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Standards for Mathematical Practice
Glencoe Algebra 2
exhibits these practices throughout the entire program. All of the Standards for
Mathematical Practice will be covered in each chapter. The MP icon notes specific areas of coverage.
Mathematical Practices
What does it mean?
1. Make sense of problems and
persevere in solving them.
Solving a mathematical problem takes time. Use a logical process to make
sense of problems, understand that there may be more than one way to
solve a problem, and alter the process if needed.
2. Reason abstractly and
quantitatively.
You can start with a concrete or real-world context and then represent it
with abstract numbers or symbols (decontextualize), find a solution, then
refer back to the context to check that the solution makes sense
(contextualize).
3. Construct viable arguments and
critique the reasoning of others.
Sound mathematical arguments require a logical progression of statements
and reasons. Mathematically proficient students can clearly communicate
their thoughts and defend them.
4. Model with mathematics.
Modeling links classroom mathematics and statistics to everyday life, work,
and decision-making. High school students at this level are expected to
apply key takeaways from earlier grades to high-school level problems.
5. Use appropriate tools
strategically.
Certain tools, including estimation and virtual tools are more appropriate
than others. You should understand the benefits and limitations of each
tool.
6. Attend to precision.
Precision in mathematics is more than accurate calculations. It is also the
ability to communicate with the language of mathematics. In high school
mathematics, precise language makes for effective communication and
serves as a tool for understanding and solving problems.
7. Look for and make use of
structure.
Mathematics is based on a well-defined structure. Mathematically proficient
students look for that structure to find easier ways to solve problems.
8. Look for and express regularity
in repeated reasoning.
Mathematics has been described as the study of patterns. Recognizing a
pattern can lead to results more quickly and efficiently.
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