Division
Lessons in this chapter
About Division
Division in 3rd grade stays deliberately short, because the real aim is to tie it to the multiplication facts just learned rather than to teach a new procedure.
Divide Using Equal Groups and Number Lines keeps both meanings of division in play. Sharing twelve between three, and finding how many threes fit into twelve, are different questions with the same answer, and the number line shows the second clearly as repeated jumps backwards.
Relate Multiplication and Division is the lesson that does the work. Every division fact is a multiplication fact read backwards, so 56 ÷ 7 is answered by asking what times 7 makes 56. A child who has just finished the tables chapter already holds every answer they need.
Solve Real World Problems on Division puts it in context. Remainders, long division and dividing larger numbers all come in 4th grade, which is why this chapter can stay at three lessons and concentrate on meaning.
Divide Using Equal Groups and Number Lines, Relate Multiplication and Division and Solve Real World Problems on Division are three lessons and three worksheets, worked in the page and marked as you go. The chapter stays short because the aim is to tie division to the tables just learned rather than to teach a new procedure. All three are free to practice online.
Frequently asked questions
Dividing with equal groups and on a number line, relating every division fact to a multiplication fact, and then real world division problems. Remainders, long division and larger numbers all wait until 4th grade. It sits in Operations and Algebraic Thinking (3.OA), the same domain as the multiplication chapter before it.
It is the same fact read backwards. 56 ÷ 7 asks what times 7 gives 56, so a child who knows the tables already knows the division facts.
Sharing, where 12 ÷ 3 means 12 split between 3. And grouping, where it means how many 3s fit into 12. Same answer, different question.
Because it makes the grouping meaning visible: jump backwards in steps of 3 from 12 and count the jumps. It also prepares the ground for fractions.
No. Long division, remainders and dividing larger numbers all arrive in 4th grade. 3rd grade establishes the meaning and the link to multiplication.
Because most of the work was done in the multiplication chapter. If the tables are secure, division facts come almost free.