Grade 3 Math Practice

Students will understand that an equation is a statement that asserts the equality of two expressions. They will use a symbol for an unknown quantity in word problems.

Students will fluently add two- and three-digit numbers, using strategies based on place value and properties of operations. This includes regrouping.

Students will compare two fractions with different numerators and different denominators. They will reason about the size of the fractions using their understanding of fractions.

Students will understand division as partitioning a set of objects into equal shares. They will connect division to sharing and grouping.

Students will memorize and fluently recall division facts for numbers up to 10 by 10. This complements multiplication fact fluency.

Students will develop an understanding of equivalent fractions, recognizing that different fractions can represent the same value. They will use visual fraction models.

Students will represent fractions on a number line, understanding that the distance from 0 to 1 is divided into equal parts. They will locate and compare fractions on the number line.

Students will understand multiplication as a process of joining equal groups, representing this as repeated addition. They will develop a foundational understanding of multiplication.

Students will memorize and fluently recall multiplication facts for numbers up to 10 by 10. This is a core skill for future math success.

Students will apply properties of operations to multiply and divide. This includes understanding that order doesn't matter (commutative) and how numbers can be grouped (associative) and broken apart (distributive).

Students will learn to round whole numbers to the nearest 10 or 100 using place value understanding. This skill is crucial for estimation.

Students will solve word problems involving multiplication and division within 100, using visual models and equations. They will learn to interpret the context of the problem.

Students will solve two-step word problems involving addition and subtraction within 1000. They will use equations with a symbol for the unknown number.

Students will fluently subtract two- and three-digit numbers, using strategies based on place value and properties of operations. This includes regrouping.

Students will understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts. They will also understand a fraction a/b as a parts of size 1/b.

Students will explore the relationship between multiplication and division, recognizing them as inverse operations. This helps in solving related problems.

Students will explore and represent whole numbers up to 1,000,000 using place value concepts. They will understand the value of each digit in a number.

Students will measure and estimate quantities using units of grams, kilograms, and liters. They will also solve problems involving these units.

Students will tell and write time to the nearest minute and solve problems involving addition and subtraction of time intervals in minutes. This builds on earlier time-telling skills.

Students will find the area of a rectangle with whole-number side lengths by tiling it and by showing that the area is the same as would be found by multiplying the side lengths. This introduces the area formula.

Students will measure areas by counting unit squares (e.g., square cm, square m, square in, and square ft). They will understand that area is a two-dimensional measurement.

Students will solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, or finding an unknown side length.

Students will understand concepts of area measurement. They will understand that a square with side length 1 unit, called a unit square, has 1 square unit of area, and can be used to measure area.

Students will draw a scaled bar graph to represent a data set with several categories. They will understand how to use a scale to represent the data accurately.

Students will create and interpret picture graphs and bar graphs to represent data with up to four categories. They will use a scale where the interval is not one.