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Published bySudomo Sumadi Modified over 5 years ago
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5-Minute Check APK Collect like terms and arrange in descending order.
1) 4x3 + 6x4 – 2x4 + 8x 4x4 + 4x3 + 8x 2) 3x – 5x x0 – 2x + 7 3) Evaluate 4x3 + x2 – 2 for x = 0 and x = 1 When X = 0 Answer -2 When X = 1 Answer 3
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5.7 Addition of Polynomials
Objectives: Students will add polynomials by first collecting like terms. Why? So you can apply addition rules for polynomials in real world applications. Mastery is 80% or better on 5-minute checks and indy practice.
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Skill Develop Example 1 Add (5x2 + 3x + 4) + (3x2 + 5) 3x2 + 5 = 8x2
+ 9
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Skill Develop Example 2 Add (7x2y3 + xy) + (1 – 2x2y3) – 2x2y3 + 1
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Guided Practice Add. 1) (3x2 + 2x – 2) + (-2x2 + 5x + 5)
2) (31x4 + x2 + 2x – 1) + (-7x4 + 5x3 – 2x + 2) 24x4 + 5x3 + x2 + 1 3) (4a2b – 5a + 3) + (-2a2b – 2a – 4) 2a2b – 7a - 1
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Think…Ink…Share White Boards
Add. (2x4 – 5x2 + 4x + 5) + (5x4 + 7x3 – 2x2 – 2x) 2x4 + 0x3 – 5x2 + 4x + 5 5x4 + 7x3 – 2x2 – 2x + 0 7x4 + 7x3 – 7x2 + 2x + 5
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Guided Practice Example 4
Add. (-3x4y3 + 6x3y3 – 6x2 + 5xy5 + 1) + (5x5 – 3x3y3 – 5xy5) -3x4y3 + 6x3y3 – 6x2 + 5xy5 + 1 5x x3y xy5 5x5 – 3x4y3 + 3x3y3 – 6x2 + 1
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White Boards CFU Add. 1) (-2m3 – 5m2 – 2m – 4) + (m4 – 6m2 + 7m – 10)
2) (-3x4y3 – 5xy + 2) + (x4y3 + x2 + 2xy + 5) m4 –2m3 – 11m2 + 5m – 14 -2x4y3 + x2 – 3xy + 7
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Homework PDF Online Add Polys
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5.8 Subtraction of Polynomials
Objectives: Students will add polynomials by first collecting like terms. Why? So you can apply addition rules for polynomials in real world applications. Mastery is 80% or better on 5-minute checks and indy practice.
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Skill Develop Example 1 Subtract. (5x2 + 3x - 2) - (2x2 + 1)
- 1 = 3x2 + 3x - 3
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Skill Develop Example 2 Subtract.
(2x2y2 + 3xy3 – 4y4) - (x2y2 – 5xy3 + 3y – 2y4) = 2x2y2 + 3xy3 – 4y4 - x2y2 + 5xy3 + 2y4 – 3y = x2y2 + 8xy3 – 2y4 – 3y
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Guided Practice Subtract. 1) (5x4 + 4) – (2x2 – 1)
2) (-7m3 + 2m + 4) – (-2m3 – 4) 3) (-3a2b4 + 5ab - 4) - (-4a3 + 11a2b4 – 2a - 6)
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Guided Example 3 Subtract. (8x3 + 6x2 – 3x + 5) – (5x3 – 3x2 + 2x – 4)
+ 4 3x3 + 9x2 - 5x + 9
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Think…Ink…Share Example 4
Subtract. (2a4b + 5a3b2 – 4a2b3) – (4a4b + 2a3b2 – 4ab) 2a4b + 5a3b2 – 4a2b3 -4a4b - 2a3b2 + 4ab -2a4b + 3a3b2 – 4a2b3 + 4ab
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CFU White Boards Practice
Subtract. 1) (-2m3 – 5m2 – 2m – 4) - (m4 – 6m2 + 7m – 10) -m4 -2m3 + m2 -9m + 6 2) (-3x4y3 – 5xy + 2) - (x4y3 + x2 + 2xy + 5) -4x4y3 – 7xy - x2 - 3
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What was the Objectives?
Students will add & subtract polynomials by first collecting like terms. Why? So you can apply addition & subtraction rules for polynomials in real world applications. Mastery is 80% or better on 5-minute checks and indy practice.
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Homework PDF Subtract Polys
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