Math 6A, Lesson 3, Spring 2017, 03/05/2017

1. Continue on solving equations. Introduce concepts and methods of “isolate”, “move items to other side and change of sign”, “plug the answer/solution back in the equation”

Keyword: isolate, isolate, isolate. The key to solving many equations is to get the variables alone on one side of the equation. To solve a linear equation with one variable, we isolate the variable by following a few simple steps:

• simplify both sides of the equation by combining like terms on each side;
• move all the terms with the variable to one side and all the constants to the other using addition and subtraction, or just moving them to other side with change of signs;
• after simplify the equation that results from the previous step, multiply by the reciprocal of the variable’s coefficient to solve for the variable.
• you can always check your answer by plug the solution back to the variable in the equation, both sides should be equal. if not, go check your calculation.

2. Review Chapter 3.3 Writing Algebraic Expressions to Represent Real-World Situations:

• Concepts: algebraic expression, algebraic formulas, relationship between quantities, unknown variable
• Methods: translate the word problem into math language
• Keyword: translate, translate, translate. Translate the real-world problem sentences to math expressions

3. About 5-8 minutes talking about each student’s school vacation activities, anything NEW and CREATIVE?

4. Home Work:

• page 16: 6,7,8,9,10
• Page 17: 15, 19
• page 29-30: 11,12,13,14,15,16,17,18,19,20
• Fun and challenge: one page each: 6th and 7th grade MATH CONTESTS problems