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Understanding Algebra

Algebra is the language of mathematics, enabling the creation of mathematical models, solving problems, and linking data representations. Learn about variables, basic operations, and solving equations through algebra tiles.

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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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