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Algebra 1.1. Variables and Expressions. Learning Targets. Language Goal Students will be able to identify and write the algebraic statement for a verbal or written expression. Math Goal Students will be able to evaluate an algebraic expression. Essential Questions
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Algebra 1.1 Variables and Expressions
Learning Targets Language Goal Students will be able to identify and write the algebraic statement for a verbal or written expression. Math Goal Students will be able to evaluate an algebraic expression. Essential Questions How do you translate between written word and math in order to solve real-world problems?
Brainstorming Key Words + – x ÷
Grocery List Take out a scratch sheet of paper. Repeat only once.
Grocery List Answers • Water • Pop • Bread • Milk • Chips • Soup • Steaks • Carrots • Brownies • Chicken • Yogurt • Salad What did you do to help you speed up the process? How about abbreviations?
Guided Notes Expression • Numerical • Expression • Only has constants and operations • EX. 2 + 7 • 6 ∙ 4 Mathematical Phrase -does not have an equal sign EX. 4+3 y – 7 • Algebraic Expression • Has constants, variables, and operations. • EX. 4 + y • m ÷6
Guided Notes Translate from Algebraic Expression to Words
Guided Notes Translate from Words to Algebraic Expression. These are commonly found in Word Problems.
Vocabulary To find the value of an expression Variable: changes value, and is represented by a letter or symbol Constant: Does not change in value, and is represented with a numerical value What does it mean to evaluate? Explain the difference between a variable and a constant.
Example 1: Give two ways to write each algebraic expression in words. A. x + 3
Example 1: Give two ways to write each algebraic expression in words. B. m - 7
Example 1: Give two ways to write each algebraic expression in words. C. 2 ∙ y
Example 1: Give two ways to write each algebraic expression in words. D. k ÷ 5
Additional Examples 1: Practice Saying… A. 4 – n B. C. 9q D. 3(h)
Example 2: Translate from Words to Algebra A. Eve reads 25 pages per hour. Write an expression for the number of pages she reads in h hours.
Example 2: Translate from Words to Algebra B. Sam is 2 years younger than Sue, who is y years old. Write an expression for Sam’s age.
Example 2: Translate from Words to Algebra C. William runs a mile in 12 minutes. Write an expression for the number of miles that William runs in m minutes.
Additional Example 2: Translate from Words to Algebra A. Lou drives 65mph. Write an expression for the number of miles that Lou drives in t hours. B. Mirian is 5 cm taller than her sister, who is m cm. Tall Write an expression for Mirian’s height in centimeters. C. Elaine earns $32 per day. Write an expression for the amount that she earns in d days.
One more practice problem: Addition Subtraction Multiplication Division Words Algebra
Rally Coach • Partner Up!
Hot Seat Grab a mini whiteboard, marker, and eraser. We will try a few more problems