Distributive Property & Combining Like Terms Day 2 Finished
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This document provides a lesson plan for teaching the distributive property to 3rd graders. It includes notes on the distributive property, worked examples showing how to use it to combine like terms, and practice problems for students to try applying the concept. The homework assigns relevant pages from practice workbooks for additional independent practice.
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This document provides examples and practice problems for using the distributive property and combining like terms in algebraic expressions. It begins with examples of using the distributive property to expand expressions like 4(a + 9) and 3(a - 8). Later examples have students rewrite expressions using the distributive property. The document then provides practice combining like terms, such as combining 11d + 5d into 16d. It concludes with assigning practice problems from a workbook.
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3) Homework assignments from the Yellow and Green practice workbooks involving using the distributive property and combining like terms to simplify expressions.
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(h·g)(x) = 8x^3 - 26x^2 + 41x - 35
(f·h)(x) = 14x^3 - 19x^2 + 32x + 5
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The document discusses combining like terms in algebraic expressions by collecting terms with the same variables and exponents. It provides examples of simplifying expressions by combining like terms such as 5b - 2b + 3b = 6b. The goal is to simplify expressions and polynomials by collecting all terms that have the same variables raised to the same exponents.
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3) Homework assignments from the Yellow and Green practice workbooks involving using the distributive property and combining like terms to simplify expressions.
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15.
Let
f
(
x
)
=
(
x
+
2 /
x
+
5
)
6
16.
Let
f
(
x
)
=
8
.
Then
f
'
(
12
)
=
[removed]
.
And after simplifying
f
'
(
x
)
=
.
Math AB Chapter 8 Polynomials
1. The document reviews multiplying polynomials including binomials and trinomials using the FOIL method. It provides examples of multiplying binomial expressions.
2. It then has students practice simplifying the addition and subtraction of polynomials and multiplying binomial expressions using FOIL.
3. The document concludes with examples of using polynomials to represent and calculate the area of a rectangle.
Expanding
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- It provides examples of expanding expressions like 4(a + 2), 3x(x + 5), and -2a^2(a^3 - 3b^2 + 4c).
- It also discusses common mistakes made when expanding expressions, like incorrectly distributing negative signs, and provides examples to watch out for such mistakes.
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8th alg -l5.4--jan3
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- 1. 5 Minute Math 1.) (x + 5)11 2.) 5(-9-3y) 3.) 8(2m + 7) 4.) 9a + 7j - 5a + 12j - 3 5.) 33m + 27m + 8s + 14s 1
- 2. 2
- 3. Rewrite using the distributive property 3
- 4. 1.) x (2x + 5) 2.) 3y( 7y - 5x) 3.) -4m(6 - 8m3 + 2m) 4
- 5. Try these: 1.) 8g(g - 5) 2.) -7k(-8 + 5k) 3.) 5t2( t - 6c) 4.) j(25t + 24j + 27j3) 5
- 6. Use distributive property & combine like terms 1.) 2(-15m + 5 + 20m) 2.) 3y(35y + 20y + 12) 3.) 7(7n - 6a + 8n + 2a) 6
- 7. Try these: 1.) 5y(6y + 7 - 4y) 2.) 7m(-5m+ 6m2 - 7) 3.) 4(9y + 6 + 8y + 9y + 5) 7
- 8. With a partner you are going to design a lesson to teach 3rd graders how to do distributive property. You need to include: ~ Notes ~Examples ~Problems to try 8
- 9. Homework: 8 Yellow Practice workbook 2.6 p. 39 8 Green Practice workbook 2.7 p. 44 9