Sum of Angle Measures in a Triangle 6.8.A. Use a straightedge to draw a large triangle. Label the angles 1, 2, and 3.
|
|
|
- Allen Curtis
- 6 years ago
- Views:
Transcription
1 ? LESSON 15.2 ESSENTIL QUESTION Sum of ngle Measures in a Triangle How do you use the sum of angles in a triangle to find an unknown angle measure? Epressions, equations, and relationships 6.8. Etend previous knowledge of triangles and their properties to include the sum of angles in a triangle EXPLORE TIVITY 6.8. Eploring ngles in a Triangle Recall that a triangle is a closed figure with three line segments and three angles. The measures of the angles of a triangle have a special relationship with one another. 2 Use a straightedge to draw a large triangle. Label the angles 1, 2, and Use scissors to cut out the triangle. Tear off the three angles. rrange them around a point on a line as shown What is the measure of the straight angle formed by the three angles? E What is the sum of the measures of the three angles? Eplain. Houghton Mifflin Harcourt Publishing ompany F Reflect ompare your results with those of your classmates. What guess can you make? 1. Justify Reasoning How can you show that your guess is correct? Lesson
2 Finding an ngle Measure in a Triangle Math On the Spot Sum of ngle Measures of a Triangle The sum of the measures of the angles in a triangle is m 1 + m 2 + m 3 = 180 EXMPLE Fountain Place, shown to the right, is a 720-foot allas skyscraper. Find the measure of the unknown angle in the triangle at the top of the building. m 1 + m 2 + m 3 = = = 180 The sum of the angle measures in a triangle is 180. Write an equation. dd = 50 Subtract 130 from both sides. Math Talk Mathematical Processes an a triangle have two obtuse angles? Why or why not? Personal Math Trainer Online ssessment and Intervention The angle at the top of the triangle measures 50. YOUR TURN Find the unknown angle measures E 100 F J = = K L Houghton Mifflin Harcourt Publishing ompany 430 Unit 5
3 Finding ngles in an Equilateral Triangle Recall that an equilateral triangle has three congruent sides and three congruent angles. EXMPLE Math On the Spot Find the angle measures in the equilateral triangle. 3 = = = 60 Write an equation. ivide both sides by 3. Each angle in an equilateral triangle measures 60. Reflect 4. Multiple Representations Write a different equation to find the angle measures in Eample 2. Will the answer be the same? Eplain. 5. raw onclusions Triangle is a right triangle. What conclusions can you draw about the measures of the angles of the triangle? Houghton Mifflin Harcourt Publishing ompany YOUR TURN Write an equation to find the unknown angle measure in each triangle. 6. The measures of two of the angles are 25 and The measures of two of the angles are The measures of two of the angles are 35. Personal Math Trainer Online ssessment and Intervention Lesson
4 Guided Practice 1. The sum of the angle measures in a triangle is. (Eplore ctivity) Find the unknown angle measure in each triangle. (Eamples 1 and 2) 2. m R + m S + m T = + + = S 105 T + = - - R 42 = 3. K J 42 L 28 = = 5. G M 61 F 28 H P 59 N = =? 7. The measures of two of the angles are The measures of two of the angles are 50 and 30. ESSENTIL QUESTION HEK-IN 9. rlen knows the measures of two angles of a triangle. Eplain how he can find the measure of the third angle. Why does your method work? Houghton Mifflin Harcourt Publishing ompany 432 Unit 5
5 N Name lass ate 15.2 Independent Practice 6.8. Figure represents a garden crossed by straight walkway. Use the figure for Personal Math Trainer P Online ssessment and Intervention 16. n observer at point O sees airplane P directly over airport. The observer measures the angle of the plane at Find m. 88 O Find m P Eplain how you found m. The map shows the intersection of three streets in San ntonio s River Walk district. Use the map for Find m. ll S Houghton Mifflin Harcourt Publishing ompany 13. Eplain how you found m. 14. Find m. 15. Eplain how you found m. 48 n h y 17. Find the measures of the three angles of the triangle. 18. Eplain how you found the angle measures. Lesson
6 FOUS ON HIGHER ORER THINKING Work rea 19. Persevere in Problem Solving Find the measure of. Eplain how you found your answer ommunicate Mathematical Ideas Eplain how you can use the figure to find the sum of the measures of the angles of quadrilateral. What is the sum? 21. raw onclusions Recall that a right triangle is a triangle with one right angle. One angle of a triangle measures degrees. an the triangle be a right triangle? Eplain your reasoning. Houghton Mifflin Harcourt Publishing ompany 434 Unit 5
7.3 Triangle Inequalities
Name lass Date 7.3 Triangle Inequalities Essential Question: How can you use inequalities to describe the relationships among side lengths and angle measures in a triangle? Eplore G.5.D Verify the Triangle
13.3 Special Right Triangles
Name lass ate. Special Right Triangles Essential Question: What do you know about the side lengths and the trigonometric ratios in special right triangles? Eplore Investigating an Isosceles Right Triangle
1.2 Perpendicular Lines
Name lass ate 1.2 erpendicular Lines Essential Question: What are the key ideas about perpendicular bisectors of a segment? 1 Explore onstructing erpendicular isectors and erpendicular Lines You can construct
15.3 Tangents and Circumscribed Angles
Name lass ate 15.3 Tangents and ircumscribed ngles Essential uestion: What are the key theorems about tangents to a circle? esource Locker Explore Investigating the Tangent-adius Theorem tangent is a line
18.3 Special Right Triangles
Name lass Date 18.3 Special Right Triangles Essential Question: What do you know about the side lengths and the trigonometric ratios in special right triangles? Eplore 1 Investigating an Isosceles Right
12.1 Triangle Proportionality Theorem
Name lass Date 12.1 Triangle Proportionality Theorem ssential Question: When a line parallel to one side of a triangle intersects the other two sides, how does it divide those sides? Resource Locker xplore
14.3 Tangents and Circumscribed Angles
Name lass Date 14.3 Tangents and ircumscribed ngles Essential uestion: What are the key theorems about tangents to a circle? Explore G.5. Investigate patterns to make conjectures about geometric relationships,
UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 9: Proving Theorems About Triangles Instruction
Prerequisite Skills This lesson requires the use of the following skills: identifying and using vertical angles, supplementary angles, and complementary angles to find unknown angle measures recognizing
Name Class Date. Investigating an Isosceles Right Triangle. x B Let the legs of the right triangle have length x. You can use the Pythagorean
Name lass ate pplying Special Right Triangles Going eeper Essential question: What can you say about the side lengths associated with special right triangles? 5-8 There are two special right triangles
KEY EXAMPLE (Lesson 23.1) Find the coordinates of the circumcenter of the triangle. Coordinates: A (-2, -2), B (2, 3), C (2, -2) 2) Midpoint of BC
Houghton Mifflin Harcourt Publishing ompan STUDY GUIDE REVIEW Special Segments in Triangles Essential Question: How can ou use special segments in triangles to solve real-world problems? KEY EXMPLE (Lesson
) = (0, -2) Midpoint of AC ) = ( 2, MODULE. STUDY GUIDE REVIEW Special Segments in Triangles
Houghton Mifflin Harcourt Publishing ompan STUDY GUIDE REVIEW Special Segments in Triangles Essential Question: How can ou use special segments in triangles to solve real-world problems? KEY EXMPLE (Lesson
Angles and Fractional Parts of a Circle. How can you relate angles and fractional parts of a circle?
? Name. Essential Question ngles and Fractional Parts of a ircle How can you relate angles and fractional parts of a circle? Geometry and Measurement.7. MTHEMTIL PROESSES..,..E,..F Investigate Materials
SYSTEMS OF THREE EQUATIONS
SYSTEMS OF THREE EQUATIONS 11.2.1 11.2.4 This section begins with students using technology to eplore graphing in three dimensions. By using strategies that they used for graphing in two dimensions, students
Solving Linear Systems by Substitution. ESSENTIAL QUESTION How can you solve a system of linear equations by using substitution? A-REI.3.
L E S S O N 9.2 Solving Linear Systems by Substitution A-REI.3.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Determining Slope and y-intercept 8.4.C. Find the slope of the line using the points (0, 4) and (-3, 6).
? LESSON. Determining Slope and -intercept ESSENTIAL QUESTION Proportionalit 8..C Use data from a table or graph to determine the rate of change or slope and -intercept in mathematical and real-world problems.
Evaluate: Homework and Practice
valuate: Homework and Practice Identify the chord (s), inscribed angle (s), and central angle (s) in the figure. The center of the circles in xercises 1, 2, and 4 is. Online Homework Hints and Help xtra
6.2 Describing Functions
? LESSN. Describing Functions ESSENTIAL QUESTIN Proportionalit.5.H Identif eamples of proportional and nonproportional functions that arise from mathematical and real-world problems. Also.5.G What are
Rate of Change and Slope. ESSENTIAL QUESTION How do you find a rate of change or a slope?
? LESSN 3.2 Rate of Change and Slope ESSENTIAL QUESTIN How do ou find a rate of change or a slope? Investigating Rates of Change A rate of change is a ratio of the amount of change in the output to the
Honours Advanced Algebra Unit 2: Polynomial Functions What s Your Identity? Learning Task (Task 8) Date: Period:
Honours Advanced Algebra Name: Unit : Polynomial Functions What s Your Identity? Learning Task (Task 8) Date: Period: Introduction Equivalent algebraic epressions, also called algebraic identities, give
Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry
2-4 Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Write a conditional statement from each of the following. 1. The intersection of two lines is a point. If two lines intersect, then they intersect
2-4. Holt McDougal Geometry
Warm Up Write a conditional statement from each of the following. 1. The intersection of two lines is a point. If two lines intersect, then they intersect in a point. 2. An odd number is one more than
7.4. The Primary Trigonometric Ratios. LEARN ABOUT the Math. Connecting an angle to the ratios of the sides in a right triangle. Tip.
The Primary Trigonometric Ratios GOL Determine the values of the sine, cosine, and tangent ratios for a specific acute angle in a right triangle. LERN OUT the Math Nadia wants to know the slope of a ski
Activity Sheet 1: Constructions
Name ctivity Sheet 1: Constructions Date 1. Constructing a line segment congruent to a given line segment: Given a line segment B, B a. Use a straightedge to draw a line, choose a point on the line, and
8.2 Investigate Parallelograms
Investigating g Geometry TIVITY 8.2 Investigate arallelograms T E I graphing calculator or computer Use before esson 8.2 classzone.com Keystrokes Q U E T I O N What are some of the properties of a parallelogram?
10.2 Graphing Exponential Functions
Name Class Date 10. Graphing Eponential Functions Essential Question: How do ou graph an eponential function of the form f () = ab? Resource Locker Eplore Eploring Graphs of Eponential Functions Eponential
Solving Systems of Linear Equations by Graphing. ESSENTIAL QUESTION How can you solve a system of equations by graphing? 8.9 Slope-intercept form
? LESSN. Solving Sstems of Linear Equations b Graphing ESSENTIAL QUESTIN How can ou solve a sstem of equations b graphing? Epressions, equations, and relationships.9 Identif and verif the values of and
Solving Right Triangles Using Trigonometry Examples
Solving Right Triangles Using Trigonometry Eamples 1. To solve a triangle means to find all the missing measures of the triangle. The trigonometri ratios an be used to solve a triangle. The ratio used
12.1 Triangle Proportionality Theorem
ame lass Date 12.1 Triangle roportionality Theorem ssential Question: When a line parallel to one side of a triangle intersects the other two sides, how does it divide those sides? Resource ocker xplore
13.1 Exponential Growth Functions
Name Class Date 1.1 Eponential Growth Functions Essential Question: How is the graph of g () = a b - h + k where b > 1 related to the graph of f () = b? Resource Locker Eplore 1 Graphing and Analzing f
Cumulative Test 1. Name Date. In Exercises 1 5, use the diagram at the right. Answers
umulative Test In Eercises 5, use the diagram at the right.. Name the intersection of E @##$ and @##$. E. 2. Name the intersection of plane and plane E. 3. re points,, and collinear? 2. 3. 4. re points
15.5 Angle Relationships in Circles
ame lass ate 15.5 ngle Relationships in ircles ssential uestion: What are the relationships between angles formed by lines that intersect a circle? xplore xploring ngle Measures in ircles The sundial is
5.3 Interpreting Rate of Change and Slope
Name Class Date 5.3 Interpreting Rate of Change and Slope Essential question: How can ou relate rate of change and slope in linear relationships? Resource Locker Eplore Determining Rates of Change For
Cumulative Test 1. Name Date. In Exercises 1 5, use the diagram at the right. Answers
Name Date umulative Test In Eercises 5, use the diagram at the right.. Name the intersection of ED @##$ and @##$ D. E. 2. Name the intersection of plane D and plane E. 3. re points,, and D collinear? 2.
Essential Question How can you use a flowchart to prove a mathematical statement?
.6 Proving Geometric Relationships OMMON OR Learning Standard HSG-O..9 MOLING WITH MTHMTIS To be proficient in math, you need to map relationships using such tools as diagrams, two-way tables, graphs,
13.2 Exponential Growth Functions
Name Class Date. Eponential Growth Functions Essential Question: How is the graph of g () = a b - h + k where b > related to the graph of f () = b? A.5.A Determine the effects on the ke attributes on the
Angle-Side-Angle Congruence Theorem
ngle to the Left of Me, ngle to the Right of Me ngle-side-ngle ongruence Theorem. Learning Goals In this lesson, you will: Explore the ngle-side-ngle ongruence Theorem using constructions. Explore the
7.2 Connecting Intercepts and Linear Factors
Name Class Date 7.2 Connecting Intercepts and Linear Factors Essential Question: How are -intercepts of a quadratic function and its linear factors related? Resource Locker Eplore Connecting Factors and
Real Numbers. UNIT 1 Study Guide Review. Key Vocabulary EXAMPLE 1 EXAMPLE 2 EXAMPLE 3. C _ 13 irrational, real
? UNIT 1 Study Guide Review MODULE 1 ESSENTIL QUESTION Real Numbers How can you use real numbers to solve real-world problems? EXMPLE 1 Write 0. _ as a fraction in simplest form. x = 0. 100x =. -x -0.
Lesson 10 Problem Set
Lesson 10 Problem Set Write an equation and solve for the measure of. Verify the measurement using a protractor. 1. is a right angle. 2. is a right angle. A E 45 45 + = 90 F 20 + = G = = 3. is a straight
Honors Advanced Algebra Unit 2 Polynomial Operations September 14, 2016 Task 7: What s Your Identity?
Honors Advanced Algebra Name Unit Polynomial Operations September 14, 016 Task 7: What s Your Identity? MGSE9 1.A.APR.4 Prove polynomial identities and use them to describe numerical relationships. MGSE9
Reasoning and Proof Unit
Reasoning and Proof Unit 1 2 2 Conditional Statements Conditional Statement if, then statement the if part is hypothesis the then part is conclusion Conditional Statement How? if, then Example If an angle
The Pythagorean Theorem and Its Converse
The and Its onverse Use the. Use the converse of the. Vocabulary Pythagorean triple Study Tip Look ack To review finding the hypotenuse of a right triangle, see Lesson 1-3. are right triangles used to
10.2 Graphing Square Root Functions
Name Class Date. Graphing Square Root Functions Essential Question: How can ou use transformations of a parent square root function to graph functions of the form g () = a (-h) + k or g () = b (-h) + k?
4.2 Parabolas. Explore Deriving the Standard-Form Equation. Houghton Mifflin Harcourt Publishing Company. (x - p) 2 + y 2 = (x + p) 2
COMMON CORE. d Locker d LESSON Parabolas Common Core Math Standards The student is epected to: COMMON CORE A-CED.A. Create equations in two or more variables to represent relationships between quantities;
A.5. Solving Equations. Equations and Solutions of Equations. Linear Equations in One Variable. What you should learn. Why you should learn it
A46 Appendi A Review of Fundamental Concepts of Algebra A.5 Solving Equations What you should learn Identify different types of equations. Solve linear equations in one variable and equations that lead
Mathematics Success Grade 8
Mathematics Success Grade 8 T821 [OJETIVE] The student will apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [PREREQUISITE SKILLS] Pythagorean Theorem squares
Essential Question How can you cube a binomial? Work with a partner. Find each product. Show your steps. = (x + 1) Multiply second power.
4.2 Adding, Subtracting, and Multiplying Polynomials COMMON CORE Learning Standards HSA-APR.A.1 HSA-APR.C.4 HSA-APR.C.5 Essential Question How can you cube a binomial? Cubing Binomials Work with a partner.
5.3 Interpreting Rate of Change and Slope - NOTES
Name Class Date 5.3 Interpreting Rate of Change and Slope NOTES Essential question: How can ou relate rate of change and slope in linear relationships? Eplore A1.3.B calculate the rate of change of a linear
15.4 Equation of a Circle
Name Class Date 1.4 Equation of a Circle Essential Question: How can ou write the equation of a circle if ou know its radius and the coordinates of its center? Eplore G.1.E Show the equation of a circle
Objectives To find the measure of an inscribed angle To find the measure of an angle formed by a tangent and a chord
1-3 Inscribed ngles ommon ore State Standards G-.. Identify and describe relationships among inscribed angles, radii, and chords. lso G-..3, G-..4 M 1, M 3, M 4, M 6 bjectives To find the measure of an
Distance in the Plane
Distance in the Plane The absolute value function is defined as { x if x 0; and x = x if x < 0. If the number a is positive or zero, then a = a. If a is negative, then a is the number you d get by erasing
5.1 Understanding Linear Functions
Name Class Date 5.1 Understanding Linear Functions Essential Question: What is a linear function? Resource Locker Eplore 1 Recognizing Linear Functions A race car can travel up to 210 mph. If the car could
15.2 Graphing Logarithmic
_ - - - - - - Locker LESSON 5. Graphing Logarithmic Functions Teas Math Standards The student is epected to: A.5.A Determine the effects on the ke attributes on the graphs of f () = b and f () = log b
4.1 Circles. Deriving the Standard-Form Equation of a Circle. Explore
Name Class Date 4.1 Circles ssential Question: What is the standard form for the equation of a circle, and what does the standard form tell ou about the circle? plore Deriving the Standard-Form quation
CN#4 Biconditional Statements and Definitions
CN#4 s and Definitions OBJECTIVES: STUDENTS WILL BE ABLE TO WRITE AND ANALYZE BICONDITIONAL STATEMENTS. Vocabulary biconditional statement definition polygon triangle quadrilateral When you combine a conditional
Unit 5, Lesson 4.3 Proving the Pythagorean Theorem using Similarity
Unit 5, Lesson 4.3 Proving the Pythagorean Theorem using Similarity Geometry includes many definitions and statements. Once a statement has been shown to be true, it is called a theorem. Theorems, like
The slope, m, compares the change in y-values to the change in x-values. Use the points (2, 4) and (6, 6) to determine the slope.
LESSON Relating Slope and -intercept to Linear Equations UNDERSTAND The slope of a line is the ratio of the line s vertical change, called the rise, to its horizontal change, called the run. You can find
LEARN ABOUT the Math
1.5 Inverse Relations YOU WILL NEED graph paper graphing calculator GOAL Determine the equation of an inverse relation and the conditions for an inverse relation to be a function. LEARN ABOUT the Math
4.3 Isosceles and Equilateral
4.3 Isosceles and quilateral Triangles Goal Use properties of isosceles and equilateral triangles. Key Words legs of an isosceles triangle base of an isosceles triangle base angles Geo-ctivity Properties
Tower of PISA. Standards Addressed
Tower of PISA Standards Addressed. The Standards for Mathematical Practice, especially:. Make sense of problems and persevere in solving them and. Reason abstractly and quantitatively.. 8.G.B.5: Apply
Proportions in Triangles
- roportions in Triangles ontent tandard G.RT. rove theorems about triangles...a line parallel to one side of a triangle divides the other two proportionally... Objective To use the ide-plitter Theorem
Honors Geometry Circle Investigation - Instructions
Honors Geometry ircle Investigation - Instructions 1. On the first circle a. onnect points and O with a line segment. b. onnect points O and also. c. Measure O. d. Estimate the degree measure of by using
proportional and nonproportional ESSENTIAL QUESTION How can you distinguish between proportional and nonproportional situations?
? LESSN. Proportional and Nonproportional Situations ESSENTIAL QUESTIN How can ou distinguish between proportional and nonproportional situations? Distinguish Between Proportional and Nonproportional Situations
10.3 Coordinate Proof Using Distance with Segments and Triangles
Name Class Date 10.3 Coordinate Proof Using Distance with Segments and Triangles Essential Question: How do ou write a coordinate proof? Resource Locker Eplore G..B...use the distance, slope,... formulas
7.1 Connecting Intercepts and Zeros
Locker LESSON 7. Connecting Intercepts and Zeros Common Core Math Standards The student is epected to: F-IF.7a Graph linear and quadratic functions and show intercepts, maima, and minima. Also A-REI.,
Essential Question How can you verify a trigonometric identity?
9.7 Using Trigonometric Identities Essential Question How can you verify a trigonometric identity? Writing a Trigonometric Identity Work with a partner. In the figure, the point (, y) is on a circle of
Original site. translation. transformation. Decide whether the red figure is a translation of the blue figure. Compare a Figure and Its Image
Page of 8 3.7 Translations Goal Identif and use translations. Ke Words translation image transformation In 996, New York Cit s Empire Theater was slid 70 feet up 2nd Street to a new location. Original
15.2 Graphing Logarithmic
Name Class Date 15. Graphing Logarithmic Functions Essential Question: How is the graph of g () = a log b ( h) + k where b > and b 1 related to the graph of f () = log b? Resource Locker Eplore 1 Graphing
Ratios and Proportions. To write ratios and solve proportions
7-1 Ratios and Proportions Content Standard Prepares for G.SRT. Use... similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Objective To write ratios and
Student Outcomes. Lesson Notes. Classwork. Example 1 (5 minutes) Students apply knowledge of geometry to writing and solving linear equations.
Student Outcomes Students apply knowledge of geometry to writing and solving linear equations. Lesson Notes All of the problems in this lesson relate to what students have learned about geometry in recent
Essential Question: How do you draw the image of a figure under a rotation? Explore Exploring Rotations
OMMON ORE Locker LESSON ommon ore Math Standards The student is epected to: OMMON ORE G-O.. Develop definitions of rotations... in terms of angles, circles,... and line segments. lso G-O.., G-O..5, G-O..6
Adding Integers with Different Signs. ESSENTIAL QUESTION How do you add integers with different signs? COMMON CORE. 7.NS.1, 7.NS.
? LESSON 1.2 Adding Integers with Different Signs ESSENTIAL QUESTION How do you add integers with different signs? 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and
Triangles. Exercise 4.1
4 Question. xercise 4. Fill in the blanks using the correct word given in brackets. (i) ll circles are....(congruent, similar) (ii) ll squares are....(similar, congruent) (iii) ll... triangles are similar.
6.3 Interpreting Vertex Form and Standard Form
Name Class Date 6.3 Interpreting Verte Form and Standard Form Essential Question: How can ou change the verte form of a quadratic function to standard form? Resource Locker Eplore Identifing Quadratic
Constant Rates of Change. Discovering Proportional Relationships
L E S S O N 4.2 Constant Rates of Change 7.RP.1.2 Recognize and represent proportional relationships between quantities. Also 7.RP.1.2a, 7.RP.1.2b, 7.RP.1.2c? ESSENTIAL QUESTION How can you identify and
Activity 1 Multiply Binomials. Activity 2 Multiply Binomials. You can use algebra tiles to find the product of two binomials.
Algebra Lab Multiplying Polynomials You can use algebra tiles to find the product of two binomials. Virginia SOL A..b The student will perform operations on polynomials, including adding, subtracting,
2 Explain 1 Proving the Intersecting Chords Angle Measure Theorem
xplain 1 Proving the Intersecting hords ngle easure Theorem In the xplore section, you discovered the effects that line segments, such as chords and secants, have on angle measures and their intercepted
Lesson 10.1 Polynomials
Lesson 10.1 Polynomials Objectives Classify polynomials. Use algebra tiles to add polynomials. Add and subtract polynomials. A contractor is buying paint to cover the interior of two cubical storage tanks.
6.5 Comparing Properties of Linear Functions
Name Class Date 6.5 Comparing Properties of Linear Functions Essential Question: How can ou compare linear functions that are represented in different was? Resource Locker Eplore Comparing Properties of
11.1 Solving Linear Systems by Graphing
Name Class Date 11.1 Solving Linear Sstems b Graphing Essential Question: How can ou find the solution of a sstem of linear equations b graphing? Resource Locker Eplore Tpes of Sstems of Linear Equations
13.2 Exponential Decay Functions
Name Class Date 13. Eponential Deca Functions Essential Question: How is the graph of g () = a b h + k where < b < 1 related to the graph of f () = b? Eplore 1 Graphing and Analzing f () = ( 1 and f ()
Geometry Unit 7 - Notes Right Triangles and Trigonometry
Geometry Unit 7 - Notes Right Triangles and Trigonometry Review terms: 1) right angle ) right triangle 3) adjacent 4) Triangle Inequality Theorem Review topic: Geometric mean a = = d a d Syllabus Objective:
Nonproportional Relationships. Real-World Video
Nonproportional Relationships? MODULE LESSON.1 ESSENTIAL QUESTION Representing Linear Nonproportional Relationships How can ou use nonproportional relationships to solve real-world problems? 8.F.1.3 LESSON.
Name Class Date. Deriving the Standard-Form Equation of a Parabola
Name Class Date 1. Parabolas Essential Question: How is the distance formula connected with deriving equations for both vertical and horizontal parabolas? Eplore Deriving the Standard-Form Equation of
Essential Question How can you measure and construct a line segment? Work with a partner. a. Draw a line segment that has a length of 6 inches.
M 1. TEXS ESSENTIL KNOWLEDE ND SKILLS...5. Preparing for.5. USIN PROLEM-SOLVIN STRTEIES To be proficient in math, you need to explain to yourself the meaning of a problem and look for entry points to its
B C. You try: What is the definition of an angle bisector?
US Geometry 1 What is the definition of a midpoint? The midpoint of a line segment is the point that divides the segment into two congruent segments. That is, M is the midpoint of if M is on and M M. 1
Lesson 7A: Solve for Unknown Angles Transversals
Lesson 7A: Solve for Unknown Angles Transversals Warmup Directions: Solve any two out of three equations Check your answer: 1. 4(x 2) = 8(x 3) 12 2. 39 8n = 8(3 + 4n) + 3n 3. 7 6a + 5a = 3a 5a Challenge
EXAMPLE EXAMPLE. Simplify. Simplify each expression. See left. EXAMPLE Real-World Problem Solving EXAMPLE. Write = xa1 1!5 B = 162 Cross multiply.
-. Plan Lesson Preview Check Skills You ll Need Operations With Radical Epressions Lesson -: Eamples,, 7 Eercises, Etra Practice, p. 7 Lesson Preview What You ll Learn - To simplify sums and differences
Essential Question How can you find a trigonometric function of an acute angle θ? opp. hyp. opp. adj. sec θ = hyp. adj.
. Right Triangle Trigonometry Essential Question How can you find a trigonometric function of an acute angle? Consider one of the acute angles of a right triangle. Ratios of a right triangle s side lengths
Ready To Go On? Skills Intervention 11-1 Lines That Intersect Circles
Name ate lass STION 11 Ready To Go On? Skills Intervention 11-1 Lines That Intersect ircles ind these vocabulary words in Lesson 11-1 and the Multilingual Glossary. Vocabulary interior of a circle exterior
Start at the compass direction North and draw the rotations asked for. Write down the angle formed by the arms of the clock in right angles.
ee Lesson Plans for Year at MP Primary Practice ook b WR Imagine that this shape continues in any direction without ending, so it represents a plane. The rays a and b are drawn from the same starting point,
10.1 Inverses of Simple Quadratic and Cubic Functions
COMMON CORE Locker LESSON 0. Inverses of Simple Quadratic and Cubic Functions Name Class Date 0. Inverses of Simple Quadratic and Cubic Functions Essential Question: What functions are the inverses of
FINAL EXAM REVIEW Math 200 Spring 2007
FINL EXM REVIEW Math 00 Spring 007 The final eam will be on Monda, Ma 14 from 7:00-9:00 in room. The eam will cover all material covered in class this semester, all of chapters 1,, 3, and 7. ll of the
What is the longest chord?.
Section: 7-6 Topic: ircles and rcs Standard: 7 & 21 ircle Naming a ircle Name: lass: Geometry 1 Period: Date: In a plane, a circle is equidistant from a given point called the. circle is named by its.
Squares and Square Roots. The Pythagorean Theorem. Similar Figures and Indirect Measurement
Lesson 9-1 Lesson 9-2 Lesson 9-3 Lesson 9-4 Lesson 9-5 Lesson 9-6 Squares and Square Roots The Real Number System Triangles The Pythagorean Theorem The Distance Formula Similar Figures and Indirect Measurement
Q1: Lesson 6 Parallel Lines Handouts Page 1
6.1 Warmup Per ate Instructions: Justify each statement using your Vocab/Theorems ook. If!! =!! and!! = 50, then!! = 50. P F S If!" is rotated 180 around point F, then!"!" If!!"# +!!"# = 180, then!"# is
What You ll Learn. Why It s Important. We see circles in nature and in design. What do you already know about circles?
We see circles in nature and in design. What do you already know about circles? What You ll Learn ircle properties that relate: a tangent to a circle and the radius of the circle a chord in a circle, its
Chapter 12 Practice Test
hapter 12 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. ssume that lines that appear to be tangent are tangent. is the center of the circle.
13.6. Metric Measures. One Way Convert 15,000 meters to kilometers. _ = Unlock the Problem. Math Talk. Essential Question. Name
? Name 13.6 Essential Question Metric Measures How can you compare and convert metric units? Geometry and Measurement 5.7. MTHEMTIL PROESSES 5.1.F Unlock the Problem Using a map, lex estimates the distance
Explore 1 Graphing and Analyzing f(x) = e x. The following table represents the function ƒ (x) = (1 + 1 x) x for several values of x.
1_ 8 6 8 Locker LESSON 13. The Base e Teas Math Standards The student is epected to: A.5.A Determine the effects on the ke attributes of the graphs of ƒ () = b and ƒ () = log b () where b is, 1, and e