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Solving One-Variable Equations with Like Terms – Understanding equations – Equations are statements of equality with unknowns – Defining ‘like terms’ – Terms with the same variable raised to the same power – Importance of like terms in equations – Simplifies equations, making them easier to solve – Solving equations with like terms – Combine like terms to find the value of the unknown | This slide introduces the concept of one-variable equations and the role of like terms in solving them. Start by explaining that equations are mathematical statements that show two expressions are equal, and they often contain an unknown variable we need to solve for. Like terms are terms in an equation that have the same variable raised to the same power, which allows them to be combined. Emphasize the importance of like terms in simplifying equations, making them easier to solve. Demonstrate how to identify and combine like terms to solve for the unknown variable. Provide examples and practice problems to reinforce the concept. Encourage students to ask questions if they’re unsure about how to combine like terms.

Solving Equations: Combining Like Terms – Identify like terms in equations – Terms with identical variables and exponents – Differentiate like and unlike terms – Like: 3x and 5x; Unlike: 3x and 3y – Combine like terms to simplify – Add or subtract coefficients of like terms – Practice with example equations | This slide introduces the concept of like terms as a foundation for simplifying algebraic equations. Like terms have the same variable(s) raised to the same power, such as 2x and 3x, and can be combined by adding or subtracting their coefficients. Unlike terms, such as 2x and 2y, cannot be combined in this way. Emphasize the importance of combining like terms as a crucial step in the process of solving one-variable equations. Provide several examples for students to practice identifying and combining like terms, and encourage them to explain their reasoning. This will prepare them for more complex equation solving in future lessons.

Solving Equations with Like Terms – Combine like terms first – Add or subtract similar terms: 3x and 4x become 7x – Isolate the variable – Get the variable x alone on one side by dividing or multiplying – Example: 3x + 4x = 14 – Combine 3x and 4x to get 7x, then divide both sides by 7 to find x – Solve for x – After isolating, x equals 2 | This slide introduces students to solving one-variable equations by combining like terms. Start by explaining that like terms have the same variable raised to the same power. Show them how to simplify the equation by adding or subtracting these terms. Next, demonstrate how to isolate the variable by performing inverse operations. Use the example 3x + 4x = 14 to illustrate these steps: combine like terms to get 7x = 14, then divide both sides by 7 to solve for x, resulting in x = 2. Encourage students to practice with additional examples and ensure they understand each step before moving on.

Solving Equations with Like Terms: Practice – Work through examples as a class – Individual student practice – Try solving x + 3 = 5x – 7 on your own – Discuss solutions collectively – Share your answers and compare with peers – Explore different solving methods – Discuss why some methods are more efficient | This slide is designed to facilitate active learning through practice and discussion. Begin by solving a few problems as a class to demonstrate the process. Then, allow students to work independently on problems such as ‘x + 3 = 5x – 7’, encouraging them to apply the concept of combining like terms. Afterward, initiate a class discussion where students can share their solutions and the methods they used. This will help them see various approaches to solving equations and understand the importance of like terms in simplifying and solving equations. As a teacher, be prepared to guide the discussion, correct misconceptions, and highlight efficient strategies.

Complex Equations with Like Terms – Equations with multiple like terms – Example: 5x + 2 – 3x – 6 = 16 – Combine like terms: 5x – 3x and 2 – 6 – Step-by-step solution – Simplify to 2x – 4 = 16 – Simplify and solve for x – Add 4 to both sides, then divide by 2 | This slide introduces students to solving more complex one-variable equations that include multiple like terms. Start by explaining that like terms are terms that have the same variable raised to the same power. In the example, guide students through combining like terms (5x and -3x, as well as 2 and -6) to simplify the equation. Then, demonstrate the steps to isolate the variable x by adding 4 to both sides of the equation and finally dividing by 2 to find the value of x. Encourage students to practice this process with different equations and to check their solutions by substituting the value of x back into the original equation.

Group Activity: Equation Relay – Divide into small groups – Solve equations with like terms – Combine terms such as 3x + 2x or 5y – 3y – Present solutions to class – Explain your solving process – Share steps taken to find the solution | This group activity is designed to encourage collaborative problem-solving and reinforce the concept of combining like terms in one-variable equations. Divide the class into small groups, ensuring a mix of abilities in each group to promote peer learning. Provide each group with a set of equations that require combining like terms to solve. After solving, each group will present their solutions to the class, explaining the steps they took to arrive at their answers. This will help students articulate their thought process and solidify their understanding. As a teacher, prepare to guide the groups that may struggle and have additional example problems ready for groups that finish early. Possible equations for the activity could include: 2x + 3x = 10, 4y + 2y – y = 12, or 5a – 2a + 3 = 9.

Class Activity: Equation Puzzle Challenge – Individual puzzle-solving activity – Solve equations to find puzzle pieces – Each piece represents an equation solution – Understand like terms with a game – Like terms are pieces that fit together – Interactive learning and reinforcement | This activity is designed to reinforce the concept of like terms in a fun, interactive way. Each student receives a puzzle with missing pieces. To find the correct pieces, they must solve one-variable equations. The pieces that fit together represent like terms. This hands-on experience helps students visualize and better understand the process of combining like terms. For the teacher: Prepare puzzles with equations on the edges. Ensure the difficulty is appropriate for seventh graders. Consider creating different puzzles to cater to varying skill levels. Possible variations include puzzles with different themes or incorporating word problems that lead to the equations.

Review and Homework: Like Terms Equations – Recap solving equations with like terms – Homework: Practice worksheet – Complete the provided worksheet to reinforce today’s lesson – Variety of problem types included – Problems will range from easy to challenging to test understanding – Bring questions to next class – Review your work and note any uncertainties | Today’s lesson focused on solving equations involving like terms, an essential skill in algebra. For homework, students are assigned a worksheet that includes a variety of problems to ensure they practice and master the concept. The worksheet should cover simple to complex problems, allowing students to apply what they’ve learned at different difficulty levels. Encourage students to attempt all problems and bring up any questions or difficulties they encounter in the next class. This will help them clarify their doubts and solidify their understanding. The teacher should be prepared to address these questions and provide additional examples or strategies as needed.