Three Numbers, Four Facts: Multiplication and Division Fact Families

About This Resource

A complete Grade 3 math pack on multiplication and division fact families. Students see how three numbers make two multiplication facts and two division facts (3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4, 12 ÷ 4 = 3), use arrays to show the link, use known multiplication facts to divide, find missing numbers and solve word problems. Includes slides with worked examples, a lesson plan, worksheet, quiz, homework, flashcards, a rubric and answer keys.

Overview

Multiplication and division are inverse operations: one undoes the other. A fact family is a set of four related facts made from the same three numbers. An array of 3 rows of 4 shows all four: 3 × 4 = 12 and 4 × 3 = 12 (rows and columns), and 12 ÷ 3 = 4 and 12 ÷ 4 = 3 (sharing into rows or columns). Students build arrays, write complete fact families, use a multiplication fact they know to solve a division fact (What times 6 makes 30?), find missing numbers in number sentences and solve word problems about equal groups.

Resource Details

Subject: Math
Topic: Multiplication and Division Fact Families
Category: Multiplication & Division
File Type: PDF
File Size: 260.1 KB
Published: 13 Nov 2026
Downloads: 0

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Grade 3 math (ages 8–9) 50 minutes Multiplication facts division arrays inverse operations problem solving

Learning Objectives

Write the four facts in a multiplication and division fact family.
Use multiplication facts to solve division problems.
Find missing numbers and solve equal-group word problems.

How to Use This Resource

Start with the slides: show an array of 3 rows of 4 counters. Ask: "What multiplication and division facts can you see?"
Teach fact families with arrays and the worked examples, then do worksheet activities 1 and 2 together.
Students complete activities 3 to 6, then use the quiz and send the homework page home.

Classroom Activity Ideas

Array builders: students build an array with counters and write its fact family.
Fact family houses: students write three numbers on the roof and four facts in the windows.
Missing number race: teams solve ____ × 6 = 42 using fact families.

Differentiation

Support: use counters and focus on the 2, 5 and 10 times tables. Challenge: students write fact families for larger facts (7 × 8 = 56) and explain why 0 cannot be shared into 0 groups.

Assessment

Use the worksheet and quiz to check fact families and division. Use the rubric while students explain arrays and missing numbers.

Teacher Tips

Students often write 4 ÷ 12 instead of 12 ÷ 4. Remind them that in division the biggest number (the product) comes first. Arrays make the link concrete: turning the array shows that multiplication can be done in any order.

What's Included

10-page printable PDF lesson pack: teacher lesson plan with timings, materials and differentiation
Key vocabulary list (6 words with meanings and examples)
Student worksheet (6 activities)
Quiz / assessment (3 parts)
Homework practice page
Printable flashcards: 6 A5 picture cards (separate PDF)
Assessment rubric (4 levels)
Lesson slides (editable PowerPoint)
Editable Word version of all student pages
Complete answer key (also as a separate PDF)