Grade 9 Math-U-See (Through Geometry)
BC Learning Outcomes

• solve problems that involve a specific content area (e.g., geometry, algebra, statistics, probability)
• solve problems that involve more than one content area within mathematics
• solve problems that involve mathematics within other disciplines
• analyse problems and identify the significant elements
• develop specific skills in selecting and using an appropriate problem-solving strategy or combination of strategies chosen from, but not restricted to, the following:

• guess and check

• identify patterns and use a systematic list
• make and use a drawing or model
• eliminate possibilities
• work backward
• simplify the original problem
• select and use appropriate technology to assist in problem solving
• analyse keywords

• solve problems individually and co-operatively

• determine that solutions to problems are correct and reasonable

• clearly and logically communicate a solution to a problem and the process used to solve it

• evaluate the efficiency of the processes used

• use appropriate technology to assist in problem solving

• give examples of situations where answers would involve the positive (principal) square root or both positive and negative square roots of a number

• illustrate power, base, coefficient, and exponent using rational numbers or variables as bases or coefficients

• document and explain the calculator keying sequences used to perform calculations involving rational numbers

• solve problems, using rational numbers in meaningful contexts

• evaluate exponential expressions with numerical bases

• model situations that can be represented by first-degree expressions
• write equivalent forms of algebraic expressions, or equations, with integral coefficients

• illustrate the solutions process for a first-degree, single-variable equation, using concrete materials or diagrams
• solve and verify first-degree, single-variable equations of forms such as: ax = b + cx; a(x+b)=c; ax + b = cx + d where a, b, c, and d are integers, and use equations of this type to model and solve problems
• identify constant terms, coefficients, and variables in polynomial expressions
• evaluate polynomial expressions, given the value(s) of the variable(s)

• explain the meaning of sine, cosine, and tangent ratios in right triangles

• demonstrate the use of trigonometric ratios (sine, cosine, and tangent) in solving right triangles

• calculate an unknown side or an unknown angle in a right triangle, using appropriate technology
• model and then solve given problem situations involving only one right triangle

• draw the plan and elevation of a 3-D object from sketches and models
• sketch or build a 3-D object, given its plan and elevation views

• recognize when, and explain why, two triangles are similar, and use the properties of similar triangles to solve problems

• recognize when, and explain why, two triangles are congruent, and use the properties of congruent triangles to solve problems

• design, conduct, and report on an experiment to investigate a relationship between two variables

• create scatter plots
• interpret a scatter plot to determine if there is an apparent linear relationship
• determine the lines of best fit from a scatter plot for an apparent linear relationship by:
  • inspection
  • using technology (equations are not expected)
• draw and justify conclusions from the line of best fit

• recognize that decisions based on probability may be a combination of theoretical calculations, experimental results, and subjective judgments
• demonstrate an understanding of the role of probability and statistics in society
• solve problems involving the probability of independent events