Your next great Lessn starts here.

Operations with Integers: Add & Subtract – Understanding integers – Integers include positive, negative numbers, and zero. – Adding & subtracting integers – Use rules for adding & subtracting to solve problems. – Real-life integer applications – Temperature changes, bank transactions are examples. – Practice with word problems | This slide introduces the concept of integers and focuses on adding and subtracting them through word problems. Integers are the set of whole numbers and their opposites, including zero. When adding integers, same signs sum up while different signs subtract. Subtraction can be thought of as adding the opposite. Real-life applications, such as temperature changes (e.g., a drop of 5 degrees) or bank transactions (e.g., depositing and withdrawing money), make the concept relatable. Encourage students to think of other examples where they use integer operations. The class will engage in solving word problems to apply these concepts practically.

Understanding Integers in Math – 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 – Practice with integers – Use integers to solve everyday problems | Integers are the set of whole numbers and their opposites, including zero. They are fundamental in understanding mathematical concepts and are used to represent quantities that can be positive, negative, or neutral. Positive numbers represent quantities greater than zero, while negative numbers represent quantities less than zero. Real-life examples include temperatures (above/below freezing), bank balances (deposits/withdrawals), and elevations (above/below sea level). Encourage students to think of other examples where integers are used and to practice adding and subtracting them through word problems that mimic real-life situations.

Adding Integers: Rules and Examples – Understand rules for adding integers – Same signs add and keep, different signs subtract – Use a number line for addition – Visualize adding positive or negative steps – Example: 5 + (-3) – 5 steps forward, 3 steps back equals 2 – Practice with real-world problems | This slide introduces students to the concept of adding integers, an important skill in 7th-grade math. Start by explaining the rules for adding integers: 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 demonstrate how to add integers, showing that adding a positive number means moving to the right, while adding a negative number means moving to the left. Provide the example 5 + (-3) to illustrate this concept, where you start at 5 on the number line and move 3 steps back to land on 2. Encourage students to solve additional problems using these methods and to apply these skills to real-world scenarios where they might encounter positive and negative values.

Subtracting Integers: Rules and Examples – Rules for subtracting integers – Subtract by adding the opposite – Instead of subtracting, add the opposite number – Example: (-7) – 2 – (-7) + (-2) = -9 shows how subtraction changes to addition – Practice with word problems – Apply rules to solve real-world problems | This slide introduces the concept of subtracting integers, a key skill in 7th-grade math. Start by explaining the rules for subtracting integers, emphasizing that subtraction can be thought of as adding the opposite. For example, to subtract 2 from -7, students should think of it as adding the opposite of 2 (which is -2) to -7. Provide the example (-7) – 2 and show how it becomes (-7) + (-2) = -9. Encourage students to practice this concept with various word problems, reinforcing their understanding of integer operations in real-life contexts. The goal is for students to become comfortable with these operations and to recognize patterns in integer subtraction.

Adding Integers: Word Problems – Read and understand the problem – Grasp the scenario and what is being asked. – Identify integers to add – Find the numbers and their signs in the text. – Solve the problem step by step – Apply addition rules for integers methodically. – Check your solution – Verify the answer fits the problem context. | This slide is aimed at guiding students through the process of solving word problems that involve adding integers. Start by carefully reading the problem to understand the scenario and what is being asked. Next, identify the integers that need to be added, paying close attention to their signs (positive or negative). Then, solve the problem step by step, applying the rules for adding integers. Finally, check that the solution makes sense within the context of the problem. Encourage students to practice with examples, such as combining debts and credits in a bank account or calculating elevation gains and losses while hiking.

Subtracting Integers: Word Problems – Read the problem carefully – Understand what the question is asking – Find the integers to subtract – Look for keywords that indicate subtraction – Solve the problem step by step – Use a number line or integer rules to find the solution – Check your answer – Verify the solution fits the context of the problem | This slide is aimed at guiding students through the process of solving word problems that involve subtracting integers. Start by reading the problem thoroughly to understand the scenario. Next, identify the integers involved and the operation required, paying attention to keywords that suggest subtraction, such as ‘decrease’, ‘loss’, or ‘below’. Teach students to approach the problem methodically, using tools like number lines or the rules of adding and subtracting integers. Finally, emphasize the importance of checking their work to ensure the answer makes sense within the context of the problem. Encourage students to practice with various word problems to build confidence and proficiency in this skill.

Practicing Integer Word Problems – Submarine ascension problem – Submarine at -250 feet ascends 75 feet. New depth: -250 + 75 = -175 feet – Debt calculation problem – Owe $12, find $7. Remaining debt: $12 – $7 = $5 | This slide provides two practice problems for students to apply their understanding of adding and subtracting integers in real-world contexts. The first problem involves a submarine ascending, which is a practical application of adding a positive integer to a negative one. The second problem relates to a common financial situation where subtracting a positive integer from a negative one is required. Encourage students to set up each problem by identifying the integers and their signs, then perform the appropriate operation. After attempting the problems, discuss as a class and ensure students understand the steps taken to arrive at the solutions. Provide additional similar problems for students to try independently.

Class Activity: Integer Operations Race – Form small groups of 3-4 – Solve integer word problems together – Tackle problems involving adding and subtracting integers – First team to finish wins – Accuracy is key to victory! – Check each other’s work for mistakes | This activity is designed to encourage teamwork and reinforce the concept of adding and subtracting integers through word problems. Divide the class into small groups to foster collaboration. Provide each group with a set of word problems that require them to apply their knowledge of integer operations. The first team to complete all problems correctly wins a small prize, which adds a competitive element to the learning process. Ensure that accuracy is emphasized over speed to promote careful calculation. Possible activities for different groups could include varied problem sets or incorporating integer multiplication and division for an added challenge. Monitor the groups to provide guidance and ensure that all students are participating.

Wrapping Up: Integers in Action – Review adding & subtracting integers – Why integer operations matter – Essential for algebra readiness and real-life applications – Homework: Integer word problems worksheet – Solve and check 10 word problems involving integers – Practice makes perfect – Consistent practice ensures mastery of concepts | As we conclude today’s lesson on adding and subtracting integers, it’s crucial to emphasize the importance of these operations as foundational skills for algebra and beyond. They are not only vital for academic success but also for solving everyday problems. For homework, students are assigned a worksheet that includes 10 word problems. This will reinforce their understanding and provide a practical application of the concepts learned. Encourage students to attempt each problem and check their answers for accuracy. Remind them that consistent practice is key to mastering integer operations and building confidence in their mathematical abilities.