Objective:
SWBAT develop a definition of like terms. SWBAT combine like terms to generate equivalent expressions and determine equivalence of expressions. Do Now: SILENTLY and INDEPENDENTLY complete the “Think About It" Victoria and Joey want to write an expression to represent the perimeter of the rectangle below. Victoria wrote the expression n + 1 + n + 2 + n + 1 + n + 2 Joey wrote the expression 4n + 6 Whose expression is correct? Explain. Interaction with New Material Packet Unit 6 Lesson 11:
Test the Conjecture #1) Simplify the expression 3w3 + 3n + 2w + n + 4.2 Test the Conjecture #2) Simplify the expression 12x + 12 + 2x – 3 – 4x Partner Work: (continuation from 8/30) 1) Simplify each expression by rewriting the expression in expanded form and combining like terms. The first one has been done for you! Expression Expanded Form Simplified Expression 4n + 3 + 2n n + n + n + n + 3 + n + n 6n + 3 2n + 5 + 3n + 2 9n + 7 – 6n – 2 n + 19 + 6n – 12 – 7n Independent Practice 1) Is 5h + 2 equivalent to 7h? Explain why or why not. Explain: ________________________________________________________________________________ __________ ________________________________________________________________________________ __________ ________________________________________________________________________________ __________ 2) Which expression or expressions are equivalent to 8a + 12b + 4a – 6b. Circle all that apply. a. 12a + 6b b. 29ab c. 17ab d. 11a + 18b 3) Simplify the expression 12h + 17 – 5h – 9 Exit Ticket: 1. Without substituting a value in for x, prove that 3x + 9x – 2x is equivalent to 10x 2. Which expression is equivalent to 7a + 2a + 7 – a – 2? A. 6a – 9 B. 14a – 5 C. 5a – 5 D. 8a + 5 3. Simplify: 5n 2 + 13n + 4 – 7n + 9.8 Objective: SWBAT identify and explain when two expressions are equivalent regardless of which value is substituted in for the variable
Do Now: SILENTLY and INDEPENDENTLY complete the “Combining Like Terms” worksheet in your Math notebook Review Exit Ticket from September 5th. Interaction with New Material Packet Unit 6 Lesson 10:
Test the Conjecture #1) Is the following equation true? 4m + 12 = 2(m + 6) Test the Conjecture #2) Ms. Joseph wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression. (x + 2.1) + w Here is what the students wrote. - Sharayia wrote 2.1x + w - Jamal wrote x + (2.1 + w) - Christian wrote 2.1xw Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression? Partner Work: (continuation from 8/30) 1) Are p + p + p + p and 3p equivalent? Prove it. If the two expressions are not equivalent, revise the second expression (3p) to be equivalent to the first expression. _______________________________________________ 2) Will the two expressions always be equivalent, regardless of the value of p? Explain your answer below. 3 x (p x 2) and (3 x p) x 2 Independent Practice 1) Is the equation true for all values of m? m x 5 = 5 x m Explain: ________________________________________________________________________________ __________ ________________________________________________________________________________ __________ ________________________________________________________________________________ __________ 2) Which expression or expressions are equivalent to the expression below? 5(y – 2) + 12 a. 5y – (2 + 12) b. 5y – 10 + 12 c. 5y + 2 d. 5(2 – y) + 12 3) Is the equation true for all values of r? 8 + (r + ) = (8 + r) + Exit Ticket: 2. Which value for n makes the two expressions equivalent? 20 + n = 4 + 20 N = ___________ 3. Jane says n + (½ + m) and (n + ¼) + m are equivalent expressions. Her friend Colleen says the expressions cannot be equivalent. Who do you agree with and why? Provide evidence. Objective: SWBAT use variables to write and evaluate expressions when solving a real-world problem
Do Now: Combining like terms worksheet https://cdn.kutasoftware.com/Worksheets/Alg1/Combining%20Like%20Terms.pdf Interaction with New Material (continuation from 9/4) Nancy went to the store with a $20 bill and bought a certain number of bagels that each cost $0.99 and an orange juice for $1.50. How much change would she receive if she bought 5 bagels? Partner Work: (continuation from 8/30) 1) Write an expression to represent each mathematical phrase and simplify the expression for n = 7 a) Five less than n Expression: ______________________ Value: __________________________ b) 4.5 more than the quotient of 49 and n Expression: ______________________ Value: __________________________ c) Joelle has n dollars. Her sister has five times as much money as her. Expression: ______________________ Value: __________________________ Independent Practice 1) Write an expression to represent each mathematical phrase and simplify the expression for n = 3.5 a) The product of four and a number Expression: ______________________ Value: __________________________ b) Eight less than triple a number Expression: ______________________ Value: __________________________ c) The product of a number and fifteen, decreased by eight Expression: ______________________ Value: __________________________ Exit Ticket: 1. Write an algebraic expression for the following: the product of 5 and the sum of 9 and y. If y = 3, what is the value of the expression? 2. Sam makes $15 per hour mowing lawns. He makes an additional $16 each day because his neighbor always gives him a tip. If Sam mows 9 lawns today, how much does he make? Write and evaluate an expression. Objective: SWBAT evaluate expressions at specific values of their variables using substitution in the conventional order Do Now: Find the Missing Numbers in the Equation Worksheet file:///Users/elanadunbar/Downloads/algebra_missing_numbers_operations_0109_variables_001.pdf Interaction with New Material (continuation from 8/30) Ex. 1) What is the value of the expression when w = ½? (3 – w + 0.5)2 – 4w3 Partner Work: (continuation from 8/30) Exit Ticket: 1. If j = 2, evaluate the following expression using substitution: 4j – j 3 + 3 ¾ 2. To find the total surface area of a cube, you use the expression 6s 2 . What is the surface area of a cube with a side length of 7 inches? Think About It: (Unit 6 Lesson 9) Noah collects box tops for his school. Each day, he collects 15 more box tops. Before he started collecting box tops, his grandmother gave him 25 box tops to start his collection. a) Write an expression that represents the number of box tops Noah has after any number of days b) How many box tops will Noah have after 20 days? 200 days? |