Program of Studies: [Math 10C] [Math 10-3] [Math 10-4] [Math 20-1] [Math 20-2] [Math 20-3] [Math 20-4] [Math 30-1] [Math 30-2] [Math 30-3]
[ME] Mental Mathematics
[PS] Problem Solving
General Outcome: Develop number sense and logical reasoning.
Specific Outcomes: It is expected that students will:
1.1 Make conjectures by observing patterns and identifying properties, and justify the reasoning.
1.2 Explain why inductive reasoning may lead to a false conjecture.
1.3 Compare, using examples, inductive and deductive reasoning.
1.4 Provide and explain a counterexample to disprove a given conjecture.
1.5Prove algebraic and number relationships such as divisibility rules, number properties, mental mathematics strategies or algebraic number tricks.
1.6 Prove a conjecture, using deductive reasoning (not limited to two column proofs). 1.7 Determine if a given argument is valid, and justify the reasoning.
1.8 dentify errors in a given proof; e.g., a proof that ends with 2 = 1.
1.9 Solve a contextual problem that involves inductive or deductive reasoning.
(It is intended that this outcome be integrated throughout the course by using sliding, rotation, construction, deconstruction and similar puzzles and games.)
2.1 Determine, explain and verify a strategy to solve a puzzle or to win a game; e.g.,
2.2 Identify and correct errors in a solution to a puzzle or in a strategy for winning a game.
2.3 Create a variation on a puzzle or a game, and describe a strategy for solving the puzzle or winning the game.
3.1 Compare and order radical expressions with numerical radicands.
3.2 Express an entire radical with a numerical radicand as a mixed radical.
3.3 Express a mixed radical with a numerical radicand as an entire radical.
3.4 Perform one or more operations to simplify radical expressions with numerical or variable radicands.
3.5 Rationalize the monomial denominator of a radical expression.
3.6 Identify values of the variable for which the radical expression is defined.
(It is intended that the equations have only one radical.)
4.1 Determine any restrictions on values for the variable in a radical equation.
4.2 Determine, algebraically, the roots of a radical equation, and explain the process used to solve the equation.
4.3 Verify, by substitution, that the values determined in solving a radical equation are roots of the equation.
4.4 Explain why some roots determined in solving a radical equation are extraneous. 4.5 Solve problems by modelling a situation with a radical equation and solving the equation.
March, 2008 http://www.education.alberta.ca/media/655889/math10to12.pdf
2008 Program of Studies with Achievement Indicators: http://education.alberta.ca/media/823110/math10to12_ind.pdf
Authorized Resources: http://www.education.alberta.ca/teachers/program/math/educator/resources.aspx