Math
The Common Core Standards for Mathematical Practice (SMPs) describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education.
The Common Core Standards for Mathematical Practice (SMPs) describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education.
The Eight Common Core Standards of Math Practices (SMPs) are:
The Eight Common Core Standards of Math Practices (SMPs) are:
SMP 1: Make sense of problems and persevere in solving them.
SMP 1: Make sense of problems and persevere in solving them.
SMP 2: Reason abstractly and quantitatively.
SMP 2: Reason abstractly and quantitatively.
SMP 3: Construct viable arguments and critique the reasoning of others.
SMP 3: Construct viable arguments and critique the reasoning of others.
SMP 4: Model with mathematics.
SMP 4: Model with mathematics.
SMP 5: Use appropriate tools strategically.
SMP 5: Use appropriate tools strategically.
SMP 6: Attend to precision.
SMP 6: Attend to precision.
SMP 7: Look for and make use of structure.
SMP 7: Look for and make use of structure.
SMP 8: Look for and express regularity in repeated reasoning.
SMP 8: Look for and express regularity in repeated reasoning.
Standard for Math Practice 3, “Construct viable arguments and critique the reasoning of others” requires that mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is.
Standard for Math Practice 3, “Construct viable arguments and critique the reasoning of others” requires that mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is.
(http://www.corestandards.org/Math/Practice/)
(http://www.corestandards.org/Math/Practice/)
In order to meet SMP 3, students need to make claims, cite evidence, and explain their reasoning. The following template can be used to help students organize their claims, evidence and reasoning. A sample completed form is also provided.
In order to meet SMP 3, students need to make claims, cite evidence, and explain their reasoning. The following template can be used to help students organize their claims, evidence and reasoning. A sample completed form is also provided.
