Major
Objectives of Chapter 6: Rational Number
Operations and Properties
Students will be
able to:
o
use
manipulatives and ideas of wholes and equal parts to develop and understand the
concept of rational number;
o
compare
and contrast different equivalent representations of rational numbers and
identify which forms are most useful in given situations;
o
use
discrete and continuous models to represent the variety of physical situations
associated with each rational number operation;
o
use
the properties of rational numbers and their operations to develop strategies
for comparing, ordering, adding, subtracting, multiplying, and dividing
rational numbers;
o
use their understanding of rational
numbers and rational number operations to solve problems.
o
Know
how to add, subtract, multiply and divide fractions and decimals;
o
know
how to use an area model for fraction multiplication,
o
illustrate
and explain the use of base-ten blocks for addition or subtraction of decimals,
o
illustrate
and explain the use of base-ten blocks for multiplication and division of
decimals,
o
illustrate
and explain multiplication of fractions using rectangular arrays,
o
illustrate
and explain addition and subtraction of fractions using fraction strips,
o
explain
the difference between a rational and irrational number and be able to
determine whether or not a number is rational or irrational;
o
know
how to add, subtract, multiply and divide decimals and be able to determine and
explain where the decimal point goes and why it goes there;
o
be
able to determine whether one fraction is greater than, less than, or equal to
another fraction;
o
use
an area model, linear model, and discrete model to represent a fraction;
o
be
able to find a fraction that lies between two given fractions;
o
be
able to determine whether one decimal is greater than, less than, or equal to
another decimal;
o
be
able to compare decimals and fractions; and
o
be able to represent a fraction as a
decimal or a decimal as a fraction.