1) The document defines an angle as being formed by two rays with a common endpoint called the vertex. Angles can have points in their interior, exterior, or on the angle.
2) There are three main ways to name an angle: using three points with the vertex in the middle, using just the vertex point when it is the only angle with that vertex, or using a number within the angle.
3) There are four types of angles: acute, right, obtuse, and straight. Angles are measured in degrees with a full circle being 360 degrees.
This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
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- Definition of Angles
- Parts of Angles
- Protractor
- Kinds of Angles
- Measuring Angles
The Assignment on the last slide is for them to have a background on the next lesson.
This document defines and describes different types of angles and triangles. It discusses acute, right, and obtuse angles. It also defines equilateral, isosceles, right, and scalene triangles. The document notes that the interior angles of a triangle always sum to 180 degrees and that angles are measured using a protractor.
ALGEBRAIC-EXPRESSIONS-AND-EQUATIONS ART grade 6.pptxARTURODELROSARIO1
This document provides examples and explanations of algebraic expressions and equations. It begins by defining variables in expressions and equations. Examples are then given of translating sentences to algebraic expressions and equations. The document also distinguishes between expressions and equations. Several word problems are presented and solved, writing the corresponding algebraic equations. The key steps are to understand the problem, plan by identifying the variables and mapping words to symbols, solve the resulting equation, and check the work.
This document defines and provides properties of various quadrilaterals: squares have equal sides and right angles; parallelograms have opposite sides that are equal and parallel; kites have perpendicular diagonals with the longer diagonal bisecting the shorter; trapezoids have one set of parallel sides; rectangles have opposite sides that are equal length and parallel with right angles; and rhombuses have equal sides and diagonals that bisect and are perpendicular to each other. Cool facts about squares include that they are also parallelograms, rhombuses, trapezoids, and rectangles with 4 lines of symmetry and specific relationships between sides, angles, and diagonals. Formulas for perimeter and area of some shapes
The document discusses exponential notation and powers. It introduces exponential notation as a way to represent repeated multiplication more concisely using exponents. Examples show how to write numbers raised to powers using exponential notation and the use of parentheses with fractional or negative bases. A practice section reinforces understanding of exponential notation and when to use parentheses.
The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
1) The document defines an angle as being formed by two rays with a common endpoint called the vertex. Angles can have points in their interior, exterior, or on the angle.
2) There are three main ways to name an angle: using three points with the vertex in the middle, using just the vertex point when it is the only angle with that vertex, or using a number within the angle.
3) There are four types of angles: acute, right, obtuse, and straight. Angles are measured in degrees with a full circle being 360 degrees.
This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
This preview may not appear the same on the actual version of the PPT slides.
Some formats may change due to font and size settings available on the audience's device.
To get/buy a soft copy, please send a request to queenyedda@gmail.com
Inclusions of the file attachment:
* Fonts used
* Soft copy of the WHOLE ppt slides with effects
ACCEPTING COMMISSIONED POWERPOINT SLIDES
ACCEPTING COMMISSIONED POWERPOINT SLIDES
ACCEPTING COMMISSIONED POWERPOINT SLIDES
EMAIL queenyedda@gmail.com
- - - - - - - - - - - - -
- Definition of Angles
- Parts of Angles
- Protractor
- Kinds of Angles
- Measuring Angles
The Assignment on the last slide is for them to have a background on the next lesson.
This document defines and describes different types of angles and triangles. It discusses acute, right, and obtuse angles. It also defines equilateral, isosceles, right, and scalene triangles. The document notes that the interior angles of a triangle always sum to 180 degrees and that angles are measured using a protractor.
ALGEBRAIC-EXPRESSIONS-AND-EQUATIONS ART grade 6.pptxARTURODELROSARIO1
This document provides examples and explanations of algebraic expressions and equations. It begins by defining variables in expressions and equations. Examples are then given of translating sentences to algebraic expressions and equations. The document also distinguishes between expressions and equations. Several word problems are presented and solved, writing the corresponding algebraic equations. The key steps are to understand the problem, plan by identifying the variables and mapping words to symbols, solve the resulting equation, and check the work.
This document defines and provides properties of various quadrilaterals: squares have equal sides and right angles; parallelograms have opposite sides that are equal and parallel; kites have perpendicular diagonals with the longer diagonal bisecting the shorter; trapezoids have one set of parallel sides; rectangles have opposite sides that are equal length and parallel with right angles; and rhombuses have equal sides and diagonals that bisect and are perpendicular to each other. Cool facts about squares include that they are also parallelograms, rhombuses, trapezoids, and rectangles with 4 lines of symmetry and specific relationships between sides, angles, and diagonals. Formulas for perimeter and area of some shapes
The document discusses exponential notation and powers. It introduces exponential notation as a way to represent repeated multiplication more concisely using exponents. Examples show how to write numbers raised to powers using exponential notation and the use of parentheses with fractional or negative bases. A practice section reinforces understanding of exponential notation and when to use parentheses.
The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
1. The document discusses linear pairs of angles and how to determine if two angles form a linear pair.
2. It provides examples of drawing angles and labeling common and uncommon sides to identify linear pairs. Properties of linear pairs are explained, including that angles in a linear pair are supplementary.
3. Analyze statements about linear pairs and determine if they are always, sometimes, or never true. Solve word problems involving finding missing angle measures in linear pairs.
The document provides instructions for finding missing angles in triangles and quadrilaterals. It defines different types of angles and properties of triangles and quadrilaterals, such as the sum of interior angles in a triangle equaling 180 degrees and in a quadrilateral equaling 360 degrees. It then demonstrates using these properties to calculate missing angles when given other angle measures in example problems.
Patterns are arrangements that follow a rule, such as shapes sorted in a specific order or numbers in a sequence. This document discusses how patterns can be found in shapes, numbers, size, and telling time. It encourages readers to identify more patterns after learning about them.
This document provides an overview of squaring numbers and finding square roots. It discusses key concepts such as:
- Squaring a number means multiplying a number by itself
- Perfect squares are numbers that can be written as the square of a whole number
- The square root of a number is another number that, when multiplied by itself, equals the original number
- Examples are provided of finding the square of numbers and the square roots of perfect squares.
This document provides an overview of triangles, including definitions, types, properties, secondary parts, congruency, and area calculations. It defines a triangle as a 3-sided polygon with three angles and vertices. Triangles are classified by side lengths as equilateral, isosceles, or scalene, and by angle measures as acute, obtuse, or right. Key properties discussed include the angle sum theorem, exterior angle theorem, and Pythagorean theorem. Secondary parts like medians, altitudes, perpendicular bisectors, and angle bisectors are also defined. Tests for triangle congruency such as SSS, SAS, ASA, and RHS are outlined. Formulas are provided for calculating the areas of
This document contains examples of word problems involving integers using addition, subtraction, multiplication, and division. It provides 7 practice word problems working with integers, explaining the calculations to solve for temperatures, altitudes, money withdrawals, golf scores, and differences between high and low points.
The document defines and compares different types of quadrilaterals (shapes with four sides):
- Squares and rhombi both have four sides of equal length but squares have four right angles while rhombi have two acute and two obtuse angles.
- Rectangles and parallelograms both have two sets of parallel sides but rectangles have four right angles while parallelograms have two acute and two obtuse angles.
- Trapezoids have two sides that are parallel and two sides that are not parallel.
The document defines and provides examples of the five main types of angles: right angles measure 90 degrees, acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, straight angles measure 180 degrees, and reflex angles are greater than 180 degrees but less than 360 degrees. Examples are given of each type of angle to illustrate how to identify them.
1) Polygons are named based on the number of sides, such as triangles having 3 sides and quadrilaterals having 4 sides.
2) The interior angles of polygons can be classified as regular, equilateral, equiangular or concave/convex based on the shape of the angles.
3) The sum of the interior angles of any convex polygon is (n-2)×180°, where n is the number of sides, and the sum of the exterior angles is always 360° for any convex polygon.
The document provides instructions on how to calculate the volume of various geometric shapes including cubes, cuboids, cylinders, spheres, cones, and square pyramids. For each shape, it lists the volume formula, defines the variables, and provides step-by-step instructions for measuring and calculating volume using the appropriate formula.
This document discusses the properties of parallelograms. It defines key terms like congruent, bisect, consecutive angles, supplementary angles, and parallel. It then lists six properties of parallelograms: 1) A diagonal divides a parallelogram into two congruent triangles, 2) Opposite sides are congruent, 3) Opposite angles are congruent, 4) Consecutive angles are supplementary, 5) If one angle is right, all angles are right, and 6) The diagonals bisect each other. An example problem demonstrates applying these properties to show that a given quadrilateral is a parallelogram. In closing, it wishes the reader a nice day.
Mathematics 7: Angles (naming, types and how to measure them)Romne Ryan Portacion
An angle is defined as the amount of turn between two straight lines that share a common endpoint called the vertex. Angles are measured in degrees using a protractor and can be acute (between 0-90 degrees), right (90 degrees), obtuse (between 90-180 degrees), or straight (180 degrees). Angles can be named using the vertex letter and the first letters of the lines that form the angle, such as ∠BAC.
This document discusses triangles and their classifications. It defines a triangle as a three-sided polygon with three interior angles that sum to 180 degrees. Triangles are classified based on their interior angles as acute, right, or obtuse triangles, or as equiangular triangles if the three angles are equal. They are also classified based on the lengths of their sides as scalene, isosceles, or equilateral triangles. Several triangle types such as right, obtuse, isosceles and equilateral triangles are defined. The hypotenuse of a right triangle is described as the side opposite the right angle. The Pythagorean theorem relating the sides of a right triangle is presented. The document concludes with a 10 question
Two angles are adjacent if they share a common side and vertex. Vertical angles are angles opposite each other formed when two lines intersect, and they are congruent. This document discusses adjacent angles, vertical angles, and uses examples like naming angles and determining missing angle measures to teach properties of these angle types.
Cartesian Coordinate Plane - Mathematics 8Carlo Luna
This document explains the Cartesian coordinate plane. It describes how the plane is divided into four quadrants by the x and y axes which intersect at the origin. It provides examples of plotting points using ordered pairs with coordinates (x,y). The document also notes that Rene Descartes developed this system by combining algebra and geometry. It includes an activity for students to physically position themselves on the x and y axes to learn the coordinate system.
Geometry is the branch of mathematics that measures and compares points, lines, angles, surfaces, and solids. It defines basic shapes such as points, lines, rays, angles, and planes. It also covers types of angles and intersections between lines. Additionally, it categorizes polygons by number of sides and characteristics. Key concepts include perimeter, area, symmetry, and three-dimensional solids. The document provides definitions and examples of basic geometric elements, shapes, their properties, and how to measure them.
This document provides information about nets and how to construct them for various three-dimensional geometric shapes such as cubes, rectangular prisms, pyramids, cylinders, and cones. It includes directions for folding nets to create models and investigations into properties of shapes made from different nets. The document contains overviews of key aspects of nets, examples of specific nets, and questions or activities for students to explore nets and the relationships between two-dimensional net patterns and the three-dimensional shapes they form.
1. The document discusses angles formed when lines are intersected by a transversal line.
2. It defines types of angles formed, including corresponding angles, alternate interior/exterior angles, and consecutive interior/exterior angles.
3. Examples are provided to demonstrate identifying angle types and using angle properties involving parallel lines cut by a transversal.
The document discusses different types of polygons. It defines a polygon as a closed shape with three or more sides and distinguishes between convex polygons, where any two interior points can be connected by a line segment staying inside the figure, and concave polygons, where the line segment may pass outside. It also distinguishes between regular polygons with equal sides and angles and irregular polygons. Finally, it classifies polygons based on the number of sides they have, such as triangles having three sides, quadrilateral four sides, and so on.
The document discusses the Order of Operations, which provides rules for evaluating mathematical expressions with multiple operations. It explains that the acronym PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - represents the correct order to evaluate terms from left to right. Several example problems are provided and worked through step-by-step to demonstrate how following the Order of Operations determines the correct result.
This document provides formulas and examples for calculating the perimeter, area, and volume of basic shapes like cubes and cuboids. It introduces the volume formula for cubes and cuboids and then works through 5 examples of applying the formula to find the volume of cubes and cuboids given their dimensions. It concludes with an exercise to find the volume of a given cube.
1. The document discusses linear pairs of angles and how to determine if two angles form a linear pair.
2. It provides examples of drawing angles and labeling common and uncommon sides to identify linear pairs. Properties of linear pairs are explained, including that angles in a linear pair are supplementary.
3. Analyze statements about linear pairs and determine if they are always, sometimes, or never true. Solve word problems involving finding missing angle measures in linear pairs.
The document provides instructions for finding missing angles in triangles and quadrilaterals. It defines different types of angles and properties of triangles and quadrilaterals, such as the sum of interior angles in a triangle equaling 180 degrees and in a quadrilateral equaling 360 degrees. It then demonstrates using these properties to calculate missing angles when given other angle measures in example problems.
Patterns are arrangements that follow a rule, such as shapes sorted in a specific order or numbers in a sequence. This document discusses how patterns can be found in shapes, numbers, size, and telling time. It encourages readers to identify more patterns after learning about them.
This document provides an overview of squaring numbers and finding square roots. It discusses key concepts such as:
- Squaring a number means multiplying a number by itself
- Perfect squares are numbers that can be written as the square of a whole number
- The square root of a number is another number that, when multiplied by itself, equals the original number
- Examples are provided of finding the square of numbers and the square roots of perfect squares.
This document provides an overview of triangles, including definitions, types, properties, secondary parts, congruency, and area calculations. It defines a triangle as a 3-sided polygon with three angles and vertices. Triangles are classified by side lengths as equilateral, isosceles, or scalene, and by angle measures as acute, obtuse, or right. Key properties discussed include the angle sum theorem, exterior angle theorem, and Pythagorean theorem. Secondary parts like medians, altitudes, perpendicular bisectors, and angle bisectors are also defined. Tests for triangle congruency such as SSS, SAS, ASA, and RHS are outlined. Formulas are provided for calculating the areas of
This document contains examples of word problems involving integers using addition, subtraction, multiplication, and division. It provides 7 practice word problems working with integers, explaining the calculations to solve for temperatures, altitudes, money withdrawals, golf scores, and differences between high and low points.
The document defines and compares different types of quadrilaterals (shapes with four sides):
- Squares and rhombi both have four sides of equal length but squares have four right angles while rhombi have two acute and two obtuse angles.
- Rectangles and parallelograms both have two sets of parallel sides but rectangles have four right angles while parallelograms have two acute and two obtuse angles.
- Trapezoids have two sides that are parallel and two sides that are not parallel.
The document defines and provides examples of the five main types of angles: right angles measure 90 degrees, acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, straight angles measure 180 degrees, and reflex angles are greater than 180 degrees but less than 360 degrees. Examples are given of each type of angle to illustrate how to identify them.
1) Polygons are named based on the number of sides, such as triangles having 3 sides and quadrilaterals having 4 sides.
2) The interior angles of polygons can be classified as regular, equilateral, equiangular or concave/convex based on the shape of the angles.
3) The sum of the interior angles of any convex polygon is (n-2)×180°, where n is the number of sides, and the sum of the exterior angles is always 360° for any convex polygon.
The document provides instructions on how to calculate the volume of various geometric shapes including cubes, cuboids, cylinders, spheres, cones, and square pyramids. For each shape, it lists the volume formula, defines the variables, and provides step-by-step instructions for measuring and calculating volume using the appropriate formula.
This document discusses the properties of parallelograms. It defines key terms like congruent, bisect, consecutive angles, supplementary angles, and parallel. It then lists six properties of parallelograms: 1) A diagonal divides a parallelogram into two congruent triangles, 2) Opposite sides are congruent, 3) Opposite angles are congruent, 4) Consecutive angles are supplementary, 5) If one angle is right, all angles are right, and 6) The diagonals bisect each other. An example problem demonstrates applying these properties to show that a given quadrilateral is a parallelogram. In closing, it wishes the reader a nice day.
Mathematics 7: Angles (naming, types and how to measure them)Romne Ryan Portacion
An angle is defined as the amount of turn between two straight lines that share a common endpoint called the vertex. Angles are measured in degrees using a protractor and can be acute (between 0-90 degrees), right (90 degrees), obtuse (between 90-180 degrees), or straight (180 degrees). Angles can be named using the vertex letter and the first letters of the lines that form the angle, such as ∠BAC.
This document discusses triangles and their classifications. It defines a triangle as a three-sided polygon with three interior angles that sum to 180 degrees. Triangles are classified based on their interior angles as acute, right, or obtuse triangles, or as equiangular triangles if the three angles are equal. They are also classified based on the lengths of their sides as scalene, isosceles, or equilateral triangles. Several triangle types such as right, obtuse, isosceles and equilateral triangles are defined. The hypotenuse of a right triangle is described as the side opposite the right angle. The Pythagorean theorem relating the sides of a right triangle is presented. The document concludes with a 10 question
Two angles are adjacent if they share a common side and vertex. Vertical angles are angles opposite each other formed when two lines intersect, and they are congruent. This document discusses adjacent angles, vertical angles, and uses examples like naming angles and determining missing angle measures to teach properties of these angle types.
Cartesian Coordinate Plane - Mathematics 8Carlo Luna
This document explains the Cartesian coordinate plane. It describes how the plane is divided into four quadrants by the x and y axes which intersect at the origin. It provides examples of plotting points using ordered pairs with coordinates (x,y). The document also notes that Rene Descartes developed this system by combining algebra and geometry. It includes an activity for students to physically position themselves on the x and y axes to learn the coordinate system.
Geometry is the branch of mathematics that measures and compares points, lines, angles, surfaces, and solids. It defines basic shapes such as points, lines, rays, angles, and planes. It also covers types of angles and intersections between lines. Additionally, it categorizes polygons by number of sides and characteristics. Key concepts include perimeter, area, symmetry, and three-dimensional solids. The document provides definitions and examples of basic geometric elements, shapes, their properties, and how to measure them.
This document provides information about nets and how to construct them for various three-dimensional geometric shapes such as cubes, rectangular prisms, pyramids, cylinders, and cones. It includes directions for folding nets to create models and investigations into properties of shapes made from different nets. The document contains overviews of key aspects of nets, examples of specific nets, and questions or activities for students to explore nets and the relationships between two-dimensional net patterns and the three-dimensional shapes they form.
1. The document discusses angles formed when lines are intersected by a transversal line.
2. It defines types of angles formed, including corresponding angles, alternate interior/exterior angles, and consecutive interior/exterior angles.
3. Examples are provided to demonstrate identifying angle types and using angle properties involving parallel lines cut by a transversal.
The document discusses different types of polygons. It defines a polygon as a closed shape with three or more sides and distinguishes between convex polygons, where any two interior points can be connected by a line segment staying inside the figure, and concave polygons, where the line segment may pass outside. It also distinguishes between regular polygons with equal sides and angles and irregular polygons. Finally, it classifies polygons based on the number of sides they have, such as triangles having three sides, quadrilateral four sides, and so on.
The document discusses the Order of Operations, which provides rules for evaluating mathematical expressions with multiple operations. It explains that the acronym PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - represents the correct order to evaluate terms from left to right. Several example problems are provided and worked through step-by-step to demonstrate how following the Order of Operations determines the correct result.
This document provides formulas and examples for calculating the perimeter, area, and volume of basic shapes like cubes and cuboids. It introduces the volume formula for cubes and cuboids and then works through 5 examples of applying the formula to find the volume of cubes and cuboids given their dimensions. It concludes with an exercise to find the volume of a given cube.
A store is having a sale where all items are 20% off the original price. A customer buys an item originally priced at $100. With the 20% discount, the sale price is $80. Then a 7% sales tax is applied to the sale price of $80, so the total amount the customer pays is $80 + $5.60 = $85.60.
This document provides information for a math lesson. The goal is for students to learn how to calculate percentages, discounts, ratios and proportions by solving word problems. It was created by a teacher for her class of 5 students in their third term.
The document discusses the back part of something. In a concise yet informative manner, it focuses on key details about the rear section without providing unnecessary context or examples. Overall, the summary aims to efficiently convey the essential meaning and topic of the original text in 3 sentences or less.
Getting to work and class on time requires reliable transportation options. Public transportation can help those without cars commute affordably and reduce traffic and emissions. Ridesharing services also offer alternatives to solo driving that are convenient for both commuters and the environment.
This document outlines goal 3 of analyzing data, which includes learning about different types of graphs such as bar graphs, line graphs, pie charts and pictograms to represent data, as well as statistical terms like mean, median, mode and range. It also provides links to online resources for interactive practice exercises and video tutorials related to the concepts in this data analysis goal.
This document discusses when to use the greatest common factor (GCF) or least common multiple (LCM) to solve word problems. It provides key words associated with each method and examples of problems solved using GCF and LCM. It then provides a quiz with 6 word problems asking the reader to identify whether each could be solved using GCF or LCM.
Solutions for the exercises to practice in class about gcf and lcmMartha Ardila Ibarra
This document provides solutions for classroom exercises on greatest common factor (GCF) and least common multiple (LCM). The exercises aimed to practice calculating the GCF and LCM of pairs of numbers through sample problems and their answers. Finding common factors and multiples is fundamental to understanding these key mathematical concepts.
Exercises to practice roots and powers solutions part 1 and 2Martha Ardila Ibarra
Practicing solving roots and powers is important for math skills. This document provides exercises to help with roots and powers solutions. The exercises cover topics like simplifying radical expressions, evaluating expressions with roots and powers, and solving equations that involve roots or powers.
Exercises to practice roots and powers solutions part 1 and 2Martha Ardila Ibarra
Practicing roots and powers solutions is important for math skills. This document provides exercises to help with roots and powers. The exercises cover simplifying expressions with roots and exponents, evaluating expressions with roots and exponents, and solving equations that involve roots and powers.
This document contains math problems involving powers and roots. In part 1, there are 6 equations with addition, subtraction, multiplication and division operations. In part 2, there are 9 expressions involving extracting the square, cube and fourth roots of various numbers. The document appears to be math homework or practice problems for a student named Martha Liliana Ardila Ibarra in group 5.
The document provides examples of finding the greatest common factor (GCF) and least common multiple (LCM) of different numbers. It lists 7 exercises asking the reader to find the GCF and LCM of specific sets of numbers, including 12, 15, and 18 in the first exercise and 25, 75, and 200 in the last exercise. The exercises are intended to help the reader practice finding GCF and LCM at home.
The goal is for students to be able to identify the first 20 prime numbers, find multiples, factors and divisors of two-digit numbers using divisibility rules, and know square numbers up to 100.