1. The document provides examples to evaluate the expression 2(x+1) for different values of x, and asks students to explain why 2(x+1) is always even and 2(x)+1 is always odd when x is an integer. 2. Students are given a homework assignment involving basic algebraic rules and properties. They complete an activity with a partner involving these rules. 3. The document asks students to rephrase basic algebraic rules without using variables, evaluate expressions using properties like distributive property, and find products of fractions. Patterns in the products are explored. 4. Homework assigned includes a mini quiz, practice problems, and studying for an upcoming test.

1. Opener
Evaluate the expression 2(x+1) for each value of x.
a) 1 b)2 d) 4 d) -2
h) Explain why 2 (x +1) is always even if x is an integer.
i) Explain why 2(x) + 1 is always odd if x is an integer.
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2. 2.4 Homework Questions
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3. Partner Basic Rules Activity
You have 15 minutes.
Raise your hand when you're done for me to check.
Once I have checked, place all of the pieces back into the
baggies. After this, read pages 110 - 111.
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4. 2.5 Rephrasing the Basic Rules
1.) Express each sentence without using variables:
a. Dividing is the same as multiplying by the reciprocal.
b. Subtracting is the same as adding the opposite.
c. If you have a product of two numbers, and you find the
products of the opposites of the numbers, you get the same
result.
d. If you multiply two numbers together and the result is 1,
the numbers are reciprocals.
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5. Binary Operation:
Specially defined operation that takes 2 numbers and
produces one number.
1.) The binary operation is defined by the following rule.
x y = 3x + y
a. Explain how to find 416 = 18
b. Evaluate 614.
c. Is 1 commutative? In other words, does 1 have an any-order
property?
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6. Use the any-order, any-grouping properties and the
Distributive Property to simplify each expression.
Remember to combine like terms.
a. 2(x + 4) + 7 b. 13 + 3(1 + 2x) c. 3(2x - 5) - 8
d. 4(x + 3) + 7(x + 3) e. 6(3 - 2x) - 3(x + 1)
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7. Find each product. Look for patterns.
a. (10/13 54) 13
b. (10/13 81) 13
c.(10/13 1113) 13
d. Describe a pattern.
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8. Homework:
• Pick up mini quiz from Ms. Betzel tomorrow
• Page 113 # 5, 6, 8ab, 11, 12
• STUDY for Chapter 1B/2A Test
*Notes
*Quizzes 3 & 4
* Partner Points Activity
* Basic Rules Activity
* Mathematical Reflections 2A (Page 115)
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