Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e.,...

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Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal phrases into numerical expressions and interpret numerical expressions as verbal phrases.

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#8-1 – Using Variables Take out your math textbook and math journal In your journal, copy these notes: – A variable is a part of the math problem that you have to figure out the value of A variable is represented by a letter A variable can CHANGE values – An algebraic expression is the first part of an equation and does not have an equal sign An algebraic expression must have a variable and an operation (+, -, x, ÷)

Transcript of Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e.,...

Page 1: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

Expressions and Equations5.ATO.1 Evaluate numerical expressions

involving grouping symbols (i.e., parentheses, brackets, braces).

5.ATO.2 Translate verbal phrases into numerical expressions and interpret numerical

expressions as verbal phrases.

Page 2: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

What do I have to do?

By the end of this unit you will be able to:– Create an expression or equation from a word

problem

– Use variables to represent what you don’t know

– Explain why a specific expression or equation does or does not represent a word problem

– Create a word problem for a specific equation

Page 3: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

#8-1 – Using Variables

• Take out your math textbook and math journal

• In your journal, copy these notes:– A variable is a part of the math problem that you

have to figure out the value of• A variable is represented by a letter

• A variable can CHANGE values

– An algebraic expression is the first part of an equation and does not have an equal sign• An algebraic expression must have a variable and an

operation (+, -, x, ÷)

Page 4: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

Using Variables to Write Expressions

• Put your math journal under your textbook

• Turn to page 194 in your textbook, follow along as we take turns reading from the section “Other Examples”

• Now I will model problems 1-4 on page 194, wait for me to ask for your help

Page 5: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

WE DO – Try this!

• Let’s work on problems 5-7, you’re going to help!

• Raise your hand, read the problem, give your answer

Page 6: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

WE DO – Try this! ANSWERS

• #5) n = number of CDs

• #6) the variable is “y” the operation is multiplication

• #7) (8 x 3) + n

Page 7: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

YOU DO – Practice on your own

• Write your name and date on a blank sheet of lined paper

• Complete problems #8 – 19 on page 195

• Turn in by 9:20am

• If you finish early, complete the RETEACHING SIDE of 8-1 in your workbook, do not turn in

Page 8: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

Review and Reflect

• In your journal, try to write a word problem that might require a variable.

Page 9: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

8-2 – Order of Operations

• Take out your math textbook and math journal

• In your journal, copy these notes:– Order of Operations

• If you are given the value of the variable, plug it in

• Do the expression(s) inside (parenthesis) first

• Then multiply and/or divide from left to right

• Finally, add and/or subtract from left to right

Page 10: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

Order of Operations

• Put your math journal under your textbook

• Turn to page 196 in your textbook, follow along as we take turns reading from the top of the page and the section “Another Example”

• Now I will model problems 1-4 on page 196, wait for me to ask for your help

Page 11: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

WE DO – Try this!

• Let’s work on problems 5-6, you’re going to help!

• Raise your hand, read the problem, give your answer

Page 12: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

WE DO – Try this! ANSWERS

• #5) Juan added and divided first instead of dividing then multiplying

• #6) (3+5) x 2 – 10 = 6

Page 13: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

YOU DO – Practice on your own

• Write your name and date on a blank sheet of lined paper

• Complete problems #13-28 (all) on page 197

• Turn in by 9:20am

• If you finish early, complete the RETEACHING SIDE of 8-2 in your workbook, do not turn in

Page 14: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.

Review and Reflect

• In your journal, write three expressions that have three or more operations and a set of parenthesis. Was that hard to do?