The based on the Mordkovich UMK typically covers four main thematic blocks:
: Properties of arithmetic square roots and simplifying radical expressions.
Perform operations with algebraic fractions. Example : The based on the Mordkovich UMK typically covers
x1=-7+112⋅2=44=1x sub 1 equals the fraction with numerator negative 7 plus 11 and denominator 2 center dot 2 end-fraction equals four-fourths equals 1
A common task in the Mordkovich curriculum is analyzing the function Solving Equations Solve basic quadratic equations such as
Construct a graph of a function (e.g., ) and determine its properties. Solving Equations Solve basic quadratic equations such as
a=2,b=7,c=-9a equals 2 comma space b equals 7 comma space c equals negative 9 Use the formula to find the number of roots. ) and determine its properties.
D=72−4(2)(-9)cap D equals 7 squared minus 4 open paren 2 close paren open paren negative 9 close paren D=49+72=121cap D equals 49 plus 72 equals 121 , there are two real roots. Note that Calculate the roots using