algebra ii honors - ms. tiscia's math classes · web viewhonors algebra 2 ~ spring 2014 0...

Honors Algebra 2 ~ Spring 2014 Name:_______________________

Unit 1: Functions, Equations, & Graphs

At the end of this unit, you will know how to: Identify functions Analyze transformations of functions Graph piecewise functions Graph and solve absolute value functions Write equations given real world data Graph two variable inequalities Make predictions from linear models Write solutions in interval notation

Day DATE LESSON ASSIGNMENT

1 Wed.1/22

Class Policies and Procedures“People Hunt”

Section 2-1: Relations & Functions

Pg. 1 in packet,Get “procedures” sheet

signedRegister on blackboard

and online textbookComplete Student info PRINT: Notes & packet

2 Thurs.1/23

Parent Functions, Domain/Range, and ShiftsTransformations on Parent Functions

ActivityPacket p. 2

3 Fri.1/24

Section 1-5: Absolute Value Equations and Inequalities

Section 2.5: Absolute Value GraphsSection 2-6: Vertical & Horizontal Translations

Packet Pg. 8 #10-21Packet Pg. 9 #5 – 23

oddPacket Pg. 10 #1 - 6

4 Mon.1/27

Function Poster ActivityReview for Quiz on material from days 1-3

Study for Quiz on material from days

1-3

5Tues.1/28

Quiz on material from days 1-3 Piecewise Functions

Piecewise Handout

6 Wed.1/29

Section 2-4: Using Linear Models/Interpreting Slope of Linear Functions

(Scatterplots, Linear Regression)Packet Pg. 3

7 Thurs.1/30

Section 2-7: Two Variable Equations & Inequalities

Review of absolute value equations and inequalities

(Interval Notation & Matho)

Packet Pg. 4 & 5

8 Fri.1/31 Unit 1 TEST

ACT Review:packet Pg. 7

Print Unit 2 Notes & Packet from

website!!

1. Determine whether each relation is a function. Write yes or no. Identify the domain and range.

Unit 1 Homework Grade:

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Honors Algebra 2 ~ Spring 2014a. b. c.

d. {(-3, 4), (4, 2), (6, 4)} e. {(-8, 3), (2, 5), (-1, 3), (2, -4)}

2. A function h includes the ordered pairs (-2, 1), (1, 2), and (3.5, -0.3). State whether h will still be a function if each ordered pair given below is also included in h.

a. (-2, 2) b. (0, 0) c. (2, 1)

3. Find each value if .

a. f(-3) b. g(3) c. g(a)

d. f(x - 1) e. g(5n) f. g(a + 1)

4. The graph of each figure described below can be a function or a relation that is NOT a function depending on how it appears on a coordinate plane. Graph each figure as both a function and a relation that is NOT a function.

a. set of ordered pairs b. a wavy line c. an angle

Day 2 Homework: Parent Functions, Domain, and RangePart 1: Graph each of the following on your graphing calculator. State the domain and range of each relation in interval notation. Then state the parent function. Domain:____________________

Range: ____________________Parent Function: _____________

Domain:____________________Range: ____________________Parent Function: _____________

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Honors Algebra 2 ~ Spring 2014

Part 2: Graph each pair of functions on the same coordinate plane. Describe a transformation that changes f(x) to g(x).

7. 8.

9. 10.

Key Concept: Transformations of f(x)Vertical Translations

Translation up k units, k > 0 Translation down k units, k > 0

Horizontal Translations Translation right h units, h > 0 Translation left h units, h > 0

Vertical Stretches and Compressions Vertical stretch, a > 1

Vertical compression, 0 < a < 1

Reflections In the x-axis

In the y-axis

Linear Regression Practice!! 1. The table shows the amount of trash produced in the United States from 1960-2000:

a) Use your graphing calculator to find a prediction equation (line of best fit). Write your equation here.Let x = # of years since 1960.

b) Predict the amount of trash in 2010.





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YEAR Trash(millions of tons)1960 881965 1031970 1221975 1281980 1521985 1641990 1962000 234

Honors Algebra 2 ~ Spring 20142. The table below shows the relationship between minutes spent studying and test scores.

Study time (minutes)

10 14 17 22 25 31 34 39

Test Score 57 60 65 68 67 68 73 74

a) Determine the independent and dependent variables.

b) Determine the equation for the line of best fit.

c) Predict the test score of a person who studies for 60 minutes.

3. The table lists the price of a stamp from 1958-2007. Let x=number of years since 1900.

a. Determine the equation for the line of best fit.

b. Predict the cost of a stamp in 2010.

c. Is your answer in problem b realistic? Why or why not?

d. According to your prediction equation, when will a stamp cost $.55?

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Year Stamp Cost1958 .041963 .051968 .061971 .081974 .101975 .131978 .151981 .181985 .221988 .251991 .291995 .321999 .332001 .342002 .372006 .392007 .41

Honors Algebra 2 ~ Spring 2014Unit Test 1 Review Sheet

1. A study was conducted involving 20 students as they prepared for and took the Math section of the SAT Examination.

Hrs. spent studying 1 3 5 9 10 11 13 14 16 22

SAT scores 350 400 450 580 650 690 700 730 770 790a. Use your calculator to find a prediction equation for the data.b. Predict the SAT score for a student who studied 15 hours.c. Based on the above model, how many hours would a student need to study to get a 750 on the SAT?

2. The table below shows the relationship between calories and fat in fast-food hamburgers.

HamburgerA B C D E F G H I

Calories 720 530 510 500 305 410 440 320 598Fat 46 30 27 26 13 20 25 13 26

a. Find a prediction equation for the data.b. A hamburger not on this list has 330 calories. About how much fat would you expect it to have?c. Based on your equation, would you expect a 470-calorie hamburger to have more or less than 27 g of fat? Would you expect a 650-calorie hamburger to have more or less than 33g of fat?

3. Solve & graph each equation or inequality. a. b. c. 4. Determine if each relation is a function. a. {(3,4), (4,5), (5,6), (6,7), (7,8)} b. {(1,1), (1,2), (1,3), (1,4), (1,5)} c. {(10,1), (9,1), (8,1), (7,1), (6,1)} d. {(-2,4), (-3,9), (-4,16), (-5,25), (-6,36)}

5. Find:

6. If

7. Without graphing, identify the vertex of the graph . How is the parent

function transformed?

8. The graph of g(x) is the graph of f(x) = 4x compressed vertically by the factor

and then reflected in the y-axis. What is a function rule for g(x)?

9. What transformations change the graph of f(x) to the graph of g(x)?

10. Graph the following piecewise function:

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11. Graph each of the following: a. y > 3x – 6 b. c.

12. Write the equation of the given graph. Write the domain and range in interval notation. a. b.

13. The graph shows an absolute value function after a translation 4 units up and 3 units left. Write the equation of the original equation.

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Honors Algebra 2 ~ Spring 2014Unit 1 Review Sheet Answers1a) y = 23.82x + 363.24 b) 721 c) 16 hours 2a) y = .07x-9.27 b) 14.3 g c) 470 – less (24g) 650 – more (37g)

3. a)

b) x = 1 c) All reals 4.a) yes b) no c) yes d) yes

5.

6. -5

7. Vertex: (2, 4). The parent is translated 2 units to the right, vertically stretched by the factor of 3, and translated 4 units up.

8. g(x) = -2x

9. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 3 and then translated down 1 unit.

10. See teacher graph.

11)a) b) c)

(line is dotted)

12a) Equation b) Equation Domain = all real numbers Domain = all real numbers Range = Range =

13.

Honors Algebra 2 ~ ACT Review #1#1 For all y, #2 If , and , then y = ?

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Honors Algebra 2 ~ Spring 2014f) 3 g) 1 h) 0 j) -1 k) -3

#3 If , which of the following Inequalities is FALSE?

#4 The relationship between temperature expressed in degrees Celisus and degrees Fahrenheit (F) is given by the formula:

If the temperature is -10 degrees Celsius, what is it in degrees Fahrenheit?

f) -50 g) 14 h) j) k) 46

#5 What is the smallest value of x that satisfies the equation: ?

a) -5 b) -1 c) d) e) 5

#6 Which of the following is equivalent to

?

#7 There are k students in a school. Of these, n% take at least one foreign language. Which of the following expressions represents the number of students who do NOT take a foreign language?

#8 If the expression whenx = -1, what is the value of p?

#9 If the arithmetic mean of four consecutive integers is 14.5, what is the smallest integer?

a) 11 b) 12 c) 13 d) 14 e) 15

#10 The sides of a triangle are in the ratio 4:3:2. If the perimeter of the triangle is 792 units, what is the length of the smallest side?

f) 88 g) 176 h) 200 j) 264 k) 352

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algebra ii honors - ms. tiscia's math classes · web viewhonors algebra 2 ~ spring 2014 0...

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