Concept
Grade 6
Grade 7
Grade 8
fractions
Addition

Subtraction

Represent, compare, order with unlike denominators


Proper, improper, mixed numbers
Addition
  • Simple like and unlike denominators
Subtraction
  • Simple like and unlike denominators
Multiplication
  • Fraction by fraction
  • Relationship of repeated addition to multiplication
Division
  • whole number by simple fraction


Represent/compare/order


Solve problems (+, -, x, / of simple fractions)
Addition

Subtraction

Multiplication

Division - fraction/whole number

Represent, compare, order positive and negative fractions
Represent multiplication and division

decimals
Add
  • to thousandths
Subtract
  • to thousandths
Multiply
  • to tenths by whole numbers
  • whole numbers by tenths, hundredths, thousandths
  • decimal numbers by 10, 100, 1000, 10 000
Divide
  • to tenths by whole numbers
  • decimal numbers by 10, 100, 1000, 10 000
Place value
  • .001 – 1 000 000
Read/represent/compare/order to thousandths
Add

Subtract

Multiply

  • to thousandths by whole numbers
Divide
  • to thousandths by whole numbers
  • whole numbers by decimal numbers to hundredths
Represent, compare, order positive and negative decimals to thousandths

x, / decimal numbers by powers of 10


Real life problem solving
percent
How percents relate to fractions and decimals
Problem solving using whole number percents
Real life problem solving using percents expressed to one decimal place and whole number percents greater than 100
ratio
Represent (including standard fractional notation)
Rate is a ratio of two measurements with different units
Real life problem solving

Positive square roots of whole numbers (differentiate between perfect square numbers and those that are not)

rate
Represent relationships using unit rates
Rate is a comparison of two measurements with different units
Problem-solving by calculating unit rates
Real life problem solving
linear relationships


Real life situations where two quantities are directly proportional
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