (no remainder)
- Introduction to remainders
- Long division with remainders: 2292÷4
- Long division with remainders: 3771÷8
- Multi-step word problems with whole numbers
- Multiply and divide by 10
- Quotients that are multiples of 10
- Understanding remainders
4.NR.2.5
Mostly covered
- Compare with multiplication
- Compare with multiplication word problems
- Comparing with multiplication
- Divide by 1-digit numbers with area models
- Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Divide using place value
- Divide whole numbers by 10
- Dividing whole numbers by 10
- Division using place value
- Division with area models
- Multi-step word problems with whole numbers
- Multiplication and division word problems
- Multiply 2-digit numbers
- Multiply 2-digit numbers with area models
- Multiply 2-digits by 1-digit with distributive property
- Multiply 3- and 4-digits by 1-digit with area models
- Multiply and divide by 10
- Multiply whole numbers by 10
- Multiply with regrouping
- Multiply without regrouping
- Multiplying whole numbers by 10
- Place value when multiplying and dividing by 10
- Using area model and properties to multiply