## Multiplication Mania

### Kathy Pajak

#### Description

The student will learn to multiply by one-digit whole numbers.

#### Objectives

The student understands and explains the effects of addition, subtraction, and multiplication on whole numbers, decimals, and fractions, including mixed numbers, and the effects of division on whole numbers, including the inverse relationship of multiplication and division.

The student adds, subtracts, and multiplies whole numbers, decimals, and fractions, including mixed numbers, and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

The student describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols.

#### Materials

-Internet accessible computers
-Practice pages exploring multiplication that include real-world problems
-Paper plates (2 per student)
-Round head fasteners (brads)
-On-line student lesson, -Spinning Wheels-
-Copies of activity sheet for on-line student lesson,-Spinning Wheels- (download from Associated File)
-Pencils
-Multiplication charts

#### Preparations

(Download construction procedures and drawings from Associated File)
1. Teacher will prepare one set of paper plates as follows:

Divide the paper plate into 8 equal pie shapes using a ruler and drawing evenly spaced lines.

On the edge of the paper plate, in each pie piece, cut out a rectangle approximately 1/2- in height by 1- in length.

2. Teacher will prepare second set of paper plates as follows:

(This is the bottom plate, which will contain the students' answers to their chosen multiplication facts.)

Again, divide the paper plate into 8 equal pie shapes using a ruler and drawing evenly spaced lines.

Place this paper plate on the bottom and the paper plate containing the pre-cut holes on top. Using a pencil, outline one rectangle in each pie piece. (This will contain the students' answers.)

3. Set up the activity center with prepared paper plates, pencils, brads and multiplication charts.

4. Turn on computers and load the Web activity -Spinning Wheels,-.

#### Procedures

Whole Group activity

1. The teacher will introduce multiplication by using examples of repeated addition.

Example: 3 x 4 = 12

4 + 4 + 4 = 12

Example: 4 x 3 = 12

3 + 3 + 3 + 3 = 12

2. Practice examples of multiplication facts by using repeated addition.

3. The teacher will discuss skip counting.

Example: Counting by two's is called skip counting because you skip every second number.
4. Have students skip count from 0 to 50 by two's, three's, four's and five's.

5. Have students skip count from 0 to 100 by ten's.

Divide students into three rotating groups.

Group 1:
Complete multiplication practice work at desks that includes real-world problems and a space for students to explain how they multiplied to solve problems. Students can solve multiplication problems using number sentences. When finished, turn work in to be checked.

Group 2:
Complete the Web lesson, -Spinning Wheels- at the computer workstations. After the lesson, complete the activity sheet (see Associated File) and turn it in to be checked.

Group 3:
Complete the Multiplication Mania activity at an activity center.

The Multiplication Mania activity is described below (download construction drawings and procedures from Associated File):

1. Each student will take two paper plates (one with pre-cut holes and one with no holes) and one round head fastener (brad).

2. On the paper plate with the holes, each student will write 8 multiplication facts of his or her choosing on the lines next to the holes. (Encourage students to choose multiplication facts that are difficult for him or her.)

3. On the paper plate with no holes, each student will write the corresponding answer to each multiplication fact on the pre-drawn lines. Please have each student check his or her answers with the multiplication chart or manipulatives.

4. Each student will put the paper plate with the multiplication facts on top of the paper plate, which contains the answers, and attach with the round head fastener (brad).

5. Each student may share his or her Multiplication Mania spinning wheel with a partner.

Wrap-Up:

When all rotations have been completed, class will come back together and discuss what they have learned about multiplication by repeated addition and skip counting.

#### Assessments

1. Assessment criteria for the completed practice page on multiplication:
Students
-demonstrate the meaning of multiplication using number sentences
-explain how to multiply to solve real-world problems

2. Assessment criteria for the on-line student lesson, -Spinning Wheels-:
Students
-identify the missing parts in the multiplication pattern
-describe the pattern used to find the missing parts
-continue the pattern successfully
-create a new pattern for another student to solve

Use this formative assessment to re-teach and guide further multiplication lessons.

#### Extensions

Students could solve the multiplication problems by using manipulatives and drawing pictures as well as the number sentences to provide more concrete experiences.

#### Web Links

Web supplement for Multiplication Mania
Spinning Wheels

#### Attached Files

Construction and procedures for "Spinning Wheels" and Multiplication Mania.     File Extension: pdf