The document provides information about polygons and symmetry for a 1st form mathematics lesson. It includes learning outcomes, the lesson plan, content about polygon naming, properties, and determining lines of symmetry. It also includes evaluation questions and vocabulary words to help students learn about polygons and symmetry.
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.
This document discusses different types of quadrilaterals (four-sided polygons), including parallelograms, rectangles, rhombuses, and squares. It provides properties to define each shape and instructs how to make a foldable with examples of each quadrilateral type. Key properties include: parallelograms have two pairs of parallel sides; rectangles are parallelograms with four right angles; rhombuses are parallelograms with four congruent sides; squares are rectangles and rhombuses with four right angles and four congruent sides. A Venn diagram compares the properties of these quadrilaterals.
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.
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 defines and provides properties of kites and trapezoids. It states that a kite is a quadrilateral with two pairs of congruent consecutive sides, and its diagonals are perpendicular. A trapezoid has one pair of parallel sides called bases, and the nonparallel sides are legs. An isosceles trapezoid has two congruent base angles. The midsegment of a trapezoid is parallel to the bases and is half the sum of the base lengths. Examples are provided to demonstrate solving problems using properties of kites and trapezoids.
The document defines and discusses different types of polygons. The main points are:
1. A polygon is a plane figure formed by three or more line segments that intersect only at their endpoints to form a closed region.
2. Polygons can be classified as convex or concave based on whether any line segment connecting two points within the polygon lies entirely inside or outside the polygon.
3. Regular polygons are polygons that are both equilateral (all sides the same length) and equiangular (all interior angles the same measure).
The document defines a circle as a closed curve where all points are equidistant from the center. It lists and describes the main parts of a circle, including the radius, diameter, chord, tangent line, secant line, central angle, and inscribed angle. The radius is the line from the center to the circumference, the diameter passes through the center and is twice the length of the radius, and a chord connects two points on the circle.
The document discusses different methods for proving triangles are congruent: SSS, SAS, ASA, AAS, and HL. It states that if the specified corresponding parts of two triangles are congruent using one of these methods, then the triangles are congruent. The document provides examples of congruence proofs using these methods and their reasoning.
Exterior Angles and Triangle Inequalities.pptxLAILABALINADO2
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This document discusses exterior angles of polygons and triangles. It defines exterior angles as angles formed when the sides of a polygon are extended beyond the interior angles. 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. Several examples demonstrate how to use the exterior angle theorem to calculate unknown angle measures.
The document discusses cube roots and their properties. It defines a cube root as the value that when multiplied by itself three times equals the original number. Cube roots are always expressed with an index of 3. Perfect cubes are numbers that can be written as the cube of another number, and their exact cube roots can be found. The document provides examples of finding cube roots of perfect cubes and simplifying cube roots by factoring the radicand into a perfect cube times another term. Not all cube roots can be simplified if the number is not a perfect cube or does not have a perfect cube factor.
The document defines different types of triangles and quadrilaterals. It discusses the properties of triangles based on their angles and sides. It then defines different types of quadrilaterals such as parallelograms, rectangles, rhombuses, squares, trapezoids, and trapeziums. It discusses their properties including opposite sides, opposite angles, diagonals, and angle sums. Examples of each shape are provided and classified based on their properties. Statements about relationships between the different shapes are classified as true or false.
1) The document defines and provides examples of different types of angles including adjacent angles, complementary angles, supplementary angles, vertical angles, and angles formed when parallel lines are cut by a transversal.
2) It then provides practice problems involving calculating missing angles using properties such as angles summing to 90, 180 degrees, and the interior angles of triangles summing to 180 degrees.
3) The final problems involve identifying congruent, supplementary, and corresponding angles related to two parallel lines cut by a transversal.
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 document discusses different types of quadrilaterals including trapezoids, kites, parallelograms, rectangles, rhombuses, and squares. It provides definitions and properties for each shape. Key properties include:
1) A trapezoid has one pair of parallel sides, leg angles are supplementary, and the midsegment is half the sum of the bases.
2) A kite has two pairs of consecutive congruent sides, diagonals are perpendicular, and one pair of opposite angles are congruent.
3) Parallelograms have opposite sides parallel and opposite angles congruent. Rectangles and squares are types of parallelograms with right angles or all sides congruent,
The document discusses the exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the remote interior angles and is greater than either of the remote interior angles. It defines key terms such as exterior angle, interior angle, remote interior angle, and provides examples of applying the exterior angle theorem and exterior angle inequality theorem to solve problems about angle measures in triangles.
The document provides information about finding the measures of angles in triangles, quadrilaterals, pentagons, and hexagons based on the number of sides. It states that the sum of interior angles in a triangle is 180 degrees. For polygons with more sides, the sum of interior angles is (n-2) * 180 degrees, where n is the number of sides. It also provides information on regular polygons, exterior angles, and using formulas to find individual angle measures.
This document defines key terms and formulas related to circles, including circumference and area. It defines a circle as all points equidistant from a given center point. The radius is the distance from the center to the edge, and the diameter runs through the center. Circumference is defined as the distance around the circle and is calculated using either C=2Ï€r or C=Ï€d. Area is calculated as A=Ï€r^2. Several examples are provided to demonstrate calculating circumference and area using these formulas.
Lesson 1.9 a adding and subtracting rational numbersJohnnyBallecer
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To add or subtract fractions with the same denominator:
1. Add or subtract the numerators
2. Keep the original denominator
3. Simplify if possible
To add or subtract fractions with different denominators:
1. Find the least common denominator (LCD)
2. Convert all fractions to equivalent fractions with the LCD as the denominator
3. Add or subtract the numerators
4. Keep the LCD as the denominator
Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.
This lesson covers properties of trapezoids and kites. It defines a trapezoid as a quadrilateral with one pair of parallel sides, and defines properties including that the nonparallel sides are legs and the parallel sides are bases. An isosceles trapezoid has congruent legs. The lesson also defines a kite as a quadrilateral with two pairs of consecutive congruent sides, and defines properties such as perpendicular diagonals and congruent non-vertex angles. Examples of solving problems involving finding angle measures of trapezoids and kites are provided.
1.5 Complementary and Supplementary Angles Dee Black
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Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja
The document discusses various angle relationships including:
- Defining acute, obtuse, right, and straight angles
- Explaining how to name angles based on their vertices
- Classifying pairs of angles as complementary, supplementary, or neither based on their degree measures
- Using properties of complementary and supplementary angles to find the measure of a missing angle
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.
The document discusses interior and exterior angles of polygons. It states that the sum of the interior angles of a convex polygon with n sides is (n-2)180 degrees. It also states that the sum of the exterior angles of any convex polygon is 360 degrees. Some examples are provided to demonstrate calculating interior and exterior angles of different polygons.
The document defines and discusses congruence of geometric shapes. It states that two shapes are congruent if one can be transformed into the other using turns, flips, or slides. It then discusses congruence as it relates to lines, angles, vertices, triangles (scalene, isosceles, equilateral), quadrilaterals, and circles. Specifically, it notes that line segments of equal length and angles of equal measure are congruent, and provides examples of congruent triangles and quadrilaterals based on matching sides and angles.
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.
Algebra uses letters and symbols to represent values and their relationships, especially for solving equations. An algebraic expression combines these letters and symbols. An example expression is 8x^2. Expressions contain constants, variables, and exponents. Constants represent exact values like numbers. Variables stand for unknown values, often letters. Exponents written above a variable show how many times it is used in the expression.
1. The document discusses classifying and defining polygons based on the number of sides. Polygons are named using Greek and Latin prefixes like triangle for 3 sides and pentagon for 5 sides.
2. It provides a chart for students to complete showing the name, number of sides, and number of diagonals for polygons up to 12 sides.
3. Additional topics covered include naming polygons, finding diagonals, examples of polygons in coins, and challenges for larger polygons.
The document discusses different methods for proving triangles are congruent: SSS, SAS, ASA, AAS, and HL. It states that if the specified corresponding parts of two triangles are congruent using one of these methods, then the triangles are congruent. The document provides examples of congruence proofs using these methods and their reasoning.
Exterior Angles and Triangle Inequalities.pptxLAILABALINADO2
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This document discusses exterior angles of polygons and triangles. It defines exterior angles as angles formed when the sides of a polygon are extended beyond the interior angles. 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. Several examples demonstrate how to use the exterior angle theorem to calculate unknown angle measures.
The document discusses cube roots and their properties. It defines a cube root as the value that when multiplied by itself three times equals the original number. Cube roots are always expressed with an index of 3. Perfect cubes are numbers that can be written as the cube of another number, and their exact cube roots can be found. The document provides examples of finding cube roots of perfect cubes and simplifying cube roots by factoring the radicand into a perfect cube times another term. Not all cube roots can be simplified if the number is not a perfect cube or does not have a perfect cube factor.
The document defines different types of triangles and quadrilaterals. It discusses the properties of triangles based on their angles and sides. It then defines different types of quadrilaterals such as parallelograms, rectangles, rhombuses, squares, trapezoids, and trapeziums. It discusses their properties including opposite sides, opposite angles, diagonals, and angle sums. Examples of each shape are provided and classified based on their properties. Statements about relationships between the different shapes are classified as true or false.
1) The document defines and provides examples of different types of angles including adjacent angles, complementary angles, supplementary angles, vertical angles, and angles formed when parallel lines are cut by a transversal.
2) It then provides practice problems involving calculating missing angles using properties such as angles summing to 90, 180 degrees, and the interior angles of triangles summing to 180 degrees.
3) The final problems involve identifying congruent, supplementary, and corresponding angles related to two parallel lines cut by a transversal.
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 document discusses different types of quadrilaterals including trapezoids, kites, parallelograms, rectangles, rhombuses, and squares. It provides definitions and properties for each shape. Key properties include:
1) A trapezoid has one pair of parallel sides, leg angles are supplementary, and the midsegment is half the sum of the bases.
2) A kite has two pairs of consecutive congruent sides, diagonals are perpendicular, and one pair of opposite angles are congruent.
3) Parallelograms have opposite sides parallel and opposite angles congruent. Rectangles and squares are types of parallelograms with right angles or all sides congruent,
The document discusses the exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the remote interior angles and is greater than either of the remote interior angles. It defines key terms such as exterior angle, interior angle, remote interior angle, and provides examples of applying the exterior angle theorem and exterior angle inequality theorem to solve problems about angle measures in triangles.
The document provides information about finding the measures of angles in triangles, quadrilaterals, pentagons, and hexagons based on the number of sides. It states that the sum of interior angles in a triangle is 180 degrees. For polygons with more sides, the sum of interior angles is (n-2) * 180 degrees, where n is the number of sides. It also provides information on regular polygons, exterior angles, and using formulas to find individual angle measures.
This document defines key terms and formulas related to circles, including circumference and area. It defines a circle as all points equidistant from a given center point. The radius is the distance from the center to the edge, and the diameter runs through the center. Circumference is defined as the distance around the circle and is calculated using either C=2Ï€r or C=Ï€d. Area is calculated as A=Ï€r^2. Several examples are provided to demonstrate calculating circumference and area using these formulas.
Lesson 1.9 a adding and subtracting rational numbersJohnnyBallecer
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To add or subtract fractions with the same denominator:
1. Add or subtract the numerators
2. Keep the original denominator
3. Simplify if possible
To add or subtract fractions with different denominators:
1. Find the least common denominator (LCD)
2. Convert all fractions to equivalent fractions with the LCD as the denominator
3. Add or subtract the numerators
4. Keep the LCD as the denominator
Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.
This lesson covers properties of trapezoids and kites. It defines a trapezoid as a quadrilateral with one pair of parallel sides, and defines properties including that the nonparallel sides are legs and the parallel sides are bases. An isosceles trapezoid has congruent legs. The lesson also defines a kite as a quadrilateral with two pairs of consecutive congruent sides, and defines properties such as perpendicular diagonals and congruent non-vertex angles. Examples of solving problems involving finding angle measures of trapezoids and kites are provided.
1.5 Complementary and Supplementary Angles Dee Black
Ìý
Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja
The document discusses various angle relationships including:
- Defining acute, obtuse, right, and straight angles
- Explaining how to name angles based on their vertices
- Classifying pairs of angles as complementary, supplementary, or neither based on their degree measures
- Using properties of complementary and supplementary angles to find the measure of a missing angle
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.
The document discusses interior and exterior angles of polygons. It states that the sum of the interior angles of a convex polygon with n sides is (n-2)180 degrees. It also states that the sum of the exterior angles of any convex polygon is 360 degrees. Some examples are provided to demonstrate calculating interior and exterior angles of different polygons.
The document defines and discusses congruence of geometric shapes. It states that two shapes are congruent if one can be transformed into the other using turns, flips, or slides. It then discusses congruence as it relates to lines, angles, vertices, triangles (scalene, isosceles, equilateral), quadrilaterals, and circles. Specifically, it notes that line segments of equal length and angles of equal measure are congruent, and provides examples of congruent triangles and quadrilaterals based on matching sides and angles.
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.
Algebra uses letters and symbols to represent values and their relationships, especially for solving equations. An algebraic expression combines these letters and symbols. An example expression is 8x^2. Expressions contain constants, variables, and exponents. Constants represent exact values like numbers. Variables stand for unknown values, often letters. Exponents written above a variable show how many times it is used in the expression.
1. The document discusses classifying and defining polygons based on the number of sides. Polygons are named using Greek and Latin prefixes like triangle for 3 sides and pentagon for 5 sides.
2. It provides a chart for students to complete showing the name, number of sides, and number of diagonals for polygons up to 12 sides.
3. Additional topics covered include naming polygons, finding diagonals, examples of polygons in coins, and challenges for larger polygons.
The document outlines a 6-session unit on solid figures. In the unit, students will learn to identify and visualize three-dimensional shapes from two-dimensional drawings, understand properties of solids like faces and vertices, and determine if a net can form a given solid shape or vice versa. Sessions include learning solid shapes through models and examples, drawing solids, quizzes, creating riddles about shapes, and introducing nets of solids. The goal is for students to gain understanding and skills in visualizing and analyzing characteristics of two- and three-dimensional geometric shapes.
Lesson plan on polygons using contextual and interdisciplinary methodElton John Embodo
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This lesson plan teaches students about polygons over two 90-minute periods. On the first day, students define polygons, identify different types of polygons such as triangles and quadrilaterals, and distinguish between convex and concave polygons. Activities include a KWL chart, word search, making polygons with wire, and drawing points inside and on polygons. On the second day, students draw geometric structures emphasizing different polygon types. Assessment includes revisiting the KWL chart and an optional assignment defining quadrilaterals.
This document provides an overview of topics covered in a 4th grade geometry unit, including shapes, polygons, and 3-dimensional objects. The unit goals are to name and create various shapes, label shape parts, identify different triangles, understand 3D objects, and name 3D shapes. Sample activities are described like identifying shapes on worksheets, drawing and labeling shapes, naming polygons, and making 3D models from cut-outs. Reference materials like books and online resources are also listed.
This document contains 14 activities related to quadrilaterals and parallelograms. The activities involve identifying, classifying, constructing, and proving properties of different types of quadrilaterals. Students are asked to draw and measure quadrilaterals, find midpoints and diagonals, and justify properties of parallelograms, rectangles, rhombuses, kites, trapezoids, and other shapes. Questions provided with each activity assess students' understanding of key definitions and theorems about quadrilaterals.
The document describes several instructional materials for teaching mathematics concepts:
1. Grid board, modified geoboard, fraction slider, and number slider are used to teach perimeter, area, fractions, and integers.
2. Algebra tiles are used to model linear expressions, solve equations, and simplify polynomials.
3. Fraction pie relates fractions to circle circumference and parallelogram perimeter.
4. A powerpoint on perimeter and area teaches calculating these values for polygons and circles.
5. Models of the platonic solids, sphere, and archimedean solids are used to investigate their properties like surface area and volume.
The document provides a lesson on theorems for different types of parallelograms including rectangles, rhombuses, and squares. It begins with examples that prove various properties of these shapes using logical reasoning and theorems. It then summarizes the unique properties of each shape type, such as rectangles having four right angles and rhombuses having diagonals that bisect opposite angles. The lesson aims to help students understand and apply the theorems to solve problems involving different kinds of parallelograms.
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 information about polygons for a math class. It defines polygons as closed plane figures made of line segments and discusses key polygon concepts like sides, vertices, and naming conventions. The document then classifies polygons based on their number of sides, discusses convex and concave polygons, and provides practice exercises for classifying and drawing different polygon types.
APM event hosted by the South Wales and West of England Network (SWWE Network)
Speaker: Aalok Sonawala
The SWWE Regional Network were very pleased to welcome Aalok Sonawala, Head of PMO, National Programmes, Rider Levett Bucknall on 26 February, to BAWA for our first face to face event of 2025. Aalok is a member of APM’s Thames Valley Regional Network and also speaks to members of APM’s PMO Interest Network, which aims to facilitate collaboration and learning, offer unbiased advice and guidance.
Tonight, Aalok planned to discuss the importance of a PMO within project-based organisations, the different types of PMO and their key elements, PMO governance and centres of excellence.
PMO’s within an organisation can be centralised, hub and spoke with a central PMO with satellite PMOs globally, or embedded within projects. The appropriate structure will be determined by the specific business needs of the organisation. The PMO sits above PM delivery and the supply chain delivery teams.
For further information about the event please click here.
How to Configure Restaurants in Odoo 17 Point of SaleCeline George
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Odoo, a versatile and integrated business management software, excels with its robust Point of Sale (POS) module. This guide delves into the intricacies of configuring restaurants in Odoo 17 POS, unlocking numerous possibilities for streamlined operations and enhanced customer experiences.
How to Setup WhatsApp in Odoo 17 - Odoo ºÝºÝߣsCeline George
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Integrate WhatsApp into Odoo using the WhatsApp Business API or third-party modules to enhance communication. This integration enables automated messaging and customer interaction management within Odoo 17.
APM People Interest Network Conference 2025
-Autonomy, Teams and Tension: Projects under stress
-Tim Lyons
-The neurological levels of
team-working: Harmony and tensions
With a background in projects spanning more than 40 years, Tim Lyons specialised in the delivery of large, complex, multi-disciplinary programmes for clients including Crossrail, Network Rail, ExxonMobil, Siemens and in patent development. His first career was in broadcasting, where he designed and built commercial radio station studios in Manchester, Cardiff and Bristol, also working as a presenter and programme producer. Tim now writes and presents extensively on matters relating to the human and neurological aspects of projects, including communication, ethics and coaching. He holds a Master’s degree in NLP, is an NLP Master Practitioner and International Coach. He is the Deputy Lead for APM’s People Interest Network.
Session | The Neurological Levels of Team-working: Harmony and Tensions
Understanding how teams really work at conscious and unconscious levels is critical to a harmonious workplace. This session uncovers what those levels are, how to use them to detect and avoid tensions and how to smooth the management of change by checking you have considered all of them.
Mate, a short story by Kate Grenvile.pptxLiny Jenifer
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A powerpoint presentation on the short story Mate by Kate Greenville. This presentation provides information on Kate Greenville, a character list, plot summary and critical analysis of the short story.
Blind Spots in AI and Formulation Science Knowledge Pyramid (Updated Perspect...Ajaz Hussain
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This presentation delves into the systemic blind spots within pharmaceutical science and regulatory systems, emphasizing the significance of "inactive ingredients" and their influence on therapeutic equivalence. These blind spots, indicative of normalized systemic failures, go beyond mere chance occurrences and are ingrained deeply enough to compromise decision-making processes and erode trust.
Historical instances like the 1938 FD&C Act and the Generic Drug Scandals underscore how crisis-triggered reforms often fail to address the fundamental issues, perpetuating inefficiencies and hazards.
The narrative advocates a shift from reactive crisis management to proactive, adaptable systems prioritizing continuous enhancement. Key hurdles involve challenging outdated assumptions regarding bioavailability, inadequately funded research ventures, and the impact of vague language in regulatory frameworks.
The rise of large language models (LLMs) presents promising solutions, albeit with accompanying risks necessitating thorough validation and seamless integration.
Tackling these blind spots demands a holistic approach, embracing adaptive learning and a steadfast commitment to self-improvement. By nurturing curiosity, refining regulatory terminology, and judiciously harnessing new technologies, the pharmaceutical sector can progress towards better public health service delivery and ensure the safety, efficacy, and real-world impact of drug products.
Blind spots in AI and Formulation Science, IFPAC 2025.pdfAjaz Hussain
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The intersection of AI and pharmaceutical formulation science highlights significant blind spots—systemic gaps in pharmaceutical development, regulatory oversight, quality assurance, and the ethical use of AI—that could jeopardize patient safety and undermine public trust. To move forward effectively, we must address these normalized blind spots, which may arise from outdated assumptions, errors, gaps in previous knowledge, and biases in language or regulatory inertia. This is essential to ensure that AI and formulation science are developed as tools for patient-centered and ethical healthcare.
How to use Init Hooks in Odoo 18 - Odoo ºÝºÝߣsCeline George
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In this slide, we’ll discuss on how to use Init Hooks in Odoo 18. In Odoo, Init Hooks are essential functions specified as strings in the __init__ file of a module.
Finals of Rass MELAI : a Music, Entertainment, Literature, Arts and Internet Culture Quiz organized by Conquiztadors, the Quiz society of Sri Venkateswara College under their annual quizzing fest El Dorado 2025.
Prelims of Rass MELAI : a Music, Entertainment, Literature, Arts and Internet Culture Quiz organized by Conquiztadors, the Quiz society of Sri Venkateswara College under their annual quizzing fest El Dorado 2025.
4. EVALUATIONS HELP EXIT VOCABULARY WEBSITE LEARNING OUTCOMES LESSON PLAN INSTRUCTIONAL DESIGNER CONTENT SUMMARY POLYGONS
5. LEARNING OUTCOMES At the end of the lesson students are able to : Identify the concepts of polygons. Recognize and name polygons. Determine the number of sides, vertices and diagonals of given polygons. Identify the concepts of symmetry. Determine and draw the lines (s) of symmetry of shapes. Complete shapes given part of the shapes and the lines of symmetry.
6. LESSON PLAN Day : Thursday Date : 27/ 3 / 2008 Time : 9.00-10.20 am Form : 1 Motivasi Number of students : 35 Topic : 10 Learning Areas : Polygons Subtopic : 10.1 Recognizing Polygons. : 10.2 Symmetry. Learning Outcomes : At the end of the lesson, students should be able to: 1) Recognise and naming the polygons. 2) Determine the number of sides, vertices and diagonals of given polygon. 3) Determine and draw the lines (s) of symmet of shapes. 4) Complete shapes given part of the shades and the lines of symmetry.
7. Prior knowledge : Students knows the existence of certain object that’s have the shaped same as polygons in their surroundings. Scientific attitude : Being cooperative, thinking rationally and being confident and independent. Noble value : - Appreciating the all objects which we uses it everyday. - Being responsible about this object and it must uses in the right way. KBKK : Predicting, classifying, observing and using image and object to learn. BBM : Courseware of the real world of Polygons Form 1
8. Sources PPT: Introduction to recognize polygons, naming and properties of polygons. A diagram of polygons. KBKK/ Noble Values : - Having critical and analytical thinking, thinking rationally. - Appreciating the contribution of science and technology. 1) Students take note about developments of polygons. 2) Students are divided in group and ask to discuss and describe the the relationship between the sides, diagonals and vertices of polygons. 1) Teacher use the computer software to explain to students how to recognize and naming the polygons . 2) Teacher u se the concrete materials such as protractors, rulers, grid papers, geo-boards and computer software to explore the concept of polygons . . 3) Teacher shows a picture basic of polygons. 1 0. 2 Introduction of concept of polygons. Step 1 (25 min) Sources : The video of objects in polygon. KBKK/ Noble Values Observing, Appreciating the contribution of polygons. Students are watching the video that played by teacher. Teacher shows a video the real world of polygons. 10 .1 Introduction of polygons Induction set (2 min) Sources Students activities Teacher activities Content Phase
9. Sources 1) PPT: - Introduction of symmetry of shapes. - The diagram shapes of symmetry 2) Worksheet (activity 1) KBKK/ Noble Values - Observing, having critical and analytical thinking and being cooperative. 1) Students explore the characteristics symmetry by using mirrors, pattern blocks, folding papers or making inkblot designs. 2) Students explore the importance of symmetry in everyday situations (e.g. pattern on buildings and tiles). 1) Teacher teach students the introduction of concept of symmetry by using power point presentation. 2) Then, teacher shows a picture of symmetry. 3) Teacher describes the characteristics symmetry of polygons by using power point presentations. 10 .3 Introduction of concept of symmetry. Step 2 ( 20 min) Sources 1) PPT - Tutorial Students answer the quizzes. Teacher gives a tutorial for students. Tutorial Closing ( 30 min)
10. INSTRUCTIONAL DESIGNER NOOR FARALIZA JAMAK D20051021690 NORHAZWANI SELAMAT D20051021711 NOOR AIDA ABDULLAH D20051021691 NOR MAISARAH WAHAB D20051021699
12. Recognising polygons a b c d f e Do you know which of them are polygons? Click the next button to view the explanation
13. A polygon is a two dimensional shape that is enclosed by straight lines on all its sides. Based on the above diagrams, Is a three dimensional shape. Is a two dimensional shape but enclosed by a curve. Is not enclosed by its sides , and are two dimensional shapes that are enclosed by straight lines on all its sides. Therefore, , , and are polygons. f c e b d f d b a
18. Properties of Polygons Vertex Diagonal Side A polygon is a plane shape whose side are formed from three or more straight lines. A B C D
19. The table lists all the polygons having up to 8 sides. Click the name of each polygon in the table to see a diagram. 20 8 8 8 OCTAGON 14 7 7 7 HEPTAGON 9 6 6 6 HEXAGON 5 5 5 5 PENTAGON 2 4 4 4 QUADRILATERAL 0 3 3 3 TRIANGLE no. of diagonals no.of vertices no.of angels no. of sides Polygons
28. An object is said to have line (s) of the symmetry if one side of it overlaps exactly with the other. This can be done by folding the object along a specific line. line of symmetry Determining and drawing the line (s) of symmetry
29. How many line(s) of symmetry can you draw? CLICK the figure below to view the line(s) of symmetry
39. QUESTION 1 The figure below show a type of polygons. The polygon is pentagon heptagon hexagon trapezoid
40. Which of the following figures is a polygon? QUESTION 2
41. Choose the correct statement : Triangle has three sides and vertices true false The number of vertices is equal to the number of sides true false QUESTION 3
42. Which of the following has no symmetrical axis? QUESTION 4
43. Determine the number of lines of symmetry for the given shape. 2 5 4 3 QUESTION 5
64. SUMMARY POLYGON NAMING POLYGON RECOGNISE POLYGON PROPERTIES OF POLYGON According to number of side Example : triangle, quadrilateral, pentagon and etc. Vertices – points where two side meet Diagonal – lines joining two non-adjacent vertices The number of sides = the number of vertices
65. SYMMETRY Determining and drawing the line of symmetry Completing a symmetrical figure Line of symmetry has parts the match each other perfectly. To complete a shapes given part of shape and the line of symmetry.
66. Polygon- poligon Side - sisi Shape - bentuk Hexagon – heksagon Octagon – oktagon Quadrilateral – sisi empat Triangle – segi tiga Diagonal – pepenjuru Vertex – bucu Fold – lipat Mark – tanda Line of symmetry – garis simetri Symmetry - simetri VOCABULARY
67. Visit the following websites to learn more about polygons: http://www.mathleague.com/help/geometry/polygon.htm www.math.com/school/subject3/lessons/S3U2L1GL.html www.mcwdn.org/Geometry/Polygons.html www.sparknotes.com/math/geometry1/polygons/section1.html http://mathworld.wolfram.com/Polygon.html http://standards.nctm.org/document/eexamples/chap4/4.2/part2.htm
68. Back to main menu To back to the previous slide To proceed to the next slide To exit from the programme To know the glossary For additional information from web sites To recognize the icons Instructional designer HELP To view the selected figure