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Cornell Notes: Expressions Topic: Students will be writing and evaluating expressions. Name: ___________________________________ Class/Teacher: __ ________________ Core: ________ Date: __________ Questions/Main Ideas Grade: __6______ Notes/Examples Write and evaluate numerical expressions involving wholenumber exponents. Example 1: 4X4X4=43 Example 2: Evaluate: 20 - 62 ÷9 + 8 20 - 36÷9 + 8 20 - 4 + 8 16 + 8 24 Example 3: Evaluate the numerical expression 81− 25 = 81 - 32 = 49 = 1 72 49 49 Write expressions that record operations with numbers and with letters standing for numbers. Example 1: Write the numerical expression for the written expression: The sum of twenty-five and a number, divided by 3. 25 + n 3 Example 2: Write an algebraic expression for the following: A piece of yarn that is x inches in length is cut into 8 equal pieces. How long is each piece of string? X 8 Identify parts of an expression using mathematical terms: Term - A part of an algebraic equation or a number in a sequence or a series or a product of real numbers and/or variables. Coefficient - A factor of the term. x is the coefficient in the term x(a + b) or 3 is the coefficient in the term 3y. Constant - A value that doesn't change. Example: 10x + 5y + 3z + 9 Which of the following is a true statement of the expression above? a) The expression is a product of 4 terms. b) The expression has 2 variables c) The expression has coefficients of 10, 5, 3, and 9 d) The expression has one constant term, 9. ANSWER : d Evaluate expressions at specific values of their variables. Example 1: Evaluate the following expression for t = 2. 8∗6𝑡 8∗36 288 Example 2: Find the perimeter of the equilateral triangle. 4x 4x 4x 4x + 4x + 4x = 12x Example 3: Evaluate the product of 𝑎5 + 3𝑏 when a=2 and b=4. 25 + 3(4) 32 + 12 44 Summary, Reflection, Analysis: _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________ _________________________________________________________________________________________________