Teaching Multiplication and Division

• Maths
• Primary Education

Teaching Multiplication and Division

Learning Objectives

At the end of the lesson, you will be able to compare and reason about the size of products without actual multiplication. At the end of the lesson, you will understand why repeated addition is not efficient for larger multiplication problems. At the end of the lesson, you will be able to use doubling to find the product of two numbers based on a known fact. At the end of the lesson, you will be able to analyze different strategies to find the square of a number. At the end of the lesson, you will be able to apply multiplication to solve real-world problems involving combining equal groups. At the end of the lesson, you will be able to identify the division fact that relates to a given multiplication fact. At the end of the lesson, you will be able to create multiplication and division sentences from a visual representation. At the end of the lesson, you will be able to compare quotients without actual division.

What do you already know about multiplication and division?

Comparing Products without Multiplication

Students understand and apply various mathematical concepts related to multiplication and division. They compare the size of products without actual multiplication.

Efficiency of Repeated Addition in Multiplication

Explore the inefficiency of repeated addition for larger products.

Doubling Strategy for Multiplication

Learn the doubling strategy to find products.

Analyzing Strategies for Squaring Numbers

Analyze different strategies for squaring numbers.

Multiplication in Real-World Problems

Apply multiplication to solve real-world problems involving combining equal groups.

Relating Multiplication Facts to Division

Relate multiplication facts to division.

Creating Sentences from Visual Representations

Create multiplication and division sentences from a visual representation.

Comparing Quotients without Division

Compare quotients without actual division.

Definitions

Product: The result of multiplying two or more numbers. Repeated Addition: A method of finding the product of two numbers by adding one number to itself repeatedly the number of times indicated by the other number. Doubling Strategy: A multiplication method that involves doubling a known fact to find a new product. Square of a Number: The product of a number multiplied by itself. Real-World Problems: Scenarios or questions that apply mathematical concepts to everyday situations. Multiplication Fact: A known product of two numbers, often memorized to facilitate quicker calculations. Division Sentence: A mathematical statement that divides a number by another number to result in a quotient. Visual Representation: A graphical or pictorial display of mathematical concepts.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.