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 5: Numerical Reasoning – Place Value, Multiplying By Powers Of 10, Multiplication and Division Of Multi-Digit Numbers, Fractions, Decimal Numbers, Numerical Expressions
5.NR.1.1
Fully covered
5.NR.1.2
Fully covered
- Dividing decimals by 10, 100, and 1000
- Exponents and powers of 10 patterns
- Fractions as division by power of 10
- Introduction to powers of 10
- Multiply and divide by powers of 10
- Multiply and divide decimals by 10
- Multiply and divide decimals by 10, 100, and 1000
- Multiply and divide whole numbers by 10, 100, and 1000
- Multiplying and dividing by 10, 100, 1000
- Multiplying and dividing by powers of 10
- Multiplying and dividing decimals by 10
- Multiplying and dividing decimals by 10, 100, 1000
- Multiplying decimals by 10, 100, and 1000
- Pattern when dividing by tenths and hundredths
- Powers of 10 review
- Powers of ten
- Using exponents with powers of 10
5.NR.2.1
Fully covered
- Dividing by 2-digits: 7182÷42
- Estimate multi-digit multiplication problems
- Estimating multi-digit multiplication
- Intro to standard way of multiplying multi-digit numbers
- Multi-digit multiplication
- Multiply and divide whole numbers by 10, 100, and 1000
- Multiply by 1-digit numbers with standard algorithm
- Multiply by taking out factors of 10
- Multiplying and dividing by 10, 100, 1000
- Multiplying multi-digit numbers: 6,742x23
- Relate multiplication with area models to the standard algorithm
- Rounding decimals word problems
- Strategies for multiplying multiples of 10, 100 and 1000
- Understanding the standard algorithm for multiplication
5.NR.2.2
Fully covered
- Basic multi-digit division
- Divide by taking out factors of 10
- Divide whole numbers like 63÷12 to get a decimal
- Divide whole numbers with decimal quotients: 78÷12
- Dividing a decimal by a whole number with fraction models
- Dividing by 2-digits: 7182÷42
- Dividing by 2-digits: 9815÷65
- Dividing by a 2-digits: 4781÷32
- Dividing whole numbers to get a decimal
- Division by 2-digits
- Estimate multi-digit division problems
- Estimating multi-digit division
- Introduction to dividing by 2-digits
- Long division with remainders: 2292÷4
- Long division with remainders: 3771÷8
- Multi-digit division
- Multiply and divide whole numbers by 10, 100, and 1000
- Strategies for dividing multiples of 10, 100, and 1000
5.NR.3.1
Fully covered
- Add and subtract fractions word problems
- Add and subtract mixed numbers with unlike denominators (no regrouping)
- Add and subtract mixed numbers with unlike denominators (regrouping)
- Add fractions with unlike denominators
- Adding fractions with unlike denominators
- Adding mixed numbers: 19 3/18 + 18 2/3
- Area of rectangles with fraction side lengths
- Creating a fraction through division
- Creating mixed numbers with fraction division
- Decimals in written form
- Decimals in written form (hundredths)
- Decimals in written form (thousandths)
- Decimals in written form review
- Divide fractions and whole numbers word problems
- Dividing unit fractions by whole numbers
- Dividing whole numbers by unit fractions
- Dividing whole numbers by unit fractions visually
- Fraction multiplication as scaling
- Fractions as division
- Fractions as division by power of 10
- Fractions as division word problems
- Interpret multiplying fraction and whole number word problems
- Multiply fractions and whole numbers
- Multiply fractions and whole numbers word problems
- Multiply fractions word problems
- Multiplying 2 fractions: 5/6 x 2/3
- Multiplying 2 fractions: fraction model
- Multiplying 2 fractions: number line
- Multiplying fractions
- Multiplying fractions and whole numbers visually
- Multiplying fractions with visuals
- Multiplying fractions word problem: bike
- Multiplying fractions word problem: laundry
- Multiplying fractions word problem: milk
- Multiplying fractions word problem: movies
- Multiplying unit fractions and whole numbers
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators
- Subtracting mixed numbers: 7 6/9 - 3 2/5
- Understanding fractions as division
5.NR.3.2
Not covered
(Content unavailable)
5.NR.3.3
Fully covered
- Add and subtract fractions
- Add and subtract fractions word problems
- Add and subtract mixed numbers with unlike denominators (no regrouping)
- Add and subtract mixed numbers with unlike denominators (regrouping)
- Add fractions with unlike denominators
- Adding and subtracting 3 fractions
- Adding fractions with unlike denominators
- Adding fractions with unlike denominators introduction
- Adding mixed numbers with regrouping
- Adding mixed numbers: 19 3/18 + 18 2/3
- Equivalent expressions with common denominators
- Estimate to add and subtract fractions with different denominators
- Estimating adding fractions with unlike denominators
- Solving for the missing fraction
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators introduction
- Subtracting mixed numbers with regrouping (unlike denominators)
- Subtracting mixed numbers: 7 6/9 - 3 2/5
- Visually add and subtract fractions
- Visually adding fractions: 5/6+1/4
- Visually subtracting fractions: 3/4-5/8
5.NR.3.4
Fully covered
- Fraction multiplication as scaling examples
- Interpret multiplying fraction and whole number word problems
- Multiply fractions and whole numbers
- Multiply fractions and whole numbers visually
- Multiply fractions and whole numbers word problems
- Multiplying fractions and whole numbers
- Multiplying fractions and whole numbers visually
- Multiplying fractions by whole numbers on a number line
- Multiplying fractions word problem: milk
- Multiplying fractions word problem: movies
- Multiplying unit fractions and whole numbers
5.NR.3.5
Fully covered
- Fraction multiplication as scaling examples
- Interpret multiplying fraction and whole number word problems
- Multiply fractions and whole numbers
- Multiply fractions and whole numbers visually
- Multiply fractions and whole numbers word problems
- Multiplying fractions and whole numbers
- Multiplying fractions and whole numbers visually
- Multiplying fractions by whole numbers on a number line
- Multiplying fractions word problem: milk
- Multiplying fractions word problem: movies
- Multiplying unit fractions and whole numbers
5.NR.3.6
Fully covered
- Divide fractions and whole numbers word problems
- Dividing a unit fraction by a whole number
- Dividing a whole number by a unit fraction
- Dividing decimals by 10, 100, and 1000
- Dividing fractions and whole number word problems
- Dividing unit fractions by whole numbers
- Dividing unit fractions by whole numbers visually
- Dividing whole numbers by decimals examples
- Dividing whole numbers by unit fractions
- Dividing whole numbers by unit fractions visually
- Fraction and whole number division in contexts
- Fraction division in context
- Multiplication and division relationship for fractions
- Relate fraction division to fraction multiplication
- Visually dividing unit fraction by a whole number
- Visually dividing whole numbers by unit fractions
5.NR.4.1
Fully covered
- Add decimals like 40.1+7.6
- Add decimals like 47.75+11.98
- Adding decimals
- Compare decimal place value
- Compare decimals through thousandths
- Comparing decimals in different representations
- Decimal place value review
- Decimals in expanded form
- Decimals in expanded form review
- Decimals in written and expanded form
- Decimals in written form review
- Divide whole numbers like 63÷12 to get a decimal
- Divide whole numbers like 7÷5 to get a decimal
- Expressing decimals in multiple forms
- Multiply decimals (up to 4-digit factors)
- Multiply decimals like 1.7x0.12
- Multiplying decimals (no standard algorithm)
- Order decimals
- Ordering decimals
- Regroup decimals
- Regrouping with decimals
- Regrouping with decimals: 21.3
- Subtracting decimals: 9.57-8.09
- Visual understanding of regrouping decimals
- Write decimals in expanded form
5.NR.4.2
Fully covered
- Add decimals like 40.1+7.6
- Add decimals like 47.75+11.98
- Adding decimals
- Compare decimal place value
- Compare decimals challenge
- Compare decimals through thousandths
- Compare decimals word problems
- Comparing decimals word problems
- Comparing decimals: 156.378 and 156.348
- Comparing decimals: 9.97 and 9.798
- Decimals on the number line: thousandths
- Order decimals
- Ordering decimals
- Ordering decimals through thousandths
- Thousandths on the number line
5.NR.4.3
Fully covered
5.NR.4.4
Fully covered
- Add decimals like 0.7+0.5
- Add decimals like 0.76+0.21
- Add decimals like 4+5.7
- Add decimals like 40.1+7.6
- Add decimals like 47.75+11.98
- Add decimals like 5.53+6.1
- Add decimals visually
- Adding & subtracting decimals word problem
- Adding & subtracting decimals word problems
- Adding decimals
- Adding decimals with hundredths
- Adding decimals with ones and tenths parts
- Adding decimals with ones, tenths and hundredths
- Adding decimals word problem
- Adding decimals: 0.822+5.65
- Adding decimals: 9.087+15.31
- Adding decimals: thousandths
- Adding three decimals
- 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
- Estimating decimal addition
- Estimating decimal subtraction
- Estimating with adding decimals
- Estimating with subtracting decimals
- Intro to multiplying decimals
- Introduction to adding decimals: tenths
- Long division with decimals
- More advanced subtraction strategies with hundredths
- Multiplying challenging decimals
- Multiplying decimals like 0.847x3.54 (standard algorithm)
- Multiplying decimals like 2.45x3.6 (standard algorithm)
- Strategies for subtracting basic decimals
- Strategies for subtracting more complex decimals with tenths
- Subtract decimals < 1 (hundredths)
- Subtract decimals like 0.6-0.43
- Subtract decimals like 0.9-0.7
- Subtract decimals like 1.6-0.3
- Subtract decimals like 15-7.45
- Subtract decimals visually
- Subtracting decimals
- Subtracting decimals and whole numbers (tenths)
- Subtracting decimals: 10.1-3.93
- Subtracting decimals: 39.1 - 0.794
- Subtracting decimals: 9.005 - 3.6
- Subtracting decimals: 9.57-8.09
- Subtracting decimals: thousandths
- Subtraction strategies with hundredths
5.NR.5.1
Fully covered