8 Standards of Mathematical Practice


When it comes to math, there are 8 standards of mathematical practice that students should aim to uphold. These standards include: making sense of problems and quantities, reasoning abstractly and quantitatively, constructing viable arguments and critiquing the reasoning of others, modeling with mathematics, using appropriate tools strategically, attending to precision, looking for and making use of structure, and looking for and expressing regularity in repeated reasoning.

All of these standards are important in one way or another, but today we’re going to focus on writing in mathematics and metacognition. Writing in mathematics is all about being able to effectively communicate mathematical ideas. This means being able to clearly explain your thought process and why you came to a certain conclusion. Metacognition is basically thinking about your thinking. It’s being aware of your own cognitive process and being able to reflect on your own learning.

Both of these skills are incredibly important for students to develop if they want to be successful in math. And thankfully, the 8 standards of mathematical practice provide a great framework for students to start from. So if you’re ready to learn more about how to up your math game, let’s dive in!

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As a math student, you’ll encounter a lot of different concepts and problems. It can be easy to feel overwhelmed by all of the new information. However, there are some tried and true methods that can help you succeed in math. These are called the Eight Standards of Mathematical Practice.

The first standard is Make sense of problems and persevere in solving them. This means that you should take the time to understanding what a problem is asking before you start trying to solve it. Don’t be afraid to ask questions if you’re confused. Once you have a plan for solving the problem, stick with it even if it’s tough.

The second standard is Reason abstractly and quantitatively. This means that you should be able to see the relationships between numbers and symbols in equations. You should also be able to use numerical reasoning to figure out solutions.

The third standard is Construct viable arguments and critique the reasoning of others. This means that you should be able to explain your solutions to other people and listen to their feedback. It’s important to be able to back up your claims with evidence.

The fourth standard is Model with mathematics. This means that you should be able to use mathematical concepts to represent real-world situations. This will help you understand complex problems and find creative solutions.

The fifth standard is Use appropriate tools strategically. This means that you should know when and how to use calculators, graphing paper, etc. Using tools correctly can save you a lot of time and effort in solving problems.

The sixth standard is Attend to precision. This means that you should be careful when working with numbers and symbols. Make sure that your work is clear and concise so that others can understand it easily.

The seventh standard is Look for and make use of structure. This means that you should look for patterns in data sets or solutions processes. Finding structure can help simplify problems and make them easier to solve.

The eighth standard is Look for and express regularity in repeated reasoning . This means that you should try to find shortcuts or generalizations when working on similar problems . Using regularity can save you time when solving problems and help you see connections between different concepts .

Additional information


3rd Grade, 4th Grade, 5th Grade, 6th Grade



State Educational Standards


Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.

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    Solid Resources

    I have used several of the lesson plans and find them to be a great place to better round out my own plans, and great for a Sub Plan- especially if it is review!