Area triangles
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1. The area of a triangle can be calculated by dividing the triangle into two right triangles, finding the area of one of the right triangles, and doubling it. 2. You can also calculate the area of any triangle by using the formula: Area = 1/2 x base x height, where the base is any side of the triangle and the height is the perpendicular distance from the base to the opposite vertex. 3. To calculate the area, you have the flexibility to choose any side of the triangle as the base, and must then use the height that corresponds to that base in the area formula.
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9463138669|RMS Exam Coaching Center in Jalandhar|ANAND CLASSES
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The document provides information about calculating the areas of different shapes using squares or square units. It includes examples of finding the areas of rectangles, triangles, letters of the alphabet, and irregular shapes by counting whole and half squares. Various area formulas are presented, such as Area = length x breadth. Word problems demonstrate calculating areas of real-world objects like fields, stadiums, and ponds.
2 Dimensional Shapes
The document provides instructions on drawing triangles and identifying different types of quadrilaterals. It explains how to construct an accurate triangle using a ruler and compass by drawing three arcs from the endpoints of a base line. It then lists seven types of quadrilaterals and provides the formulas for calculating the area of triangles, parallelograms, and trapezoids.
4 Geometry Area and Perimeter
This document provides instruction on calculating the perimeter and area of basic shapes like triangles, rectangles, squares and circles. It defines key terms, provides formulas and examples for finding perimeter and area. Step-by-step worked examples are included to demonstrate calculating perimeter and area of different shapes.
Shape and space: areas
This document provides information on calculating the area and perimeter of basic shapes. It defines key terms like area, perimeter, dimensions, and circumference. Formulas are provided for calculating the perimeter of rectangles, triangles, circles, parallelograms, trapezoids, and the area of triangles, rectangles, parallelograms, trapezoids, and circles. Examples are given for calculating perimeter and area of various shapes. Practice problems are included for applying the formulas.
Dalawang uri ng sulatin and Volumn of Rectangular Prism
This power point presentation is combination of two subjects (Filipino and math). This presentation were used during my practice teaching. Hope it can help you.
Kungfu math p3 slide13 (area)pdf
The document discusses concepts of area and perimeter. It defines area as the size of a surface and perimeter as the distance around a shape. It provides formulas for calculating the area of simple shapes like rectangles. The area of a rectangle is calculated by multiplying its length by its breadth. The document includes an example of calculating the area of a rectangle that is 5cm in length and 3cm in breadth, which equals 15cm2. It emphasizes that length and breadth units must be the same for the area calculation to be correct.
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
surface area of a cuboid and a cube,surface area of a right circular cylinder,surface area of right circular cone,surface area of a sphere,volume of cuboid,volume of cylinder,volume of right circular cone and volume of sphere.powerpoint presentation
Surfaceareaofacuboidandacubesarfaceareaofarightcircularcylindersurfaceareaofr...
Okay, here are the steps:
Given: r = 7 in, l = 11.4 in
S = πr^2 + πrl
S = π(7)^2 + π(7)(11.4)
S = 49π + 79.8π
S = 128.8π
Circles diameter
1. The document discusses circles and the relationships between their circumference, diameter, and radius. It provides examples of measuring circular objects and calculating circumference from diameter and vice versa.
2. The key relationship discussed is that the ratio of a circle's circumference to its diameter is a constant called pi (π), approximately 3.14.
3. Examples are given of calculating circumference from diameter and radius using the formulas C = πd and C = 2πr.
Area of rectangles_jb
This document provides instructions for calculating the area of rectangles and polygons made up of rectangles. It defines area as the space a shape takes up, measured in square units. The key formula provided is that the area of a rectangle equals its length multiplied by its breadth. Several examples are given of using this formula to find the areas of individual rectangles and composite shapes by splitting them into rectangles and adding the individual areas. The document encourages practicing calculating areas of various rectangle shapes.
Measuring area2021.pptx
Area is measured in square units and refers to the amount of surface space a flat object has. There are formulas to calculate the area of basic plane figures like squares, rectangles, triangles, circles, and composite figures that are made up of multiple shapes. To find the area of a composite figure, you break it into its component shapes, calculate the individual areas, and add them together. The document provides examples of using formulas to find the areas of various plane figures and composite shapes.
2 Dimensional Shapes 2
The document discusses calculating the circumference and area of circles using pi and radius or diameter. It provides examples of calculating circumference given the diameter or radius. It also discusses calculating the area of a circle using the radius and the formula area = π x radius2. Finally, it asks the reader to find the area of a circle with a 12cm diameter and 4cm radius without looking back at prior examples.
2 Dimensional Shapes 2
The document discusses calculating the circumference and area of circles using pi and radius or diameter. It provides examples of calculating circumference given the diameter or radius. It also discusses calculating the area of a circle using the radius and the formula area = π x radius2. Finally, it asks the reader to find the area of a circle with a 12cm diameter and 4cm radius without looking back at prior examples.
Dynamic slide version 1.0
This document introduces perimeter and area concepts through examples of squares and rectangles. It provides interactive software to help pupils understand these concepts. The software aims to enhance learning through interactivity, expose pupils to ICT, and provide variety in teaching. Key concepts are defined, such as perimeter being the distance around a shape and area being the space occupied. Formulas are given to calculate perimeter and area of squares and rectangles by multiplying side lengths. Examples are shown to apply the formulas and confirm calculations match the number of square units within shapes.
Similar to Area triangles (20)
9463138669|RMS Exam Coaching Center in Jalandhar|ANAND CLASSES
9463138669|RMS Exam Coaching Center in Jalandhar|ANAND CLASSES
Dalawang uri ng sulatin and Volumn of Rectangular Prism
Dalawang uri ng sulatin and Volumn of Rectangular Prism
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
Surfaceareaofacuboidandacubesarfaceareaofarightcircularcylindersurfaceareaofr...
Surfaceareaofacuboidandacubesarfaceareaofarightcircularcylindersurfaceareaofr...
More from Terry Golden
Scatter graphs
The document discusses scatter diagrams and their use in showing the relationship between two variables. Scatter diagrams involve plotting paired data points for each variable on a graph, allowing one to see if there is a correlation between the variables. Examples are provided of scatter diagrams plotting ice cream sales against hours of sunshine and city temperature against latitude. Scatter diagrams can reveal trends and relationships in data.
Reflections rotations translations
1. The document discusses different types of geometric transformations including reflections, rotations, and translations.
2. A reflection produces a mirror image of an object across a line or plane. Corresponding points on the object and its reflection are equidistant from the line/plane of reflection.
3. A rotation turns an object around a fixed point by a specified angle and direction. To perform a rotation, one traces the object onto tracing paper and rotates the paper around the given point by the required angle and direction.
Ratio
The document discusses ratios and provides examples of how to use ratios to solve problems. Ratios compare the relative amounts or proportions of different parts of a quantity. Examples show how to set up and solve ratio problems involving splitting costs or quantities between groups using the ratio and multiplying components by the same factor to keep the ratios equivalent.
Ratio share a quantity
The document discusses ratios and provides examples of how to use ratios to calculate quantities. It explains that a ratio shows a relationship between quantities and can be used to scale up or down amounts. Examples include baking a cake according to ingredient ratios and calculating the number of ducks in a pond given the ratio of geese to ducks. It also demonstrates how to scale recipe amounts for different numbers of people using ratios.
Probability not happening
1. The document discusses probability and provides examples of calculating the probability of events occurring and not occurring. It defines probability as being expressed on a scale of 0 to 1 or 0% to 100% and explains that the probability of an event not happening is 1 minus the probability of the event happening.
2. Examples are given of calculating probabilities using a die, deck of cards, weather forecast, and Mikel's transportation to school. The document concludes with an explanation of how to calculate the probability of an event not occurring by subtracting its probability from 1.
3. In summary, the document outlines basic probability concepts and provides examples of calculating probabilities of outcomes both occurring and not occurring using fractions, decimals, and
Probability exclusive
The document discusses mutually exclusive outcomes and probability. It provides examples of tossing a coin, where the outcomes of heads and tails are mutually exclusive and must add up to 1. It also gives an example of drawing balls from a bag containing red, blue and green balls, where the probabilities of drawing red and blue balls add up to 12/14, making the probability of drawing a green ball 2/14 or 1/7.
Powers
This document provides an explanation of powers and indices. It discusses how indices can be used to represent repeated multiplication, such as 22 representing 2 x 2 and 23 representing 2 x 2 x 2. It also explains that indices can be used in combination with each other and other mathematical functions. The document provides examples of calculating values of formulas when given specific values for variables. It notes that indices only apply to the previous number and brackets can be used to keep workings clear. Values substituted can be positive, negative, decimals or fractions.
Percentages
This document explains how to convert fractions to percentages in 3 main steps:
1) Convert the fraction to a decimal by dividing the numerator by the denominator. Then multiply the decimal by 100 to get the percentage.
2) Think of 100 as the denominator of an equivalent fraction. Find the equivalent fraction by setting 100 as the denominator.
3) Directly convert the fraction to a percentage by multiplying the fraction by 100 and simplifying. This skips converting to a decimal first.
Worked examples are provided to demonstrate both converting through decimals and directly to percentages.
Percentages one of another
This document discusses how to express one quantity as a percentage of another. It provides examples of calculating percentages, including percentage increases and decreases. It explains that a percentage of a number can be found by converting the percentage to a fraction or decimal and multiplying. The document also introduces methods to shorten the process of adding or subtracting percentages using multipliers.
Negative numbers multiplying and dividing
The document discusses multiplying and dividing decimals. It explains that when multiplying decimals, you ignore the decimal points, multiply the numbers, and count the total number of decimal places in the original numbers to determine where to place the decimal point in the answer. When dividing decimals, you write the division as a fraction and multiply the numerator and denominator by powers of ten to clear the decimals, then divide as usual. Examples of multiplying and dividing decimals are provided.
Negative numbers adding and subtracting
1. The document discusses adding and subtracting negative numbers using examples with biscuits. It explains that subtracting a negative number is the same as adding a positive number, and vice versa.
2. Quick rules are provided for subtracting or adding to negative numbers. When subtracting from a negative number, add the numbers and place a minus sign in front of the answer. When adding to a negative number, subtract the numbers and use the same sign as the larger number.
3. A method is described for calculating a string of additions and subtractions by separating the numbers into "add" and "subtract" totals and finding the difference between the totals.
Grouping data stem and leaf diagrams
This document explains how to represent math test score data for 30 students using a stem and leaf diagram. [1] The test scores ranged from 40 to 81 and are grouped into the 40s, 50s, 60s, 70s, and 80s. [2] The stem represents the tens place value and the leaves are the units that follow each ten. [3] The modal score is in the 60-69 group and the median score is 63.
Grouping data discrete
This document discusses grouping discrete data and calculating statistics like the mode, mean, and frequency. It provides an example of grouping the number of goals scored in soccer matches to find the mode of 3 goals. Another example calculates the mean shoe size from a survey by tallying shoe sizes into a frequency table and dividing the total by the number of participants.
Grouping data continuous
This document discusses representing and summarizing continuous data. Continuous data does not fit into categories but changes gradually, like height, weight, or temperature. When measuring continuous data, measurements are rounded and grouped at the level of accuracy used. Continuous data can be grouped into intervals and displayed using histograms or frequency polygons. The mean of grouped continuous data can be estimated using the midpoint of each interval multiplied by its frequency and dividing the total by the total frequencies.
Graphs 3
This graph shows Joe's trip to the local shop over time. It shows that Joe walked at a steady pace as the distance from his home to the shop increased linearly over 15 minutes. Then the distance remained the same as he spent more time at the shop before returning home. The graph uses distance from home on the y-axis and time on the x-axis to tell the story of Joe's shopping trip.
Graphs 2
This document discusses linear equations in the form of Ax + By = C and provides an example of solving for x and y when the other variable is 0. It shows setting 4x + 3y = 12 equal to 12 when x is 0, solving for y = 4, and when y is 0, solving for x = 3. These points (0,4) and (3,0) are plotted and joined with a straight line, and a point on the line is checked.
Graphs 1
The document discusses linear graphs and their properties. It explains that a linear graph can be represented by an equation in the form of y = mx + c, where m is the slope and c is the y-intercept. The document provides examples of drawing linear graphs from equations and calculating points to plot based on given x-values. Key aspects covered include the four quadrants of the Cartesian plane, common linear equations like y=3 and x=1, and plotting example graphs for equations like y=-2x+2.
Fractions multiplicatin
To multiply fractions:
1) Multiply the numerators together to get the new numerator
2) Multiply the denominators together to get the new denominator
3) Simplify the resulting fraction if possible by cancelling common factors in the numerator and denominator.
Fractions division
The document discusses dividing fractions. It explains that dividing by a fraction is the same as multiplying by its reciprocal. Specifically, it states that to divide fractions, you turn the second fraction upside down and change the division sign to a multiplication sign. This works for dividing any fractions. Two examples are provided to demonstrate dividing fractions using this method.
Factorising
This document discusses factorizing expressions. It provides examples of factorizing terms with variables like 8a - 4a = 4(2a - 1) and expressions with squared terms like 15x + 9^2 = 3(5x + 3^2). It concludes with practice problems factorizing additional expressions like 10x + 5 = 5(2x + 1) and their factorized forms.
More from Terry Golden (20)
Area triangles
- 1. October 4, 2012 Areas 1. The area of a triangle. Next
- 2. Explanation October 4, 2012 The area of rectangle ABCD is 7 cm × 4 cm = 28 cm² A D 4 cm B C 7 cm You can make two equal triangles by drawing a diagonal from A to C. The total area of these two triangles will be the same as the area of the original rectangle. The area of one triangle will be… 1 × 7 cm × 4 cm = 14 cm² 2 More Next
- 3. Examples October 4, 2012 This works for all right angle triangles. 4 cm 5 cm 5 cm 1 × 5 cm × 4 cm = 10 cm² 2 3 cm 1 × 5 cm × 3 cm = 7.5 cm² 2 2.5 cm 4.5 cm 1 × 2.5 cm × 4.5 cm = 5.625 cm² 2 More Next
- 4. Explanation October 4, 2012 Triangle NOP is not a right angle triangle. You can create two right angle triangles by dividing it in two. Both new triangles have the height of the perpendicular used to divide the original triangle. N 5 cm 5 cm 5 cm P O 5 cm 8 cm 3 cm The areas of each triangle can be calculated. More Next
- 5. Explanation October 4, 2012 Triangle NOP is not a right angle triangle. You can create two right angle triangles by dividing it in two. Both new triangles have the height of the perpendicular used to divide the original triangle. N 5 cm 5 cm P O 5 cm 3 cm The areas of each triangle can be calculated. More
- 6. Explanation October 4, 2012 N 15 cm × 5h cm 2 P O 5 cm 8 cm 3 cm b In fact, youof of calculating can be of is triangle if you The areas can work out the area calculated. Another way each triangle this area any 1 × 8 the perpendicular height, using the formula… know 5 cm × 5 cm = 20 cm² 12.5 cm² 2 area of the triangle = 1 × base × perpendicular height 1 × 3 cm × 5 cm = 7.5 2 cm² or 2 12.5 cm² + 17.5 cm² = 20 cm² A = × b × h So 2 The area of triangle NOP = 20 cm² More
- 7. Explanation October 4, 2012 1 × b b 2 hh h b You can use any side of the triangle as the base, from which to work out the perpendicular height. When you calculate the area, make sure that you use the height that corresponds to the base that you choose. More End