1.1 evaluating expressions 2017 ink.notebook. August 18, page 7 page 8 Unit 1 Basic Equations and Inequalities. 1.1 Order of Operations.

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1 1.1 evaluating expressions 2017 ink.notebook page 7 page 8 Unit 1 Basic Equations and Inequalities 1.1 Order of Operations page 9 page 10 Lesson Objectives Standards 1.1 Order of Operations Press the tabs to view details. 1

2 Standards Lesson Notes Lesson Objectives Standards Lesson Notes A.SSE.3 F.IF.2 I will evaluate expressions using correct order of operations. I will evaluate expressions. A.SSE.1 Interpret expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.2 Use the structure of an expression to identify the ways to rewrite it. F.IF.2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Press the tabs to view details. Press the tabs to view details. Variable letter or symbol used to represent a number x, y, n need to know what it represents to solve for instance: x = 2 Variable Expression an expression that includes a variable 2x + 3 or 6x NO equal sign and not all numbers (which is an algebraic expression) Exponent A number or variable that indicates repeated multiplication. It is little and raised. ^ x 4 is the power key on the calculator (above the ) Square a number or variable raised to the 2nd power x 2, 4 2, ( 3) 2 Must use () Can use x 2 button on calculator (5th one down on the left side) 2

3 Cube A number or variable raised to the 3 rd power x 3 (-2) 3 use on calculator (above sign) 4 3 enter for 4 3 1) Parenthesis (grouping symbols) ( ) [ ] a) 2) Exponents (little raised numbers) 3) Multiply and Divide Whichever one comes first in the problem working LEFT to RIGHT b) (4) 8 4) Add and Subtract Whichever one comes first in the problem working LEFT to RIGHT 3

4 1.1 evaluating expressions 2017 ink.notebook Evaluate each expression Evaluate each expression. 3. Note: 4

5 1.1 evaluating expressions 2017 ink.notebook Evaluate each variable expression when c = 4, and d = 2. (Substitute each number in for the correct variable and then solve.) 4. c2 + 3d 2cd 5. (9 c)3 d Evaluate each variable expression when c = 4, and d = 2. (Substitute each number in for the correct variable and then solve.) 6. 5

6 7. Given y = 3x 8, what is the value when x = Given y = x 2 + 6, what is the value when x = 3. Note: On Your Whiteboards a) 6

7 Evaluate the variable expression when a = 2, b = 7, and c = 6. b) c) Circle Billy s mistake and then redo the work to find the correct answer. Corrections = = = = 75 3 = 25 On the Worksheet Homework 7

8 Solve using the order of operations. Round to the nearest hundredth if necessary. 1. Solve using the order of operations. Round to the nearest hundredth if necessary Solve using the order of operations. Round to the nearest hundredth if necessary. 3. Evaluate each variable expression when c = 4, and d = c 2 + 3d 2cd

9 Evaluate each variable expression when c = 4, and d = 2. Evaluate each variable expression when c = 4, and d = (9 c) 3 d Given y = 3x 8, what is the value when x = Given y = x 2 + 6, what is the value when x = 3. 9

10 Solve using the order of operations Homework

11 Evaluate each variable expression when a = 2, b = 7, and c = a 2 + b c b Evaluate each variable expression when a = 2, b = 7, and c = b 2 + c 2 2bc 16. (b + a)(b a) + a

12 19. Given y = x 2 4, what is the value when x = Given y = 6x + 7, what is the value when x = Given y = x 2 4, what is the value when x = Given y = 6x + 7, what is the value when x = 8. Convert each decimal to a fraction in lowest terms. Remember you have to fill the screen for repeating decimals and use math enter enter on the graphing calculators or 2 nd PRB on the small TI 36. REVIEW from middle school:

13 Convert each decimal to a fraction in lowest terms. Remember you have to fill the screen for repeating decimals and use math enter enter on the graphing calculators or 2 nd PRB on the small TI Solve each. Leave answers as whole numbers or fractions. Find the answer to the square root first and then multiply it by the front number Solve each. Leave answers as whole numbers or fractions. Find the answer to the square root first and then multiply it by the front number Solve each absolute value. Remember that the solution inside an absolute value symbol always pops out positive or zero

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