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- Problem Solving - K-3, 4-6, 7-12
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- Problem Solving K-3 (printable PDF)
- Essential Skills
1. Work individually and as a member of a group in formulating and solving problems
2. Build new mathematical knowledge through problem solving
3. Identify and solve problems that arise in mathematics and in other contexts
4. Apply and adapt a variety of appropriate strategies, including choosing appropriate computations, to solve problems
5. Monitor and reflect on the process of mathematical problem solving
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Kindergarten
Important to Know
• Use the following strategies to formulate and solve problems:
act it out
make a physical model
look for a pattern
guess/check/revise
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Grade 1
Important to Know
• Use the following strategies to formulate and solve problems:
act it out
make a physical model
look for a pattern
guess/check/revise
.
Grade 2
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, work backwards, solve a simpler problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Judge the reasonableness of solutions
• Generalize a problem solving situation to other content areas
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Grade 3
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, work backwards, solve a simpler problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Judge the reasonableness of solutions
• Generalize a problem solving situation to other content areas
.
- Problem Solving 4-6 (printable PDF)
- Essential Skills
1. Work individually and as a member of a group in formulating and solving problems
2. Build new mathematical knowledge through problem solving
3. Identify and solve problems that arise in mathematics and in other contexts
4. Apply and adapt a variety of appropriate strategies, including choosing appropriate computations, to solve problems
5. Monitor and reflect on the process of mathematical problem solving
.
Grade 4
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, work backwards, solve a simple problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Judge the reasonableness of solutions
• Solve two-step problems
• Generalize a problem solving situation to other content areas
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Grade 5
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, work backwards, solve a simple problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Judge the reasonableness of solutions
• Solve multi-step problems
• Generalize a problem solving situation to other content areas
.
Grade 6
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, work backwards, solve a simple problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Judge the reasonableness of solutions
• Solve multi-step problems
• Generalize a problem solving situation to other content areas
.
- Problem Solving 7-12 (printable PDF)
- Essential Skills:
1. Work individually and as a member of a group in formulating and solving problems
2. Build new mathematical knowledge through problem solving
3. Identify and solve problems that arise in mathematics and in other contexts
4. Apply and adapt a variety of appropriate strategies, including choosing appropriate computations, to solve problems
5. Monitor and reflect on the process of mathematical problem solving
.
Grade 7
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, working backwards, solve a simpler problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Solve multi-step problems
• Judge the reasonableness of solutions.
• Use an open sentence (algebraic equation) to symbolize a problem situation and solve the equation to find a solution to the problem
• Identify problems that are similar in structure
• Generalize a problem solving situation to other content areas
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Grade 8
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, working backwards, solve a simpler problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Solve multi-step problems
• Judge the reasonableness of solutions
• Use an open sentence (algebraic equation) to symbolize a problem situation and solve the equation to find a solution to the problem
• Identify problems that are similar in structure
• Generalize a problem solving situation to other content areas
• Exhibit a project that includes a flow chart or outline of a problem solving process
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Grade 9
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, working backwards, solve a simpler problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Solve multi-step problems
• Judge the reasonableness of solutions
• Use an open sentence (algebraic equation) to symbolize a problem situation and solve the equation to find a solution to the problem
• Identify problems that are similar in structure
• Generalize a problem solving situation to other content areas
• Exhibit a project that includes a flow chart or outline of a problem solving process
.
Grade 10 - 12
Important to Know
• Identify needed information to solve a problem
• Use the following strategies: act it out, make a physical model, draw a diagram, make a chart or table, generalize, look for a pattern, guess/check/revise, working backwards, solve a simpler problem
• Translate from words to mathematical symbols
• Identify relevant and irrelevant information
• Solve multi-step problems
• Judge the reasonableness of solutions
• Use an open sentence (algebraic equation to symbolize a problem situation and solve the equation to find a solution to the problem
• Identify problems that are similar in structure
• Generalize a problem solving situation to there content areas
• Exhibit a project that includes a flow chart or outline of a problem solving process
• Use strategies with geometric theorems and proofs
• Choose an appropriate computer program to help solve problems and display evidence
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