Start the In Edward de Bono's book Children Solve Problems, . Relations and functions are mathematical relationships that can be represented and analyzed using words, tables, graphs, and equations. The essential concepts students need to demonstrate or understand to achieve the lesson objective, Suggestions for teachers to help them teach this lesson. Recall altitudes of triangles as line segments that connect the vertex of a triangle with the opposite side and intersect the opposite side in a right angle. assignment for the students of class XII, Theorems on Parallelograms Ch-8 Class-IX Explanation of all theorems on Parallelograms chapter 8 class IX, Theorem 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, Mid point theorem and its converse. Use the Pythagorean Theorem or trigonometric ratios to write and/or solve problems involving right triangles. Some geometric relationships can be described and explored as functional relationships. 0000009274 00000 n This information can be confusing. Measure the strips and make sure they are 3 inches, 4, 5, 6, 8, and 10 inches. of trigonometry in the problems like heights and distances or on complex Explain a proof of the Pythagorean Theorem and its converse. Right-triangle trigonometry uses one side of a triangle that is known, combined with a known angle to calculate the other sides of the triangle (which might be the height or length of a building, for example). Write each expression in its simplest radical form. Points on Circles Using Sine, Cosine, and Tangent. What is the sum of the interior angles of a right triangle? 0 Math teacher will explain the transformations of trigonometric functions as functions, angles and sides of a right angled triangle. Upgrade plan Upgrade to Super. 0000051926 00000 n the lesson teaching students how to find and express the values of the three trigonometric ratiossine, cosine, and tangentfor a given angle in a right triangle. Right Triangle Trigonometry Lesson Plan Instructor: Corrie Boone Corrie holds master's in elementary education, taught elementary ESL in the public schools for 5 years, and recently was teaching. 0000000016 00000 n How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems? Identify when it is proper to "rationalize the denominator.". For this right triangle trigonometry worksheet, students find the measure of specified angles. Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress. %%EOF Use and/or explain reasoning while solving equations, and justify the solution method. Teacher If the short leg (the opposite leg to ) is , then. Angles (Trigonometry & Precalculus) Use square root and cube root symbols to represent solutions to equations of the form x = p and x = p, where p is a positive rational number. So trigonometry means to measure the G.CO.A.1 Introduction, and basic formulas of trigonometry. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. and the quadrant of the angle. Hve@ #2::: &F@YLf@A(4iO ,$_/5Q1 K7-H0hd7[ 0OY q / ab&' @:L;@>". YF Quiz. find an unknown angle measure in a right triangle (given a figure) using the sine, cosine, and tangent ratios and their inverse functions. SUBJECT Right Triangle Trigonometry, Introduction to Sine and Cosine, LESSON SUMMARY Discuss angles in triangles and their relation to the sides of the triangles. The known side will in turn be the denominator or the numerator. Mathematics Vision Project: Secondary Mathematics Two, Lesson 7 "Pythagoras by Proportions" (p. 42), Geometry > Module 2 > Topic D > Lesson 21, Geometry > Module 2 > Topic E > Lesson 25. studying this lesson students should know. Create and/or solve equations (including literal, polynomial, rational, radical, exponential, and logarithmic) both algebraically and graphically. Create a free account to access thousands of lesson plans. Now teacher will explain the trailer 8.G.B.6 Yes, Jhango! It has applications in a wide range of fields such as physics, engineering, astronomy, and navigation. Arccosine: if , then. z Assign homework. understand the relationship between an angle of. History: The study of trigonometry can be traced back to the ancient civilizations of Egypt, Babylon, and India. The goal of today's lesson is that students grasp the concept that angles in a right triangle determine the ratio of sides and that these ratios have specific names, namely sine, cosine, and tangent. This unit was designed for students beginning their study of trigonometry. Enrolling in a course lets you earn progress by passing quizzes and exams. The trigonometric ratios are special measurements of a right triangle. Define and calculate the sine of angles in right triangles. = 1 and use it to find sin(? G.SRT.B.4 Use the denitions of trigonometric functions of any angle. Lesson Plan: Trigonometric Ratios in Right Triangles Mathematics 10th Grade This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find and express the values of the three trigonometric ratiossine, cosine, and tangentfor a given angle in a right triangle. Define the parts of a right triangle and describe the properties of an altitude of a right triangle. (jt6qd),0X&c*):bx] > b 0000001953 00000 n angle (0, After hb```J 8(v k,1ev"SSB/[Ml{X@Wp8WsY&6r{NO7E)GKI^QaRy* k, This study is part of a much larger study investigating how prospective secondary teachers learn to teach mathematics within the context of LPS. 0000009877 00000 n 0000003352 00000 n Unit 9: Trigonometry. Define and prove the Pythagorean theorem. 7 chapters | lesson pave the way for future lessons? Describe the right triangle-specific relationships of hypotenuse (side opposite the right angle) and legs (sides adjacent to each other and the right angle). Mathematics. 0000003350 00000 n Relationships between trigonometric functions, angles and sides. Define the relationship between side lengths of special right triangles. &] oCB? Right-Angled Triangle The triangle of most interest is the right-angled triangle. How is it applied? Objectives Students will be able to Now teacher will explain the Application Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. endstream endobj 422 0 obj<>stream The three page worksheet contains twelve questions. Good job James! Unit 4: Right Triangles and Trigonometry 409 24 How can recognizing repetition or regularity assist in solving problems more efficiently? In SMXD|W uVFB4a6\AxFgXx6jNdl-BpO%/3PJiW^\If8E>ue5g?`d_Jmz8*rXio`RV8?t t2-D'YP0Fw'7c~QKidx1|!-P~#um. 0 2. ~5k"!D^Vy&ka9>.&/$|.I4cbLqDq/3y |7QA*mS(`#,=@SAMuDS}eVW'3iLZ}8ZpuO/-\eU6wpnK>>l=RY5=ve}F1W? Similarity relationships between objects are a form of proportional relationships. This will prepare students to gather real life data and find measures of objects using right triangle trigonometry tomorrow. Mathematics Lesson Plans for Mathematics Teachers and Mathematics Practical and Projects are also published by the same author. 0000003010 00000 n Prove: $${\triangle ABD\sim \triangle BCD}$$. Describe the relationship between slope and the tangent ratio of the angle of elevation/depression. 2. Day 3 - Similar Right Triangles. Learners need to be confident and fluent with the angle facts they have learnt, such as angles on a straight line and angle facts related to parallel lines and the first lesson of this unit begins by checking learners' understanding of angle facts and giving them the opportunity to practice solving problems using these angle facts. Define and calculate the sine of angles in right triangles. 0000007847 00000 n with the method of implementation of these identities. / teacher will introduce the topic Trigonometry. Accessed Dec. 2, 2016, 5:15 p.m.. Each of these statements are TRUE for some values. Trigonometric functions, which are properties of angles and depend on angle measure, are also explained using similarity relationships. 0. (#t&MVU / will also explain the implementation of these ratios in different problems, Now Patterns exhibit relationships that can be extended, described, and generalized. If they made mistakes, review and discuss where their calculations went wrong and how to correct them. Topic A: Right Triangle Properties and Side-Length Relationships. Use similarity criteria to generalize the definition of sine to all angles of the same measure. Trigonon means Values of trigonometric ratios on standard angles 0. All theorems of chapter 8 class IX. Where in life have you seen triangles outside of this classroom? method of finding the values of trigonometric functions with the standard N.RN.A.2 Objects can be transformed in an infinite number of ways. Now 2. ), or tan(?) cot(90 - ) = tan, sec(90 - Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms. Trigonometric identities and their applications in Transformations can be described and analyzed mathematically. cotangent (cot), secant (sec), cosecant (cosec). Include problems where one of the sides of a right triangle is given in radical form and students need to find the area of the triangle, including using special right triangles, similar to Anchor Problem #3. Use the tangent ratio of the angle of elevation or depression to solve real-world problems. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Solving Right Triangles Using Trigonometry & the Pythagorean Theorem, Practice Finding the Trigonometric Ratios, How to Find the Area of a Triangle: Lesson for Kids, What is an Isosceles Triangle? It's a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. use trigonometric ratios to find the measure of an angle of a right triangle, when given two sides. Learn more about our Privacy Policy. Find function values for 30( 6), 45( 4), and 60( 3). Prepare transparencies (if teacher uses overhead for examples) for Solving Right Triangles Using Trigonometry Examples. Copyright 2023 NagwaAll Rights Reserved. - Definition, Properties & Theorem, The Pythagorean Theorem: Practice and Application, What is The Sierpinski Triangle? In this lesson, we'll learn to: Use the Pythagorean theorem and recognize Pythagorean triples Find the sine, cosine, and tangent of similar triangles Teacher Lesson Plan | Grades 9-12. applications of trigonometry. Describe the right trianglespecific relationships of hypotenuse (side opposite the right angle) and legs (sides adjacent to each other and the right angle). Read More. Nagwa uses cookies to ensure you get the best experience on our website. What Is SohCahToa? Define angles in standard position and use them to build the first quadrant of the unit circle. Unit 8 Lesson 3 Trigonometry Thank you very much for reading Unit 8 Lesson 3 Trigonometry . How can mathematics support effective communication? Students determine when to use trigonometric ratios, Pythagorean Theorem, and/or properties of right triangles to model problems and solve them. Derive the values of the 6 trigonometric functions given an acute right triangle described using a standardized terminology. Solve for missing sides of a right triangle given the length of one side and measure of one angle. Right Triangle Trigonometry (Trigonometry & Precalculus) Lesson Plan | Grades 9-12. similar and congruent triangle properties. 0000004249 00000 n Walk your students through the steps of using the sides of a right triangle and trigonometric ratios to find the measure of the other angles. TRIGONOMETRIC FUNCTIONS, Now Know that 2 is irrational. Similar Right Triangles Notes - This lesson takes FOREVER because the kids have a really hard time remembering the relationships. Include problems where students need to identify the form of expression that is most useful given the goal of the problem. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. 0000007292 00000 n Day 1: Right Triangle Trigonometry; Day 2: Solving for Missing Sides Using Trig Ratios; Day 3: Inverse Trig Functions for Missing Angles; Day 4: Quiz 9.1 to 9.3; Day 5: Special Right Triangles; Day 6: Angles on the Coordinate Plane; Day 7: The Unit Circle; Day 8: Quiz 9.4 to 9.6; Day 9: Radians; Day 10: Radians and the . Applications of trigonometry in day to day life 212 lessons. - Definition & Strategy, What is Retail Math? How can geometric properties and theorems be used to describe, model, and analyze situations? How will you address Common Core standards? Perfect for any trigonometry or precalculus class! 0000004633 00000 n Do your students hate word problems? + cos2(?) Include problems where there are variable expressions in the radicand. implemented. A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved. Remote video URL. ), cos(? Method of solving the problems with the help of trigonometry. Describe how the value of tangent changes as the angle measure approaches 0, 45, and 90. TRIGONOMETRIC FUNCTIONS WITH STANDARD ANGLE. Trigonometry and Pythagoras for Right Angled Triangles DRAFT. Congruence describes a special similarity relationship between objects and is a form of equivalence. 0000001227 00000 n 0000057223 00000 n H0MU!iRw7JC\'icBB Your students will then practice this skill in a safe, group setting. Derive the area formula for any triangle in terms of sine. Topic E: Trigonometric Ratios in Non-Right Triangles. All six types of trigonometric functions. 2). solving for a side in a right triangle using the trigonometric ratios (sine, cosine, and tangent). Include problems where students create proportions using side lengths to determine the relationship between the sides of the triangles. Mine certainly do. What is the value of$$x$$that will make the following equation true? is the word made up of two Greek words, Trigonon and metron. Learn more about our Privacy Policy. 0000002495 00000 n 0% found this document useful, Mark this document as useful, 0% found this document not useful, Mark this document as not useful, Save right triangle lesson plan For Later, Right Triangle Trigonometry, Introduction to Sine and, Using the idea of Operant Conditioning, I will provide students with pr, The students will be able to find the lengths. Use equal cofunctions of complementary angles. Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations. Create. lesson. Apply trigonometric ratios to solve problems involving right triangles. It's defined as: SOH: Sin () = Opposite / Hypotenuse. Describe the parts of a triangle based on their relative position (e.g., adjacent, opposite). Geometric Relations: Congruence and Similarity. 0000000852 00000 n copyright 2003-2023 Study.com. Used in placement and admissions decisions by many . 1251 0 obj <>stream theorem. ) = cos, Math Assignment Class XII Ch -09 | Differential Equations, Lesson Plan Maths Class 10 | For Mathematics Teacher. $${3\sqrt{7}\cdot2\sqrt{5}=\left(2\cdot3\sqrt{(7\cdot5)}\right)}$$, $${\sqrt{\left(\frac{2}{3}\right)}=\frac{\sqrt{2}}{\sqrt{3}}}$$, $${\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}=\frac{\sqrt{ab}}{b}}$$, $${c\sqrt{a}\cdot d\sqrt{b}=cd\sqrt{ab}}$$, MARS Formative Assessment Lessons for High School, Use the problems that focus on multiplication or division of radicals, Geometry > Module 2 > Topic D > Lesson 22. xb```b``Abl,vOW*aO!43|%08\9o7n OQ} 0I/gb Its like a teacher waved a magic wand and did the work for me. To unlock this lesson you must be a Study.com Member. different problems. It can then be extended to other ratios and 0000003273 00000 n Corrie holds master's in elementary education, taught elementary ESL in the public schools for 5 years, and recently was teaching EFL abroad. 0000001669 00000 n The right angle is shown by the little box in the corner: Another angle is often labeled , and the three sides are then called: Adjacent: adjacent (next to) the angle Opposite: opposite the angle and the longest side is the Hypotenuse Why a Right-Angled Triangle? Explain how you know that when a triangle is divided using an altitude, the two triangles formed are similar. 10th Grade daily life problems. an important role in surveying, navigation, engineering, astronomy and many other branches of physical science. ENT.HSG.SRT.C.6-8. / Answers are not included. }XW%;d\O. draw a figure for a question and use it to find an unknown angle in a right triangle. session by checking their previous knowledge, by asking the questions related After this lesson, students will be able to: Prove the Pythagorean identity sin2(?) CAH: Cos () = Adjacent / Hypotenuse. Create an account to start this course today. - Definition & Examples, Working Scholars Bringing Tuition-Free College to the Community. Teacher also explain the construction to find the centre of the circle. RIGHT TRIANGLE LESSON PLAN.Common Core Standard G-SRT.8.Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.Teacher used training aids: 6, 8 and 10 plywood or card stock squares.Additional 8 square cut into 4 pieces DOCSLIB.ORG Explore Sign Up Log In Upload Search Home Categories Parenting 0000003616 00000 n Use the Pythagorean theorem and its converse in the solution of problems. Right triangle trigonometry problems are all about understanding the relationship between side lengths, angle measures, and trigonometric ratios in right triangles. understand the relationship between an angle of a right triangle and the sides of the same or similar triangle. Simplifying Radicals Matching Cards - (as long bell work) They'll work with their partners and go through each set matching a radical expression to it's simplified version. Identify the excluded values, then describe what the statement says about the property. Given: In Parallelogram ABCD, AC is the diagonal To Prove: ACD ABC Proof: In ACD and ABC, 1 = 2 (Alternate angles 3 = 4 . (Alternate interior angles AC = AC .. (Common Sides By ASA rule ACD ABC Theorem 8.2: In a parallelogram, opposite sides are equal. N EVADA S TATE C OLLEGE TEACHER PREPARATION PROGRAM LESSON PLAN FORMAT Description of Classroom: Grade Level: Eleventh Grade Type of class: Algebra II/ Trigonometry Demographics: 35 Age range: 15-17 Gender: male; female There are 4 ELLs. The two sides of a right triangle which form the right angle are called the legs, and the third side, opposite the right angle is called the hypotenuse. Derive the relationship between sine and cosine of complementary angles in right triangles, and describe sine and cosine as angle measures approach 0, 30, 45, 60, and 90. Solve a modeling problem using trigonometry. 1student is at the beginning level and 3 students are at the emerging level. This triangle is special, because the sides are in a special proportion. Spatial reasoning and visualization are ways to orient thinking about the physical world. Lesson Plan For CBSE Class 10 (Chapter 8) For Mathematics Teacher. Read More. Curriculum In called tangent, sineand cosine. Now teacher will explain the Know that 2 is irrational. Any addition? You may wish to project the lesson onto a screen so that students can see the colors of the sides if they are using black and white copies. and explain to the students , the implementation of these formulas in Ma'am. Use similarity criteria to generalize the definition of cosine to all angles of the same measure. Rationalize the denominator. Activate students' prior knowledge by having a quick class discussion/review, using some guiding questions: What is the Pythagorean Theorem? Basic concepts, definitions and formulas of mathematics, mathematics assignments for 9th standard to 10+2 standard, maths study material for 8th, 9th, 10th, 11th, 12th classes, Mathematics lesson plan for 10th and 12th standard, Interesting maths riddles and maths magic, Class-wise mathematics study material for students from 9th to 12, CHAPTERS8 & 9:- Trigonometry and Its a very good online learning website and is open to all and totally free for anyone. There are a total of 18 pages of problems and activities with two evaluations. 0000008556 00000 n Use the first quadrant of the unit circle to define sine, cosine, and tangent values outside the first quadrant. endstream endobj 423 0 obj<>stream Come back together as a whole group and discuss what they found for each right triangle, difficulties they had, and/or misunderstandings. Read More. Homework: pp. endstream endobj 431 0 obj<>/Size 409/Type/XRef>>stream Copyright 2023 NagwaAll Rights Reserved. follows. Topic C: Applications of Right Triangle Trigonometry. Re-test(s) will be conducted on the basis of the performance of the students in the test. endstream endobj startxref sin(90 - Introduction. triangle and metron means to measure. Trigonometric Identities and their Implementations. Rewrite expressions involving radicals and rational exponents using the properties of exponents. label the sides and angle of a right triangle. 0000001411 00000 n / A.SSE.A.2 0000003012 00000 n topics are divided into seven modules and are completed in ten class meetings. Multiply and divide radicals by following properties of radicals. Objectives class assignments. PDF. Find the angle measure given two sides using inverse trigonometric functions. finding the measure of an angle given the value of a trigonometric ratio. . ), or tan(?) Multiply and divide radicals. Describe and calculate tangent in right triangles. find a trigonometric ratio in a right triangle given another trigonometric ratio. xbbRa`b``3 A Unit Name: Unit 5: Similarity, Right Triangle Trigonometry, and Proof Lesson Plan Number & Title: Lesson 10: Applications of Similarity Grade Level: . If we scale the basic triangle wit h side lengths Define and prove the Pythagorean theorem. Common Core Standards Core Standards A.SSE.A.2 Use the structure of an expression to identify ways to rewrite it. Hand in crossword. %%EOF (Heights and distances). different problems. Lesson: Order of Operations: Evaluate Numerical Expressions, Lesson: Properties of Operations over the Real Numbers, Lesson: Evaluating Numerical Expressions: Distributive Property, Lesson: Dependent and Independent Variables, Lesson: Domain and Range from Function Graphs, Lesson: Linear Equations with Variables on Both Sides, Lesson: Determining Whether an Inequality Is True or False, Lesson: Inequalities and Interval Notation, Lesson: One-Variable Absolute Value Inequalities, Lesson: Changing the Subject of a Formula, Systems of Linear Equations and Inequalities, Lesson: Solution Cases of System of Linear Equations, Lesson: Solving Systems of Linear Equations Using Substitution, Lesson: Solving Systems of Linear Equations by Omitting a Variable, Lesson: Solving Systems of Linear Equations Graphically, Lesson: Applications on Systems of Linear Equations, Lesson: Applications on Systems of Linear Equations in Three Variables, Lesson: Solving Systems of Linear Inequalities, Lesson: Applications on Systems of Inequalities, Lesson: Solving Linear Equations Using Function Graphs, Lesson: Slope of a Line from a Graph or a Table, Lesson: Slope of a Line through Two Points, Lesson: Slopes and Intercepts of Linear Functions, Lesson: Linear Functions in Different Forms, Lesson: Equation of a Straight Line: SlopeIntercept Form, Lesson: Equation of a Straight Line: Standard and PointSlope Forms, Lesson: Equation of a Straight Line: General Form, Lesson: Scatterplots and Linear Correlation, Lesson: Scatter Plots and Lines of Best Fit, Lesson: Pearsons Correlation Coefficient, Lesson: Power and Exponents over the Real Numbers, Lesson: Laws of Exponents over the Real Numbers, Lesson: Simplifying Expressions: Rules of Exponents, Lesson: Simplifying Algebraic Expressions: Negative and Fractional Exponents, Lesson: Simplifying Exponential Expressions with Rational Exponents, Lesson: Number Operations in Scientific Notation, Lesson: Applications of Exponential Functions, Lesson: Exponential Growth and Decay Models, Lesson: Using Arithmetic Sequence Formulas, Lesson: Applications of Arithmetic Sequences, Lesson: Calculations with Arithmetic Sequences, Lesson: Finding the th Term of a Geometric Sequence, Lesson: Monomials, Binomials, and Trinomials, Lesson: Degree and Coefficient of Polynomials, Lesson: Simplifying Expressions: Combining Like Terms, Lesson: Distributive Property Applications, Lesson: Multiplying Polynomials Using Area Models, Lesson: Simplifying Monomials: Multiplication, Lesson: Multiplying an Algebraic Expression by a Monomial, Lesson: Multiplying a Binomial by an Algebraic Expression, Lesson: Simplifying Monomials: Quotient Rule, Lesson: Expanding an Expression to a Difference of Two Squares, Lesson: The Greatest Common Factor of Monomials, Lesson: Factoring Using the Highest Common Factor, Lesson: Factoring Perfect Square Trinomials, Lesson: Solving Quadratic Equations Graphically, Lesson: Solving Quadratic Equations: Taking Square Roots, Lesson: Solving Quadratics: Completing the Square, Lesson: Solving Quadratic and Quadratic-Like Equations by Factoring, Lesson: Solving Quadratic Equations: Factoring, Lesson: Solving Quadratic Equations: Quadratic Formula, Lesson: Applications of Quadratic Equations, Lesson: Quadratic Functions in Different Forms, Lesson: Solving Systems of Quadratic Equations, Lesson: LinearQuadratic Systems of Equations, Lesson: Comparing Two Distributions Using Box Plots, Lesson: Sample and Population Standard Deviation, Lesson: Domain and Range of a Piecewise Function, Lesson: Function Transformations: Translations, Lesson: Function Transformations: Reflection, Lesson: Function Transformations: Dilation, Lesson: Quadratic Equations: Coefficients and Roots, Lesson: Solving Quadratic Equations with Complex Roots, Lesson: One-Variable Quadratic Inequalities, Lesson: Two-Variable Quadratic Inequalities, Lesson: Real and Complex Roots of Polynomials, Lesson: Dividing Polynomials by Monomials, Lesson: Dividing Polynomials by Binomials Using Factorization, Lesson: Polynomial Long Division without Remainder, Lesson: Polynomial Long Division with Remainder, Lesson: Remainder and Factor Theorem with Synthetic Division, Lesson: Linear Factorization and Conjugate Root Theorems, Lesson: Adding and Subtracting Square Roots, Lesson: Multiplying and Dividing Square Roots, Lesson: Domain and Range of a Rational Function, Lesson: Adding and Subtracting Rational Functions, Lesson: Multiplying and Dividing Rational Functions, Lesson: Horizontal and Vertical Asymptotes of a Function, Lesson: Solving Exponential Equations Using Exponent Properties, Lesson: Evaluating Natural Exponential Expressions, Lesson: Converting between Logarithmic and Exponential Forms, Lesson: Simplifying Natural Logarithmic Expressions, Lesson: Solving Exponential Equations Using Logarithms, Lesson: Logarithmic Equations with Like Bases, Lesson: Logarithmic Equations with Different Bases, Lesson: Sum of a Finite Geometric Sequence, Lesson: Sum of an Infinite Geometric Sequence, Lesson: Applications of Geometric Sequences and Series, Lesson: Conditional Probability: Two-Way Tables, Lesson: Expected Values of Discrete Random Variables, Lesson: Standard Deviation of Discrete Random Variables, Lesson: Scalar Multiplication of Matrices, Lesson: Properties of Matrix Multiplication, Lesson: Using Determinants to Calculate Areas, Lesson: Solving a System of Two Equations Using a Matrix Inverse, Lesson: Inverse of a Matrix: The Adjoint Method, Lesson: Inverse of a Matrix: Row Operations, Lesson: Introduction to the System of Linear Equations, Lesson: Solving a System of Three Equations Using a Matrix Inverse, Lesson: Linear Transformations in Planes: Scaling, Lesson: Linear Transformations in Planes: Reflection, Lesson: Applications on Representing Data Using Matrices, Lesson: Conversion between Radians and Degrees, Lesson: Trigonometric Ratios on the Unit Circle, Lesson: Trigonometric Ratios in Right Triangles, Lesson: Signs of Trigonometric Functions in Quadrants, Lesson: Trigonometric Functions Values with Reference Angles, Lesson: Evaluating Trigonometric Functions with Special Angles, Lesson: Evaluating Trigonometric Ratios given the Value of Another Ratio, Lesson: Exact Values of Trigonometric Ratios, Lesson: Graphs of Trigonometric Functions, Lesson: Amplitude and Period of Trigonometric Functions, Lesson: The Graphs of Reciprocal Trigonometric Functions, Lesson: Transformation of Trigonometric Functions, Lesson: Simplifying Trigonometric Expressions, Lesson: Simplifying Trigonometric Expressions Using Trigonometric Identities, Lesson: Evaluating Trigonometric Functions Using Pythagorean Identities, Lesson: Evaluating Trigonometric Functions Using Periodic Functions, Lesson: Solving Equations Using Inverse Trigonometric Functions, Lesson: Solving Reciprocal Trigonometric Equations, Lesson: Angle Sum and Difference Identities, Lesson: Double-Angle and Half-Angle Identities, Lesson: Solving Trigonometric Equations Using Trigonometric Identities, Lesson: Solving Trigonometric Equations with the Double-Angle Identity, Lesson: Modeling with Trigonometric Functions, Lesson: Points, Lines, and Planes in Space, Lesson: Distance and Midpoint on a Number Line, Lesson: Distance on the Coordinate Plane: Pythagorean Formula, Lesson: Complementary and Supplementary Angles, Lesson: Adjacent and Vertically Opposite Angles, Lesson: Lines and Transversals: Angle Pairs, Lesson: Parallel Lines and Transversals: Angle Relationships, Lesson: Parallel Lines and Transversals: Angle Applications, Lesson: Parallel, Perpendicular, and Intersecting Lines, Lesson: Parallel Lines and Transversals: Proportional Parts, Lesson: Slopes of Parallel and Perpendicular Lines, Lesson: Equations of Parallel and Perpendicular Lines, Lesson: Reflections on the Coordinate Plane, Lesson: Translations on a Coordinate Plane, Lesson: Rotations on the Coordinate Plane, Lesson: Reflectional Symmetry in Polygons, Lesson: Applications of Triangle Congruence, Lesson: Congruence of Polygons through Transformations, Lesson: Triangles on the Coordinate Plane, Lesson: Perpendicular Bisector Theorem and Its Converse, Lesson: Inequality in One Triangle: Angle Comparison, Lesson: Inequality in One Triangle: Side Comparison, Lesson: Angle Bisector Theorem and Its Converse, Lesson: The Converse of the Pythagorean Theorem, Lesson: Right Triangle Trigonometry: Solving for an Angle, Lesson: Right Triangle Trigonometry: Solving for a Side, Lesson: Angles of Elevation and Depression, Lesson: Applications on the Pythagorean Theorem, Lesson: Trigonometric Ratios of Special Triangles, Lesson: Finding the Area of a Triangle Using Trigonometry, Lesson: Applications on Sine and Cosine Laws, Lesson: The Sum of Angles in Quadrilaterals, Lesson: Rectangles on the Coordinate Plane, Lesson: Parallelograms on the Coordinate Plane, Lesson: Volumes of Rectangular Prisms and Cubes, Lesson: Surface Areas of Rectangular Prism and Cubes, Lesson: The Area of a Square in terms of Its Diagonals, Lesson: Finding the Area of a Rhombus Using Diagonals, Lesson: Volumes of Triangular and Quadrilateral Pyramids, Lesson: Surface Areas of Composite Solids, Lesson: Relating Volumes and Surface Areas, Lesson: Areas and Circumferences of Circles, Lesson: Perpendicular Bisector of a Chord, Lesson: Properties of Cyclic Quadrilaterals, Lesson: Properties of Tangents and Chords, Lesson: Angles of Intersecting Lines in a Circle, Lesson: Equation of a Circle Passing through Three Noncollinear Points, Lesson: Increasing and Decreasing Intervals of a Function, Lesson: Upper and Lower Bound Tests for Polynomial Functions, Lesson: Partial Fractions: Nonrepeated Linear Factors, Lesson: Partial Fractions: Repeated Linear Factors, Lesson: Partial Fractions: Nonrepeated Irreducible Quadratic Factors, Conic Sections, Parametric Equations, and Polar Coordinates, Lesson: Parametric Equations and Curves in Two Dimensions, Lesson: Conversion between Parametric and Rectangular Equations, Lesson: Scalars, Vectors, and Directed Line Segments, Lesson: Vectors in terms of Fundamental Unit Vectors, Lesson: Adding and Subtracting Vectors in 2D, Lesson: The Angle between Two Vectors in the Coordinate Plane, Lesson: Angle between Two Vectors in Space, Lesson: Direction Angles and Direction Cosines, Lesson: Operations on Complex Numbers in Polar Form, Lesson: Exponential Form of a Complex Number, Lesson: Equating, Adding, and Subtracting Complex Numbers, Lesson: Using Permutations to Find Probability, Lesson: Using Combinations to Find Probability, Lesson: Evaluating Limits Using Algebraic Techniques, Lesson: Limits of Trigonometric Functions, Lesson: Critical Points and Local Extrema of a Function, Lesson: Interpreting Graphs of Derivatives, Lesson: Indefinite Integrals: The Power Rule, Lesson: Convergent and Divergent Sequences, Lesson: Power Series and Radius of Convergence, Lesson: Representing Rational Functions Using Power Series. 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