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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 sentences 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 sentences 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 using benchmarks
  8. F.8Compare fractions: word problems
  9. F.9Convert between mixed numbers and improper fractions
  10. F.10Compare mixed numbers and improper fractions
  11. F.11Round mixed numbers
  12. F.12Put a mix of decimals, fractions and mixed numbers in order

Add and subtract fractions

  1. G.1Add and subtract fractions with like denominators
  2. G.2Add and subtract fractions with like denominators: word problems
  3. G.3Add fractions with unlike denominators using models
  4. G.4Subtract fractions with unlike denominators using models
  5. G.5Add fractions with unlike denominators
  6. G.6Subtract fractions with unlike denominators
  7. G.7Add and subtract fractions with unlike denominators: word problems
  8. G.8Add and subtract mixed numbers
  9. G.9Add and subtract mixed numbers: word problems
  10. G.10Inequalities with addition and subtraction of fractions and mixed numbers
  11. G.11Estimate sums and differences of mixed numbers

Multiply fractions

  1. H.1Multiply unit fractions by whole numbers using number lines
  2. H.2Multiply unit fractions by whole numbers using models
  3. H.3Multiply fractions by whole numbers using number lines
  4. H.4Multiply fractions by whole numbers using models
  5. H.5Multiply fractions and whole numbers
  6. H.6Multiply fractions and whole numbers: word problems
  7. H.7Multiply two fractions using models
  8. H.8Multiply fractions
  9. H.9Multiply fractions: word problems
  10. H.10Multiply three or more fractions and whole numbers

Divide fractions

  1. I.1Divide whole numbers by unit fractions using models
  2. I.2Reciprocals
  3. I.3Divide whole numbers and unit fractions
  4. I.4Divide whole numbers by fractions
  5. I.5Divide fractions
  6. I.6Divide fractions: word problems

Rational numbers

  1. J.1Identify rational numbers
  2. J.2Convert between decimals and fractions or mixed numbers
  3. J.3Absolute value of rational numbers
  4. J.4Compare rational numbers
  5. J.5Put rational numbers in order
  6. J.6Add and subtract rational numbers
  7. J.7Apply addition and subtraction rules
  8. J.8Multiply and divide rational numbers
  9. J.9Apply multiplication and division rules
  10. J.10Estimate products and quotients of rational numbers
  11. J.11Add, subtract, multiply and divide rational numbers: word problems
  12. J.12Evaluate numerical expressions involving fractions

Exponents and square roots

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

Ratios, rates and proportions

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

Proportional relationships

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

Percents

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

Consumer math

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

Problem solving and estimation

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

Units of measurement

  1. Q.1Estimate metric measurements
  2. Q.2Compare and convert metric units
  3. Q.3Metric mixed units
  4. Q.4Convert square and cubic units of length
  5. Q.5Convert between cubic metres and litres
  6. Q.6Precision

Coordinate plane

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

Number sequences

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

Expressions and properties

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

One-variable equations

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

Two-variable equations

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

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 and quadrilaterals
  8. W.8Interior angles of polygons
  9. W.9Lines, line segments and rays
  10. W.10Parallel, perpendicular and intersecting lines
  11. W.11Identify complementary, supplementary, vertical, adjacent and congruent angles
  12. W.12Find measures of complementary, supplementary, vertical and adjacent angles
  13. W.13Transversal of parallel lines
  14. W.14Find lengths and measures of bisected line segments and angles
  15. W.15Parts 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.10Side lengths and angle measures of congruent figures
  11. X.11Congruence statements and corresponding parts
  12. X.12Side lengths and angle measures of similar figures
  13. X.13Similar figures and indirect measurement

Constructions

  1. Y.1Construct the midpoint or perpendicular bisector of a segment
  2. Y.2Construct an angle bisector
  3. Y.3Construct a congruent angle
  4. Y.4Construct a perpendicular line
  5. Y.5Construct parallel lines
  6. Y.6Construct an equilateral triangle or regular hexagon

Three-dimensional figures

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

Geometric measurement

  1. AA.1Perimeter
  2. AA.2Area of rectangles and parallelograms
  3. AA.3Area of triangles and trapezoids
  4. AA.4Area with mixed numbers
  5. AA.5Area and perimeter: word problems
  6. AA.6Circles: calculate area, circumference, radius and diameter
  7. AA.7Circles: word problems
  8. AA.8Semicircles: calculate area, perimeter, radius and diameter
  9. AA.9Quarter circles: calculate area, perimeter and radius
  10. AA.10Area of compound figures with triangles, semicircles and quarter circles
  11. AA.11Area between two shapes
  12. AA.12Volume
  13. AA.13Surface area
  14. AA.14Perimeter, area and volume: changes in scale

Data and graphs

  1. BB.1Interpret tables
  2. BB.2Interpret line plots
  3. BB.3Create line plots
  4. BB.4Interpret stem-and-leaf plots
  5. BB.5Interpret bar graphs
  6. BB.6Create bar graphs
  7. BB.7Interpret histograms
  8. BB.8Create histograms
  9. BB.9Create frequency charts
  10. BB.10Interpret circle graphs
  11. BB.11Circle graphs and central angles
  12. BB.12Interpret line graphs
  13. BB.13Create line graphs
  14. BB.14Interpret box-and-whisker plots
  15. BB.15Scatter plots
  16. BB.16Choose 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.5Identify 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.6Counting principle
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