1 algebra problem solving with the new common core standards join bill as he uses the common core...
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Algebra Problem Solving with thenew Common Core Standards
Join Bill as he uses the Common Core Standards and builds excitement, enthusiasm, and problem-solving skills with FREE easily customized activities. Complete Ready-for-Monday handout available.
*************An Online Resource Manual for Math Teachers
Incorporating the Common Core Standards
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Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
Algebra Problem Solving with the new Common Core Standards
3
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
Algebra Problem Solving with the new Common Core Standards
4
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of
others.
Algebra Problem Solving with the new Common Core Standards
5
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of
others.
4. Model with mathematics.
Algebra Problem Solving with the new Common Core Standards
6
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of
others.
4. Model with mathematics.
5. Use appropriate tools strategically.
Algebra Problem Solving with the new Common Core Standards
7
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of
others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
Algebra Problem Solving with the new Common Core Standards
8
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of
others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
Algebra Problem Solving with the new Common Core Standards
9
Standards for Mathematical Practices
Describe habits of mind of a mathematically expert student
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of
others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Algebra Problem Solving with the new Common Core Standards
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Design and Organization
Balance of concepts and skills
Algebra Problem Solving with the new Common Core Standards
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Design and Organization
Balance of concepts and skills
Focal points at each grade level
Algebra Problem Solving with the new Common Core Standards
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Design and Organization
Balance of concepts and skills
Focal points at each grade level
Graded ramp up to Algebra in Grade 8
Algebra Problem Solving with the new Common Core Standards
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Design and Organization
Balance of concepts and skills
Focal points at each grade level
Graded ramp up to Algebra in Grade 8
Apply and extend previous understandings of . . .
Algebra Problem Solving with the new Common Core Standards
14
Design and Organization
Balance of concepts and skills
Focal points at each grade level
Graded ramp up to Algebra in Grade 8
Apply and extend previous understandings of . . .
Focus on linear equations and functions in Grade 8
Algebra Problem Solving with the new Common Core Standards
15
Design and Organization
Balance of concepts and skills
Focal points at each grade level
Graded ramp up to Algebra in Grade 8
Apply and extend previous understandings of . . .
Focus on linear equations and functions in Grade 8
Organized into domains that progress over several grades
Algebra Problem Solving with the new Common Core Standards
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Standards from Operations, Algebraic Thinking, Expressions, Functions, and Equations
• Sample standards taken from
• Several grade levels with
• Supporting activities that can be
• Easily modified
Algebra Problem Solving with the new Common Core Standards
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Standards Supporting Activity Menu Math
Reason about and solve one-variable equations and inequalities.
Write, read, and evaluate expressions in which letters stand for numbers.
Menu Math does the trick !
Algebra Problem Solving with the new Common Core Standards
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Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
19
Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
1. h + f =
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Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
1. h + f =
2. c + f + s =
21
Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
1. h + f =
2. c + f + s =
3. 7f =
22
Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
1. h + f =
2. c + f + s =
3. 7f =
4. 3h + c + f + 3x =
23
Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
1. h + f =
2. c + f + s =
3. 7f =
4. 3h + c + f + 3x =
5. 4c + 3f + s + m + l =
24
Standards Supporting Activity Menu Math
Algebra Problem Solving with the new Common Core Standards
Hamburger $1.85
Cheeseburger $2.15
Fries $1.05
Sodas:
Small $0.95
Medium $1.25
Large $1.55
Extra Large $2.05
1. h + f =
2. c + f + s =
3. 7f =
4. 3h + c + f + 3x =
5. 4c + 3f + s + m + l =
6. 3c + 3d = $11.10
What does d = ?
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Standards Supporting Activity Hundreds Magic
Generate and analyze patterns.
Analyze patterns and relationships.
Write and interpret numerical expressions.
Hundreds Magic takes the cake !
Algebra Problem Solving with the new Common Core Standards
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Standards Supporting Activity Hundreds Magic
Algebra Problem Solving with the new Common Core Standards
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Standards Supporting Activity Hundreds Magic
Algebra Problem Solving with the new Common Core Standards
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Standards Supporting Activity Backwards Math
Use the four operations with whole numbers to solve problems.
Write and evaluate numerical expressions involving whole-number exponents.
Backwards Math can do it all !
Algebra Problem Solving with the new Common Core Standards
29
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
Multiply or Divide,
Add or Subtract.
Algebra Problem Solving with the new Common Core Standards
30
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
1 = Multiply or Divide,
Add or Subtract.
Algebra Problem Solving with the new Common Core Standards
31
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
1 = Multiply or Divide,
2 = Add or Subtract.
Algebra Problem Solving with the new Common Core Standards
32
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
1 = Multiply or Divide,
2 = Add or Subtract.
3 =
Algebra Problem Solving with the new Common Core Standards
33
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
1 = Multiply or Divide, 4 =
2 = Add or Subtract.
3 =
Algebra Problem Solving with the new Common Core Standards
34
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
1 = Multiply or Divide, 4 =
2 = Add or Subtract. 5 =
3 =
Algebra Problem Solving with the new Common Core Standards
35
Standards Supporting Activity Backwards Math
Here are the answers to one hundred math problems.
Use four 4’s to create problems that will give these
answers.
Remember to use the correct order of operations to solve
your problems: Parentheses, Exponents,
1 = Multiply or Divide, 4 =
2 = Add or Subtract. 5 =
3 = 6 =
Algebra Problem Solving with the new Common Core Standards