3rd Grade Math
Number Sense
1.0 Students understand
the place value of whole numbers:
1.1 Count, read, and write whole numbers to 10,000.
1.2 Compare and order whole numbers to 10,000.
1.3 Identify the place value for each digit in numbers to 10,000.
1.4 Round off numbers to 10,000 to the nearest ten, hundred, and thousand.
1.5 Use expanded notation to represent numbers (e.g., 3,206 = 3,000 + 200 + 6).
2.0 Students calculate and
solve problems involving addition, subtraction, multiplication, and division:
2.1 Find the sum or difference of two whole numbers between
0 and 10,000.
2.2 Memorize to automaticity the multiplication table
for numbers between 1 and 10.
2.3 Use the inverse relationship of multiplication and division to compute and
check results.
2.4 Solve simple problems involving multiplication of multidigit
numbers by one-digit numbers (3,671 x 3 = __).
2.5 Solve division problems in which a multidigit
number is evenly divided by a one-digit number (135 ÷ 5 = __).
2.6 Understand the special properties of 0 and 1 in multiplication and
division.
2.7 Determine the unit cost when given the total cost and number of units.
2.8 Solve problems that require two or more of the skills mentioned above.
3.0 Students understand
the relationship between whole numbers, simple fractions, and decimals:
3.1 Compare fractions represented by drawings or concrete
materials to show equivalency and to add and subtract simple fractions in
context (e.g., 1/2 of a pizza is the same amount as 2/4 of another pizza that
is the same size; show that 3/8 is larger than 1/4).
3.2 Add and subtract simple fractions (e.g., determine that 1/8 + 3/8 is the same as 1/2).
3.3 Solve problems involving addition, subtraction, multiplication, and
division of money amounts in decimal notation and multiply and divide money
amounts in decimal notation by using whole-number multipliers and divisors.
3.4 Know and understand that fractions and decimals are two different
representations of the same concept (e.g., 50 cents is 1/2 of a dollar, 75
cents is 3/4 of a dollar).
Algebra and Functions
1.0 Students select
appropriate symbols, operations, and properties to represent, describe,
simplify, and solve simple number relationships:
1.1 Represent relationships of quantities in the form of
mathematical expressions, equations, or inequalities.
1.2 Solve problems involving numeric equations or inequalities.
1.3 Select appropriate operational and relational symbols to make an expression
true
(e.g., if 4 __ 3 = 12, what operational symbol goes in the blank?).
1.4 Express simple unit conversions in symbolic form
(e.g., __ inches = __ feet x 12).
1.5 Recognize and use the commutative and associative properties of multiplication
(e.g., if 5 x 7 = 35, then what is 7 x 5? and if 5 x 7 x 3 = 105, then what is
7 x 3 x 5?).
2.0 Students represent
simple functional relationships:
2.1 Solve simple problems involving a functional
relationship between two quantities (e.g., find the total cost of multiple
items given the cost per unit).
2.2 Extend and recognize a linear pattern by its rules (e.g., the number of
legs on a given number of horses may be calculated by counting by 4s or by
multiplying the number of horses by 4).
Measurement and Geometry
1.0 Students choose and
use appropriate units and measurement tools to quantify the properties of
objects:
1.1 Choose the appropriate tools and units (metric and
1.2 Estimate or determine the area and volume of solid figures by covering them
with squares or by counting the number of cubes that would fill them.
1.3 Find the perimeter of a polygon with integer sides.
1.4 Carry out simple unit conversions within a system of measurement (e.g.,
centimeters and meters, hours and minutes).