Grade 6 Mathematics Content
Estimate sums, differences, products and
quotients
Whole Number Applications
Percent
Addition, subtraction, multiplication, division
Basic facts
Properties: associative, commutative,
distributive, identity, inverse and zero
Estimation of sums, differences, products,
quotients
Addition with regrouping
Subtraction across zeroes
Division with and without remainders
Order of operations
Rounding
Exponential notation
Evaluate expressions with exponents
Estimating
Place value to trillions
Change a decimal to a percent
Change a fraction to a percent
Find the percent of a number
Estimate a percent of a quantity
Decimals
Customary and metric units of measure
Perimeter and circumference
Area of a triangle, rectangle, square, circle, and
irregular polygons
Capacity and volume of a rectangular prism
Identify customary and metric units of capacity
Identify equivalent units
Estimate volume, area and circumference
Order and compare decimals
Estimating decimals
Rounding decimals
Addition, subtraction, multiplication and division
of decimals
Place value
Decimal expressions and equations
Interpreting the remainder
Fraction Concepts and Operations
Divisibility rules
Prime factors
Least common multiple
Greatest common factor
Equivalent fractions and simplest form
Mixed numbers and fractions
Compare and order fractions
Change improper fractions to mixed numbers
Change fractions to decimals and percents
Multiplicative inverse (reciprocals)
Addition, subtraction, multiplication and division
of fractions and mixed numbers
Algebra and Functions
Identify, write and evaluate algebraic
expressions with a variable
Number patterns and functions
Absolute value
Rational Numbers
Translate 2 step verbal expressions into
algebraic expressions
Use substitution to evaluate an expression
Solve 2 step equations
Measurement
Statistics and Probability
Collect, organize and display data
Determine and justify the most appropriate
graph to display a set of data (pictograph, bar
graph, line graph, histogram, or circle graph)
Find the range, mean, median and mode
Construct Venn Diagrams
Read and interpret graphs
List possible outcomes for compound events
Determine the probability of dependent events
Use the Fundamental Counting Principle
Geometry
Calculate the length of corresponding sides of
similar triangles using proportions
Recognize similarity and congruence
Classify polygons
Recognize geometric figures
Find the area of triangles and quadrilaterals
Use strategies to find the area of regular and
irregular polygons
Find the volume of rectangular prisms
Identify radius, diameter, chords and central
angles of a circle
Understand diameter and radius and
circumference
Find the area and circumference of a circle
Find the area of a sector of a circle
Identify and plot points in all four quadrants
Calculate the area of basic polygons on a
coordinate plane
Ratio and Proportion
Venn Diagrams
Describe and compare 2 sets of data using
ratios
Write ratios and proportions
Sample space
Solve a proportion
Identify the probability of certain events
Conduct and predict outcomes of experiments
Rate
Solve proportions using equivalent fractions
Integers
Understand integers and rational numbers
Compare and order rational numbers
Additive inverse
Addition and subtraction of integers on a number
line
Problem Solving (Strategies used in all
units)
Make a table, model, graph, or organized list
Estimate or find exact answers
Draw conclusions, sequence information
Choose the correct operation(s),
Find a pattern
Write an equation
Draw a diagram
New York State Education Department Learning Standard for Mathematics
Students will understand the concepts of and become proficient with the skills of mathematics; communicate and reason
mathematically; become problem solvers by using appropriate tools and strategies through the integrated study of number sense and
operations, algebra, geometry, measurement, and statistics and probability.
Content Strands
Strand 1:
Number Sense
and Operations
Definition
Example
Students will understand numbers, multiple ways of representing numbers, 1. Verbally count by 1’s to 20.
relationships among numbers, and number systems; understand meanings 2. Solve proportions using equivalent fractions.
of operations and procedures, and how they relate to one another; compute
accurately and make reasonable estimates.
Strand 2:
Algebra
Students will represent and analyze algebraically a wide variety of
problem solving situations; perform algebraic procedures accurately;
recognize, use, and represent patterns, relations, and functions
algebraically.
1. Use a variety of manipulative materials to
create patterns using attributes of color, size,
or shape.
2. Solve simple one-step equations using basic
whole number facts.
Strand 3:
Geometry
Students will use visualization and spatial reasoning to analyze
characteristics and properties of geometric shapes; identify and justify
geometric relationships, formally and informally; apply transformations
and symmetry to analyze problem solving situations; apply coordinate
geometry to analyze problem solving situations.
1. Identify and appropriately name twodimensional shapes: circle, square,
rectangle, and triangle (both regular and
irregular).
2. Classify angles as acute, obtuse, right and
straight.
Strand 4:
Measurement
Students will determine what can be measured and how, using appropriate
methods and formulas; use units to give meaning to measurements;
understand that all measurement contains error and be able to determine
its significance; develop strategies for estimating measurements.
1. Compare the length of two objects by
representing each length with string or a
paper strip.
2. Identify radius, diameter, chords, and central
angles of a circle.
Strand 5:
Statistics
and Probability
Students will collect, organize, display, and analyze data; make
predictions that are based upon data analysis; understand and apply
concepts of probability.
1. Display data in bar graphs using concrete
objects with intervals of one.
2. Calculate the mean for a given set of data
and use it to describe a set of data.
S:\Ci\MS Word\Math\New Parent Handouts 2005\Gd.2. Parent Handout.doc
1. Example for Primary Instruction.
2. Example for Intermediate Instruction.