Exploring Greatest Common Factor

Exploring Greatest Common Factor
1 / 15
suivant
Slide 1: Diapositive
Math7th Grade

Cette leçon contient 15 diapositives, avec quiz interactifs et diapositives de texte.

time-iconLa durée de la leçon est: 45 min

Éléments de cette leçon

Exploring Greatest Common Factor

Slide 1 - Diapositive

Cet élément n'a pas d'instructions

Learning Objective
Understand the concept of greatest common factor and apply it to solve problems.

Slide 2 - Diapositive

Cet élément n'a pas d'instructions

What do you already know about finding common factors?

Slide 3 - Carte mentale

Cet élément n'a pas d'instructions

Introduction to Common Factors
Common factors are numbers that divide two or more numbers exactly. For example, the common factors of 12 and 18 are 1, 2, 3, and 6.

Slide 4 - Diapositive

Cet élément n'a pas d'instructions

Defining Greatest Common Factor
The greatest common factor (GCF) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder.

Slide 5 - Diapositive

Cet élément n'a pas d'instructions

Finding the GCF
To find the GCF, list all the factors of each number and identify the highest number that appears in all the lists.

Slide 6 - Diapositive

Cet élément n'a pas d'instructions

GCF of Prime Numbers
When finding the GCF of prime numbers, the GCF is always 1 since prime numbers have only two factors – 1 and the number itself.

Slide 7 - Diapositive

Cet élément n'a pas d'instructions

GCF Examples
Example 1: Find the GCF of 24 and 36. List factors: 24 (1, 2, 3, 4, 6, 8, 12, 24) and 36 (1, 2, 3, 4, 6, 9, 12, 18, 36). The GCF is 12.

Slide 8 - Diapositive

Cet élément n'a pas d'instructions

GCF in Real Life
The concept of GCF is used in various real-life scenarios, such as simplifying fractions, reducing ingredients in recipes, and optimizing resources.

Slide 9 - Diapositive

Cet élément n'a pas d'instructions

GCF and LCM Connection
The GCF and the least common multiple (LCM) are related. The product of the GCF and LCM of two numbers is equal to the product of the two numbers themselves.

Slide 10 - Diapositive

Cet élément n'a pas d'instructions

Interactive Activity
Divide students into groups and provide them with pairs of numbers. Instruct them to find the GCF using the methods learned in the lesson.

Slide 11 - Diapositive

Cet élément n'a pas d'instructions

Summary and Recap
Summarize the key points learned about the greatest common factor and allow students to ask any remaining questions.

Slide 12 - Diapositive

Cet élément n'a pas d'instructions

Write down 3 things you learned in this lesson.

Slide 13 - Question ouverte

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.

Slide 14 - Question ouverte

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.

Slide 15 - Question ouverte

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.