Overview: This is the first semester of our seventh grade course.

Meets: Either once a week for 3 hours or twice a week for 1.5 hours each time.
Note: Classes may be longer and/or meet more frequently during the summer.

Placement: To access the placement test for this class, please visit the page.

Topics:

• Review of Whole Numbers
  • System of numeration
  • The four operations
  • Approximation
  • Estimation
  • Laws of addition and multiplication
  • Mental calculation
  • Factor and multiples
  • Prime numbers and prime factorization
  • Greatest common factor
  • Least common multiple
  • Number patterns
• Fractions and Decimals
  • Four operations on fractions
  • Four operations on decimals
  • Units of measurement (length, mass, time, capacity)
  • Profit and loss word problems
  • Approximation and estiamtion
  • Significant figures
  • Conversion between decimals and fractions
• Problem-Solving Heuristics
• Real Mumbers
  • Negative numbers
  • Integers
  • Squares and square roots
  • Cubes and cube roots
  • Rational and irrational numbers
  • Order of calculation
  • Mental calculation and estimation
• Algebraic Expressions
  • Writing algebraic expressions
  • Algebraic notation
  • Evaluation of algebraic expressions
  • Algebraic terms
  • Use of brackets
  • Collecting like terms
• Equations and Formulae
  • Eqivalent equations
  • Solving equations
  • Equations with decimal and fractional coefficients
  • Evaluation of formulae
  • Algebraic word problems
• Rate, Ratio and Percentage
  • Rate
  • Speed
  • Ratio
  • Scale
  • Direct and inverse proportions
  • Percentage