Las Vegas Math Tutor
Las Vegas Math Tutor

EIGHTH GRADE MATH

EIGHTH GRADE MATH

Number theory

  1. A.1Factors
  2. A.2Divisibility rules
  3. A.3Prime or composite
  4. A.4Prime factorization
  5. A.5Greatest common factor
  6. A.6Least common multiple
  7. A.7GCF and LCM: word problems
  8. A.8Classify numbers

Integers

  1. B.1Integers on number lines
  2. B.2Graph integers on horizontal and vertical number lines
  3. B.3Absolute value and opposite integers
  4. B.4Compare and order integers
  5. B.5Integer inequalities with absolute values

Operations with integers

  1. C.1Integer addition and subtraction rules
  2. C.2Add and subtract integers using counters
  3. C.3Add and subtract integers
  4. C.4Add and subtract three or more integers
  5. C.5Add and subtract integers: word problems
  6. C.6Integer multiplication and division rules
  7. C.7Multiply and divide integers
  8. C.8Evaluate numerical expressions involving integers

Rational numbers

  1. D.1Write fractions in lowest terms
  2. D.2Least common denominator
  3. D.3Round decimals and mixed numbers
  4. D.4Convert between decimals and fractions or mixed numbers
  5. D.5Identify rational and irrational numbers
  6. D.6Absolute value of rational numbers
  7. D.7Compare rational numbers
  8. D.8Put rational numbers in order

Operations with rational numbers

  1. E.1Reciprocals and multiplicative inverses
  2. E.2Add and subtract rational numbers
  3. E.3Add and subtract rational numbers: word problems
  4. E.4Apply addition and subtraction rules
  5. E.5Multiply and divide rational numbers
  6. E.6Multiply and divide rational numbers: word problems
  7. E.7Apply multiplication and division rules
  8. E.8Apply addition, subtraction, multiplication, and division rules
  9. E.9Evaluate numerical expressions involving rational numbers

Exponents and roots

  1. F.1Understanding exponents
  2. F.2Evaluate exponents
  3. F.3Solve equations with variable exponents
  4. F.4Exponents with negative bases
  5. F.5Exponents with decimal and fractional bases
  6. F.6Understanding negative exponents
  7. F.7Evaluate negative exponents
  8. F.8Multiplication with exponents
  9. F.9Division with exponents
  10. F.10Multiplication and division with exponents
  11. F.11Power rule
  12. F.12Evaluate expressions using properties of exponents
  13. F.13Identify equivalent expressions involving exponents
  14. F.14Square roots of perfect squares
  15. F.15Positive and negative square roots
  16. F.16Estimate positive and negative square roots
  17. F.17Relationship between squares and square roots
  18. F.18Solve equations involving squares and square roots
  19. F.19Cube roots of perfect cubes
  20. F.20Solve equations involving cubes and cube roots
  21. F.21Estimate cube roots

Scientific notation

  1. G.1Convert between standard and scientific notation
  2. G.2Compare numbers written in scientific notation
  3. G.3Multiply numbers written in scientific notation
  4. G.4Divide numbers written in scientific notation

Ratios, rates, and proportions

  1. H.1Understanding ratios
  2. H.2Identify equivalent ratios
  3. H.3Write an equivalent ratio
  4. H.4Equivalent ratios: word problems
  5. H.5Unit rates
  6. H.6Compare ratios: word problems
  7. H.7Solve proportions: word problems
  8. H.8Do the ratios form a proportion?
  9. H.9Do the ratios form a proportion: word problems
  10. H.10Solve proportions
  11. H.11Estimate population size using proportions
  12. H.12Scale drawings: word problems

Proportional relationships

  1. I.1Find the constant of proportionality from a table
  2. I.2Write equations for proportional relationships from tables
  3. I.3Identify proportional relationships by graphing
  4. I.4Find the constant of proportionality from a graph
  5. I.5Write equations for proportional relationships from graphs
  6. I.6Identify proportional relationships
  7. I.7Graph proportional relationships
  8. I.8Interpret graphs of proportional relationships
  9. I.9Write and solve equations for proportional relationships

Percents

  1. J.1Convert between percents, fractions, and decimals
  2. J.2Compare percents to fractions and decimals
  3. J.3Find what percent one number is of another
  4. J.4Find what percent one number is of another: word problems
  5. J.5Estimate percents of numbers
  6. J.6Percents of numbers and money amounts
  7. J.7Percents of numbers: word problems
  8. J.8Compare percents of numbers
  9. J.9Solve percent equations
  10. J.10Percent of change
  11. J.11Percent of change: word problems

Consumer math

  1. K.1Price lists
  2. K.2Unit prices
  3. K.3Unit prices with unit conversions
  4. K.4Unit prices: find the total price
  5. K.5Percent of a number: tax, discount, and more
  6. K.6Find the percent: tax, discount, and more
  7. K.7Sale prices: find the original price
  8. K.8Multi-step problems with percents
  9. K.9Estimate tips
  10. K.10Simple interest
  11. K.11Compound interest

Units of measurement

  1. L.1Convert rates and measurements: customary units
  2. L.2Convert rates and measurements: metric units
  3. L.3Mixed customary units
  4. L.4Convert between customary and metric systems
  5. L.5Precision
  6. L.6Convert between Celsius and Fahrenheit

Problem solving

  1. M.1Multi-step word problems
  2. M.2Guess-and-check word problems
  3. M.3Use Venn diagrams to solve problems
  4. M.4Elapsed time word problems

Coordinate plane

  1. N.1Coordinate plane review
  2. N.2Quadrants and axes
  3. N.3Follow directions on a coordinate plane
  4. N.4Find the distance between two points

Two-dimensional figures

  1. O.1Identify and classify polygons
  2. O.2Classify triangles
  3. O.3Identify trapezoids
  4. O.4Classify quadrilaterals
  5. O.5Graph triangles and quadrilaterals
  6. O.6Find missing angles in triangles
  7. O.7Find missing angles in quadrilaterals
  8. O.8Exterior Angle Theorem
  9. O.9Interior angles of polygons
  10. O.10Identify complementary, supplementary, vertical, adjacent, and congruent angles
  11. O.11Find measures of complementary, supplementary, vertical, and adjacent angles
  12. O.12Transversal of parallel lines
  13. O.13Find lengths and measures of bisected lines and angles
  14. O.14Parts of a circle

Transformations and congruence

  1. P.1Symmetry
  2. P.2Identify reflections, rotations, and translations
  3. P.3Translations: graph the image
  4. P.4Translations: find the coordinates
  5. P.5Reflections: graph the image
  6. P.6Reflections: find the coordinates
  7. P.7Rotations: graph the image
  8. P.8Rotations: find the coordinates
  9. P.9Congruence statements and corresponding parts
  10. P.10Side lengths and angle measures of congruent figures
  11. P.11Congruent triangles: SSS, SAS, and ASA

Transformations and similarity

  1. Q.1Similar and congruent figures
  2. Q.2Dilations: graph the image
  3. Q.3Dilations: find the coordinates
  4. Q.4Dilations: scale factor and classification
  5. Q.5Side lengths and angle measures of similar figures

Pythagorean theorem

  1. R.1Pythagorean theorem: find the length of the hypotenuse
  2. R.2Pythagorean theorem: find the missing leg length
  3. R.3Pythagorean theorem: find the perimeter
  4. R.4Pythagorean theorem: word problems
  5. R.5Converse of the Pythagorean theorem: is it a right triangle?

Three-dimensional figures

  1. S.1Parts of three-dimensional figures
  2. S.2Nets of three-dimensional figures
  3. S.3Front, side, and top view
  4. S.4Base plans
  5. S.5Similar solids

Geometric measurement

  1. T.1Perimeter
  2. T.2Area
  3. T.3Area and perimeter: word problems
  4. T.4Area between two shapes
  5. T.5Circles, semicircles, and quarter circles
  6. T.6Circles: word problems
  7. T.7Volume of cubes, prisms, and pyramids
  8. T.8Surface area of cubes, prisms, and pyramids
  9. T.9Volume of cylinders and cones
  10. T.10Surface area of cylinders and cones
  11. T.11Volume of spheres
  12. T.12Surface area of spheres
  13. T.13Volume and surface area of similar solids
  14. T.14Perimeter, area, and volume: changes in scale

Number sequences

  1. U.1Identify arithmetic and geometric sequences
  2. U.2Arithmetic sequences
  3. U.3Geometric sequences
  4. U.4Number sequences: mixed review
  5. U.5Number sequences: word problems
  6. U.6Evaluate variable expressions for number sequences
  7. U.7Write variable expressions for arithmetic sequences

Expressions and properties

  1. V.1Write variable expressions
  2. V.2Write variable expressions from diagrams
  3. V.3Write variable expressions: word problems
  4. V.4Evaluate one-variable expressions
  5. V.5Evaluate multi-variable expressions
  6. V.6Evaluate absolute value expressions
  7. V.7Evaluate radical expressions
  8. V.8Evaluate rational expressions
  9. V.9Identify terms and coefficients
  10. V.10Sort factors of expressions
  11. V.11Properties of addition and multiplication
  12. V.12Multiply using the distributive property
  13. V.13Write equivalent expressions using properties
  14. V.14Add and subtract like terms
  15. V.15Add, subtract, and multiply linear expressions
  16. V.16Factors of linear expressions
  17. V.17Identify equivalent linear expressions

One-variable equations

  1. W.1Which x satisfies an equation?
  2. W.2Write an equation from words
  3. W.3Model and solve equations using algebra tiles
  4. W.4Write and solve equations that represent diagrams
  5. W.5Properties of equality
  6. W.6Solve one-step equations
  7. W.7Solve two-step equations
  8. W.8Solve multi-step equations
  9. W.9Solve equations involving like terms
  10. W.10Solve equations with variables on both sides
  11. W.11Solve equations: mixed review
  12. W.12Solve equations: complete the solution
  13. W.13Solve equations: word problems
  14. W.14Find the number of solutions
  15. W.15Create equations with no solutions or infinitely many solutions

One-variable inequalities

  1. X.1Solutions to inequalities
  2. X.2Graph inequalities on number lines
  3. X.3Write inequalities from number lines
  4. X.4Solve one-step inequalities
  5. X.5Graph solutions to one-step inequalities
  6. X.6Solve two-step inequalities
  7. X.7Graph solutions to two-step inequalities
  8. X.8Solve multi-step inequalities
  9. X.9Graph solutions to multi-step inequalities

Linear equations

  1. Y.1Find the slope of a graph
  2. Y.2Find the slope from two points
  3. Y.3Find a missing coordinate using slope
  4. Y.4Find the slope of a linear equation
  5. Y.5Graph a line using slope
  6. Y.6Graph a line from an equation in slope-intercept form
  7. Y.7Write a linear equation from a slope and y-intercept
  8. Y.8Write a linear equation from a graph
  9. Y.9Write a linear equation from a slope and a point
  10. Y.10Write a linear equation from two points
  11. Y.11Convert a linear equation in standard form to slope-intercept form
  12. Y.12Graph a line from an equation in standard form
  13. Y.13Slopes of parallel and perpendicular lines

Functions

  1. Z.1Identify functions
  2. Z.2Does (x, y) satisfy the linear function?
  3. Z.3Identify independent and dependent variables
  4. Z.4Rate of change
  5. Z.5Constant rate of change
  6. Z.6Evaluate a linear function
  7. Z.7Complete a table for a linear function
  8. Z.8Complete a table and graph a linear function
  9. Z.9Interpret the graph of a linear function: word problems
  10. Z.10Write a linear function from a table
  11. Z.11Compare linear functions: graphs, tables, and equations
  12. Z.12Write linear functions: word problems
  13. Z.13Interpret linear functions
  14. Z.14Identify linear and nonlinear functions
  15. Z.15Does (x, y) satisfy the nonlinear function?
  16. Z.16Evaluate a nonlinear function
  17. Z.17Find values using function graphs
  18. Z.18Complete a table for a function graph

Systems of linear equations

  1. AA.1Is (x, y) a solution to the system of equations?
  2. AA.2Solve a system of equations by graphing
  3. AA.3Solve a system of equations by graphing: word problems
  4. AA.4Find the number of solutions to a system of equations by graphing
  5. AA.5Find the number of solutions to a system of equations
  6. AA.6Classify a system of equations by graphing
  7. AA.7Classify a system of equations
  8. AA.8Solve a system of equations using substitution
  9. AA.9Solve a system of equations using substitution: word problems
  10. AA.10Solve a system of equations using elimination
  11. AA.11Solve a system of equations using elimination: word problems

Monomials and polynomials

  1. BB.1Identify monomials
  2. BB.2Model polynomials with algebra tiles
  3. BB.3Add and subtract polynomials using algebra tiles
  4. BB.4Add and subtract polynomials
  5. BB.5Add polynomials to find perimeter
  6. BB.6Multiply monomials
  7. BB.7Divide monomials
  8. BB.8Multiply and divide monomials
  9. BB.9Powers of monomials
  10. BB.10Square and cube roots of monomials
  11. BB.11Multiply polynomials using algebra tiles
  12. BB.12Multiply polynomials
  13. BB.13Multiply polynomials to find area

Data and graphs

  1. CC.1Interpret tables
  2. CC.2Interpret bar graphs
  3. CC.3Create bar graphs
  4. CC.4Interpret line graphs
  5. CC.5Create line graphs
  6. CC.6Interpret line plots
  7. CC.7Create line plots
  8. CC.8Create and interpret line plots with fractions
  9. CC.9Interpret stem-and-leaf plots
  10. CC.10Interpret histograms
  11. CC.11Create histograms
  12. CC.12Create frequency charts
  13. CC.13Interpret box-and-whisker plots
  14. CC.14Scatter plots
  15. CC.15Interpret circle graphs
  16. CC.16Circle graphs and central angles
  17. CC.17Choose the best type of graph

Statistics

  1. DD.1Calculate mean, median, mode, and range
  2. DD.2Interpret charts to find mean, median, mode, and range
  3. DD.3Mean, median, mode, and range: find the missing number
  4. DD.4Changes in mean, median, mode, and range
  5. DD.5Quartiles
  6. DD.6Identify an outlier
  7. DD.7Identify an outlier and describe the effect of removing it
  8. DD.8Outliers in scatter plots
  9. DD.9Scatter plots: line of best fit
  10. DD.10Identify representative, random, and biased samples

Probability

  1. EE.1Probability of simple events
  2. EE.2Probability of opposite, mutually exclusive, and overlapping events
  3. EE.3Experimental probability
  4. EE.4Make predictions
  5. EE.5Compound events: find the number of outcomes
  6. EE.6Identify independent and dependent events
  7. EE.7Probability of independent and dependent events
  8. EE.8Factorials
  9. EE.9Permutations
  10. EE.10Counting principle
  11. EE.11Combination and permutation notation