Here is the improved and edited detailed lesson plan with a subject matter SSS Congruence Postulate. I uploaded the old version and now I upload the edited one. you can always download this one..maybe it could help you.
1. The document provides instructions for students to complete an assignment proving that two triangles are congruent using the Side-Angle-Side (SAS) Congruence Postulate.
2. Students are asked to draw two triangles, measure their corresponding sides and included angles, and state that the triangles are congruent because they satisfy the SAS postulate.
3. The assignment directs students to prove two other triangles congruent using SAS, giving at least three statements with reasons.
If the two angles and an included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent.
This document summarizes a Grade 8 mathematics lesson on triangle congruency. The objectives were for students to define and illustrate congruent triangles, identify corresponding sides and angles, and present solutions with accuracy. Content covered triangle congruence. Learning activities included visual aids, measuring triangles with meter sticks, forming pairs of congruent triangles, and applying concepts to a real-world problem of balancing swing supports. Students were evaluated on identifying corresponding parts of congruent triangles. The teacher reflected on students' mastery levels and effectiveness of instructional strategies.
This document contains a math prayer, directions for activities on congruent triangles, processing questions, and a differentiated instruction section. The math prayer thanks God for gifts and asks to subtract worldly desires and divide talents to unite as one family. The activities have students identify corresponding parts of congruent triangles based on pictures and measurements. Processing questions ask about identifying parts, noticing measurements, and what makes triangles congruent. The differentiated instruction gives roles like architect and engineer to complete triangle tasks from different perspectives.
A wise person seeks knowledge and gains understanding from others who are knowledgeable. A person who understands values gaining wisdom from wise counsel.
This document discusses triangle congruence theorems. It defines the five main congruence theorems: ASA, SAS, SSS, AAS, and introduces four additional theorems for right triangles only: HL, HA, LL, LA. Examples are provided to demonstrate applying each theorem to determine if two triangles are congruent based on given side or angle information.
This document defines and discusses various geometric concepts including:
1. Subsets of a line such as segments, rays, and lines. It defines these terms and discusses relationships between points.
2. Angles, including classifying them as acute, right, or obtuse based on their measure. It also discusses angle bisectors and the angle addition postulate.
3. Axioms and theorems related to lines, planes, distances, and angle measurement. It provides examples to illustrate geometric concepts and relationships.
Here is the improved and edited detailed lesson plan with a subject matter SSS Congruence Postulate. I uploaded the old version and now I upload the edited one. you can always download this one..maybe it could help you.
1. The document provides instructions for students to complete an assignment proving that two triangles are congruent using the Side-Angle-Side (SAS) Congruence Postulate.
2. Students are asked to draw two triangles, measure their corresponding sides and included angles, and state that the triangles are congruent because they satisfy the SAS postulate.
3. The assignment directs students to prove two other triangles congruent using SAS, giving at least three statements with reasons.
If the two angles and an included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent.
This document summarizes a Grade 8 mathematics lesson on triangle congruency. The objectives were for students to define and illustrate congruent triangles, identify corresponding sides and angles, and present solutions with accuracy. Content covered triangle congruence. Learning activities included visual aids, measuring triangles with meter sticks, forming pairs of congruent triangles, and applying concepts to a real-world problem of balancing swing supports. Students were evaluated on identifying corresponding parts of congruent triangles. The teacher reflected on students' mastery levels and effectiveness of instructional strategies.
This document contains a math prayer, directions for activities on congruent triangles, processing questions, and a differentiated instruction section. The math prayer thanks God for gifts and asks to subtract worldly desires and divide talents to unite as one family. The activities have students identify corresponding parts of congruent triangles based on pictures and measurements. Processing questions ask about identifying parts, noticing measurements, and what makes triangles congruent. The differentiated instruction gives roles like architect and engineer to complete triangle tasks from different perspectives.
A wise person seeks knowledge and gains understanding from others who are knowledgeable. A person who understands values gaining wisdom from wise counsel.
This document discusses triangle congruence theorems. It defines the five main congruence theorems: ASA, SAS, SSS, AAS, and introduces four additional theorems for right triangles only: HL, HA, LL, LA. Examples are provided to demonstrate applying each theorem to determine if two triangles are congruent based on given side or angle information.
This document defines and discusses various geometric concepts including:
1. Subsets of a line such as segments, rays, and lines. It defines these terms and discusses relationships between points.
2. Angles, including classifying them as acute, right, or obtuse based on their measure. It also discusses angle bisectors and the angle addition postulate.
3. Axioms and theorems related to lines, planes, distances, and angle measurement. It provides examples to illustrate geometric concepts and relationships.
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...AngelaCamillePaynant
This document provides instructions and examples for illustrating triangle congruence. It begins with an activity asking students to identify whether figure pairs are congruent or not. Next, it discusses how to pair corresponding vertices, sides, and angles of congruent triangles. Examples are given demonstrating this process. The document then discusses different postulates for triangle congruence including SSS, SAS, and ASA. It provides additional examples and activities applying these postulates. It also discusses right triangle congruence and the corresponding theorems. In all, the document aims to teach students how to determine if two triangles are congruent and explain why using appropriate triangle congruence rules and terminology.
Proving Triangles Congruent Sss, Sas Asaguestd1dc2e
This document discusses different ways to prove that two triangles are congruent, including the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and angle-angle-side (AAS) congruence postulates. It provides examples of applying each postulate to determine if pairs of triangles are congruent or not. There is no side-side-angle (SSA) or angle-angle-angle (AAA) postulate that can prove congruence.
This document discusses congruent triangles and the corresponding parts theorem. It defines the three postulates used to prove congruence: SSS, SAS, and ASA. It provides an example of using the SSS postulate and corresponding parts theorem to show that two angles are congruent and find the exact measure of one of the angles. It emphasizes that corresponding parts theorem can only be used after triangles are shown to be congruent.
This powerpoint presentation is an introduction for the topic TRIANGLE CONGRUENCE. This topic is in Grade 8 Mathematics. I hope that you will learn something from this sides.
5As Lesson Plan on Pairs of Angles Formed by Parallel Lines Cut by a TransversalElton John Embodo
The document outlines a lesson plan on teaching pairs of angles formed by parallel lines cut by a transversal. The objectives are for students to identify, classify, and discuss parallelism in real life. The lesson includes an activity where students draw and label parallel lines cut by a transversal. Various pairs of angles are analyzed, such as alternate interior angles, alternate exterior angles, and corresponding angles. Definitions are provided for each type of pair. The lesson aims to teach students the characteristics and properties of different pairs of angles formed with parallel lines.
1. Triangles are congruent if all corresponding sides and angles are congruent. They will have the same shape and size but may be mirror images.
2. There are four main postulates and theorems used to prove triangles congruent: SSS (three sides), SAS (two sides and included angle), ASA (two angles and included side), and AAS (two angles and non-included side).
3. Corresponding parts of congruent triangles are also congruent based on the CPCTC theorem. This allows using previously proven congruent parts in future proofs.
This document provides guidance on writing proofs to show that two triangles are congruent. It explains that a two-column proof lists given information, deduced information, and the statement to be proved, with reasons for each step. A basic three-step method is outlined: 1) Mark given information on the diagram, 2) Identify the congruence theorem and additional needed information, 3) Write the statements and reasons, with the last statement being what is to be proved. An example proof is provided using the Side-Side-Side congruence theorem to prove two triangles are congruent. Common theorems that can be used in proofs are also listed.
The document defines and describes the key properties of parallelograms. It states that a parallelogram is a quadrilateral with two pairs of parallel sides. The properties outlined are: the opposite sides of a parallelogram are parallel and equal in length; the opposite angles of a parallelogram are equal; each diagonal of a parallelogram bisects the other; and consecutive angles of a parallelogram are supplementary. The document provides examples for students to practice applying these properties.
The document discusses various theorems and properties related to triangles, including:
1) The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
2) The triangle inequality theorem states that the sum of the measures of any two sides of a triangle is greater than the measure of the third side.
3) Properties relating the lengths of sides and measures of angles in a triangle, such as if sides are unequal then angles will be unequal as well.
Concept of angle of elevation and depressionJunila Tejada
This document outlines an activity to help students understand the concepts of angle of elevation and angle of depression. The activity involves students finding classmates at their eye level or taller/shorter, then illustrating tall and short objects outside. They are expected to differentiate elevation and depression angles, link them to real-life contexts, and illustrate the concepts. Key terms like line of sight, elevation angle, and depression angle are defined. Examples are given and students must identify these angles in diagrams. Finally, a math problem applies the elevation angle concept.
This document covers several theorems regarding similar triangles: AAA, AA, and SAS similarity theorems state that if corresponding angles or sides are proportional, the triangles are similar. The SSS and L-L theorems for right triangles also make claims of similarity based on proportional sides. Examples demonstrate applying these theorems to determine if triangles are similar and to find missing side lengths. The proportional segments theorem is also described as relating ratios of line segments cut by parallel lines.
The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles
The document discusses the different postulates for proving that two triangles are congruent: SAS, ASA, SSS, and SAA. It explains each postulate and provides examples of how to use them to prove triangles are congruent by listing corresponding parts and reasons. Steps are outlined for setting up congruence proofs, including marking givens, choosing a postulate, listing statements equal parts, and stating reasons using properties or postulates.
This document describes an activity where students will be divided into six groups, each named after a different type of quadrilateral. The groups will rotate through learning stations that review the definitions and properties of quadrilaterals. The objective is for students to identify quadrilaterals that are parallelograms. The learning stations include reviewing definitions, plotting points to identify shapes, matching shapes to definitions, and a quiz to test knowledge of parallelograms.
This document defines and describes different types of angles:
1) Adjacent angles share a common vertex and side. Vertically opposite angles are formed when two lines intersect and are equal.
2) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees.
3) A linear pair is two adjacent supplementary angles.
4) A transversal intersects two or more lines. It forms corresponding, alternate, and interior angles that follow specific properties.
This document provides instruction on similarity in right triangles. It begins with examples of identifying similar right triangles and finding geometric means. Geometric mean is defined as the positive square root of the product of two numbers. The document then shows how geometric means can be used to find unknown side lengths in right triangles using proportions. Examples demonstrate applications to measurement problems. The lesson concludes with a quiz reviewing key concepts like writing similarity statements and using proportions with geometric means to solve for missing side lengths in right triangles.
This document discusses triangle congruence, including definitions of triangles, corresponding sides and angles, and the four main postulates used to prove triangles are congruent: SSS, SAS, ASA, and SAA. It provides examples of determining if triangles are congruent and finding missing side lengths through algebraic applications of the congruence postulates and theorems. Key ideas covered are the properties of triangles, corresponding parts of congruent triangles, and using congruence rules to solve problems.
This module teaches how to prove triangle congruence using the SSS, SAS, ASA, and SAA congruence postulates. It covers the properties of congruence, applying congruence to prove triangles are congruent, and identifying which postulate can be used to prove triangles congruent based on given corresponding parts. The module contains lessons on the properties of congruence, congruent triangles, SSS congruence, SAS congruence, ASA congruence, and SAA congruence.
This document introduces special products and factors of polynomials. It discusses how patterns can be used to simplify algebraic expressions and solve geometric problems. Students will learn to identify special products through pattern recognition, find special products of polynomials, and apply these concepts to real-world problems. The goals are to demonstrate understanding of key concepts and solve practice problems accurately using different strategies.
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...AngelaCamillePaynant
This document provides instructions and examples for illustrating triangle congruence. It begins with an activity asking students to identify whether figure pairs are congruent or not. Next, it discusses how to pair corresponding vertices, sides, and angles of congruent triangles. Examples are given demonstrating this process. The document then discusses different postulates for triangle congruence including SSS, SAS, and ASA. It provides additional examples and activities applying these postulates. It also discusses right triangle congruence and the corresponding theorems. In all, the document aims to teach students how to determine if two triangles are congruent and explain why using appropriate triangle congruence rules and terminology.
Proving Triangles Congruent Sss, Sas Asaguestd1dc2e
This document discusses different ways to prove that two triangles are congruent, including the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and angle-angle-side (AAS) congruence postulates. It provides examples of applying each postulate to determine if pairs of triangles are congruent or not. There is no side-side-angle (SSA) or angle-angle-angle (AAA) postulate that can prove congruence.
This document discusses congruent triangles and the corresponding parts theorem. It defines the three postulates used to prove congruence: SSS, SAS, and ASA. It provides an example of using the SSS postulate and corresponding parts theorem to show that two angles are congruent and find the exact measure of one of the angles. It emphasizes that corresponding parts theorem can only be used after triangles are shown to be congruent.
This powerpoint presentation is an introduction for the topic TRIANGLE CONGRUENCE. This topic is in Grade 8 Mathematics. I hope that you will learn something from this sides.
5As Lesson Plan on Pairs of Angles Formed by Parallel Lines Cut by a TransversalElton John Embodo
The document outlines a lesson plan on teaching pairs of angles formed by parallel lines cut by a transversal. The objectives are for students to identify, classify, and discuss parallelism in real life. The lesson includes an activity where students draw and label parallel lines cut by a transversal. Various pairs of angles are analyzed, such as alternate interior angles, alternate exterior angles, and corresponding angles. Definitions are provided for each type of pair. The lesson aims to teach students the characteristics and properties of different pairs of angles formed with parallel lines.
1. Triangles are congruent if all corresponding sides and angles are congruent. They will have the same shape and size but may be mirror images.
2. There are four main postulates and theorems used to prove triangles congruent: SSS (three sides), SAS (two sides and included angle), ASA (two angles and included side), and AAS (two angles and non-included side).
3. Corresponding parts of congruent triangles are also congruent based on the CPCTC theorem. This allows using previously proven congruent parts in future proofs.
This document provides guidance on writing proofs to show that two triangles are congruent. It explains that a two-column proof lists given information, deduced information, and the statement to be proved, with reasons for each step. A basic three-step method is outlined: 1) Mark given information on the diagram, 2) Identify the congruence theorem and additional needed information, 3) Write the statements and reasons, with the last statement being what is to be proved. An example proof is provided using the Side-Side-Side congruence theorem to prove two triangles are congruent. Common theorems that can be used in proofs are also listed.
The document defines and describes the key properties of parallelograms. It states that a parallelogram is a quadrilateral with two pairs of parallel sides. The properties outlined are: the opposite sides of a parallelogram are parallel and equal in length; the opposite angles of a parallelogram are equal; each diagonal of a parallelogram bisects the other; and consecutive angles of a parallelogram are supplementary. The document provides examples for students to practice applying these properties.
The document discusses various theorems and properties related to triangles, including:
1) The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
2) The triangle inequality theorem states that the sum of the measures of any two sides of a triangle is greater than the measure of the third side.
3) Properties relating the lengths of sides and measures of angles in a triangle, such as if sides are unequal then angles will be unequal as well.
Concept of angle of elevation and depressionJunila Tejada
This document outlines an activity to help students understand the concepts of angle of elevation and angle of depression. The activity involves students finding classmates at their eye level or taller/shorter, then illustrating tall and short objects outside. They are expected to differentiate elevation and depression angles, link them to real-life contexts, and illustrate the concepts. Key terms like line of sight, elevation angle, and depression angle are defined. Examples are given and students must identify these angles in diagrams. Finally, a math problem applies the elevation angle concept.
This document covers several theorems regarding similar triangles: AAA, AA, and SAS similarity theorems state that if corresponding angles or sides are proportional, the triangles are similar. The SSS and L-L theorems for right triangles also make claims of similarity based on proportional sides. Examples demonstrate applying these theorems to determine if triangles are similar and to find missing side lengths. The proportional segments theorem is also described as relating ratios of line segments cut by parallel lines.
The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles
The document discusses the different postulates for proving that two triangles are congruent: SAS, ASA, SSS, and SAA. It explains each postulate and provides examples of how to use them to prove triangles are congruent by listing corresponding parts and reasons. Steps are outlined for setting up congruence proofs, including marking givens, choosing a postulate, listing statements equal parts, and stating reasons using properties or postulates.
This document describes an activity where students will be divided into six groups, each named after a different type of quadrilateral. The groups will rotate through learning stations that review the definitions and properties of quadrilaterals. The objective is for students to identify quadrilaterals that are parallelograms. The learning stations include reviewing definitions, plotting points to identify shapes, matching shapes to definitions, and a quiz to test knowledge of parallelograms.
This document defines and describes different types of angles:
1) Adjacent angles share a common vertex and side. Vertically opposite angles are formed when two lines intersect and are equal.
2) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees.
3) A linear pair is two adjacent supplementary angles.
4) A transversal intersects two or more lines. It forms corresponding, alternate, and interior angles that follow specific properties.
This document provides instruction on similarity in right triangles. It begins with examples of identifying similar right triangles and finding geometric means. Geometric mean is defined as the positive square root of the product of two numbers. The document then shows how geometric means can be used to find unknown side lengths in right triangles using proportions. Examples demonstrate applications to measurement problems. The lesson concludes with a quiz reviewing key concepts like writing similarity statements and using proportions with geometric means to solve for missing side lengths in right triangles.
This document discusses triangle congruence, including definitions of triangles, corresponding sides and angles, and the four main postulates used to prove triangles are congruent: SSS, SAS, ASA, and SAA. It provides examples of determining if triangles are congruent and finding missing side lengths through algebraic applications of the congruence postulates and theorems. Key ideas covered are the properties of triangles, corresponding parts of congruent triangles, and using congruence rules to solve problems.
This module teaches how to prove triangle congruence using the SSS, SAS, ASA, and SAA congruence postulates. It covers the properties of congruence, applying congruence to prove triangles are congruent, and identifying which postulate can be used to prove triangles congruent based on given corresponding parts. The module contains lessons on the properties of congruence, congruent triangles, SSS congruence, SAS congruence, ASA congruence, and SAA congruence.
This document introduces special products and factors of polynomials. It discusses how patterns can be used to simplify algebraic expressions and solve geometric problems. Students will learn to identify special products through pattern recognition, find special products of polynomials, and apply these concepts to real-world problems. The goals are to demonstrate understanding of key concepts and solve practice problems accurately using different strategies.
Detailed Lesson Plan (ENGLISH, MATH, SCIENCE, FILIPINO)Junnie Salud
Thanks everybody! The lesson plans presented were actually outdated and can still be improved. I was also a college student when I did these. There were minor errors but the important thing is, the structure and flow of activities (for an hour-long class) are included here. I appreciate all of your comments! Please like my fan page on facebook search for JUNNIE SALUD.
*The detailed LP for English is from Ms. Juliana Patricia Tenzasas. I just revised it a little.
For questions about education-related matters, you can directly email me at mr_junniesalud@yahoo.com
This module covers triangle congruence and how it can be used to prove that segments and angles are congruent. There are four criteria for triangle congruence: SSS, SAS, ASA, and SAA. There are also criteria for right triangle congruence including LL, LA, HyL, and HyA. Examples are provided of formal proofs using triangle congruence to show that segments and angles are congruent. The document concludes with practice problems for the student to try using triangle congruence to prove statements.
The document discusses various aspects of the reading process including top-down and bottom-up approaches, the role of schema and background knowledge, and reading strategies and skills. It provides definitions and examples from multiple sources on topics such as reading comprehension, extensive and intensive reading, and developing reading ability through decoding, vocabulary knowledge, and use of strategies.
The document discusses different rules for determining if two triangles are congruent, including:
- The ASA (Angle-Side-Angle) rule, which states two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle. An example proof of this rule is provided.
- The SSS (Side-Side-Side) rule, which states two triangles are congruent if three sides of one triangle are equal to the corresponding three sides of the other triangle. An example proof is also provided.
- The Hypotenuse-Leg rule, which states two right triangles are congruent if the hypotenuse and one side of one
The document provides a detailed lesson plan on teaching the properties of parallelograms to third year high school students. It includes learning competencies, subject matter on the four properties of parallelograms, and learning strategies for teachers and students. Sample problems are provided to demonstrate each property, with teachers interacting with students to discuss the key elements of parallelograms and solutions to related math problems. The lesson concludes with an evaluation through additional practice problems for students to solve independently using the properties of parallelograms.
SIM for Mathematics; Addition and Subtraction of Rational NumbersJay Ahr Sison
This document provides guidance and activities for teaching addition and subtraction of rational numbers (fractions). It includes an overview, learning competencies, and 4 activities - identifying similar and dissimilar fractions, adding and subtracting similar fractions, determining the least common denominator, and adding and subtracting dissimilar fractions. Assessment cards and an enrichment problem are also included to check understanding.
K TO 12 GRADE 7 LEARNING MODULE IN MATHEMATICS (Quarter 3)LiGhT ArOhL
This document provides a lesson plan on solving linear equations and inequalities in one variable algebraically. It begins with reviewing translating between verbal and mathematical phrases and evaluating expressions. The main focus is on introducing and applying the properties of equality, including reflexive, symmetric, transitive, and substitution properties, to solve equations algebraically. Word problems involving equations in one variable are also discussed. The objectives are to identify and apply the properties of equality to find solutions to equations and solve word problems involving one variable equations.
This document provides information about proving triangles congruent using various postulates and theorems:
1. It describes the SSS, SAS, ASA, and AAS postulates that can be used to prove any triangles congruent, as well as the HL postulate that applies only to right triangles.
2. Examples are given to demonstrate applying each of the postulates to determine if two triangles are congruent and to find missing corresponding parts.
3. Additional theorems like CPCTC (corresponding parts of congruent triangles are congruent) and properties of vertical angles, isosceles triangles, and midpoints are also explained.
This document provides guidance for teachers on developing effective reading programs at the primary school level. It discusses factors that influence reading readiness, such as parental involvement and the home environment. The document also outlines stages of reading development and recommends approaches and methods for teaching reading fluency.
This lesson plan discusses the course descriptions, goals, and objectives of language subjects like English and Filipino. It aims to help students understand the importance of language learning and demonstrate expected competencies in listening, speaking, reading, and writing for each grade level. The teacher leads a discussion where students explain the objectives for different grades in each language subject drawn from the Basic Education Curriculum. The lesson emphasizes that learning the country's languages helps develop communication skills and international competitiveness, making students more successful. For evaluation, students answer short questions about the lesson and write an insight about one language subject area.
MATH Lesson Plan sample for demo teaching preyaleandrina
This is my first made lesson plan ...
i thought before that its hard to make lesson plan but being just resourceful and with the help of different methods and strategies in teaching we can have our guide for highly and better teaching instruction:)..
This document is a daily lesson log for a 9th grade mathematics class taught by Angela Camille P. Cariaga from April 3-7, 2023. The lesson focused on the key concepts of quadrilaterals and triangle similarity. Students learned to investigate, analyze, and solve problems involving quadrilaterals and triangle similarity. Throughout the week, students illustrated similarity of figures, reviewed and continued learning about similarity of polygons and figures, and took a quiz. Activities included observing similar figures, solving proportions, drawing similar shapes, and identifying examples of similarity in daily life. The lesson aimed to help students understand that two polygons are similar if their corresponding angles are congruent and corresponding sides are proportional.
This document provides a mathematics activity sheet on determining the conditions that make a quadrilateral a parallelogram and using properties to find measures of angles, sides, and other quantities involving parallelograms. It discusses the different types of quadrilaterals and defines a parallelogram. It then lists the six conditions that make a quadrilateral a parallelogram: having both pairs of opposite sides be congruent; having both pairs of opposite angles be congruent; having both pairs of consecutive angles be supplementary; having the diagonals bisect each other; having each diagonal divide the parallelogram into two congruent triangles; and having one pair of opposite sides be both congruent and parallel. The activity sheet provides
Here are the key points in the example:
1. The triangles ΔCAT and ΔDOG are placed on top of each other so that their vertices coincide or overlap.
2. This establishes a correspondence between the parts of the two triangles.
3. Since the vertices coincide, the corresponding sides and angles also coincide.
4. Triangles with coinciding corresponding parts are said to be congruent.
5. The congruence of the two triangles is symbolized as ΔCAT ≅ ΔDOG.
Lesson plan for a 5th grade algebra/geometry class to teach students how to create pie graphs. The lesson will have students gather data on M&M colors, sort the M&M's by color, and create a pie graph displaying the results. It will also have students create a sample pie graph as a class using data on student exam grades. The lesson provides detailed instructions, materials needed, and an assessment for students to demonstrate their understanding of creating and labeling pie graphs.
Lesson plan for a 5th grade algebra/geometry class to teach students how to create pie graphs. The lesson will have students gather data on M&M colors, sort the M&Ms by color, and create a pie graph displaying the results. It will also have students create a sample pie graph as a class using data on student exam grades. The lesson provides detailed instructions, materials needed, and an assessment for students to demonstrate their understanding of creating and labeling pie graphs.
1) The document outlines a lesson plan for teaching students about circles and solving problems related to circles. It includes learning outcomes, pre-requisites, teaching-learning activities, and a step-by-step description of how the teacher will present the problem and guide students to prove that if the bisector of an angle formed by two chords is a diameter, then the chords are equal in length.
2) The teacher will begin by reviewing concepts like congruent triangles and presenting the problem. Through a series of activities, the teacher will have students recognize that two triangles formed are congruent, which allows them to prove the chords are equal in length.
3) The lesson concludes with the teacher summar
THE MIDLINE THEOREM-.pptx GRADE 9 MATHEMATICS THIRD QUARTERRicksCeleste
1. The document discusses classroom rules which include listening when others are speaking, raising your hand to speak or get up, and being respectful.
2. It then provides an example of using the midline theorem to solve several geometry problems involving triangles. The midline theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
3. Finally, it discusses how the midline theorem can be applied in real life contexts like architecture and engineering for structures like rooftops, bridges, and buildings.
This lesson plan is about teaching students about quadrilaterals. It involves several hands-on activities and discussions to help students understand the different types of quadrilaterals, including squares, rectangles, parallelograms, rhombi, trapezoids, and isosceles trapezoids. The students are divided into groups to describe shapes and identify properties. The teacher tells a story about "King Quadrilateral" and his family to reinforce the names and relationships between the different quadrilaterals. At the end, students review what they learned by identifying true or false statements about quadrilaterals.
1. The lesson plan introduces the concept of similar triangles to students through activities and songs.
2. Students are divided into groups and given activity cards with riddles to solve about triangles. This allows them to review the properties of triangles.
3. Additional activities have students name and measure angles of triangles, leading them to discover that triangles with equal angles are similar, with sides proportional to their corresponding angles.
4. The lesson reinforces the key points that similar triangles have equal angles and proportional sides through visual aids and poems to aid student understanding of this geometric concept.
(8) Lesson 7.4 - Properties of Similar Polygonswzuri
This document provides instruction on determining if two figures are similar using transformations. It includes examples of checking if figures have corresponding congruent angles and proportional sides. The document also covers the definitions of similar polygons, scale factors, and using ratios and proportions to find missing measures in similar figures.
This document provides instruction on determining if two figures are similar using transformations. It includes examples of determining if figures are similar by checking if corresponding angles are congruent and if corresponding sides are proportional. It also covers finding missing measures in similar figures using scale factors and proportions. Determining similarity involves rotations, reflections, translations, and dilations, while congruence only involves rigid motions.
This lesson plan is about teaching students about quadrilaterals. It involves several hands-on activities and discussions to help students understand the different types of quadrilaterals, including squares, rectangles, parallelograms, rhombi, trapezoids, and isosceles trapezoids. The students are divided into groups to describe shapes and identify properties. The teacher also tells a story about "King Quadrilateral" and his family to reinforce the names and relationships between the different quadrilaterals. The lesson aims to help students comprehend the key concepts and properties of quadrilaterals.
Final lesson plan in Math (4A's Approach)Joseph Freo
1. The document outlines a teacher's daily lesson plan on teaching students about the formula for calculating the area of triangles.
2. The lesson includes an opening prayer and greeting, reviewing the previous lesson on parallelograms, a hands-on activity to discover the triangle area formula, worked examples, and a short quiz as homework.
3. Key points covered are that the area of a triangle is one-half the area of the rectangle or parallelogram upon which it is based, and the formula for calculating triangle area is 1/2 x base x height.
1. The document is a lesson plan for teaching 8th standard students about isosceles triangles in mathematics.
2. It outlines the objectives, concepts, principles and process that will be used to help students understand the characteristics of isosceles triangles.
3. The lesson plan involves showing students examples of different types of triangles, demonstrating how to identify an isosceles triangle, and having students work in groups on activities to recognize and draw isosceles triangles.
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Lesson plan-SSS Congruence Postulate
1. Gov. Alfonso D. Tan College
Teacher Education Department
Maloro, Tangub City
Demonstrator : Elton John B. Embodo
Subject Matter : SSS (Side-Side-Side) Congruence Postulate
Cooperating School : Sta. Maria National High School
Critic Teacher : Mr. Roland B. Amora
Principal : Mrs. Efleda D. Enerio
2. I. Objectives: At the end of the lesson, students are expected to:
a. complete the congruent marks to illustrate that the
triangles are congruent through SSS Congruence
Theorem;
b. match the given sides of triangles to show that the
triangles are congruent through SSS Congruence
Postulate;
c. illustrate the importance of being part of the group by
citing an example.
II. Subject Matter: SSS (Side-Side-Side) Congruence Postulate
Reference: Mathematics Learner’s Module for Grade 8 page (357)
Skills: drawing, analyzing and solving
Values: unity and cooperation
III. Materials: ruler, pencil, bond paper and cardboard
IV. Procedure: 4A’s Method
Teacher’s Activity Students’ Activity
A. Preparation
a. Review
(prayer)
(greetings)
(announcing of classroom rules)
(checking of attendance)
(collecting of assignment)
Before we proceed to our new lesson for today,
let’s have first a review about our lesson last
meeting
What did we discuss last meeting?
Yes Joyce!
Very good!
Who can recall what ASA Congruence
Postulate is?
Yesterday, we discussed about ASA
Congruence Postulate.
3. Teacher’s Activity Students’ Activity
Yes Evan!
Absolutely!
Who wants to go to the board and illustrate the
ASA Congruence Postulate?
Yes Rodan!
Very good!
The ABC and XYZ are congruent since
,A X AC XZ and C Z it refers
to ASA Congruence Postulate.
a. Motivation
Now class, I have here two triangles made
from cardboard material. One is colored blue
and the other one is colored yellow.
Class, do you know on how to determine that
these two triangles colored blue and colored
yellow are congruent by dealing only on their
sides not the angles?
ASA Congruence Postulate states that, “If the
two angles and the included side of one
triangle are congruent to the corresponding two
angles and the included side of another
triangle, then the triangles are congruent.
(student does as told)
No, Sir!
A
B
C
X
Y Z
4. Teacher’s Activity Students’ Activity
B. Activity
So be with me this morning as I’ll discuss to
you the “SSS Congruence Postulate.”
Everybody read!
a. Statement of the Aim
*complete the congruent marks to illustrate
that the triangles are congruent through SSS
Congruence Postulate;
*match the given sides of triangles to show
that the triangles are congruent through SSS
Congruence Postulate;
*illustrate the importance of being part of a
group by citing an example.
Now, I’ll group you into 4 groups and form a
circle with your group. All you have to do
class is to draw the desired figure through the
following procedures being flashed on the
screen.
Do you get me class?
When you are already finished, you have to say
with action, “Clap, clap, clap Champion”! The
group which can finish first will be the winner
and will receive a secret price.
I’ll give you five minutes to do it and your
time will start now.
“SSS Congruence Postulate”
Yes Sir.
Students do as told.
5. Teacher’s Activity Students’ Activity
C. Analysis
I want somebody from the group 1 to draw
their figure on the board.
Yes Lovely
Somebody from the group 2 to draw their
figure on the board.
Yes Apple
Any representative from the group 3 to discuss
the work of group 1.
Yes Adrian
Any representative from the group 4 to discuss
the work of the group 2.
Yes Rodan
Very good!
Let’s name the other triangle as OMN .
Do the following in your group:
(student does as told)
(student does as told)
(student does as told)
(student does as told)
1. Draw a straight horizontal
line segment and name it as
ST having a length of
15cm.
2. On the Point S of the line
segmentST , draw a
vertical line segment and
name it as SU having a
length of 20cm.
3. Connect the point U and T
to form a new diagonal line
segment named UT having
a measure of 25cm.
4. Name the newly formed
triangle as STU and
indicate the measures of the
three sides of STU .
6. Teacher’s Activity Students’ Activity
What side of STU that corresponds to the
side MO of MNO ?
Yes Aaron
Very good!
Since the two sides are corresponding, then
what have you observed about their measures?
Yes Cheyenne
That’s right
When they have the same measures, what are
we going to call them?
Yes Annie
That’s correct
What side of STU that corresponds to the
side MN of MNO ?
Yes Sunshine
Very good!
How are you going to describe the two sides:
MN and ST .
Yes Panfy
Exactly!
How are you going to describe the last pair of
sides; UT and NO?
It is the side SU .
SU and MO have the same measures.
The two sides are congruent.
It is the side ST .
MN and ST are corresponding and congruent
because they have the same measures.
U
S
T
O
M N
20cm20cm
25cm
25cm
15cm 15cm
7. Teacher’s Activity Students’ Activity
Yes Ellajane
Absolutely!
D. Abstraction
Based on the information, can we now
determine that the STU and MNO are
congruent?
Then, why did you say “yes”?
Any idea?
Yes Evan!
Amazing!
Based on Evan’s answer, how are you going to
state the SSS (Side-Side-Side) Congruence
Postulate?
Exactly!
What else?
Yes Sunshine
Very good!
UT and NO are corresponding and they are also
congruent because they have the same
measures which are both 25cm.
Yes Sir
We can now determine that the STU and
MNO are congruent because the three sides
of STU are corresponding and congruent to
the three sides of MNO .
SSS Congruence Postulate
If the three sides of a traingle are
conrresponding and congruent to the three
sides of the other triangle, th the two triangles
are congruent.
SSS Congruence Postulate
If the three sides of a traingle are congruent to
the three sides of another triangle, then they are
congruent.
8. Teacher’s Activity Students’ Activity
For your better understanding, here is now the
exact statement for SSS Congruence Postulate.
Everybody read!
Values Integration
In a triangle, there are three are three sides,
they serve as a group, what if one of the three
sides is missing, can we still form a triangle?
That’s right; we cannot form a triangle with the
two sides left. They should be complete.
In real life situation class, how would you
value a certain member in your group?
Yes Arnie Glenn!
SSS (Side-Side-Side) Congruence Postulate
If the three sides of one triangle are congruent
to the corresponding three sides of another
triangle, then the triangles are conguent.
Example:
IfOT UN ,OS PN and ST UP then
OST PNU .
No sir
In a group, each memeber has an important
role or function so if one member will be
missing then a group cannot fucntion well.
Example in a certain band, if the vocalist or
guitarist will be missing then that certain
cannot perform well because they are not
T
S
O N
P
U
9. Teacher’s Activity Students’ Activity
Absolutely!
E. Application
How important are congruent triangles in real
world class? How are they being applied?
Yes Evan!
Amazing!
What a nice answer!
Activity 1
Directions: Complete the congruent marks of
the following pairs of triangles to illustrate that
they are congruent through SSS Congruence
Postulate.
1.
2.
complete. So they should value each member,
they should have unity and cooperation within
their group.
Traingles are ver important since they are
useful in constructing geometric structures like
bridges, houses, hospitals, buildings and other
establishements that involve triagles. They
served as the basic foundation to make the
structures strong, balance and safe.
11. 1. e
2. d
3. c
4. b
5. a
Teacher’s Activity Students’ Activity
VI. Assignment
Directions: In a one-half crosswise, prove that
XAY and FEG are congruent through SSS
Congruence Postulate. Give at least three
statements with corresponding reasons. Make it
in a tabular form. Pass it next meeting.
Teacher’s Activity Students’ Activity
V. Evaluation
Directions: Match the given sides in Column A
to their corresponding side in column B to
show that the following pairs of triangles are
congruent through SSS Congruence Postulate.
Column A Column B
1. ABC 8 ,AB cm 9 ,BC cm 12AC cm
DEF 8DE cm , ?,EF 12DF cm
.) 25 2a cm
2. GHI 7 ,GH cm 6 ,HI cm ?GI
JKL 7 ,KJ cm 6 ,KL cm 8JL cm
90
. 15
3
b cm
3. MNO ?,MO 12NO cm , 14MN cm
PQR 10 ,PR cm 12 ,PQ cm 14QR cm
24
. 2
2
c cm
4. STU 18 ,SU cm 17 ,TU cm 15ST cm
VWX 18 ,VX cm 17 ,WX cm ?VW
64
.
8
d cm
5. YZA 5 ,YZ cm ?,AY 9ZA cm
BCD 5 ,CD cm 7BC cm 9BD cm
. 2 10 11e cm