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 8: Numerical Reasoning – Rational and Irrational Numbers, Decimal Expansion, Integer Exponents, Square and Cube Roots, Scientific Notation
8.NR.1.1
Mostly covered
- Classify numbers
- Classify numbers: rational & irrational
- Classifying numbers
- Classifying numbers review
- Classifying numbers: rational & irrational
- Converting a fraction to a repeating decimal
- Converting multi-digit repeating decimals to fractions
- Converting repeating decimals to fractions
- Converting repeating decimals to fractions (part 1 of 2)
- Converting repeating decimals to fractions (part 2 of 2)
- Intro to rational & irrational numbers
- Worked example: classifying numbers
- Writing fractions as repeating decimals
- Writing fractions as repeating decimals review
- Writing repeating decimals as fractions review
8.NR.1.2
Mostly covered
- Approximating square roots
- Approximating square roots
- Approximating square roots to hundredths
- Approximating square roots walk through
- Classify numbers
- Classify numbers: rational & irrational
- Classifying numbers
- Classifying numbers review
- Classifying numbers: rational & irrational
- Comparing irrational numbers
- Comparing irrational numbers with a calculator
- Comparing irrational numbers with radicals
- Converting a fraction to a repeating decimal
- Converting multi-digit repeating decimals to fractions
- Converting repeating decimals to fractions
- Converting repeating decimals to fractions (part 1 of 2)
- Converting repeating decimals to fractions (part 2 of 2)
- Intro to rational & irrational numbers
- Worked example: classifying numbers
- Writing fractions as repeating decimals
- Writing fractions as repeating decimals review
- Writing repeating decimals as fractions review
8.NR.2.1
Fully covered
- Multiply & divide powers (integer exponents)
- Divide powers
- Exponent properties review
- Exponent properties with parentheses
- Exponent properties with products
- Exponent properties with quotients
- Multiply powers
- Multiplying & dividing powers (integer exponents)
- Negative exponent intuition
- Negative exponents
- Negative exponents
- Negative exponents review
- Powers of powers
- Powers of products & quotients
- Powers of products & quotients (integer exponents)
- Powers of products & quotients (integer exponents)
- Square roots review
8.NR.2.2
Mostly covered
- Cube roots
- Cube roots review
- Dimensions of a cube from its volume
- Equations with square roots & cube roots
- Equations with square roots: decimals & fractions
- Intro to cube roots
- Intro to square roots
- Roots of decimals & fractions
- Square and cube challenge
- Square root of decimal
- Square roots
- Square roots of perfect squares
8.NR.2.3
Fully covered
- Adding & subtracting in scientific notation
- Approximating with powers of 10
- Approximating with powers of 10
- Multiplication and division with powers of ten
- Multiplying & dividing in scientific notation
- Multiplying & dividing in scientific notation
- Multiplying multiples of powers of 10
- Multiplying three numbers in scientific notation
- Scientific notation
- Scientific notation example: 0.0000000003457
- Scientific notation examples
- Scientific notation review
- Scientific notation word problem: red blood cells
- Scientific notation word problem: speed of light
- Scientific notation word problem: U.S. national debt
- Scientific notation word problems
- Simplifying in scientific notation challenge
- Subtracting in scientific notation
8.NR.2.4
Fully covered
- Adding & subtracting in scientific notation
- Multiplying & dividing in scientific notation
- Multiplying & dividing in scientific notation
- Multiplying multiples of powers of 10
- Multiplying three numbers in scientific notation
- Scientific notation word problem: red blood cells
- Scientific notation word problem: speed of light
- Scientific notation word problem: U.S. national debt
- Scientific notation word problems
- Simplifying in scientific notation challenge
- Subtracting in scientific notation