e Lesson 1.1.1 AIM: KWBAT identify terms, factors and coefficients in expressions, and simplify expressions. Standard: SSE.1a DO MORE Best Buy DVDs & CD s Task Your Grandma just sent you to Best Buy to purchase 2 Tyler Perry DVDs and 3 CDs of Miles Davis (only the best) at the prices listed below. After taxes, her total cost increased by $5.60. 1. How can you write the cost of 2 DVDs as an algebraic expression? 2. How can you write the cost of 2 DVDs and 3 CDs as an algebraic expression? 3. How can you write the cost of 2 DVDs and 3 CDs, increased by $5.60 for taxes, as an algebraic expression? 4. Your Grandma gives you a call and asks you to purchase instead 5 DVDs and 2 CDs, plus taxes. How much money will you have spent? Essential Questions: How are algebraic expressions different from algebraic equations? AIM: KWBAT: Identify parts of an expression such as terms, factors, and coefficients helping them understand the difference between algebraic expressions and algebraic equations. Standard: A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. _(Emphasis on linear expressions and exponential expressions with integer exponents.)
e Lesson 1.1.1 AIM: KWBAT identify terms, factors and coefficients in expressions, and simplify expressions. Standard: SSE.1a The Language of Math Expressions Lesson Part 1 Expression Definitions. These vocab words are vital to speaking math. Algebraic Expression Variable Term Like Terms Coefficient Exponent Base Constant Factors Order of Operations Vocabulary Definition Examples a mathematical statement that includes numbers, operations, and variables to represent a number or quantity the factor being multiplied together in an exponential expression; in the expression ab, a is the base the number multiplied by a variable in an algebraic expression a quantity that does not change the number of times a factor is being multiplied together in an exponential expression; in the expression ab, b is the exponent one of two or more numbers or expressions that when multiplied produce a given product terms that contain the same variables raised to the same power the order in which expressions are evaluated from left to right (grouping symbols, evaluating exponents, completing multiplication and division, completing addition and subtraction) a number, a variable, or the product of a number and variable(s)
CCGPS Coordinate Algebra 2014-2015 Name: Period: Date: Le Lesson 1.1.1 AIM: KWBAT identify terms, factors and coefficients in expressions, and simplify expressions. Standard: SSE.1a a letter used to represent a value or unknown quantity that can change or vary Lesson Part 2 Translating Expressions Now you re talking my language, now you re talking my language Comeback Season First Round of Ind./Group Practice Translations: With your partner, match the appropriate words for each math operation. Half Plus Triple More Than Difference To the power of Sum Decreased Twice Less Than (swaps the order) Raised to a power Take away Increased Cubed Minus Quotient Product Divide by Double Add Times Together Square Squared Addition- (6 words) Subtraction- (5 words) Division- (3 words) Multiplication- (5 words) Exponents- (5 words) Translating (Part Deux): Translate each set of phrases into algebra, and vice- versa. 1. The sum of a number and 10. 2. The product of 9 and x square. 3. 9 less than g to the fourth power. 4. 8 + 3x
e Lesson 1.1.1 AIM: KWBAT identify terms, factors and coefficients in expressions, and simplify expressions. Standard: SSE.1a 5. Four times the difference of x and 2 is 20. 6. The quotient of a number w and 4 is 32. 7. Seventeen more than half a number h is 35. 8. Triple the original number, n, together with 50 is 2,700. Lesson Part 3 Identifying terms, factors, and coefficients in expressions Example 1 Example 2 Identify each term, coefficient, constant, and factor of: Identify each term, coefficient, constant, and factor of: - 5y + 2z 2 + 6. 2(3 + x) + x(1 4x) + 5. The Playoffs Second Round of IND/Group Practice Directions: Identify each term, coefficient, constant, and factor of each expression. You may need to simplify the expression first. 1. Identify each term, coefficient, constant, and factor of: C"(1 + x) t 3x 2. Identify each term, coefficient, constant, and factor of: 12a 3 + 16a + 4 3. Identify each term, coefficient, constant, and factor of: 4x 2 + 3x + 7 4. Identify each term, coefficient, constant, and factor of: 21x 2 + 3x 15x 2 + 9 5. Identify each term, coefficient, constant, and factor of: 5(x 5) + 10x 2 + 5 10 6. Identify each term, coefficient, constant, and factor of: - 5(2x 5) 10x 2 + 2x 2-10
Lesson 1.1.1 AIM: KWBAT identify terms, factors, coefficients in an algebraic expression. U Unit 1 Relationship Between Quantities. Standard: SSE.1a Lesson Part 4 Building Expressions from Word Problems Example 1 Example 2 The iphone 6 is on sale for 25% off its list price. The sale price of the smartphone is $149.25. What expression can be used to represent the list price of the smartphone? Identify each term, coefficient, constant, and factor of the expression described. Expression: Helen purchased 3 books from Amazon and received a 20% discount. The shipping cost was $10 and was not discounted. Write an expression that can be used to represent the total amount Helen paid for 3 books plus the shipping cost. Identify each term, coefficient, constant, and factor of the expression described. Expression: Terms: Factors: Coefficients: Constants: Terms: Factors: Coefficients: Constants: The FINALS Third Round of IND/GROUP Practice. Directions: Complete each questions below using your knowledge of expressions and the language of math. 1. Translate this phrase into an algebraic expression: half the sum of x and y decreased by one- third y. 2. Identify the terms, coefficients, expression in question #1: 3. Translate this phrase into an algebraic expression: the product of 5 and the cube of x, increased by the difference of 6 and x 3 4. Identify the terms, coefficients, expression in question #3: 5. Write an expression with 4 terms, containing the coefficients 3, 6, and 9. 6. Translate this phrase into algebra: We started with x number of students in Mr. Shields class. When 5 moved away, we ended up with 22. 7. Identify the terms, coefficients, equation in question #6: 8. Nadia and some friends went to a movie. Their total cost was $30.24, which included taxes of $2.24. Write an algebraic expression to represent the price of each movie ticket, not including taxes. Let x represent the number of Nadia s friends that went to the movies. 9. Identify the terms, coefficients, factors, and constants of the expression in question #8: 10. The area of a trapezoid can be found by multiplying the height of the trapezoid by half of the sum of base 1 and base 2. 11. Identify the terms, coefficients, expression in question #10: 12. Gavin agrees to buy a 6- month package deal of monthly gym passes d in turn receives a 15% discount. Write an expression to represent the total cost of the monthly passes with the discount, if x represents the cost of each monthly pass. 13. Identify the terms, coefficients, factors, and 14. Andre purchased 10 cans of tennis balls from an online store and received 15. Identify the terms, coefficients, 16. The surface area of a cylinder with radius r and height h is twice the
Lesson 1.1.1 AIM: KWBAT identify terms, factors, coefficients in an algebraic expression. U Unit 1 Relationship Between Quantities. Standard: SSE.1a constants of the expression in question #12: a 25% discount. Shipping cost $5.99. Write an algebraic expression to represent the total cost of the tennis balls with the shipping cost, if x represents the cost of each can. expression in question #15: product of π and the square of the radius plus twice the product of π, the radius, and the height.