Algebra Tiles Activity 1: Adding Integers

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$By: Melissa Hanel Math B/Grade 11 5 Day Unit Plan Technologies ...$

EXPLORING THE DISTRIBUTIVE PROPERTYx 2 = –x 2 = x = –x = +1 = –1 =blue red green red yellow redThe Distributive Property combines multiplication with addition or subtraction.Example: 2(x + 3)2(x + 3) = 2x + 6Model each of the following problems to simplify the variable expression.1. 2(x + 4)2. 3(x + 2)3. 2(2x + 1)4. 3(x – 1)5. 4(x – 2)6. 2(3x + 1)7. 2(-x + 1)8. 3(x – 4)9. 5(-2x + 3)10. In your own words explain how the distributive property works or write an algebraicexpression to represent the concept.
EXPLORING SIMPLIFYING VARIABLE EXPRESSIONSx 2 = –x 2 = x = –x = +1 = –1 =blue red green red yellow redYou simplify variable expressions by combining like terms. Use zero pairs, where needed,and perform as many operations as possible within the expression.Example. 3a + (–a) = + = = 2a02y + 7 + y – 3 = + + = 3y + 4–3Use models to simplify these expressions.1. 4x + 7x = 2. 5b – 2b =3. 3a + (-2a) = 4. 5y – (–2y) =5. 3c 2 – 8 + 2c 2 = 6. 8 – 5x + 3x 2 – 2 + 3x =Remember 2(x + 3) means + = 2x + 6Use models to simplify these expressions.7. 2(y 2 – 4) = 8. 3(a + 3) =9. 2(z – 4) + 9 = 10. 2(2b 2 – 1) + 7 =11. 10c 2 + 4(c 2 + 3c) – 5c = 12. 8y + 2(3 – y) – 4 =
Page 1 and 2: Algebra TilesActivity 1: Adding Int
Page 3 and 4: Algebra TilesActivity 2: Subtractin
Page 8 and 9: NY Standards: 7.A.4; A.A.22EXPLORIN
Page 10 and 11: EXPLORING ADDING AND SUBTRACTING PO
Page 12 and 13: EXPLORING MULTIPLYING BINOMIALSx 2
Page 14 and 15: Divide each problem.1. x 2 - 5x + 6
Page 16 and 17: Factor each problem.1. -3x 2 + 2x2.
Page 18 and 19: Determine if any of the following a
Page 20 and 21: Method 2: In the equation ax 2 + bx

Algebra Tiles Activity 1: Adding Integers

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