Perimeter
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The Area and Perimeter Pack
Help your children to learn about the area and perimeter of shapes with our bumper resource pack. Includes a variety of classroom teaching, display and activity resources to introduce the topic to your children and then extend their knowledge and skills!
Available from http://www.teachingpacks.co.uk/the-area-and-perimeter-pack/
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The Area and Perimeter Pack
Help your children to learn about the area and perimeter of shapes with our bumper resource pack. Includes a variety of classroom teaching, display and activity resources to introduce the topic to your children and then extend their knowledge and skills!
Available from http://www.teachingpacks.co.uk/the-area-and-perimeter-pack/
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This document introduces Mrs. Barnhill, the teacher of an online geometry course. She shares details about her background, teaching experience, family, hobbies, and education. She explains that she loves teaching geometry and wants students to get to know her. The document outlines the course tabs that students will use and directs them to start the orientation by following the instructions after the introductory video.
Unit 1 overview video
Unit 1 provides an overview of Euclidean geometry concepts including:
- Definitions of basic geometric terms like point, line, plane, ray, segment, angle
- Properties of collinear and coplanar points
- The postulate that the sum of parts equals the whole for segment addition
- 7 postulates that form the basis of Euclidean geometry, such as any two points defining a single unique line and any three non-collinear points defining a single unique plane.
Unit 3 final exam review
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This document discusses solving quadratic equations by graphing. It explains that a quadratic equation has the form y=ax^2 + bx + c, with the quadratic, linear, and constant terms. A quadratic equation will have 0, 1, or 2 real solutions depending on the graph. The solutions are the x-intercepts where the graph crosses the x-axis. Examples show how to identify the solutions by graphing and finding the x-intercepts. The graph of a quadratic is a parabola with roots/zeros at the x-intercepts and a vertex as its maximum or minimum point. One method for graphing uses a table to plot points and sketch the parabola.
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A project of 4th grade students - A lollipop wrapper
Four grade students in Israel have developed a new type of lollipop called "Easyli" that is larger than normal lollipops and uses Velcro to wrap and unwrap instead of sticky wrappers. The lollipop is easier to unwrap, can be used for a longer time since it is reusable, and is targeted towards children who struggle with normal lollipops and parents who don't want to make multiple candy purchases. The students plan to market their Easyli lollipops at corner shops and supermarkets.
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The document provides formulas for calculating the area and perimeter of squares, rectangles, triangles, and circles. It gives the area formula for a square as side x side or side squared. The perimeter formula for a square is 4 x side or side + side + side + side. The area of a rectangle is length x width and the perimeter is 2 x length + 2 x width. The area of a triangle is 1/2 x base x height. The circumference of a circle is 2πr and the area is πr^2. Worked examples applying each formula are provided.
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The document defines and provides examples of calculating area and perimeter. It explains that area is measured in square units and refers to the surface space of a flat object, while perimeter is the distance around the outside edge and is measured in linear units. Examples are given of counting squares to find the area of different shapes and counting sides to determine the perimeter. Two neighbor's pools are used as examples, with Family A's pool having a larger area but Family B's pool having a greater perimeter and more side panels to clean.
perimeter, area volume
This powerpoint document discusses measuring shapes and space by explaining perimeter, area, and volume. It provides formulas and examples for calculating the perimeter and area of various shapes including rectangles, triangles, trapezoids, circles, and composite shapes made up of multiple basic shapes. Key formulas presented include the circumference of a circle being equal to 2πr or the diameter, and the area of a circle being equal to πr2. An example composite shape is used to demonstrate calculating total area by finding the individual areas of each component shape.
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Perimeter is the distance around the outside of a shape, while area is the number of square units that fit inside the shape. The perimeter of a rectangle is calculated as 2 * length + 2 * width, while the area is calculated as length * width. Perimeter represents how much material is needed to go around a shape, like fencing for a farm, while area represents how much surface is covered inside the shape, like soil inside the farm.
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This document discusses perimeter and area and how to calculate them for different shapes. It defines perimeter as the distance around a figure and area as the number of square units needed to cover the surface. It provides formulas for calculating the perimeter and area of squares and rectangles. Examples are given applying the formulas to specific shapes. Resources for learning more about perimeter, area, and a shape explorer applet are also included.
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1. Look for clue words and decide perimeter or area
2. Draw a picture
3. Decide what formula to use
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This document provides instructions for finding the perimeter of a triangle using the distance formula. It defines perimeter as the distance around a shape and explains it is calculated by adding the lengths of the sides. As an example, it gives the coordinates of points A, B, and C of triangle ABC and shows how to use the distance formula to calculate the lengths of sides AB and BC. It then prompts the reader to find the length of side AC and provides the steps to add the side lengths and calculate the perimeter of triangle ABC as 18.8.
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Diagonals of quadrilaterals
This document compares different types of quadrilaterals and whether their diagonals bisect each other or are perpendicular. It shows that rhombuses and squares have diagonals that bisect and are perpendicular, while parallelograms and rectangles only have bisecting diagonals, and kites have perpendicular diagonals but no bisecting ones. Trapezoids have neither bisecting nor perpendicular diagonals.
Factoring notes
The document provides examples of factoring trinomials using algebra tiles and the factoring method. It begins by showing how to multiply binomials using FOIL and algebra tiles. It then demonstrates factoring trinomials like x^2 + 7x + 12 by arranging algebra tiles into a rectangle to reveal the factors (x + 4)(x + 3). Another method is shown that involves finding pairs of numbers whose product is the constant term and that add up to the coefficient of x. Examples are worked through to factor trinomials with and without leading coefficients.
Solving by factoring remediation notes
Here are the key steps to factoring when a ≠ 1:
1. Check for GCF. If there is a GCF, factor it out.
2. If no GCF, find two numbers whose product is ac and sum is b. These will be the coefficients of the factors.
3. Split the middle term into two terms using the factors.
4. Factor using the box method, finding the GCF of each row and column.
Some examples:
2x2 + 11x + 5
ac = 10, factors are 2, 5
(2x + 1)(x + 5)
3x2 - 5x - 2
ac = -
Solving by graphing remediation notes
This document discusses solving quadratic equations by graphing. It explains that there are three possible types of solutions: 2 real solutions when the graph crosses the x-axis twice, no real solution when the graph does not cross the x-axis, and 1 real solution when the graph crosses the x-axis once at the vertex. Examples are provided to illustrate each case. The document also provides an example problem for the reader to solve and links to review videos on solving quadratics by graphing.
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The document provides examples and explanations of using the zero product property to solve equations by factoring. It explains that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. It then works through examples of solving equations like (x - 1)(x - 3) = 0, x^2 - 2x - 8 = 0, and x^2 + 5x + 6 = 20 by factorizing and setting each factor equal to zero. It also applies this process to solve a word problem about the dimensions of a garden given an area of 40 square feet.
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The document discusses how the time it takes for water to boil, m, varies inversely with temperature, t. Specifically, it states that as temperature, t, increases, the time to boil, m, decreases. It provides the formula m = k/t, where k is a constant of variation. As one variable (temperature) increases, the other (time to boil) decreases.
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Perimeter and area slide show blue
The document defines perimeter and area. Area is the space inside a 2D shape and is calculated by multiplying the length by width. Perimeter is the distance around a 2D object and is calculated by adding all the side lengths. The document includes examples of calculating the area and perimeter of different shapes at different levels, providing the answer choices and feedback to the user.
Act math area - perimeter
The document provides formulas for calculating the area and perimeter of squares, rectangles, triangles, and circles. It gives the area formula for a square as side x side or side squared. The perimeter formula for a square is 4 x side or side + side + side + side. The area of a rectangle is length x width and the perimeter is 2 x length + 2 x width. The area of a triangle is 1/2 x base x height. The circumference of a circle is 2πr and the area is πr^2. Worked examples applying each formula are provided.
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This document discusses geometry concepts related to two-dimensional shapes including perimeter and area. It defines perimeter as the distance around the edge of a shape and area as the space inside a shape. For squares, the perimeter is calculated as 4 times the side length and the area as side length squared. For rectangles, the perimeter is the sum of all sides and the area is width multiplied by height. Examples are provided for calculating perimeters and areas of squares and rectangles.
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The document defines and provides examples of calculating area and perimeter. It explains that area is measured in square units and refers to the surface space of a flat object, while perimeter is the distance around the outside edge and is measured in linear units. Examples are given of counting squares to find the area of different shapes and counting sides to determine the perimeter. Two neighbor's pools are used as examples, with Family A's pool having a larger area but Family B's pool having a greater perimeter and more side panels to clean.
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This powerpoint document discusses measuring shapes and space by explaining perimeter, area, and volume. It provides formulas and examples for calculating the perimeter and area of various shapes including rectangles, triangles, trapezoids, circles, and composite shapes made up of multiple basic shapes. Key formulas presented include the circumference of a circle being equal to 2πr or the diameter, and the area of a circle being equal to πr2. An example composite shape is used to demonstrate calculating total area by finding the individual areas of each component shape.
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This document discusses calculating the areas and perimeters of various shapes. It provides examples of finding the perimeter by counting sides and finding the area by counting squares for both regular and irregular shapes. It also introduces calculating the area of rectangles using the formula of length x width and calculating the total area of composite shapes by finding the individual areas and summing them.
Perimeter and area
Perimeter is the distance around the outside of a shape, while area is the number of square units that fit inside the shape. The perimeter of a rectangle is calculated as 2 * length + 2 * width, while the area is calculated as length * width. Perimeter represents how much material is needed to go around a shape, like fencing for a farm, while area represents how much surface is covered inside the shape, like soil inside the farm.
Area and Perimeter Frozen Ppt
This document discusses perimeter and area and how to calculate them for different shapes. It defines perimeter as the distance around a figure and area as the number of square units needed to cover the surface. It provides formulas for calculating the perimeter and area of squares and rectangles. Examples are given applying the formulas to specific shapes. Resources for learning more about perimeter, area, and a shape explorer applet are also included.
Perimeter and Area Word Problems
Here are the 4 steps:
1. Look for clue words and decide perimeter or area
2. Draw a picture
3. Decide what formula to use
4. Solve
These 4 steps help us solve perimeter and area word problems.
Physical & chemical change
This document discusses the difference between physical and chemical changes in matter. A physical change alters the form or properties of a substance without changing its chemical composition, such as cutting, crushing, dissolving, or changes in state. A chemical change results in one or more new substances being formed through chemical reactions, evidenced by signs like color change, bubbling, gas production or temperature change. Examples of physical changes given are melting ice, sawing wood, and evaporating a puddle. Chemical change examples include burning fuels, baking a cake, and dissolving sugar in tea.
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The document discusses physical and chemical changes. Physical changes alter the state of a substance but do not create a new substance, such as melting, freezing, or breaking something into smaller pieces. Chemical changes form an entirely new substance, evidenced by a change in color, gas release, or new solid forming. Examples of physical changes include shattering a plate or melting wax, while examples of chemical changes include burning wood or rusting metal.
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This document provides instructions and formulas for calculating the perimeter and area of rectangles and squares. It includes the objectives of finding perimeter and area using formulas, provides the relevant formulas, and includes example perimeter and area word problems to solve. Key information covered includes the definitions of perimeter and area, the perimeter and area formulas for rectangles and squares, and example activities applying the formulas.
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Diagonals of quadrilaterals
This document compares different types of quadrilaterals and whether their diagonals bisect each other or are perpendicular. It shows that rhombuses and squares have diagonals that bisect and are perpendicular, while parallelograms and rectangles only have bisecting diagonals, and kites have perpendicular diagonals but no bisecting ones. Trapezoids have neither bisecting nor perpendicular diagonals.
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The document provides examples of factoring trinomials using algebra tiles and the factoring method. It begins by showing how to multiply binomials using FOIL and algebra tiles. It then demonstrates factoring trinomials like x^2 + 7x + 12 by arranging algebra tiles into a rectangle to reveal the factors (x + 4)(x + 3). Another method is shown that involves finding pairs of numbers whose product is the constant term and that add up to the coefficient of x. Examples are worked through to factor trinomials with and without leading coefficients.
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Here are the key steps to factoring when a ≠ 1:
1. Check for GCF. If there is a GCF, factor it out.
2. If no GCF, find two numbers whose product is ac and sum is b. These will be the coefficients of the factors.
3. Split the middle term into two terms using the factors.
4. Factor using the box method, finding the GCF of each row and column.
Some examples:
2x2 + 11x + 5
ac = 10, factors are 2, 5
(2x + 1)(x + 5)
3x2 - 5x - 2
ac = -
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This document discusses solving quadratic equations by graphing. It explains that there are three possible types of solutions: 2 real solutions when the graph crosses the x-axis twice, no real solution when the graph does not cross the x-axis, and 1 real solution when the graph crosses the x-axis once at the vertex. Examples are provided to illustrate each case. The document also provides an example problem for the reader to solve and links to review videos on solving quadratics by graphing.
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Inverse variation
The document discusses how the time it takes for water to boil, m, varies inversely with temperature, t. Specifically, it states that as temperature, t, increases, the time to boil, m, decreases. It provides the formula m = k/t, where k is a constant of variation. As one variable (temperature) increases, the other (time to boil) decreases.
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Rate of change describes how quantities change over time or space and can be used to determine trends in data, describe the pitch of a roof to prevent snow buildup, and represent the steepness of roads through their grade. A 10% grade means that for every 100 units of distance traveled, there is a rise of 10 units. Rate of change has many real-world applications.
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students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
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