# Lesson 8 Problem Set 7.1: An Introduction to Problem-Solving Strategies

Problem-solving strategies are important for students to learn in order to develop their problem-solving skills. Problem-solving strategies are techniques used to break down complex problems into smaller and more manageable parts. This helps students to think through the problem and come up with potential solutions. Lesson 8 Problem Set 7.1 introduces students to various problem-solving strategies, such as trial and error, working backward, and making a plan.

## Trial and Error

Trial and error is one of the most commonly used problem-solving strategies. It involves attempting different solutions until the right one is found. When using trial and error, students should test one solution at a time and take notes of the results. This will help them to narrow down their choices and eventually come up with the correct answer. Students should also be careful not to get stuck in a trial and error loop, where they keep trying the same solution over and over without making any progress.

## Working Backward

Working backward is another strategy for solving problems. This strategy involves starting with the end result and then working backward to figure out how to get there. This can be helpful when the problem involves a sequence, such as a math word problem. Working backward helps students to identify which steps need to be taken in order to reach the desired outcome. It also helps them to think about the problem from a different perspective, which can lead to creative solutions.

## Making a Plan

Making a plan is a problem-solving strategy that involves breaking down a problem into smaller steps. This helps students to visualize the entire problem and come up with a plan of action. Students should first identify the goal, then break down the problem into smaller, more manageable chunks. This will help them to think through the problem and come up with a plan of action. Making a plan also helps students to focus on what needs to be done in order to reach the goal.

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Problem-solving strategies are important for students to learn in order to develop their problem-solving skills. Lesson 8 Problem Set 7.1 introduces students to three problem-solving strategies: trial and error, working backward, and making a plan. These strategies can help students to break down complex problems and come up with potential solutions. With practice and repetition, students can become proficient in using these strategies and use them to solve a variety of problems.