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Math Talk What is 45+78?
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Focused Note Taking – Cornell Notes
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Cornell Note Process Step 1: Create Format Step 2: Organize Notes
Step 3: Review and Revise Notes Step 4: Note Key Ideas Step 5: Exchange Ideas Step 6: Link Learning Step 7: Learning Tool Resources listed from AVID.org
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Set Up Cornell Notes We will go through this process as a class.
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Section 1.2 Order of Operations
Algebra 1
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Learning Targets Define Algebraic Expression, Evaluate
Identify and apply Order of Operations Evaluate a numerical expression Evaluate an algebraic expression
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Example from Social Media
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Order of Operations Definition
1. Parenthesis 2. Exponents 3. Multiply 4. Divide Steps 3 and 4 happen in the order of which operation comes first in the problem 5. Addition 6. Subtraction Steps 5 and 6 happen in the order of which operation comes first in the problem
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Vocabulary Factors and Product
Definition of Factors Quantities being multiplied together Definition of Product Result of multiplying factors Example: In the expression (𝑥+1)∙(𝑥−9), (𝑥+1) and (𝑥−9) are factors. Example: In the equation 2∙4𝑥=8𝑥, 8𝑥 is the product.
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Vocabulary Terms Definition A single number, variable, or product of numbers and variables. Often times, terms are separated by + or −. Example 1: In the expression 2𝑥−4𝑐𝑑+4, 2𝑥, −4𝑐𝑑, and 4 are terms.
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Vocabulary Algebraic Expression, Evaluate
Definition of Algebraic Expression A mathematical phrase consisting of operations between numbers and variables. Definition of Evaluate To substitute specific values for each variable in an expression. Examples: 2𝑥+4 3− 𝑧 6 4𝑐𝑑÷3𝑚𝑛 Example: Evaluate 5𝑥𝑦 when 𝑥=2 and 𝑦=5.
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Order of Operations Evaluate Numerical Expressions
Example 1: Evaluate 16−8÷ Step 1: (Exponents) 16−8÷4+14 Step 2: (Division) 16−2+14 Step 3: (Subtraction) Step 4: (Addition) 28
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Order of Operations Evaluate Numerical Expressions
Example 2: Evaluate 6 32− Step 1: (Parenthesis-Addition) 6 32− 5 2 Step 2: (Parenthesis-Exponents) 6[32−25] Step 3: (Brackets-Subtraction) 6[7] Step 4: (Multiplication) 42
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Order of Operations Evaluate Algebraic Expressions
Example 1: Evaluate 𝑎 2 3𝑏+5 𝑐 when 𝑎=2, 𝑏=6, and 𝑐=4. Step 1: (Plug in values) Step 2: (Parentheses-Multiplication) Step 3: (Parentheses-Addition) Step 4: (Exponents) Step 5: (Multiplication) 92 4 Step 6: (Division) 23
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Exit Ticket for Feedback
Evaluate 10÷2∙4 2−5 2 − −1
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