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Algebra Problem Solving with the new Common Core Standards

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Presentation on theme: "Algebra Problem Solving with the new Common Core Standards"— Presentation transcript:

1 Algebra Problem Solving with the new 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 &

2 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

10 Design and Organization
Balance of concepts and skills & Algebra Problem Solving with the new Common Core Standards

11 Design and Organization
Balance of concepts and skills Focal points at each grade level & Algebra Problem Solving with the new Common Core Standards

12 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

13 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

16 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

17 Menu Math does the trick !
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

18 Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95
Standards  Supporting Activity  Menu Math Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

19 1. h + f = Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas:
Standards  Supporting Activity  Menu Math 1. h + f = Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

20 1. h + f = Hamburger $1.85 2. c + f + s = Cheeseburger $2.15
Standards  Supporting Activity  Menu Math 1. h + f = 2. c + f + s = Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

21 1. h + f = Hamburger $1.85 2. c + f + s = Cheeseburger $2.15
Standards  Supporting Activity  Menu Math 1. h + f = 2. c + f + s = 3. 7f = Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

22 1. h + f = Hamburger $1.85 Cheeseburger $2.15 2. c + f + s =
Standards  Supporting Activity  Menu Math 1. h + f = 2. c + f + s = 3. 7f = 4. 3h + c + f + 3x = Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

23 1. h + f = Hamburger $1.85 2. c + f + s = Cheeseburger $2.15
Standards  Supporting Activity  Menu Math 1. h + f = 2. c + f + s = 3. 7f = 4. 3h + c + f + 3x = 5. 4c + 3f + s + m + l = Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

24 1. h + f = Hamburger $1.85 2. c + f + s = Cheeseburger $2.15
Standards  Supporting Activity  Menu Math 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 = ? Hamburger $1.85 Cheeseburger $2.15 Fries $1.05 Sodas: Small $0.95 Medium $1.25 Large $1.55 Extra Large $2.05 & Algebra Problem Solving with the new Common Core Standards

25 Hundreds Magic takes the cake !
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

26 Standards  Supporting Activity  Hundreds Magic
& Algebra Problem Solving with the new Common Core Standards

27 Standards  Supporting Activity  Hundreds Magic
& Algebra Problem Solving with the new Common Core Standards

28 Backwards Math can do it all !
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 Here are the answers to one hundred math problems.
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 Here are the answers to one hundred math problems.
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 Here are the answers to one hundred math problems.
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 Here are the answers to one hundred math problems.
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 Here are the answers to one hundred math problems.
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 Here are the answers to one hundred math problems.
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 Here are the answers to one hundred math problems.
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

36 MORE! MORE! MORE! Our most popular product for the second year! 
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