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


  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

Operations with fractions

  1. D.1Write fractions in lowest terms
  2. D.2Least common denominator
  3. D.3Add and subtract fractions with like denominators
  4. D.4Add fractions with unlike denominators
  5. D.5Subtract fractions with unlike denominators
  6. D.6Add and subtract mixed numbers
  7. D.7Inequalities with addition and subtraction of fractions and mixed numbers
  8. D.8Reciprocals and multiplicative inverses
  9. D.9Multiply fractions and whole numbers
  10. D.10Multiply two fractions using models
  11. D.11Multiply fractions
  12. D.12Divide whole numbers by unit fractions using models
  13. D.13Divide whole numbers and unit fractions
  14. D.14Divide fractions

Rational numbers

  1. E.1Identify rational and irrational numbers
  2. E.2Round decimals and mixed numbers
  3. E.3Absolute value of rational numbers
  4. E.4Convert between decimals and fractions or mixed numbers
  5. E.5Compare rational numbers
  6. E.6Put rational numbers in order

Operations with rational numbers

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

Exponents and roots

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

Scientific notation

  1. H.1Convert between standard and scientific notation
  2. H.2Compare numbers written in scientific notation

Ratios, rates and proportions

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

Proportional relationships

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


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

Consumer math

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

Units of measurement

  1. M.1Convert rates and measurements: metric units
  2. M.2Metric mixed units
  3. M.3Convert square and cubic units of length
  4. M.4Convert between cubic metres and litres
  5. M.5Precision

Problem solving

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

Coordinate plane

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

Two-dimensional figures

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

Transformations and congruence

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

Transformations and similarity

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

Pythagorean theorem

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

Three-dimensional figures

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

Geometric measurement

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

Number sequences

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

Expressions and properties

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

One-variable equations

  1. X.1Which x satisfies an equation?
  2. X.2Write an equation from words
  3. X.3Model and solve equations using algebra tiles
  4. X.4Write and solve equations that represent diagrams
  5. X.5Properties of equality
  6. X.6Solve one-step equations
  7. X.7Solve two-step equations
  8. X.8Solve equations involving like terms
  9. X.9Solve equations: complete the solution
  10. X.10Solve equations: word problems

Linear functions

  1. Y.1Does (x, y) satisfy the linear function?
  2. Y.2Rate of change
  3. Y.3Constant rate of change
  4. Y.4Complete a table for a linear function
  5. Y.5Complete a table and graph a linear function
  6. Y.6Graph a line from an equation
  7. Y.7Interpret the graph of a linear function: word problems
  8. Y.8Write a linear function from a table
  9. Y.9Write linear functions: word problems

Data and graphs

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


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


  1. BB.1Probability of simple events
  2. BB.2Probability of opposite, mutually exclusive and overlapping events
  3. BB.3Experimental probability
  4. BB.4Make predictions
  5. BB.5Compound events: find the number of outcomes
  6. BB.6Counting principle


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