Bellwork Monday, January 29, 2018 Today you need: clipboard and pencil. Which expression has the least value? 45 – (15 ÷ 5) • (2 + 5) (45 – 15) ÷ 5 • 2 + 5 (45 – 15) ÷ (5 • 2) + 5 45 – 15 ÷ 5 • 2 + 5 =24 =17 =8 =44

Simplifying Algebraic Expressions by Combining Like Terms Lesson 6.2.3 Attention… Be sure to look at notes section of each slide for answers and additional instructions. 6.EE.2b, 6.EE.3, 6.EE.4

Today… We are going to learn about the parts that make up an algebraic expression. Tomorrow… We are going to learn how to simplify algebraic expressions by… “combining like terms”.

Let’s Get Started… Section 1 – Vocabulary Section 2 – “Like” Terms Section 3 – Simplifying Expressions by combining the “like” terms (tomorrow)

Terms are separated by either a + or – sign! 4x + y + 9 – x2 Terms are the small parts (or chunks) that make up an expression. This expression has 4 terms. Do you notice anything that might help you identify where each new term starts? Terms are separated by either a + or – sign!

How many terms are in this expression? 9x – 5 + x2 Answer: 3

Constant 5x + y + 8 A constant is a term that has no variable. It is the plain number. 5x + y + 8 Constants are constantly alone!

Coefficient: 5x + y + 8 5 is the coefficient in front of the x 1 is the coefficient in front of the y 5x + y + 8 A coefficient is the number that multiplies the variable. ALL variables have a coefficient. If you don’t see a number in front of the variable, it is assumed to be 1.

Naming Coefficients and Constants When naming coefficients and constants, the sign directly in front goes with it. 3m – 2n + n – 4 Remember: ALL variables have a coefficient. If you don’t see a number in front of the variable, it is assumed to be 1. Coefficients: 3 -2 1 Constants: -4

x + 5x – 2 + y3 A) coefficient B) term C) constant Name the item in blue x + 5x – 2 + y3 Choose one… A) coefficient B) term Pick student volunteer to answer. Then ask… “What kind of 5 is it?” Answer: positive 5 C) constant

12 + k3 A) coefficient B) variable C) constant D) term Name the item in blue 12 + k3 Select all that apply… A) coefficient B) variable C) constant Pick student volunteer to answer D) term

What mathematical term describes the blue item? 7a2 + 3b – 1 term Pick student volunteer to answer

-m – 12 + 4n How many terms are there? 3 Name the coefficients: -1 4 Discuss these with your team, and Recorder/Reporters will share the team’s answers with the class. -m – 12 + 4n How many terms are there? 3 Name the coefficients: -1 4 Name the constants: -12

Student Notes You will now receive notes that go along with this lesson. At the top of the page, you will see the vocabulary we just discussed. Read through Section 1 silently and stand up when you have read and thought through the examples in Section 1 only.

Moving On… Section 1 – Vocabulary Section 2 – “Like” Terms Section 3 – Simplifying Expressions by combining the “like” terms (tomorrow)

Like Terms are terms that have the same What are “Like” Terms? Like Terms are terms that have the same variable and exponent. 5x and 10x n2 and 7n2 14 and 19

Are these like terms? Why? 6b and 9b Yes, they have the same variable and exponent. guided practice

Are these like terms? Why? 5x and 2y No, they do not have the same variable. guided practice

Write either yes or no and explain your answer using words.

Are these like terms? Why? You try Answers: Are these like terms? Why? x2 and 8x2 Yes, they have the same variable and exponent. Have students record the answer on their student notes if you printed them out.

Are these like terms? Why? You try Answers: Are these like terms? Why? 7x and 5x² No, they do not have the same exponent. Have students record the answer on their student notes if you printed them out.

Are these like terms? Why? You try Answers: Are these like terms? Why? 6 and 15 Yes, they are both constants. Have students record the answer on their student notes if you printed them out.

Are these like terms? Why? You try Answers: Are these like terms? Why? 3x and 1 No, they do not have the same variable. Have students record the answer on their student notes if you printed them out.

Are these like terms? Why? You try Answers: Are these like terms? Why? 2m and 6m Yes, they have the same variable and exponent. Have students record the answer on their student notes if you printed them out.

Team Practice

Team Practice Answers

Team Practice Answers

Team Practice Answers Do not put the exponent with the variable when you list it. It only asks for the variable.

Homework