Las Vegas Math Tutor
Las Vegas Math Tutor

SEVENTH GRADE MATH

SEVENTH GRADE MATH

Number theory

  1. A.1Prime or composite
  2. A.2Prime factorization
  3. A.3Multiplicative inverses
  4. A.4Divisibility rules
  5. A.5Greatest common factor
  6. A.6Least common multiple
  7. A.7GCF and LCM: word problems
  8. A.8Scientific notation
  9. A.9Compare numbers written in scientific notation
  10. A.10Classify numbers

Integers

  1. B.1Understanding integers
  2. B.2Integers on number lines
  3. B.3Graph integers on horizontal and vertical number lines
  4. B.4Absolute value and opposite integers
  5. B.5Compare and order integers
  6. B.6Integer 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.4Complete addition and subtraction equations with integers
  5. C.5Add and subtract integers: word problems
  6. C.6Integer multiplication and division rules
  7. C.7Multiply and divide integers
  8. C.8Complete multiplication and division equations with integers
  9. C.9Evaluate numerical expressions involving integers

Decimals

  1. D.1Decimal numbers review
  2. D.2Compare and order decimals
  3. D.3Decimal number lines
  4. D.4Round decimals

Operations with decimals

  1. E.1Add and subtract decimals
  2. E.2Add and subtract decimals: word problems
  3. E.3Multiply decimals
  4. E.4Multiply decimals and whole numbers: word problems
  5. E.5Divide decimals
  6. E.6Divide decimals by whole numbers: word problems
  7. E.7Estimate sums, differences, and products of decimals
  8. E.8Add, subtract, multiply, and divide decimals: word problems
  9. E.9Multi-step inequalities with decimals
  10. E.10Maps with decimal distances
  11. E.11Evaluate numerical expressions involving decimals

Fractions and mixed numbers

  1. F.1Understanding fractions: word problems
  2. F.2Equivalent fractions
  3. F.3Write fractions in lowest terms
  4. F.4Fractions: word problems with graphs and tables
  5. F.5Least common denominator
  6. F.6Compare and order fractions
  7. F.7Compare fractions: word problems
  8. F.8Convert between mixed numbers and improper fractions
  9. F.9Compare mixed numbers and improper fractions
  10. F.10Round mixed numbers

Operations with fractions

  1. G.1Add and subtract fractions
  2. G.2Add and subtract fractions: word problems
  3. G.3Add and subtract mixed numbers
  4. G.4Add and subtract mixed numbers: word problems
  5. G.5Inequalities with addition and subtraction of fractions and mixed numbers
  6. G.6Estimate sums and differences of mixed numbers
  7. G.7Multiply fractions and whole numbers
  8. G.8Multiply two fractions using models
  9. G.9Multiply fractions
  10. G.10Multiply mixed numbers
  11. G.11Multiply fractions and mixed numbers: word problems
  12. G.12Divide fractions
  13. G.13Divide mixed numbers
  14. G.14Divide fractions and mixed numbers: word problems
  15. G.15Estimate products and quotients of fractions and mixed numbers
  16. G.16Add, subtract, multiply, and divide fractions and mixed numbers: word problems
  17. G.17Maps with fractional distances
  18. G.18Evaluate numerical expressions involving fractions

Rational numbers

  1. H.1Convert between decimals and fractions or mixed numbers
  2. H.2Identify rational numbers
  3. H.3Absolute value of rational numbers
  4. H.4Compare rational numbers
  5. H.5Put rational numbers in order
  6. H.6Add and subtract rational numbers
  7. H.7Apply addition and subtraction rules
  8. H.8Multiply and divide rational numbers
  9. H.9Apply multiplication and division rules

Exponents and square roots

  1. I.1Understanding exponents
  2. I.2Evaluate exponents
  3. I.3Solve equations with variable exponents
  4. I.4Exponents with negative bases
  5. I.5Exponents with decimal and fractional bases
  6. I.6Understanding negative exponents
  7. I.7Evaluate negative exponents
  8. I.8Evaluate numerical expressions involving exponents
  9. I.9Square roots of perfect squares
  10. I.10Estimate square roots

Ratios, rates, and proportions

  1. J.1Understanding ratios
  2. J.2Identify equivalent ratios
  3. J.3Write an equivalent ratio
  4. J.4Equivalent ratios: word problems
  5. J.5Unit rates
  6. J.6Compare ratios: word problems
  7. J.7Scale drawings: word problems
  8. J.8Do the ratios form a proportion?
  9. J.9Do the ratios form a proportion: word problems
  10. J.10Solve proportions
  11. J.11Solve proportions: word problems
  12. J.12Estimate population size using proportions
  13. J.13Rate of change
  14. J.14Constant rate of change

Proportional relationships

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

Percents

  1. L.1What percentage is illustrated?
  2. L.2Convert between percents, fractions, and decimals
  3. L.3Compare percents to fractions and decimals
  4. L.4Estimate percents of numbers
  5. L.5Percents of numbers and money amounts
  6. L.6Percents of numbers: word problems
  7. L.7Solve percent equations
  8. L.8Solve percent equations: word problems
  9. L.9Percent of change
  10. L.10Percent of change: word problems

Consumer math

  1. M.1Add, subtract, multiply, and divide money amounts: word problems
  2. M.2Price lists
  3. M.3Unit prices
  4. M.4Unit prices with unit conversions
  5. M.5Unit prices: find the total price
  6. M.6Percent of a number: tax, discount, and more
  7. M.7Find the percent: tax, discount, and more
  8. M.8Sale prices: find the original price
  9. M.9Multi-step problems with percents
  10. M.10Estimate tips
  11. M.11Simple interest
  12. M.12Compound interest

Problem solving and estimation

  1. N.1Estimate to solve word problems
  2. N.2Multi-step word problems
  3. N.3Guess-and-check word problems
  4. N.4Use Venn diagrams to solve problems
  5. N.5Find the number of each type of coin
  6. N.6Elapsed time word problems

Units of measurement

  1. O.1Estimate customary measurements
  2. O.2Estimate metric measurements
  3. O.3Compare and convert customary units
  4. O.4Mixed customary units
  5. O.5Compare and convert metric units
  6. O.6Convert between customary and metric systems
  7. O.7Precision
  8. O.8Celsius and Fahrenheit temperatures

Coordinate plane

  1. P.1Coordinate plane review
  2. P.2Quadrants and axes
  3. P.3Follow directions on a coordinate plane
  4. P.4Distance between two points

Number sequences

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

Expressions and properties

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

One-variable equations

  1. S.1Which x satisfies an equation?
  2. S.2Write an equation from words
  3. S.3Model and solve equations using algebra tiles
  4. S.4Write and solve equations that represent diagrams
  5. S.5Solve one-step equations
  6. S.6Solve two-step equations
  7. S.7Solve equations: word problems
  8. S.8Solve equations involving like terms
  9. S.9Solve equations: complete the solution

One-variable inequalities

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

Two-variable equations

  1. U.1Does (x, y) satisfy the equation?
  2. U.2Identify independent and dependent variables
  3. U.3Find a value using two-variable equations
  4. U.4Solve word problems involving two-variable equations
  5. U.5Complete a table for a two-variable relationship
  6. U.6Write a two-variable equation
  7. U.7Identify the graph of an equation
  8. U.8Graph a two-variable equation
  9. U.9Interpret a graph: word problems
  10. U.10Write an equation from a graph using a table

Linear functions

  1. V.1Find the slope from a graph
  2. V.2Find the slope from two points
  3. V.3Find a missing coordinate using slope
  4. V.4Find the slope from an equation
  5. V.5Graph a line using slope
  6. V.6Write a linear function
  7. V.7Identify linear and nonlinear functions

Two-dimensional figures

  1. W.1Identify and classify polygons
  2. W.2Name, measure, and classify angles
  3. W.3Classify triangles
  4. W.4Identify trapezoids
  5. W.5Classify quadrilaterals
  6. W.6Graph triangles and quadrilaterals
  7. W.7Find missing angles in triangles
  8. W.8Find missing angles in quadrilaterals
  9. W.9Interior angles of polygons
  10. W.10Lines, line segments, and rays
  11. W.11Parallel, perpendicular, and intersecting lines
  12. W.12Identify complementary, supplementary, vertical, adjacent, and congruent angles
  13. W.13Find measures of complementary, supplementary, vertical, and adjacent angles
  14. W.14Transversal of parallel lines
  15. W.15Find lengths and measures of bisected lines and angles
  16. W.16Parts of a circle

Transformations and congruence

  1. X.1Symmetry
  2. X.2Identify reflections, rotations, and translations
  3. X.3Translations: graph the image
  4. X.4Translations: find the coordinates
  5. X.5Reflections: graph the image
  6. X.6Reflections: find the coordinates
  7. X.7Rotations: graph the image
  8. X.8Rotations: find the coordinates
  9. X.9Similar and congruent figures
  10. X.10Congruence statements and corresponding parts
  11. X.11Side lengths and angle measures of congruent figures
  12. X.12Side lengths and angle measures of similar figures
  13. X.13Similar figures and indirect measurement

Pythagorean theorem

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

Three-dimensional figures

  1. Z.1Bases of three-dimensional figures
  2. Z.2Nets of three-dimensional figures
  3. Z.3Front, side, and top view
  4. Z.4Cross-sections of three-dimensional figures

Geometric measurement

  1. AA.1Perimeter
  2. AA.2Area of rectangles and parallelograms
  3. AA.3Area of triangles and trapezoids
  4. AA.4Area and perimeter: word problems
  5. AA.5Circles: calculate area, circumference, radius, and diameter
  6. AA.6Circles: word problems
  7. AA.7Volume
  8. AA.8Surface area
  9. AA.9Perimeter, area, and volume: changes in scale
  10. AA.10Semicircles: calculate area, perimeter, radius, and diameter
  11. AA.11Quarter circles: calculate area, perimeter, and radius
  12. AA.12Area of compound figures with triangles, semicircles, and quarter circles
  13. AA.13Area between two shapes

Data and graphs

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

Statistics

  1. CC.1Calculate mean, median, mode, and range
  2. CC.2Interpret charts to find mean, median, mode, and range
  3. CC.3Mean, median, mode, and range: find the missing number
  4. CC.4Changes in mean, median, mode, and range
  5. CC.5Calculate mean absolute deviation
  6. CC.6Identify representative, random, and biased samples

Probability

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