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Welcome to Integers! – Understanding integers – Integers include positive, negative numbers, and zero. – Integers in real life – Temperatures, bank balances, and elevations. – Review: adding/subtracting two integers – Use a number line or the ‘keep-change-change’ rule. – Adding/subtracting three or more – Apply rules to larger sets of integers. | This slide introduces students to the concept of integers and their application in real life. Begin by explaining what integers are, including both positive and negative numbers, as well as zero. Provide relatable examples such as temperatures, bank balances, and elevations to illustrate how integers are used daily. Review the basic rules for adding and subtracting two integers, possibly revisiting the number line method or the ‘keep-change-change’ rule for subtraction (keep the first number, change the subtraction to addition, change the second number to its opposite). Then, transition to the concept of adding and subtracting three or more integers, emphasizing that the same rules apply but they will be extended to larger sets of numbers. Encourage students to think of situations where they might have to add or subtract more than two integers.

Adding Integers – Rules for adding integers – Same signs add and keep, different signs subtract – Visualize with a number line – Use the number line to add +3, -2, +1 – Step-by-step addition example – Add: +3 + (-2) + (+1) = +2 – Practice with class activity | When adding integers, remember if the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the smaller number from the larger and keep the sign of the larger number. Use a number line to help students visualize the process of adding integers, which can be particularly helpful for visual learners. Walk through an example such as +3 + (-2) + (+1), illustrating each step on the number line. Conclude with a class activity where students practice adding sets of three integers, encouraging them to use the rules and number line method. Provide immediate feedback and support as needed.

Subtracting Integers – Rules for integer subtraction – To subtract, add the opposite of the number – Subtraction as adding a negative – Subtracting a number is the same as adding its negative – Step-by-step subtraction example – Example: 5 – (-3) – 2 = 5 + 3 – 2 = 8 – 2 = 6 | This slide aims to clarify the concept of subtracting integers by understanding the rules and relating subtraction to the addition of a negative. Start by explaining that to subtract an integer, we add the opposite of that integer. For example, subtracting -3 is the same as adding 3. Provide a step-by-step example with three integers, showing how to convert subtraction into addition of the opposite number and then combining the integers accordingly. Encourage students to practice with different sets of integers to become comfortable with the process. This foundational skill will be crucial for solving more complex algebraic expressions in the future.

Combining Addition & Subtraction of Integers – Rules for adding & subtracting – Add same signs, keep sign; add diff signs, subtract & keep sign of larger – Solve mixed integer problems – Apply rules to solve -5 + 3 – 2 + 8 – Example: Mixed operations – Calculate -7 + 9 – 3 + 2 step by step – Practice with class activity | This slide aims to consolidate the students’ understanding of adding and subtracting integers by combining both operations. Start by reviewing the rules for addition and subtraction separately, then demonstrate how to apply these rules when the operations are mixed. Use the example to show step-by-step calculation, ensuring to highlight the importance of keeping track of the signs. Conclude with a class activity where students solve similar problems, promoting active learning and reinforcing the concept.

Practice Problems: Adding & Subtracting Integers – Let’s solve problems together – Apply learned concepts – Use examples to reinforce integer operations – Discuss complex problem strategies – Break down steps for clarity – Share solutions and methods | This slide is designed to engage students in active problem-solving, applying the concepts of adding and subtracting integers. Start by working through problems as a class to demonstrate the process. Encourage students to apply what they’ve learned to new examples, reinforcing their understanding. Discuss various strategies for tackling complex problems, such as breaking them into smaller, more manageable parts or using number lines. Finally, create an interactive environment where students can share their solutions and methods, fostering a collaborative learning atmosphere. Provide guidance and support throughout the activity, ensuring that each student can follow along and participate.

Class Activity: Integer Operations Relay – Form teams for the relay – Solve integer problems step-by-step – Work on addition and subtraction of integers – Each member completes a problem step – Collaborate to ensure accuracy at each step – First team to finish wins a point | This activity is designed to encourage teamwork and reinforce the concept of adding and subtracting integers. Divide the class into small groups, each group representing a team. Provide each team with a set of integer problems that require multiple steps to solve. Each team member is responsible for solving one step of the problem before passing it to the next member. This relay format promotes collaboration and allows students to practice integer operations in a fun, competitive environment. Ensure that each problem is structured so that every team member gets a turn. The first team to complete their set of problems accurately earns a point. Consider having multiple rounds to give teams a chance to improve their strategies and cooperation.

Wrapping Up: Integers and Your Homework – Recap: Adding & Subtracting Integers – Review the rules for adding and subtracting multiple integers. – Mastering Integer Operations – Understanding integers is crucial for advanced math topics. – Homework: Practice Worksheet – Complete the worksheet to reinforce today’s lesson. – Keep Practicing for Mastery | As we conclude today’s lesson on adding and subtracting three or more integers, it’s important to review the key rules and steps we’ve learned. Mastery of integer operations is essential as it forms the foundation for algebra and higher-level mathematics. For homework, students are assigned a practice worksheet that includes a variety of problems to ensure they are comfortable with the concepts. Encourage students to attempt all problems and remind them that practice is key to mastering integer operations. The worksheet should be designed to cover a range of difficulties, allowing students to challenge themselves progressively.