Math Reasoning

Analyze Problems
1.1 Determine the approach, materials, and strategies to be used.

Use Models or Pictures
1.2 Use tools
and strategies, such as manipulatives or sketches, to model problems.
2.0
Students solve problems in reasonable ways and justify their reasoning:
2.1 Explain the reasoning used with concrete objects and/or pictorial representations.

Analyze Problems
2.2 Make precise calculations and check the validity of the results in the context of the problem.



Math Reasoning

Analyze Problems
1.1 Determine the approach, materials, and strategies to be used.

Prove Your Answer
2.0 Students solve problems and justify their reasoning:
2.1 Explain the reasoning used and justify the procedures selected.

Analyze Problems
2.2 Make precise calculations and check the validity of the results in the context of the problem.

Apply Concepts and Procedures
3.0 Students note connections between one problem and another.


Math Reasoning

Embedded
Analyze Problems
1.1 Determine the approach, materials, and strategies to be used.

Prove Your Answer
2.0 Students use strategies, skills, and concepts in finding solutions:
.2.1 Defend the reasoning used and justify the procedures selected

Apply Concepts and Procedures
2.2 Apply strategies and results from simpler problems to more complex problems.

Apply Concepts and Procedures
3.0 Students note connections between one problem and another.



Math Reasoning

Embedded
Analyze Problems
1.1. Analyze problems by identifying relationships, distinguishing relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns.

Use Estimation
2.0 Students use strategies, skills, and concepts in finding solutions:
2.1 Use estimation to verify the reasonableness of calculated results.

Apply Concepts and Procedures
2.2 Apply strategies and results from simpler problems to more complex problems.

Use Models or Pictures
2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables,
diagrams, and models, to explain mathematical reasoning.

Prove Your Answer
.2.4 Express the solution clearly and logically by using the appropriate mathematical
notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

Use Estimation
2.5 Indicate the relative advantages of exact and approximate solutions to problems
and give answers to a specified degree of accuracy.

Analyze Problems
.2.6 Make precise calculations and check the validity of the results from the context of
the problem.

Apply Concepts and Procedures
3.0 Students move beyond a particular problem by generalizing to other situations:
3.1 Evaluate the reasonableness of the solution in the context of the original situation.
3.2 Note the method of deriving the solution and demonstrate a conceptual understanding
of the derivation by solving similar problems.
3.3 Develop generalizations of the results obtained and apply them in other circumstances.



Math Reasoning

Embedded
Analyze Problems
1.1. Analyze problems by identifying relationships, distinguishing relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns.

Use Estimation
2.0 Students use strategies, skills, and concepts in finding solutions:
2.1 Use estimation to verify the reasonableness of calculated results.


Apply Concepts and Procedures
2.2 Apply strategies and results from simpler problems to more complex problems.

Use Models or Pictures
2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables,
diagrams, and models, to explain mathematical reasoning.

Prove Your Answer
.2.4 Express the solution clearly and logically by using the appropriate mathematical
notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

Use Estimation
2.5 Indicate the relative advantages of exact and approximate solutions to problems
and give answers to a specified degree of accuracy.

Analyze Problems
.2.6 Make precise calculations and check the validity of the results from the context of
the problem.

Apply Concepts and Procedures
3.0 Students move beyond a particular problem by generalizing to other situations:
3.1 Evaluate the reasonableness of the solution in the context of the original situation.
3.2 Note the method of deriving the solution and demonstrate a conceptual understanding
of the derivation by solving similar problems.
3.3 Develop generalizations of the results obtained and apply them in other circumstances.



Math Reasoning

Embedded
Analyze Problems
1.1. Analyze problems by identifying relationships, distinguishing relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns.

Apply Concepts and Procedures
2.2 Apply strategies and results from simpler problems to more complex problems.

Use Models or Pictures
2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables,
diagrams, and models, to explain mathematical reasoning.

Prove Your Answer
.2.4 Express the solution clearly and logically by using the appropriate mathematical
notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

Use Estimation
2.5 Indicate the relative advantages of exact and approximate solutions to problems
and give answers to a specified degree of accuracy.

Analyze Problems
.2.6 Make precise calculations and check the validity of the results from the context of
the problem.

Apply Concepts and Procedures
3.0 Students move beyond a particular problem by generalizing to other situations:
3.1 Evaluate the reasonableness of the solution in the context of the original situation.
3.2 Note the method of deriving the solution and demonstrate a conceptual understanding
of the derivation by solving similar problems.
3.3 Develop generalizations of the results obtained and apply them in other circumstances.




Math Reasoning

Embedded
Analyze Problems
1.1. Analyze problems by identifying relationships, distinguishing relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns.

Use Estimation
2.0 Students use strategies, skills, and concepts in finding solutions:
2.1Use estimation to verify the reasonableness of calculated results.

Apply Concepts and Procedures
2.2Apply strategies and results from simpler problems to more complex problems.

Use Models or Pictures
2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables,
diagrams, and models, to explain mathematical reasoning.

Prove Your Answer
.2.4 Express the solution clearly and logically by using the appropriate mathematical
notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

Use Estimation
2.5 Indicate the relative advantages of exact and approximate solutions to problems
and give answers to a specified degree of accuracy.

Analyze Problems
.2.6 Make precise calculations and check the validity of the results from the context of
the problem.

Apply Concepts and Procedures
3.0 Students move beyond a particular problem by generalizing to other situations:
3.1 Evaluate the reasonableness of the solution in the context of the original situation.
3.2 Note the method of deriving the solution and demonstrate a conceptual understanding
of the derivation by solving similar problems.
3.3 Develop generalizations of the results obtained and apply them in other circumstances.


