8.2. Areas of Circles and Sectors For use with Exploration 8.2. Essential Question How can you find the area of a sector of a circle?
|
|
- Joshua Allen
- 5 years ago
- Views:
Transcription
1 8.2 Areas of Circles and Sectors For use with Exploration 8.2 Essential Question How can ou find the area of a sector of a circle? 1 EXPLORATION: Finding the Area of a Sector of a Circle Work with a partner. A sector of a circle is the region bounded b two radii of the circle and their intercepted arc. Find the area of each shaded circle or sector of a circle. a. entire circle b. one-fourth of a circle x 8 x c. seven-eighths of a circle d. two-thirds of a circle x x 295 Copright Big Ideas Learning, LLC
2 _ 8.2 Areas of Circles and Sectors (continued) 2 EXPLORATION: Finding the Area of a Circular Sector Work with a partner. A center pivot irrigation sstem consists of 00 meters of sprinkler equipment that rotates around a central pivot point at a rate of once ever 3 das to irrigate a circular region with a diameter of 800 meters. Find the area of the sector that is irrigated b this sstem in one da. Communicate Your Answer 3. How can ou find the area of a sector of a circle?. In Exploration 2, find the area of the sector that is irrigated in 2 hours. Copright Big Ideas Learning, LLC 296
3 8.2 Notetaking with Vocabular For use after Lesson 8.2 In our own words, write the meaning of each vocabular term. geometric probabilit sector of a circle Core Concepts Area of a Circle The area of a circle is r A = π r 2 where r is the radius of the circle. Notes: 297 Copright Big Ideas Learning, LLC
4 _ 8.2 Notetaking with Vocabular (continued) Area of a Sector The ratio of the area of a sector of a circle to the area of the whole circle ( πr 2 ) is equal to the ratio of the measure of the intercepted arc to 360. Area of sector APB 2 π r Area of sector APB mab =,or 360 mab = π r P r A B Notes: Extra Practice Practice A In Exercises 1 2, find the indicated measure. 1. area of 2. area of R 7 m 5 cm R In Exercises 3 8, find the indicated measure. 3. area of a circle with a diameter of 1.8 inches. diameter of a circle with an area of 10 square feet Copright Big Ideas Learning, LLC 298
5 8.2 Notetaking with Vocabular (continued) 5. radius of a circle with an area of 65 square centimeters 6. area of a circle with a radius of 6.1 ards 7. areas of the sectors formed b PQR 8. area of Y P cm 10 R Q Y 25 Z X A =.1 square feet 9. You throw a dart at the board shown. Your dart is equall likel to hit an point inside the square board. a. What is the probabilit our dart lands in the smallest triangle? b. What is the probabilit our dart does not land anwhere in the circle? Copright Big Ideas Learning, LLC
6 Practice 11.2 BPractice B In Exercises 1, find the indicated measure. 1. area of a circle with a radius of 6.75 inches 2. area of a circle with a diameter of 3 10 mile 3. radius of a circle with an area of 63.7 square kilometers. diameter of a circle with an area of square ards In Exercises 5 8, find the areas of the sectors formed b JL J 8. 5 J 2.9 cm in m L J 113 L L d L 77 J 9. Find the radius of H. 10. Find the radius of. A =.8 cm 2 F E 88 H G J 25 L A = 1.05 ft 2 In Exercises 11 13, find the area of the shaded region m ft 6 in. in. 1. A tire is hung from a tree. The outside diameter is 3 inches and the inside diameter is 1 inches. You throw a baseball toward the opening of the tire. Your baseball is equall likel to hit an point on the tire or in the opening of the tire. What is the probabilit that ou will throw the baseball through the opening in the tire? Copright Big Ideas Learning, LLC 300
11.2 Areas of Circles and Sectors
11.2 Areas of Circles and Sectors ssential Question How can ou find the area of a sector of a circle? Finding the Area of a Sector of a Circle Work with a partner. A sector of a circle is the region bounded
More information11.2 Start Thinking Warm Up Cumulative Review Warm Up
11.2 Start Thinking The circle in the diagram has a diameter of 14 inches. What is the area of the circle? Use the area of the circle to calculate the area of the sector created b the given measure of
More informationName Date. Work with a partner. Each graph shown is a transformation of the parent function
3. Transformations of Eponential and Logarithmic Functions For use with Eploration 3. Essential Question How can ou transform the graphs of eponential and logarithmic functions? 1 EXPLORATION: Identifing
More informationCHAPTER 9. Geometric Modeling
CHAPTER 9 Geometric Modeling 9.1 Modeling with Area...335 9.2 Modeling with Volume...341 9.3 Cross Sections of Solids...347 9.4 Solids of Revolution...353 333 Name Date Chapter 9 Maintaining Mathematical
More informationMth 076: Applied Geometry (Individualized Sections) MODULE FOUR STUDY GUIDE
Mth 076: pplied Geometry (Individualized Sections) MODULE FOUR STUDY GUIDE INTRODUTION TO GEOMETRY Pick up Geometric Formula Sheet (This sheet may be used while testing) ssignment Eleven: Problems Involving
More informationDefine General Angles and Use Radian Measure
1.2 a.1, a.4, a.5; P..E TEKS Define General Angles and Use Radian Measure Before You used acute angles measured in degrees. Now You will use general angles that ma be measured in radians. Wh? So ou can
More informationACTIVITY: Estimating the Area of a Circle
8. Areas of Circles How can you find the area of a circle? ACTIVITY: Estimating the Area of a Circle Work with a partner. Each square in the grid is unit by unit. a. Find the area of the large 0-by-0 square.
More informationFair Game Review. Chapter 10
Name Date Chapter 0 Evaluate the expression. Fair Game Review. 9 +. + 6. 8 +. 9 00. ( 9 ) 6. 6 ( + ) 7. 6 6 8. 9 6 x 9. The number of visits to a website can be modeled b = +, where is hundreds of visits
More informationMaintaining Mathematical Proficiency
Chapter Maintaining Mathematical Proficienc Find the -intercept of the graph of the linear equation. 1. = + 3. = 3 + 5 3. = 10 75. = ( 9) 5. 7( 10) = +. 5 + 15 = 0 Find the distance between the two points.
More information11.3 areas of circles and sectors 2016 ink.notebook. April 12, Page 134 Page Areas of Circles and Sectors. Standards.
11.3 areas of circles and sectors 2016 ink.notebook Page 134 Page 133 11.3 Areas of Circles and Sectors Round to the nearest Lesson Objectives Standards Lesson Notes 11.3 Areas of Circles and Sectors Lesson
More informationMaintaining Mathematical Proficiency
Name Date Chapter 8 Maintaining Mathematical Proficienc Graph the linear equation. 1. = 5. = + 3 3. 1 = + 3. = + Evaluate the epression when =. 5. + 8. + 3 7. 3 8. 5 + 8 9. 8 10. 5 + 3 11. + + 1. 3 + +
More informationMaintaining Mathematical Proficiency
Name Date Chapter 3 Maintaining Mathematical Proficienc Plot the point in a coordinate plane. Describe the location of the point. 1. A( 3, 1). B (, ) 3. C ( 1, 0). D ( 5, ) 5. Plot the point that is on
More informationCHAPTER 4 Trigonometry
CHAPTER Trigonometr Section. Radian and Degree Measure You should know the following basic facts about angles, their measurement, and their applications. Tpes of Angles: (a) Acute: Measure between 0 and
More information) = 12(7)
Chapter 6 Maintaining Mathematical Proficienc (p. 89). ( ) + 9 = (7) + 9 = (7) 7 + 8 = 8 7 + 8 = 7 + 8 = 7 8 = 9. 8 + 0 = 8 + 0 = 00 + 0 = 0 + 0 = 0 + 60 = 0 = 06. 7 + 6 + (0 ) = 7 + 6 + (0 6) = 7 + 6
More informationFair Game Review. Chapter 9. Find the square root(s) ± Find the side length of the square. 7. Simplify Simplify 63.
Name Date Chapter 9 Find the square root(s). Fair Game Review... 9. ±. Find the side length of the square.. s. s s Area = 9 ft s Area = 0. m 7. Simplif 0. 8. Simplif. 9. Simplif 08. 0. Simplif 88. Copright
More informationMaintaining Mathematical Proficiency
Chapter 7 Maintaining Mathematical Proficiency Simplify the expression. 1. 5x 6 + 3x. 3t + 7 3t 4 3. 8s 4 + 4s 6 5s 4. 9m + 3 + m 3 + 5m 5. 4 3p 7 3p 4 1 z 1 + 4 6. ( ) 7. 6( x + ) 4 8. 3( h + 4) 3( h
More informationMaintaining Mathematical Proficiency
Chapter Maintaining Mathematical Proficiency Simplify the expression. 1. 8x 9x 2. 25r 5 7r r + 3. 3 ( 3x 5) + + x. 3y ( 2y 5) + 11 5. 3( h 7) 7( 10 h) 2 2 +. 5 8x + 5x + 8x Find the volume or surface area
More informationMATH MATH.
A = πr 2 A = πr 2 www.bloggymomma.com www.bloggymomma.com Liquid Equivalents 8 fluid ounces (fl.oz.) = 1 cup (c.) 2 cups (c.) = 1 pint (pt.) 2 pints (pt.) = 1 quart (qt.) 4 quarts (qt.) = 1 gallon (gal.)
More informationEvaluate nth Roots and Use Rational Exponents. p Evaluate nth roots and study rational exponents. VOCABULARY. Index of a radical
. Georgia Performance Standard(s) MMA2a, MMA2b, MMAd Your Notes Evaluate nth Roots and Use Rational Eponents Goal VOCABULARY nth root of a p Evaluate nth roots and stud rational eponents. Inde of a radical
More informationMTH 133: Plane Trigonometry
MTH 133: Plane Trigonometry Radian Measure, Arc Length, and Area Angular and Linear Velocity Thomas W. Judson Department of Mathematics & Statistics Stephen F. Austin State University Fall 2017 Plane Trigonometry
More information3.1 Graph Quadratic Functions
3. Graph Quadratic Functions in Standard Form Georgia Performance Standard(s) MMA3b, MMA3c Goal p Use intervals of increase and decrease to understand average rates of change of quadratic functions. Your
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Arc Length, Area of Sector of a Circle, Angular and Linear Velocity Worksheet Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem.
More informationG.C.B.5: Arc Length 1
Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian
More informationMaintaining Mathematical Proficiency
Name Date Chapter Maintaining Mathematical Proficienc Use the graph to answer the question. A H B F G E C D x 1. What ordered pair corresponds to point A?. What ordered pair corresponds to point H? 3.
More informationIn the same way that you used proportional reasoning to find the length of an arc, you can use proportional reasoning to find the area of a sector.
Name Class Date 16.3 Sector rea Essential Question: How do you find the area of a sector of a circle? Explore Derive the Formula for the rea of a Sector sector of a circle is a region bounded by two radii
More informationG.C.B.5: Arc Length 1
Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian
More informationPi: The Ultimate Ratio
Pi: The Ultimate Ratio Exploring the Ratio of Circle Circumference to Diameter 1 WARM UP Scale up or down to determine an equivalent ratio. 1. 18 miles 3 hours 5? 1 hour 2. $750 4 days 3. 4. 12 in. 1 ft
More information9.1 Practice A. Name Date sin θ = and cot θ = to sketch and label the triangle. Then evaluate. the other four trigonometric functions of θ.
.1 Practice A In Eercises 1 and, evaluate the si trigonometric functions of the angle. 1.. 8 1. Let be an acute angle of a right triangle. Use the two trigonometric functions 10 sin = and cot = to sketch
More informationChapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2.
Chapter 7 Sect. 2 The well-known right triangle relationship called the Pythagorean Theorem is named for Pythagoras, a Greek mathematician who lived in the sixth century b.c. We now know that the Babylonians,
More informationG.C.B.5: Arc Length 1
Regents Exam Questions G.C.B.5: Arc Length www.jmap.org Name: G.C.B.5: Arc Length The diagram below shows circle O with radii OA and OB. The measure of angle AOB is 0, and the length of a radius is inches.
More informationReplacement for a Carpenter s Square
Lesson.1 Skills Practice Name Date Replacement for a arpenter s Square Inscribed and ircumscribed Triangles and Quadrilaterals Vocabulary nswer each question. 1. How are inscribed polygons and circumscribed
More informationSkills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson. Name Date Lots and Projectiles Introduction to Quadratic Functions Vocabular Define each term in our own words.. quadratic function. vertical motion Problem
More informationAn angle on the coordinate plane is in standard form when the vertex is on the origin and one ray lies on the positive x-axis.
Name: Topic: Main Ideas/Questions Notes/Eamples Date: Class: Angles in Standard Form y θ An angle on the coordinate plane is in standard form when the verte is on the origin and one ray lies on the positive
More informationMaintaining Mathematical Proficiency
Name Date Chapter 5 Maintaining Mathematical Proficienc Graph the equation. 1. + =. = 3 3. 5 + = 10. 3 = 5. 3 = 6. 3 + = 1 Solve the inequalit. Graph the solution. 7. a 3 > 8. c 9. d 5 < 3 10. 8 3r 5 r
More information10.1 Inverses of Simple Quadratic and Cubic Functions
Name Class Date 10.1 Inverses of Simple Quadratic and Cubic Functions Essential Question: What functions are the inverses of quadratic functions and cubic functions, and how can ou find them? Resource
More informationCentral Angles and Arcs
Advance Algebra & Trigonometry Angles & Circular Functions Central Angles and Arcs Arc Length 1. A central angle an angle whose vertex lies at the center of the circle: A B ABC is a central angle C 2.
More informationChapter 9. Worked-Out Solutions. Check. Chapter 9 Maintaining Mathematical Proficiency (p. 477) y = 2 x 2. y = 1. = (x + 5) 2 4 =?
Maintaining Mathematical Proficienc (p. ). x + 0x + x + (x)() + (x + ). x 0x + 00 x (x)(0) + 0 (x 0). x + x + x + (x)() + (x + ). x x + x (x)(9) + 9 (x 9). x + x + x + (x)() + (x + ) Check x x +? ()? ()
More informationGeometry Module 5 Unit 1 Practice Exam
Name: Class: Date: Geometry Module 5 Unit 1 Practice Exam Short Answer 1. What are the minor arcs of O? 2. What are the major arcs of O that contain point M? 3. Identify a semicircle that contains C. 1
More informationDays 3 & 4 Notes: Related Rates
AP Calculus Unit 4 Applications of the Derivative Part 1 Days 3 & 4 Notes: Related Rates Implicitly differentiate the following formulas with respect to time. State what each rate in the differential equation
More information7.1 Practice A. w y represents the height of an object t seconds. Name Date
Name Date 7.1 Practice A In Eercises 1 3, find the degree of the monomial. 3 1. 7n. 1 w 5 3 3. 5 In Eercises 4 6, write the polnomial in standard form. Identif the degree and leading coefficient of the
More informationRegents Exam Questions by Topic Page 1 ANGLES: Arc Length NAME:
Regents Exam Questions by Topic Page 1 1. 010725b As shown in the accompanying diagram, a dial in the shape of a semicircle has a radius of 4 centimeters. Find the measure of, in radians, when the pointer
More informationHow can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots
. Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,
More informationMid-Chapter Quiz: Lessons 10-1 through Refer to. 1. Name the circle. SOLUTION: The center of the circle is A. Therefore, the circle is ANSWER:
Refer to. 1. Name the circle. The center of the circle is A. Therefore, the circle is 2. Name a diameter. ; since is a chord that passes through the center, it is a diameter. 3. Name a chord that is not
More informationEssential Question How can you factor a polynomial completely?
REASONING ABSTRACTLY 7.8 To be proficient in math, ou need to know and flexibl use different properties of operations and objects. Factoring Polnomials Completel Essential Question How can ou factor a
More information4-2 Degrees and Radians
Write each decimal degree measure in DMS form and each DMS measure in decimal degree form to the nearest thousandth. 1. 11.773 First, convert 0. 773 into minutes and seconds. Next, convert 0.38' into seconds.
More informationreview for math TSI 55 practice aafm m
Eam TSI Name review for math TSI practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the
More informationCHAPTER 2. Polynomial Functions
CHAPTER Polynomial Functions.1 Graphing Polynomial Functions...9. Dividing Polynomials...5. Factoring Polynomials...1. Solving Polynomial Equations...7.5 The Fundamental Theorem of Algebra...5. Transformations
More informationPractice b =4,h =4 2. b =8,h =2 3. b = 20, h =6. 4. b = 40, h =12 5. b = 3.1, h = b = 4.8, h = b = 100, h =30. 8.
Practice - rea of Parallelogram and Triangle Find the area of each triangle, given the bae b and the height h.. b =,h =. b =,h =. b =, h =. b =, h =. b =., h =.. b =., h =.. b =,h =. b =,h = 9. b =, h
More information11.1 Inverses of Simple Quadratic and Cubic Functions
Locker LESSON 11.1 Inverses of Simple Quadratic and Cubic Functions Teas Math Standards The student is epected to: A..B Graph and write the inverse of a function using notation such as f (). Also A..A,
More informationUnit 6 Introduction to Trigonometry Degrees and Radians (Unit 6.2)
Unit 6 Introduction to Trigonometr Degrees and Radians (Unit 6.2) William (Bill) Finch Mathematics Department Denton High School Lesson Goals When ou have completed this lesson ou will: Understand an angle
More information4.2 Start Thinking. 4.2 Warm Up. 4.2 Cumulative Review Warm Up
. Start Thinking How can ou find a linear equation from a graph for which ou do not know the -intercept? Describe a situation in which ou might know the slope but not the -intercept. Provide a graph of
More informationUsing Properties of Exponents
6.1 Using Properties of Exponents Goals p Use properties of exponents to evaluate and simplify expressions involving powers. p Use exponents and scientific notation to solve real-life problems. VOCABULARY
More informationEssential Question What is the equation of a circle with center (h, k) and radius r in the coordinate plane?
10.7 Circles in the Coordinate Plane Essential Question What is the equation of a circle with center (h, k) and radius r in the coordinate plane? The Equation of a Circle with Center at the Origin Work
More informationAREA Judo Math Inc.
AREA 2013 Judo Math Inc. 7 th grade Geometry Discipline: Blue Belt Training Order of Mastery: Area 1. Square units/area overview 2. Circle Vocab (7G4) 3. What is Pi? (7G4) 4. Circumference of a circle
More informationLesson 9: Examples of Functions from Geometry
Lesson 9: Examples of Functions from Geometry Classwork Exercises As you complete Exercises 1 4, record the information in the table below. Side length (s) Area (A) Expression that describes area of border
More informationFair Game Review. Chapter. Complete the statement qt L cm = in grams oz ml cups
Name Date Chapter 1 Complete the statement. Fair Game Review 1. 5 qt L. 5 cm = in. 3. 00 ml cups 4. 600 grams oz 5. A can of orange juice is 1 ounces. How many grams is the can of orange juice? 6. A recipe
More informationPrecalculus Lesson 6.1: Angles and Their Measure Lesson 6.2: A Unit Circle Approach Part 2
Precalculus Lesson 6.1: Angles and Their Measure Lesson 6.2: A Unit Circle Approach Part 2 Lesson 6.2 Before we look at the unit circle with respect to the trigonometric functions, we need to get some
More informationHow are the parts of a circle related?
Student Handout 1 How are the parts of a circle related? A circle has many specific parts including the Label the parts of the circle below. circumference radius, diameter, and circumference. d r Determine
More information16.2 Arc Length and Radian Measure
Name Class Date 16.2 rc Length and Radian Measure Essential Question: How do you find the length of an arc? Explore Deriving the Formula for rc Length n arc is an unbroken part of a circle consisting of
More informationArc Length We ve already defined radians and talked about a formula for how to calculate them. = s arc length. s r
Arc Length We ve already defined radians and talked about a formula for how to calculate them. = s arc length = r radius From this it s not a huge leap to find a formula that will give us the arc length
More informationBLoCK 4 ~ ratios, rates And PerCents
BLoCK 4 ~ ratios, rates And PerCents circles and similarity Lesson 20 ParTs of circles ------------------------------------------------------ 114 Explore! What Is It? Lesson 21 circumference of a circle
More information5 TRIGONOMETRIC FUNCTIONS
Chapter 5 Trigonometric Functions 705 5 TRIGONOMETRIC FUNCTIONS Figure 5.1 The tide rises and falls at regular, predictable intervals. (credit: Andrea Schaffer, Flickr) 5.1 Angles 5.2 Unit Circle: Sine
More informationReal-World Problems: Circles
11.3 Real-World Problems: Circles Lesson Objectives Solve real-world problems involving area and circumference of circles. Solve real-world problems involving semicircles, quadrants, and composite figures.
More informationSecond Moments or Moments of Inertia
Second Moments or Moments of Inertia The second moment of inertia of an element of area such as da in Figure 1 with respect to any axis is defined as the product of the area of the element and the square
More informationPrecalculus Lesson 6.1: Angles and Their Measure Mrs. Snow, Instructor
Precalculus Lesson 6.1: Angles and Their Measure Mrs. Snow, Instructor In Trigonometry we will be working with angles from We will also work with degrees that are smaller than Check out Shaun White s YouTube
More information11.4 Circumference and Arc Length
11.4 ircumference and rc Length Goal p Find arc lengths and other measures. Your Notes VOULRY ircumference rc length THEOREM 11.8: IRUMFERENE OF IRLE The circumference of a circle is r 5 or 5, where d
More information7.5 Solve Special Types of
75 Solve Special Tpes of Linear Sstems Goal p Identif the number of of a linear sstem Your Notes VOCABULARY Inconsistent sstem Consistent dependent sstem Eample A linear sstem with no Show that the linear
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the appropriate identity to find the indicated function value. Rationalize the denominator,
More informationFair Game Review. Chapter of a mile the next day. How. far will you jog over the next two days? How many servings does the
Name Date Chapter Evaluate the epression.. Fair Game Review 5 +. 3 3 7 3 8 4 3. 4 4. + 5 0 5 6 5. 3 6. 4 6 5 4 6 3 7. 5 8. 3 9 8 4 3 5 9. You plan to jog 3 4 of a mile tomorrow and 7 8 of a mile the net
More informationName Date. Solving Absolute Value Inequalities For use with Exploration EXPLORATION: Solving an Absolute Value Inequality Algebraically
1.3 Solving Absolute Value Inequalities For use with Exploration 1.3 Essential Question How can you solve an absolute value inequality? 1 EXPLORATION: Solving an Absolute Value Inequality Algebraically
More informationChapter 4. Chapter 4 Opener. Section 4.1. Big Ideas Math Blue Worked-Out Solutions. x 2. Try It Yourself (p. 147) x 0 1. y ( ) x 2
Chapter Chapter Opener Tr It Yourself (p. 7). As the input decreases b, the output increases b.. Input As the input increases b, the output increases b.. As the input decreases b, the output decreases
More informationGrade 11 Mathematics Practice Test
Grade Mathematics Practice Test Nebraska Department of Education 00 Directions: On the following pages are multiple-choice questions for the Grade Practice Test, a practice opportunit for the Nebraska
More informationACTIVITY: Comparing Types of Decay
6.6 Eponential Deca eponential deca? What are the characteristics of 1 ACTIVITY: Comparing Tpes of Deca Work with a partner. Describe the pattern of deca for each sequence and graph. Which of the patterns
More information1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =
Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is
More informationSTAAR ZINGERS GRADE 7 MATHEMATICS. Solving the Most-Missed STAAR Test Items NEW TEKS. Use with Your Students!
GRADE 7 MATHEMATICS STAAR ZINGERS NEW TEKS Solving the Most-Missed STAAR Test Items Use with Your Students! Challenging test items engage students. Interactive instruction promotes student thinking. Guided
More informationTo find the areas of circles, sectors, and segments of circles. Getting Ready! Length of Side, s. Number of Sides, n
07 Areas of Circles and Sectors Mathematics Florida Standards MAFS.912.G-C.2.5 Derive.,.the formula for the area of a sector. MP1. MP 3, MP4, MP6, MP 8 Objective To find the areas of circles, sectors,
More information4. exponential decay; 20% 9.1 Practice A found square root instead of cube root 16 =
9.. eponential deca; 0% 9. Practice A.. 7. 7.. 6. 9. 0 7.. 9. 0. found square root instead of cube root 6 = = = 9. = 7, 9. =,.. 7n 7n. 96. =, 97. =, 9. linear function: = + 0 99. quadratic function: =
More information4.1 Practice A. Name Date. as x +. Describe the degree and leading coefficient of the function. as x and f( x)
Name Date. Practice A In Exercises, decide whether the function is a polnomial function. If so, write it in standard form and state its degree, tpe, and leading coefficient.. f( x) = x x + 5x 7. ( ). g(
More informationLaurie s Notes. Overview of Section 5.4
Overview of Section 5. Introduction In this chapter, students have worked with nth roots, writing them in radical form and with rational exponents. The learned that the properties of exponents can be applied
More information1.1 Modeling with Area
1.1 Modeling with Area Essential Question How can you use the population and area of a region to describe how densely the region is populated? Exploring Population and Area Work with a partner. Use the
More informationDIRECTIONS. Pre-Test 1. Evaluate 3(x 2y), if x 5 and y 4. A. 9 B. 7 C. 39 D. 18
DIRECTIONS Read each of the questions below, and then decide on the BEST answer. There are man different kinds of questions, so read each question carefull before marking an answer on our answer sheet.
More informationChapter Fair Game Review Find the missing value in the table. Big Ideas Math Blue 119
Name Date Chapter 6 Fair Game Review Find the missing value in the table... 5 7 5 9 7 6 8.. 6 9 6 8 8 9 8 8 5. 6..5 9.5 5.5 6 5.8 5.8.8.6. Copright Big Ideas Learning, LLC Big Ideas Math Blue 9 Name Date
More informationExample 1 Give the degree measure of the angle shown on the circle.
Section 5. Angles 307 Section 5. Angles Because many applications involving circles also involve q rotation of the circle, it is natural to introduce a measure for the rotation, or angle, between two rays
More informationName Date. Logarithms and Logarithmic Functions For use with Exploration 3.3
3.3 Logarithms and Logarithmic Functions For use with Eploration 3.3 Essential Question What are some of the characteristics of the graph of a logarithmic function? Every eponential function of the form
More informationFair Game Review. Chapter 5. feet and the length is 2x feet. Find the. perimeter of the garden. 24x 5 3. Name Date. Simplify the expression. 6.
Name Date Chapter 5 Fair Game Review Simplif the expression. 1. 2x + 5 x 2. 4 + 2d 4d 3. 7 8 + 6 3 4. 5 + 4z 3 + 3z 5. 4( s + 2) + s 1 6. ( ) 24x 5 3 7. The width of a garden is ( 4x 1) perimeter of the
More informationChapter 8. Chapter 8 Opener. Section 8.1. Big Ideas Math Red Accelerated Worked-Out Solutions 4 7 = = 4 49 = = 39 = = 3 81 = 243
Chapter 8 Opener Try It Yourself (p. 35). trapezoids. circles Large Perimeter Diameter Small Perimeter Diameter Average of Ratios 3. trapezoid, triangle. triangles 5. rectangle, triangle 6. rectangle,
More informationChapter 10. Section 10.1 = 2(27) Practice Problems. The value of 2y + y 6 when y = 3 is 57. The height of the object at 1 second is 514 feet.
Chapter 0 Section 0. Practice Problems. (+ + ( ( + ( ( + (. ( + ( + 0. ( z.z+ + (z.z+. z + z.z.z+ +. z.z+.. +. +... ( + ( + ( + ( ( + ( ( +. (b+ (b 0 (b+ + ( b+ 0 b b+ + 0 b +. ( + + ( + ( + + + ( + +
More informationEssential Question How can you use a quadratic function to model a real-life situation?
3. TEXAS ESSENTIAL KNOWLEDGE AND SKILLS A..A A..E A..A A..B A..C Modeling with Quadratic Functions Essential Question How can ou use a quadratic function to model a real-life situation? Work with a partner.
More information( ) = 28. 2r = d 2 = = r d = r. 2 = r or 1. Free Pre-Algebra Lesson 33! page 1. Lesson 33 Formulas for Circles
Free Pre-Algebra Lesson 33! page 1 Lesson 33 Formulas for Circles What is a Circle? Everyone knows what a circle looks like. A sprinkler line rotates around a center pivot, forming circles of irrigated
More informationIf x = 180 then the arc subtended by x is a semicircle which we know has length πr. Now we argue that:
Arclength Consider a circle of radius r and an angle of x degrees as shown in the figure below. The segment of the circle opposite the angle x is called the arc subtended by x. We need a formula for its
More informationGraph and Write Equations of Circles
TEKS 9.3 a.5, A.5.B Graph and Write Equations of Circles Before You graphed and wrote equations of parabolas. Now You will graph and write equations of circles. Wh? So ou can model transmission ranges,
More information13) = 4 36 = ) = 5-8 = -3 =3 15) = = -58 = 58 16) = 81-9 = 72 = 72
Practice Practice Practice 3 ) (-3) + (-6) = -9 ) () + (-5) = -3 3) (-7) + (-) = -8 4) (-3) - (-6) = (-3) + 6 = + 3 5) (+) - (+5) = -3 6) (-7) - (-4) = (-7) + 4 = -3 7) (5)(-4) = - 8) (-3)(-6) = +8 9)
More informationWrite Quadratic Functions and Models
4.0 A..B, A.6.B, A.6.C, A.8.A TEKS Write Quadratic Functions and Models Before You wrote linear functions and models. Now You will write quadratic functions and models. Wh? So ou can model the cross section
More informationPrecision and Accuracy. Precision and Accuracy. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra1
Precision and Accuracy Warm Up Lesson Presentation Lesson Quiz Convert each measure. Warm Up 1. 3210 mm to centimeters 321 cm 2. 18 in. to feet 1.5 ft 3. 52.5 kg to grams 4. 2.5 lbs to ounces 52,500 g
More informationSystems of Linear Inequalities
. Sstems of Linear Inequalities sstem of linear inequalities? How can ou sketch the graph of a ACTIVITY: Graphing Linear Inequalities Work with a partner. Match the linear inequalit with its graph. + Inequalit
More informationEND OF COURSE ALGEBRA II
VIRINI STNDRDS O LERNIN Spring 007 Released Test END O OURSE LER II orm M07, ORE Propert of the Virginia Department of Education 007 b the ommonwealth of Virginia, Department of Education, P.O. o 0, Richmond,
More information2.4 Radical Equations
2.4. Radical Equations www.ck12.org 2.4 Radical Equations Learning Objectives Solve a radical equation. Solve radical equations with radicals on both sides. Identify extraneous solutions. Solve real-world
More information10.5 Areas of Circles and Sectors
10.5. Areas of Circles and Sectors www.ck12.org 10.5 Areas of Circles and Sectors Learning Objectives Find the area of circles, sectors, and segments. Review Queue Find the area of the shaded region in
More informationNew Jersey Center for Teaching and Learning. Progressive Mathematics Initiative
Slide 1 / 150 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More information