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![Page 1: Unit Review PowerPoint - Weebly · Microsoft PowerPoint - Unit Review PowerPoint Author: cyndi.feldes Created Date: 4/11/2019 4:31:15 PM](https://reader034.vdocuments.net/reader034/viewer/2022051511/60169151c4fdd7401d222533/html5/thumbnails/1.jpg)
Whiteboard ActivityUnit Review ‐ Polynomials
Math 9 – Mrs. Feldes
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A POLYNOMIAL has one or more terms with whole number exponents.
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One or more terms means…
A Polynomial can also be described as a Monomial, Binomial, Trinomial.
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Whole number exponents means…• A variable cannot have a negative exponent, or
be in the denominator of a fraction.
• A variable cannot have a fraction exponent, or
be under a square root sign.
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There can’t be a variable with a fraction exponent.
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A number in front of a variable.A number, a variable, or the product of both a number & a variable.
A number without a variable.
The term with the greatest exponent is the degree of the polynomial. The exponent is the degree of each term.
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TRY: Identify the number of terms, coefficient(s), constant, degree of the polynomial & of each term:
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number of terms = 3 degree of poly. = 2constant = +2 degree of = 2coefficients (s) = +5,‐6 degree of = 1
degree of +2 = 0
SOLUTION:
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TRY: Model with tiles the polynomial:
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To simplify polynomials, we combine like terms or find zero pairs of like tiles.
Zero pairs of like tiles – cancel each other out!
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TRY: Simplify the following polynomial:
Don’t forget the addition and subtraction signs make the coefficients
& constants positive or negative!
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SOLUTION:
Note: Don’t forget to show your steps!
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To add & subtract polynomials, we must remove the brackets before combining like terms.
TRY: Add:
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SOLUTION:
Note: With addition, remove brackets and nothing happens to the terms!
Full marks are given when full steps are shown!
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TRY: Subtract:
Remember, the subtraction sign is subtracting all the terms in the brackets!
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SOLUTION:
)
Note: With subtraction, remove brackets and all the terms afterwards change to its opposite sign!
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TRY: Write a simplified polynomial to represent perimeter.
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Don’t forget to simplify the polynomial!
SOLUTION:
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Don’t forget to simplify the polynomial!
What if b= 2cm….Determine the side length of each side & find the perimeter of the triangle.
SOLUTION:
9(2) + 8 = 26 cm and 12(2) – 8 = 16cm
P = 33(2) – 8 = 58 cm OR, P = 26 + 16 + 16 = 58 cm
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To multiply by a constant, we can think about “equal groups”.
TRY: Model with Tiles:
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SOLUTION:
Model with Tiles: 3 groups or 3 rows of 2x ‐ 1
All the tiles represent the answer!Answer = 6
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To multiply by a monomial, we can think about “area”.
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To multiply by a monomial using tiles, we can construct a rectangle using guiding tiles.
TRY: Model with Tiles:𝑙𝑒𝑛𝑔𝑡ℎ 𝑤𝑖𝑑𝑡ℎ 𝑎𝑟𝑒𝑎
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SOLUTION:
Model with Tiles:
The area represents the answer!
Answer = 𝟐
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The distributive property reminds us to multiply ‘ ’ to all the terms.
TRY: Multiply:
Note: Don’t forget to show your steps!
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SOLUTION:
Multiply:
Note: Don’t forget to show your steps!
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TRY: Multiply:
Note: Don’t forget to show your steps!
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SOLUTION:
Multiply:
Note: Don’t forget to show your steps!
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TRY: Multiply:
Note: Don’t forget to show your steps!
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SOLUTION:
Multiply:
Note: Don’t forget to show your steps!
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TRY: Model with Tiles:
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SOLUTION: Model with Tiles:
Form 2 equal groups from all the tiles.
The tiles of one group represents the answer!
Answer = 𝟐
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To divide by a monomial using tiles, we still construct a rectangle using guiding tiles.
TRY: Model with Tiles: 𝑎𝑟𝑒𝑎
𝑙𝑒𝑛𝑔𝑡ℎ 𝑤𝑖𝑑𝑡ℎ
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SOLUTION:
Model with Tiles:The dimension represents
the answer!
Answer =
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To divide, we write as a sum of fractions.
TRY:
a) b)
Note: Don’t forget to show your steps!
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SOLUTION:
a) b)
Note: Don’t forget to show your steps!
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Determine the unknown side length of a rectangle, if the area is and the other side length is .
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SOLUTION: length = Areawidth
Note: Don’t forget to show your steps!