Solving Problems

Understanding the Problem

When solving math problems, it's important to understand the problem before attempting to solve it. Read the problem carefully and identify what is being asked, what information is provided, and what operations or concepts are involved.

Devising a Plan

Once you understand the problem, devise a plan for solving it. This may involve choosing a strategy such as using a known formula, breaking the problem into smaller steps, or drawing a diagram to visualize the situation.

Executing the Plan

Implement the plan you devised by performing the necessary calculations, operations, or steps to arrive at a solution. Use the appropriate mathematical concepts and techniques to solve the problem effectively.

Reflecting on the Solution

After obtaining a solution, it's important to reflect on the answer to ensure it makes sense in the context of the problem. Check your work for errors and consider whether the solution is reasonable based on the given information.

Study Guide

To excel at solving math problems, consider the following study guide:

Understand the Concepts: Make sure you have a solid grasp of the mathematical concepts and techniques relevant to the type of problems you're solving.
Practice Regularly: Solve a variety of problems regularly to build your problem-solving skills and familiarity with different problem types.
Seek Help When Needed: Don't hesitate to ask for help or clarification if you encounter challenging problems or concepts.
Review and Reflect: Review your solved problems, identify any mistakes, and reflect on how you could improve your problem-solving approach.

◂Math Worksheets and Study Guides Eighth Grade. Perimeter and area

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.