Math Concepts and Practice for Equations and Functions

9/21: Warm Up 9/21: Warm Up Determine wheter each equation has one solution, no solution, or is an identity. 2y + 4 = 2(y + 2) 3y 5 = y + 2y -9 2y 4 = 3y - 5

9/21 Objective 9/21 Objective I will complete my tests and/ or missing assignments.

Tuesday 9/22 Warm Up Tuesday 9/22 Warm Up 1. Which equation represents the data in the table? Number of Hours Worked, h Number of Paint Cans Remaining, p 0 10 Paint Cans Remaining per Hour A p = 10h 3 B p = 3h 10 C p = 10 3h D p = 3 10h 1 7 2 4 3 1

9/22 Objective 9/22 Objective I will be able to represent mathematical relationships using graphs.

9/22 Assignment 9/22 Assignment Match Graph to Situation: cut out situations and graphs match situation to graph glue onto blank paper write your own situation for blank graphs

Wednesday 9/23 Warm Up Wednesday 9/23 Warm Up Number of Weeks (w) Rule: 3w+ 2 Height of Plant The function rule h = 3w + 2 represents the height in centimeters h of a plant after w weeks of growth. 1 3(1) + 2 5 2 3( ) + 2 Make a table of ordered pairs to show the height of the plant each week for 5 weeks. 3 3( ) + 2 4 3( ) + 2 5 3( ) + 2

9/23 Objective 9/23 Objective I will be able to identify and represent patterns that describe linear functions.

LINEAR LINEAR FUNCTION FUNCTION Makes graphed: Makes when graphed: when Line Line Parent Function y = x function whose graph is a line exponent of x will be 1 has a constant rate of change Standard form: Slope-Intercept form: Ax + By = C y = mx + b

FUNCTION FUNCTION relationship that pairs each input value with exactly one output value (input cannot repeat; output can repeat)

9/23 Think About It: 9/23 Think About It: Identify some things in the photo that will change throughout the day. (variables) Identify some things tin the photo that will remain the same throughout the day. (constant) Journal page 49 Vary or Change Remain Constant

9/23 Think About It: 9/23 Think About It: Journal page 49

INDEPENDENT INDEPENDENT VARIABLE VARIABLE variable that stands alone and isn t changed by other factors INPUT INPUT DOMAIN DOMAIN

DEPENDENT DEPENDENT VARIABLE VARIABLE variable that depends on other factors OUTPUT OUTPUT RANGE RANGE

9/23 Concept Builder 9/23 Concept Builder Journal: page 50 Y Factor: Perimeter X Factor: # of Triangles

Finding an Equation Given X and Y values: ENTE R STEP 1: Calculator Commands STAT STEP 2: Input values Put y values here Put x values here ENTE R ENTE R 2nd y = STEP 3: turn on stat plots ZOO M 9 ZoomStat STEP 4: to graph STEP 5: Determine if it looks like a LINE, a U, or a RAMP? LINE: LINEAR U: QUADRATIC RAMP: EXPONENTIAL STAT STAT CALC CALC STAT CALC 4 5 LinReg (ax+b) QuadReg 0 ExpReg Store RegEQ: Store RegEQ: Store RegEQ: ALPHA TRACE ALPHA TRACE ALPHA TRACE ENTE R ENTE R ENTE R Calculate Calculate Calculate ENTE R ENTE R ENTE R

9/23 Concept Builder 9/23 Concept Builder Journal: page 51 use STAT ENTER handout

RELATION RELATION any set of ordered pairs

9/23 Concept Builder 9/23 Concept Builder Journal: page 51 use STAT ENTER handout

9/24 Warm Up 9/24 Warm Up A plumber finished three jobs on Tuesday. Solve the equation you wrote on Wednesday to answer the question. The first two only cost the owner the $45 trip fee because they took very little time to complete. For the third job, the plumber charged the trip fee plus 6 times his hourly rate. If the plumber received a total of $303 for the day, what is the hourly rate?

9/24 Objective 9/24 Objective I will be able to solve and graph inequalities containing the words and and or .

9/24 Assignment 9/24 Assignment Test Review

9/25 Warm Up 9/25 Warm Up Turn in Warm Up Topic 1 Test

9/25 Objective 9/25 Objective I will demonstrate my mastery of Topic 1 by scoring 70 or more on the topic test.

9/25 Assignment 9/25 Assignment Topic 1 Test