Grade 10 Math

ALGEBRA & FUNCTIONS (23)

I Given a step function graph determine the rule

I Given a situation represented by a step function, evaluate (multiple values)

III Match an inequality with a graph (both ways)

II Factor a polynomial that is a difference of squares or a prefect square trinomialor identify a polynomial that is a DOS or PST

I Perform an operation on a series of rational expressions (div)

II Given a periodic function, determine a value of y for an x that is beyond the given graph

I Match a function rule with the graph of its inverse

III Perform a polynomial long division (without a remainder) or identify the remainder of a PLD

I Solve an exponential equation using logarithms

III Systems of equations (elimination set-up & third equation)

II Exponential function (rule given, given y det. x then use to solve problem)(table given, find rule, given y solve for x)

II 2nd degree function (given table, find rule, given y find x)

I Step function (given 1 rule and 2 conditions, solve for x interval)

GEOMETRY (21)

III Given a line, determine the equation of another line parallel or perpendicular to itor identify the relationship between a pair of lines

II Given a triangle, find another triangle that is similar or congruent to it.or identify which pairs of triangles are similar or congruent

I Find the area of an SAS triangle

III Given a line segment, determine a point that divides the segment in a given ratio

I Given a line segment determine its length

II Solve a triangle using metric relations

I Given a right triangle determine a measure using trigonometry

III Solve compound triangle involving trigonometry (and metric relations)

III Proof involving analytic geometry (distance, relation between lines)

I Proof involving similarity

I Analytic geometry and inequality

PROBABLITY & STATISTICS (17)

II Arrange a list of coefficients of correlation in increasing or decreasing order

III Determine a conditional probability given a data table

II Given a value-frequency table, determine the mean or standard deviation

II Given a scatterplot; determine the coefficient of correlation by the graphical method

I Given a scatterplot; match it to a coefficient of correlation and/or the eq. of a regression line

I Identify if a game is fairor identify a change that would favor one of the parties

III Mathematical expectation (must determine a missing probability first)

I Conjecture involving 1-2 data distributions and a statement about S.D. or M.D.

I Probability situation involving Venn diagram

I Conjecture involving conditional probability