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Welcome to Divisibility Rules! – Basics of division explained – Division is sharing equally among groups. – Introduction to divisibility rules – Rules that help us know if a number can be divided without a remainder. – Understanding the usefulness of rules – They make division faster and easier. – Applying rules to numbers – Practice with examples like 10 ÷ 2 or 15 ÷ 3. | This slide introduces the concept of divisibility rules to fourth-grade students. Begin by explaining division as the process of splitting a number into equal parts or groups. Introduce divisibility rules as shortcuts that help us quickly determine if one number can be divided by another without leaving a remainder. Emphasize how these rules are helpful in simplifying math problems and making mental math more accessible. Provide examples of applying divisibility rules to familiar numbers to demonstrate their practical use. Encourage students to think of these rules as tools that will help them in more advanced math problems.

Divisibility by 2 – Rule for divisibility by 2 – Ends in 0, 2, 4, 6, or 8 – Examples of even numbers – 14, 26, 32 end with even digits – Practice with board numbers – Identify numbers ending in 0, 2, 4, 6, or 8 – Understanding even and odd – Even numbers are divisible by 2, unlike odd numbers | This slide introduces the concept of divisibility, specifically focusing on the rule for divisibility by 2. It’s important to explain that any number ending in 0, 2, 4, 6, or 8 is divisible by 2, which also makes it an even number. Provide examples like 14, 26, and 32 to illustrate this point. Engage the class by asking them to find numbers around the classroom or on the board that are divisible by 2. This activity will help solidify their understanding of even numbers and prepare them for recognizing patterns in divisibility. Encourage students to think of divisibility as a quick way to check if a number can be split into two equal parts without any leftovers.

Divisibility by 3 – Rule for divisibility by 3 – Sum digits to check divisibility – Add up all the numbers: 1+5+6 – Example: 123 is divisible by 3 – 1+2+3 equals 6, which is divisible by 3 – Practice: Is 156 divisible by 3? – Let’s add 1+5+6 together in class! | This slide introduces the concept of divisibility by 3. The rule is simple: if the sum of all the digits in a number is divisible by 3, then the whole number is divisible by 3. Start by explaining the rule, then show the example with 123. After explaining, engage the class with a practice question using the number 156. Ask the students to add the digits together and determine if the sum, and therefore the number itself, is divisible by 3. This exercise will help solidify their understanding of the divisibility rule for 3 and prepare them for more complex problems.

Divisibility by 4 – Rule for divisibility by 4 – Last two digits form a number divisible by 4 – Example: 312 is divisible – 12 is the last two digits and 12 ÷ 4 = 3 with no remainder – Class Exercise: Is 1024 divisible by 4? – Let’s check 1024 together in class! | This slide introduces the concept of divisibility specifically for the number 4. The rule is straightforward: if the last two digits of a number form a number that is divisible by 4, then the whole number is divisible by 4. For example, in the number 312, the last two digits are 12, which is divisible by 4, so 312 is divisible by 4. During the class exercise, guide students to apply this rule to the number 1024. Have them look at the last two digits, which are 24, and determine if 24 is divisible by 4. This exercise will help solidify their understanding of the divisibility rule for 4. Encourage students to work together and discuss their process for determining divisibility.

Divisibility by 5 – Rule for divisibility by 5 – Ends in 0 or 5 If the last digit is 0 or 5, it’s divisible by 5 – Examples: 20, 35, 45 20 ends in 0, 35 and 45 end in 5 – Activity: List numbers 1-100 Find and write all numbers divisible by 5 | This slide introduces the simple rule for checking divisibility by 5, which is suitable for fourth graders. The rule is straightforward: if a number ends in 0 or 5, it can be divided by 5 without leaving a remainder. Provide examples like 20, 35, and 45 to illustrate this rule. For the class activity, instruct students to create a list of numbers between 1 and 100 that are divisible by 5. This exercise will help reinforce their understanding of the rule and provide practice in identifying patterns within numbers. Possible variations of the activity could include pairing students to find numbers together, using a number chart to mark divisible numbers, or challenging students to find the sum of all numbers they list.

Divisibility Rules for 6, 9, and 10 – Divisibility rule for 6 – If a number is even and the sum of its digits is divisible by 3, then it’s divisible by 6. – Divisibility rule for 9 – Add up all the digits, and if that sum is divisible by 9, so is the number. – Divisibility rule for 10 – A number is divisible by 10 if it ends with a 0. | This slide introduces students to the divisibility rules for 6, 9, and 10. For 6, a number must meet both divisibility criteria for 2 (it must be even) and 3 (the sum of its digits is divisible by 3). For 9, it’s an extension of the rule for 3, but the sum of the digits must be divisible by 9. The rule for 10 is the simplest, as any number ending in 0 is divisible by 10. Use examples to illustrate each rule, such as 24 for divisibility by 6 (even and 2+4=6, which is divisible by 3), 27 for divisibility by 9 (2+7=9), and 40 for divisibility by 10 (ends in 0). Encourage students to practice these rules with different numbers to gain confidence.

Practice Time: Applying Divisibility Rules – Apply learned divisibility rules – Pair up and solve problems – Work together to divide numbers – Discuss solutions with your partner – Help each other understand the rules – Share findings with the class | This slide is designed to encourage active participation and collaboration among students. After teaching the divisibility rules, this activity will help reinforce their understanding by applying the rules to actual numbers. Have the students work in pairs to foster teamwork and peer learning. Each pair should solve a set of divisibility problems and then discuss their solutions together to ensure they both understand the process. Afterward, invite pairs to share their answers with the class, which will help in assessing their comprehension and provide an opportunity for group discussion. As a teacher, prepare to guide the students through the problems if they struggle and to affirm correct reasoning. Possible activities could include dividing numbers by 2, 3, 5, and 10, identifying patterns, and creating their own divisibility problems for others to solve.

Class Activity: Divisibility Challenge – Form groups for a number challenge – List numbers divisible by 2, 3, 4, 5, 9, 10 – Present and explain the divisibility rules – Share how you used the rules to find your numbers – The group with the most correct numbers wins! | This activity is designed to encourage collaboration and application of divisibility rules. Divide the class into small groups and provide them with a list of numbers or have them create their own. Each group will use divisibility rules to identify numbers that are divisible by 2, 3, 4, 5, 9, and 10. After the activity, each group will present their findings and explain how they applied the rules. This will help reinforce their understanding of the concept. The teacher should prepare by reviewing the rules and have examples ready to demonstrate. Possible activities for different groups could include finding patterns with even and odd numbers, creating a song or rhyme to remember the rules, or using manipulatives to visualize division.

Wrapping Up: Divisibility Rules – Recap divisibility rules – Review rules for 2, 3, 5, 10 – Why rules matter for factors – Helps find factors and multiples easily – Homework: Divisibility worksheet – Practice applying rules on worksheet | As we conclude today’s lesson, it’s important to review the divisibility rules for 2, 3, 5, and 10 to reinforce the students’ understanding. Emphasize the significance of these rules in simplifying the process of finding factors and multiples, which is a foundational skill in mathematics. For homework, students are assigned a worksheet that provides practice problems to apply the divisibility rules they’ve learned. This will not only help them memorize the rules but also understand how to use them in different scenarios. Encourage students to attempt the worksheet independently and remind them to bring any questions they have to the next class for clarification.