Scope and Sequence with Links

3rd Grade Singapore Math

Whole Numbers

Use place-value models to represent numbers to 10,000.

Read, write in words, standard, and expanded notation, identify place values of digits, and compare and order numbers within 10,000.

Count on and back in steps of 1, 10, 100, and 1000 and complete or extend regular number patterns within 10,000.

Addition and Subtraction of Whole Numbers

Add/Subtract numbers within 10,000.

Multiplication and Division of Whole Numbers

Relate division to multiplication.

Recognize and extend regular linear patterns.

Understand quotient and remainder.

Understand the properties of 0 and 1 in multiplication and division.

Multiply/Divide by 6's, 7's, 8's, and 9's.

Learn multiplication/division facts for 6's, 7's, 8's, and 9's.

Multiply numbers within 1000 by a 1-digit number.

Divide numbers within 1000 by a 1-digit number, including situations where there is a remainder.

Mental Math Strategies

Use the commutative and associative properties to perform mental calculations and check results.

Use the distributive property to perform mental calculations and check results.

Add/Subtract numbers within 100.

Add/Subtract 1's, 10's, or 100's to numbers within 1000.

Subtract from 1000.

Add and subtract money in compound units (dollars and cents) when the cents are multiples of 5 or close to $1.00.

Add/Subtract measurements in compound units.

Multiply and divide tens, hundreds, and thousands by a 1-digit number.

Fractions

Compare and order fractions with the same denominator or with the same numerator.

Find equivalent fractions and simplest form of a fraction.

Compare and order fractions with different denominators.

Recognize and name the fraction of a set.

Find the value given the fraction of a set, using objects or drawings.

Find the fraction of a set where the answer is a whole number.

Money

Use decimal notation to add and subtract money within $100.00.

Time

Tell time to the minute (analog clock face).

Find the duration of time intervals.

Find starting or ending times, given a time and the interval.

Know relationships of time (years, months, days, weeks, hours, and seconds).

Convert between of units of time.

Length, Weight, Mass, and Capacity

Measure and estimate length of objects in meters and centimeters, yards, feet, and inches.

Understand and estimate length in kilometers and miles.

Measure and estimate weight in kilograms, grams, pounds, and ounces.

Measure and estimate capacity in liters, cups, pints, quarts, half-gallon, and gallon.

Measure and estimate capacity in milliliters.

Convert units within a metric system using multiplication.

Add/subtract measurements in compound units.

Perimeter, Area, and Volume

Find the perimeter of polygons.

Find the area of shapes by covering them with unit squares or by counting squares.

Understand and use units of area, such as square centimeter and square inch.

Geometry

Identify common 3-dimensional shapes within compound shapes.

Identify right angles and compare angles to right angles.

Word Problems

Solve 2-step word problems which involve the four operations on whole numbers.