Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e.,...
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![Page 1: Expressions and Equations 5.ATO.1 Evaluate numerical expressions involving grouping symbols (i.e., parentheses, brackets, braces). 5.ATO.2 Translate verbal.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/1.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/2.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/3.jpg)
#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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/4.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/5.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/6.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/7.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/8.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/9.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/10.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/11.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/12.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/13.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082911/5a4d1b967f8b9ab0599c3b2c/html5/thumbnails/14.jpg)
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?