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Welcome to Factors!: Exploring Factors – Understanding what factors are – Factors are numbers we multiply to get another number. – Factors’ role in mathematics – They help simplify fractions, find divisors, and solve problems. – How to find a number’s factors – Use division to see if a number divides another without remainder. – Real-world applications of factors – Factors are used in grouping objects and in sharing things equally. | Begin the lesson by explaining that factors are the building blocks of numbers, much like how letters form words. They are the numbers you can multiply together to get another number. Emphasize the importance of factors in various areas of math, such as simplifying fractions or finding common divisors. Demonstrate how to find factors of a number by using division, checking if a number divides evenly into another. Connect the concept to real-life situations, such as dividing a set of apples evenly among friends, to make the idea more tangible for the students. Encourage the students to think of factors as a way to break down numbers into smaller parts, which can be very useful in problem-solving.

Understanding Factors – What are factors? – Numbers that multiply to give another number – Example: Factors of 6 – 1, 2, 3, and 6 multiply to make 6 – Activity: Find factors of 10 – Work with a partner to list factors of 10 | Begin the lesson by explaining that factors are numbers that can be multiplied together to result in another number. Use 6 as an example to show that 1×6 and 2×3 both result in 6, so 1, 2, 3, and 6 are factors of 6. For the class activity, pair students up and have them identify all the factors of 10. Provide guidance on how to approach the problem and encourage them to check each other’s work. Possible activities include using multiplication tables, creating factor trees, or systematically testing numbers to see if they are factors of 10. This exercise will help solidify their understanding of factors through collaboration and practice.

Finding Factors of a Number – What are factors? – Multiplication pairs as factors – Two numbers multiplied to get another number – Example: Factors of 12 – 1×12, 2×6, 3×4 are factor pairs of 12 – Practice finding factors – Use multiplication to find factors of different numbers | This slide introduces the concept of factors in mathematics. Begin by explaining that factors are numbers we can multiply together to get another number. Emphasize the use of multiplication pairs to find all the factors of a given number. For example, demonstrate with the number 12, showing that 1×12, 2×6, and 3×4 are all pairs that result in 12, thus 1, 2, 3, 4, 6, and 12 are all factors of 12. Encourage students to practice by finding factors of different numbers, starting with smaller ones and gradually increasing in difficulty. This activity helps students understand the concept of factors and prepares them for more complex topics like least common multiples and greatest common divisors.

Exploring Factor Pairs – Understanding factor pairs – Two numbers that multiply to a target number – Example: Factor pairs of 16 – (1, 16), (2, 8), and (4, 4) are factor pairs of 16 – Practice finding factor pairs – Write factor pairs for 20 – List all pairs that multiply to get 20 | This slide introduces the concept of factor pairs to the students. Begin by explaining that a factor pair consists of two numbers that, when multiplied together, result in a given target number. Use 16 as an example to show how to find factor pairs by starting with 1 and the number itself and then finding other pairs that multiply to 16. For the practice activity, instruct students to write down all the factor pairs for the number 20. This exercise will help them understand the concept of factors through hands-on practice. Encourage students to check their work by multiplying the pairs to ensure they equal 20. This activity will reinforce their multiplication skills and understanding of factors.

Prime and Composite Numbers – What are Prime Numbers? – Numbers with only two factors: 1 and itself, e.g., 2, 3, 5 – What are Composite Numbers? – Numbers with more than two factors, e.g., 4 (1, 2, 4), 6 (1, 2, 3, 6) – Identifying Prime vs Composite – Determine if 7 and 9 are prime or composite – Examples: 7 and 9 – 7 has only two factors (1, 7) so it’s prime; 9 has three factors (1, 3, 9) so it’s composite | This slide introduces the concept of prime and composite numbers, which is fundamental in understanding factors. Prime numbers are the building blocks of all numbers and have exactly two distinct factors, 1 and themselves. Composite numbers can be divided evenly by more numbers than just 1 and themselves. Use examples like 7 and 9 to illustrate the difference. 7 is prime because no other number divides it without a remainder, while 9 is composite because it can be divided evenly by 3. Encourage students to think of other examples and to practice identifying whether numbers are prime or composite.

Factors in the Real World – Factors help in equal grouping – Example: Sharing 24 apples – If we have 24 apples, how can we share them among 2, 3, 4, or 6 friends equally? – Discuss factors for division – Knowing factors of 24 helps us divide without leftovers. – Applying factors in daily life | This slide aims to show the practical application of factors in everyday situations, such as sharing items equally among a group. Start by explaining that factors are numbers we can multiply together to get another number. Then, use the example of 24 apples to illustrate how knowing the factors of 24 can help us figure out all the different ways we can divide the apples equally among friends. Encourage students to think about other situations where knowing factors would be useful, like creating equal-sized teams or dividing up snacks. This will help them understand the concept of factors beyond abstract numbers and see the value in learning it.

Class Activity: Factor Bingo! – Receive your Factor Bingo card – Listen for the called number – Mark all factors of that number – Factors are numbers that divide without remainder – Shout ‘Bingo!’ when you get five in a row – We’ll verify the factors as a class | This interactive game is designed to help students practice identifying factors in a fun and engaging way. Distribute pre-made bingo cards with numbers to each student. When you call out a number, students should mark all the numbers on their card that are factors of the called number. This activity will reinforce the concept of factors and divisibility. Be prepared with a list of numbers and their factors to assist in checking the students’ bingo claims. To accommodate different learning speeds, consider having multiple winners or playing several rounds. Encourage students to help each other and discuss why a number is or isn’t a factor of the called number.

Review and Homework: Identifying Factors – Recap: Factors of a number – Factors are numbers you can multiply to get another number. – Homework: Factor pairs for 15, 18, 25 – List each pair of numbers that multiply to get 15, 18, and 25. – Next Class: Multiples & Divisibility – We’ll learn how to find multiples and apply divisibility rules. – Understanding factors is crucial | Begin with a brief review of factors, ensuring students recall that factors are numbers that divide into another number without leaving a remainder. For homework, students should find all factor pairs for the numbers 15, 18, and 25, reinforcing their understanding of the concept. In the next class, we will build on this foundation by exploring multiples and the rules of divisibility, which are key concepts in number theory and important for their mathematical development. Encourage students to think of factors as building blocks for numbers, which can be combined in different ways to create new numbers.