Download Grade 4 Mathematics Content

Grade 4 Mathematics Content
Whole Numbers
Using benchmark numbers in estimation
Place value through ten thousands
Read, write, compare, and order numbers
through ten thousands
Round numbers less than 1,000 to nearest
tens and hundreds
Whole Number Operations
(addition, subtraction, multiplication,
division)
Associative properties
Basic facts
Estimation of sums, differences, products,
quotients
Additions and subtraction using up to four digit numbers, with regrouping
Subtraction across zeroes
Multiplication by multiples of ten and by 1
and 2-digit factors
Division by 1 digit divisors, with and without
remainders
Algebra and Functions
Writing number sentences
Writing and evaluating numerical
expressions, using variables
Using parentheses
Fractions
Reading, writing, comparing, ordering, and
locating on a number line
Equivalent fractions using mauipulatives
Addition and subtraction of fractions with
like denominators
Decimals
Measurement
Express decimals as an equivalent form of
fractions
Reading and writing decimals through
hundredths
Comparing and ordering decimals
Adding and subtracting decimals
Data and Graphing
Measuring to the nearest standard unit (1/2
and ¼ inches, whole feet, whole yards,
whole centimeters, and whole meters)
Customary and metric units of measure
Choosing appropriate units
Linear measure, capacity, mass,
temperature
Perimeter, area and volume
Collecting, organizing, and displaying data
Bar and graphs
Comparing graphs
Problem Solving (strategies used
apply to all units)
Time
Reading and using clocks, schedules and
calendars
Calculate elapsed time
Money
Addition, subtraction, multiplication, and
division (related to decimals)
Generating equivalent amounts using
various coins
Make change
Geometry
Lines, rays, angles, points, and line
segments
Intersecting, perpendicular and parallel
lines
Angles (acute, obtuse, right, and straight)
Identify and classify polygons
Classify quadrilaterals
Pattern blocks
Solid figures – face, edge, vertex for solid
figures
Make a table, model, graph
Estimate or find exact answers
Draw conclusions
Sequence information
Choose the operation
Work backward
Write an equation
Solve a simpler problem
Predict and test
Find a pattern
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.