Grade 9 curriculum summary

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Grade 9 curriculum summary
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• Number and Operation Sense
• identify irrational numbers and how we use them
• understand how the system of real numbers works
  and use real numbers in problems
• solve square root problems
• understand and apply the laws of exponents
• solve problems involving numbers written in
  scientific notation
• investigate the use of a matrix
• solve problems involving the matrix operations of
  addition, subtraction, and multiplication of a
  matrix by a number

3

• algebra and patterns
• represent patterns and relations in graphs,
  diagrams, tables, and equations and use these to
  predict unknown values
• interpret graphs of linear and non-linear
  equations
• construct tables and graphs to show how related
  quantities affect each other
• determine equations of lines and sketch graphs of
  equations
• explain the connections among tables, diagrams,
  graphs, and equations
• solve and check algebraically single-variable
  equations and inequalities
• graph and give the algebraic solution set for
  equations and inequalities
• solve and create problems involving linear
  equations and inequalities
• use manipulatives, diagrams, and symbols to add,
  subtract, multiply, and divide algebraic
  expressions
• evaluate polynomial expressions
• use manipulatives, symbols, and the area model to
  factor algebraic expressions
• apply mathematical properties when solving
  algebraic equations

4

• geometry and measurement
• apply the properties of translations,
  reflections, rotations, and dilatations on a
  coordinate plane
• determine the minimum sufficient conditions to
  guarantee a translation, a reflection, and a 180
  rotation
• determine the minimum sufficient conditions to
  guarantee the similarity of two triangles
• explore the circle and its properties
• extend work on platonic solids to include
  duality, dihedral angles, and symmetry
• explore problem solving using three-dimensional
  figures
• solve measurement problems involving conversion
  among metric units
• relate the volumes of pyramids and cones to the
  volumes of corresponding prisms and cylinders
• estimate, measure, and calculate dimensions,
  volumes, and surface areas of pyramids, cones,
  and spheres in problem situations

5

• Data management and probability
• interpret scatterplots
• sketch lines of best fit and determine their
  equations
• sketch curves of best fit
• display data using the most appropriate method
• make predictions based on data analysis and data
  displays
• evaluate interpretations of data displays
• demonstrate an understanding of how experimental
  and theoretical probabilities are related
• conduct experiments that involve dependent and
  independent events to make probability
  predictions
• determine theoretical probability of independent
  and dependent events
• recognize and explain why decisions based on
  probabilities may be combinations of theoretical
  calculations, experimental results, and
  subjective judgments