Adding Three or More Integers – What are integers? – Integers include whole numbers and their negatives – Steps to add integers – Line up, same signs add, different signs subtract – Why learn about integers? – Integers are key in math and real-life calculations – Practice problem – Add: -3 + 7 + (-2). Start with the highest value | Begin the lesson by defining integers and ensuring students understand that they include both positive and negative whole numbers, as well as zero. Explain the rules for adding integers: lining them up, adding when they have the same sign, and subtracting when they have different signs, always keeping the sign of the larger number. Emphasize the importance of integers in various aspects of mathematics and real-life situations, such as temperatures below zero, bank transactions, and elevations. End with a practice problem to apply the concepts learned. Encourage students to solve it step by step, starting with the highest absolute value and combining the integers accordingly.

Understanding Integers – Define integers – Integers include whole numbers and their negatives – Positive vs. negative numbers – Positive numbers are above zero, negative are below – Real-life integer examples – Temperatures, bank balances, and elevations – Adding integers – Combine integers by adding or subtracting values | Integers are the set of whole numbers and their opposites, including zero. It’s crucial for students to differentiate between positive and negative numbers, as this understanding is foundational for operations with integers. Provide relatable examples such as temperature changes, bank account deposits and withdrawals, or above/below sea level measurements to illustrate the concept of integers in real life. When adding integers, use a number line to help visualize the process, and reinforce the concept that adding a negative number is the same as subtracting its positive counterpart. Encourage students to practice with real-world scenarios to solidify their understanding.

Rules for Adding Integers – Adding same sign integers – When integers have the same sign, add their absolute values. – Adding different sign integers – If integers have different signs, subtract the smaller absolute value from the larger one. – Keep the larger number’s sign – The result takes the sign of the larger absolute value. – Visualize with a number line – A number line helps to understand the addition process. | This slide introduces students to the fundamental rules for adding integers. When adding integers with the same sign, we simply add their absolute values and keep the common sign. For integers with different signs, we find the absolute values, subtract the smaller from the larger, and keep the sign of the integer with the larger absolute value. Using a number line can be a very effective visual aid for students to understand these concepts. It helps them to see the distance between numbers and the direction in which we move when adding positive or negative integers. Encourage students to practice these rules with various examples and use a number line for better comprehension.

Adding Positive Integers – Simple addition example – Example: 3 + 5 + 2 equals 10 – Number line addition visualization – Use a number line to show how we move to the right for each number we add – Practice Problem: 4 + 7 + 1 – Add the numbers step by step and find the sum | This slide introduces students to the concept of adding positive integers. Start with a simple example, 3 + 5 + 2, and show the sum of 10. Explain how each addition step can be visualized on a number line, emphasizing that adding means moving to the right. For the practice problem, guide students through adding 4 + 7 + 1 by breaking it down into smaller steps: first add 4 + 7 to get 11, then add 1 to get the final sum of 12. Encourage students to visualize each step on a number line. This activity will help reinforce their understanding of addition and prepare them for more complex problems.

Adding Negative Integers – Example: -3 + (-6) + (-2) – Sum of negative numbers gets more negative – Steps to add negative numbers – Line up the integers and add the absolute values – Practice Problem: -4 + (-5) + (-3) – Apply the steps we learned to solve this problem – Discuss the solution together | This slide introduces students to the concept of adding multiple negative integers. Start with a clear example and explain that when we add negative numbers, the value becomes more negative. Show the steps to add negative numbers: lining up the integers and adding their absolute values, then applying the negative sign. The practice problem allows students to apply these steps. After attempting the problem, discuss the solution as a class to ensure understanding. Emphasize that the rules for adding negative numbers are consistent, no matter how many numbers are being added.

Adding Integers with Different Signs – Understand adding integers – Example: -7 + 5 + 3 – Start with -7, add 5, then add 3. The sum is 1. – Steps for different signs – Find pairs of numbers to combine first, then add or subtract. – Practice: -6 + 8 + (-4) – Apply the steps to solve this problem. | This slide introduces students to the concept of adding integers with different signs. Begin by explaining that when adding integers, we combine positive and negative numbers. Use the example -7 + 5 + 3 to illustrate this: start at -7 on the number line, move 5 steps to the right (because we’re adding a positive number), and then 3 more steps to the right, ending at 1. For the steps, guide students to look for pairs of numbers that are easier to combine first, such as a positive and a negative number that are close in value. Encourage them to use a number line if needed. The practice problem -6 + 8 + (-4) is a chance for students to apply these steps. In the next class, review the practice problem, discuss different strategies students used, and correct any misconceptions.

Let’s Practice Together: Adding Integers Game – Engage in an Adding Integers Game – Pair up and solve addition problems – Discuss solutions with your partner – Did you get the same answers? Where did you differ? – Share your findings with the class – Be ready to explain how you solved the problems | This interactive class activity is designed to make learning fun and collaborative. Students will pair up and work together to solve a series of integer addition problems. This game-like approach encourages teamwork and communication. As they work through the problems, they should discuss their strategies and compare answers, helping each other understand any mistakes. After completing the problems, each pair will share their answers with the class, fostering a sense of community and collective learning. The teacher should circulate the room, offering guidance and ensuring that each pair is on track. Possible variations of the activity could include a timed challenge, a ‘relay race’ where each student solves one part of a problem before passing it on, or using physical objects to represent positive and negative integers for a more tactile experience.

Class Activity: Integer Addition Relay – Form teams for the relay – Line up at the board in turns – Solve addition problems individually – Each student adds one integer to the sum – First team with correct answers wins! – Verify each step for accuracy | This interactive class activity is designed to encourage teamwork and reinforce the concept of adding integers. Divide the class into small groups and have each team line up at the board. Students will take turns adding one integer to the running total on the board. It’s important to ensure that each student understands the process of adding integers, including dealing with positive and negative numbers. The first team to correctly complete their set of addition problems wins the relay. As a teacher, you can prepare different sets of integer addition problems for each team to prevent copying and to add variety. Encourage students to check each other’s work for mistakes and to cheer on their teammates. This activity promotes a fun and collaborative learning environment.

Homework: Mastering Integer Addition – Complete the practice worksheet – Add three or more integers from the worksheet – Tomorrow: Learn to subtract integers – Review today’s lesson – Go over your notes and try extra problems – Feel free to ask questions now – Any doubts? Now’s the time to clarify! | The homework assignment is a worksheet that focuses on adding three or more integers, reinforcing today’s lesson. Encourage students to attempt all problems and check their answers with the key provided. Prepare them for the next class by reminding them that we will be learning about subtracting integers, which builds on their understanding of addition. Reviewing today’s material is crucial for solidifying their skills. End the class by opening the floor for any questions, ensuring that students leave with a clear understanding of the concepts taught. Provide guidance on how to approach the worksheet and encourage them to form study groups if they find it helpful.