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Patterns

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Patterns

  1. 1. Patterns and More Fractions
  2. 2. <ul><li>I can… </li></ul><ul><ul><ul><li>1. Continue a number pattern </li></ul></ul></ul><ul><ul><ul><li>2. Write a rule for a number pattern </li></ul></ul></ul><ul><ul><ul><li>3. Use variables </li></ul></ul></ul><ul><ul><ul><li>4. Evaluate algebraic expressions </li></ul></ul></ul><ul><ul><ul><li>5. Write algebraic expressions </li></ul></ul></ul><ul><ul><ul><li>6. Use algebraic expressions </li></ul></ul></ul><ul><ul><ul><li>7. solve equations by adding and subtracting </li></ul></ul></ul><ul><ul><ul><li>8. solve equations by multiplying and dividing </li></ul></ul></ul><ul><ul><ul><li>9. Use exponents </li></ul></ul></ul><ul><ul><ul><li>10. Simplify expressions using exponents </li></ul></ul></ul>
  3. 3. What is the difference between a numerical expression and an algebraic expression?
  4. 4. In the following expression, what number do you think belongs in the box? 8 + 4 =  + 5
  5. 5. True or False 4  3 + 2 = 14 6  7 = 42 8 + 2  5 = 12 3 + 7 = 7 + 3 9 = 3  3 6 = 6
  6. 6. Open Sentences 5  6 =  32 ÷  = 8 4 + 5 =  - 1 4  7 = 7   7 -  = 6 - 4  = 10 - 1  + 14 = 14 + 9
  7. 7. True or False 674 - 389 = 664 - 379 5  84 = 10  42 37  54 = 38  53 64 ÷ 14 = 32 ÷ 28
  8. 8. More Open Sentences 73 + 56 = 71 +  126 - 37 =  - 40 20  48 =   24 68 + 58 = 57 + 69 + 
  9. 9. Writing True/False Sentences <ul><li>Make up your own true/false sentences to challenge your classmates and fellow teams. </li></ul><ul><li>Each person in each group should write three or four. </li></ul><ul><li>Make at least one true, at least one false, and one “tricky” one. </li></ul>
  10. 10. Incredible Expressions <ul><li>Today is November 10. Write numerical expressions using any of the operations (add, subtract, multiply, and divide) </li></ul>
  11. 11. Variables Used as an Unknown Value <ul><li>Consider the following open sentence: </li></ul><ul><li> +  + 7 =  + 17 </li></ul>Mathematician’s Rule - if the same symbol or letter appears more than once in an equation, then it must stand for the same number every place it occurs
  12. 13. Complete the Open Sentence <ul><li>902 + 441 =  + 902 </li></ul>
  13. 14. True or False <ul><li>41  3 = 3  41 </li></ul>Is this true for any numbers? Try to state the idea in words without using a specific number.
  14. 15. Odds and Evens <ul><li>Add two even numbers, is the sum odd or even? Is this always true? </li></ul><ul><li>Add two odd numbers, is the sum odd or even? Is this always true? </li></ul><ul><li>Add an even and an odd number, is the sum odd or even? Is this always true? </li></ul>

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