In this unit, students begin to extend their knowledge of multiplication. Students will learn that a whole number is a multiple of its factors, and that numbers greater than 1 can be identified as prime or composite. Students will also build on their knowledge of patterns as they generate and analyze patterns to find features based on their knowledge of factors and multiples. One common misconception is the belief that all odd numbers are prime.
Key Concepts:
 A whole number is a multiple of its factors.
 A prime number is a number whose only factors are 1 and itself. A composite number is a number that has more than two factors.
 We can create patterns according to a rule, and find features of the pattern that are not explicit in the rule itself.
Prior Knowledge Needed:
 Determine an unknown whole number in a multiplication or division equation relating three whole numbers; (Grade 3, Unit 12; 3.OA.A.4)
 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations; (Grade 3, Unit 8; 3.OA.D.9)
Units on the Horizon:
 Multiplicative comparison problems; (Grade 4, Unit 11, Unit 14)
 Generate and analyze patterns; (Grade 4, Unit 13)
 Exploring the coordinate plane; (Grade 5, Unit 14)
Lessons

Lesson objective: Understand that a whole number is a multiple of its factors. Students bring prior knowledge of using multiplication and division to solve word problems from 3.OA.A.3. This prior knowledge is extended to factors and multiples as student...

Lesson objective: Find factors of a whole number using area models or a tchart. This lesson helps to build procedural skill with finding factors of whole numbers. Area models are used here because it supports students' knowledge of multiplication repre...

Lesson objective: Find multiples by skipcounting This lesson helps to build fluency with finding multiples of whole numbers. Skipcounting is used here because it highlights all of the multiples of a factor with a strategy students have used previously...

Lesson objective: Understand that prime numbers are whole numbers greater than 1 that have only 2 factors. Understand that composite numbers are whole numbers greater than 1 with more than 2 factors. Students bring prior knowledge of multiplication and ...

Lesson objective: Use an area model to determine if a number is prime or composite. This lesson helps to build procedural skill with determining if a number is prime or composite. An area model is used here because it connects students' knowledge of mul...

Lesson objective: Use a factor chart to determine if a number is prime or composite. This lesson helps to build procedural skill with determining if a number is prime or composite. A tchart is used here because it supports students' work with factor pa...

Lesson objective: Apply knowledge of factors and prime and composite numbers to solve problems in realworld situations. This lesson provides an opportunity for students to apply their knowledge and understanding of prime and composite numbers to a real...

Lesson objective: Create patterns using a given rule and find features of patterns. Students bring prior knowledge of arithmetic patterns from 3.OA.D.9. This prior knowledge is extended to creating patterns and analyzing those patterns in order to make ...

Lesson objective: Generate patterns using the four operations and make observations on the features of the pattern. This lesson helps to build fluency with generating patterns and making observations on patterns. Pattern rules with variables are used he...

Lesson objective: Apply knowledge of using a given rule to create a pattern to a reallife problem. This lesson provides an opportunity for students to apply their knowledge and understanding of patterns to a reallife situation. Students are asked to u...