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Conceptual Understanding in Mathematics Algebra Tiles 6 th -8 th Grade

Conceptual Understanding in Mathematics Algebra Tiles 6 th -8 th Grade. February 1, 2016. Norms. Be on time Be present Spread joy!. Today we will…. Make sense of mathematics using algebra tiles.

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Conceptual Understanding in Mathematics Algebra Tiles 6 th -8 th Grade

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  1. Conceptual Understanding in MathematicsAlgebra Tiles6th-8th Grade February 1, 2016

  2. Norms • Be on time • Be present • Spread joy!

  3. Today we will… • Make sense of mathematics using algebra tiles. • Learn how algebra tiles can be used to teach skills in mathematics using a conceptual approach.

  4. Algebra Tiles

  5. Identifying Algebra Tiles

  6. INTEGERS

  7. Adding the Opposite

  8. Adding and Subtracting • Virtual Manipulatives • Model: • 2 + (-7) • -5 + ( -3) • -8 + (2) • -4 – (2) • -7 – (-5)

  9. Adding and Subtracting • In Buffalo, New York, the temperature was  -14°F in the morning. If the temperature dropped 7°F, what is the temperature now? • Julie owes 5 dollars for lunch and has 7 dollars. How much money will she have left over, if she pays what she owes?

  10. ALGEBRAIC EXPRESSIONS • Simplifying Algebraic Expressions

  11. Algebraic Expressions

  12. Algebraic Expressions • Find the Perimeter and Area of the rectangle below: • Solve using Algebra Tiles.

  13. 6th Grade Expressions and Equations

  14. Solving Equations x + 2 = 3 -2 -2 x = 1 • x and two positives are the same as three positives • add two negatives to both sides of the equation; makes zeroes • one xis the same as one positive

  15. Solving Equations 3(x – 1) + 5 = 2x – 2 3x – 3 + 5 = 2x – 2 3x + 2 = 2x – 2 + -2 + -2 3x = 2x – 4 -2x -2x x = -4 “x is the same as four negatives”

  16. You Try • 6x + 4 – x = 5 – (x +7) • x – 2 + 5x – 13 = 4x – 4 + x – 2x

  17. 7th Grade Expressions and Equations • Laila tells Julius to pick a number between one and ten. “Add three to your number and multiply the sum by five,” she tells him. Next she says, “Now take that number and subtract seven from it and tell me the new number.” “Eleven,” Julius exclaims.

  18. 8th Grade Expressions and Equations

  19. Instructional Frame • Culture of Learning with High Expectations • Challenging Content • Ownership • Supporting all students • Demonstrating learning

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