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Understanding Algebra

Understanding Algebra. What is algebra? It is the language of mathematics It is a vehicle we use to condense large amounts of data into efficient mathematical statements. It enables us to do three things: Create mathematical models of a situation

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Understanding Algebra

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  1. Understanding Algebra

  2. What is algebra? It is the language of mathematics It is a vehicle we use to condense large amounts of data into efficient mathematical statements • It enables us to do three things: • Create mathematical models of a situation • Provides the mathematical structurenecessary to use the model to solve problems • Links mathematical and graphical representations of data. Information from: Math Matters by Chapin & Johnson

  3. Information from: Math Matters by Chapin & Johnson

  4. What is a variable? A letter such as n, that represents a number in an expression or an equation. Does it matter what symbol I use? X, Y, and Z should represent an unknown Information from: Math Matters by Chapin & Johnson

  5. Four Basic Operations Used in Algebra

  6. Algebra Tiles

  7. Math Pair Groups

  8. Names:_________________________________ Date_____________________ _________________________________ Simplifying Expressions using Algebra Tiles Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  9. Names:_________________________________ Date_____________________ _________________________________ ANSWER SHEET Simplifying Expressions using Algebra Tiles Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  10. If I had the equation: (-4x +4)+(2x + -2) How could I represent it? -4x -4x 4 4 2x 2x -2 -2 How would I solve it? I would go with what I know, and cross out the Zero Pair. Zero Pair cancel out. Zero Pair a pair of numbers whose sum is zero ANSWER:-2x+2

  11. Math Pair Groups

  12. Names:_________________________________ Date_____________________ _________________________________ Solving Equations using Algebra Tiles p.1 Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  13. Names:_________________________________ Date_____________________ _________________________________ ANSWER SHEET Solving Equations using Algebra Tiles p.1 Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  14. Names:_________________________________ Date_____________________ _________________________________ Solving Equations using Algebra Tiles p.2 Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  15. Names:_________________________________ Date_____________________ _________________________________ ANSWER SHEET Solving Equations using Algebra Tiles p.2 Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  16. Let’s Review http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell11.swf Algebra Balance

  17. Let’s Practice a New Strategy

  18. Let’s make a map to represent this equation. part 2 part 3 2x + 3 = 5 part Solid means Multiply Dotted Line means Add Whole 5 x part Whole part part part x 3 2 5 Whole Whole part

  19. Math Pair Groups

  20. Names:_________________________________ Date_____________________ _________________________________ Create some maps on your own using the equations below.

  21. Answers -7 -10 x x 5 4 7 -2 4 7 x 3 10 x 3 18 y -5 x 2 10 2 x 30 10 -50

  22. Names:_________________________________ Date_____________________ _________________________________ Quiz Solving Equations using Algebra Tiles Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  23. Names:_________________________________ Date_____________________ _________________________________ ANSWER SHEET Solving Equations using Algebra Tiles p.2 p.1 Adapted from: http://hybridalgebra.pbworks.com/w/page/9065143/Algebra%20Tiles%20Power%20Point

  24. Directions: Solve Equations using Algebra Map Quiz Directions: Solve equations using algorithm. p.2

  25. Directions: Solve Equations using Algebra Map Quiz ANSWER SHEET 56 x x x x -10 9 6 3 -7 -5 6 -3 -42 16 Directions: Solve equations using algorithm. p.2

  26. Answer Key

  27. Answer Key

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