Grade Six
Students will identify real-life applications of the mathematical principles they are learning and apply these to science and other disciplines they are studying. For example, what is 25% of 600 students?
The development of problem-solving skills should be a major
goal of the mathematics program at every grade level.
Number and Number Sense
Focus: Relationships among Fractions, Decimals, and Percents
6.1 The
student will describe and compare data, using ratios, and will use appropriate
notations, such as , a to b, and a:b.
6.2 The
student will
a) investigate and
describe fractions, decimals, and percents as ratios;
b) identify a given
fraction, decimal, or percent from a representation;
c) demonstrate
equivalent relationships among fractions, decimals, and percents; and
d) compare and order
fractions, decimals, and percents.
6.3 The student
will
a) identify and
represent integers;
b) order and compare
integers; and
c) identify and
describe absolute value of integers.
6.4 The
student will demonstrate multiple representations of multiplication and division
of fractions.
6.5 The
student will investigate and describe concepts of positive exponents and perfect
squares.
Computation and Estimation
Focus: Applications of Operations with Rational Numbers
6.6 The student will
a) multiply and divide fractions and mixed numbers; and
b) estimate solutions
and then solve single-step and multistep practical problems involving addition,
subtraction, multiplication, and division of fractions.
6.7 The
student will solve single-step and multistep practical problems involving addition,
subtraction, multiplication, and division of decimals.
6.8 The
student will evaluate whole number numerical expressions, using the order of
operations.
Measurement
Focus: Problem Solving with Area, Perimeter, Volume, and Surface Area
6.9 The
student will make ballpark comparisons between measurements in the U.S.
Customary System of measurement and measurements in the metric system.
6.10 The student
will
a) define π (pi) as
the ratio of the circumference of a circle to its diameter;
b) solve practical
problems involving circumference and area of a circle, given the diameter or
radius;
c) solve practical
problems involving area and perimeter; and
d) describe and
determine the volume and surface area of a rectangular prism.
Geometry
Focus: Properties and Relationships
6.11 The student
will
a) identify the
coordinates of a point in a coordinate plane; and
b) graph ordered
pairs in a coordinate plane.
6.12 The student
will determine congruence of segments, angles, and polygons.
6.13 The student
will describe and identify properties of quadrilaterals.
Probability and Statistics
Focus: Practical Applications of Statistics
6.14 The
student, given a problem situation, will
a) construct circle
graphs;
b) draw conclusions
and make predictions, using circle graphs; and
c) compare and
contrast graphs that present information from the same data set.
6.15 The student
will
a) describe mean as
balance point; and
b) decide which
measure of center is appropriate for a given purpose.
6.16 The student
will
a) compare and
contrast dependent and independent events; and
b) determine
probabilities for dependent and independent events.
Patterns, Functions, and Algebra
Focus: Variable Equations and Properties
6.17 The student
will identify and extend geometric and arithmetic sequences.
6.18 The student
will solve one-step linear equations in one variable involving whole number
coefficients and positive rational solutions.
6.19 The student
will investigate and recognize
a) the identity
properties for addition and multiplication;
b) the multiplicative
property of zero; and
c) the inverse
property for multiplication.
6.20 The student
will graph inequalities on a number line.
