Ratio in maths
•Download as PPT, PDF•
1 like•4,645 views
The document explains how to divide a quantity into a given ratio. It defines what a ratio is as a way to compare the relative sizes of two or more quantities. It then demonstrates how to divide a total quantity by the total parts in the ratio to get the amounts for each part, using the example of dividing 560kg into a 3:4 ratio to get amounts of 240kg and 320kg. Finally, it provides examples of dividing various quantities into different ratios.
Report
Share
Report
Share
Recommended
Temperature | Convertion of Celsius to Fahrenheit and vice versa
ACCEPTING COMMISSIONED POWERPOINT SLIDES
ACCEPTING COMMISSIONED POWERPOINT SLIDES
ACCEPTING COMMISSIONED POWERPOINT SLIDES
EMAIL queenyedda@gmail.com
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
- - - - - - - - - - - - -
How to convert temperatures in Celsius, Fahrenheit, and Kelvin.
CONVERSION OF UNITS OF MEASUREMENTS.pptx
CONVERSION OF UNITS OF MEASUREMENTS
Conversion of unit of Measurements for Length
1) Identify the unit you are starting with.
2) Identify the unit you want to end with.
3) Find the conversion factor/s that will convert the starting unit to ending unit. Using the fractional form the unit you want to end will be the numerator the unit to be cancelled will be the denominator.
4) Set up the Mathematical expression so that all units except the unit you want to end with, will not be cancelled.
Convert 36 inches to feet.
Solution:
Step 1: inches
Step 2 : feet
Step 3 : (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠)
Step 4: 36 inches x (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠) = 3 feet
Step 5: Therefore, 36 in = 3 feet
Least Common Multiple
The document discusses the least common multiple (LCM) and how it can be used to find common denominators when adding or comparing fractions. It explains that the LCM is the smallest number that is a multiple of both numbers being considered. If the numbers are prime, their LCM is found by multiplying them together. Examples are provided to illustrate calculating the LCM of various number pairs and groups.
Simplest Form
The document defines key terms used in simplifying fractions such as factors, common factors, greatest common factor, and simplest form. It provides examples of finding the factors of different numbers, identifying common factors, and determining the greatest common factor. The document also explains that to simplify a fraction, one divides the numerator and denominator by the greatest common factor to get the fraction in simplest form, as shown through worked examples simplifying various fractions.
Converting units of time
This document provides conversions between units of time including minutes, hours, days, weeks, years, decades, centuries and millennia. Specifically, it notes that 1 minute equals 60 seconds, 1 hour equals 60 minutes, 1 day equals 24 hours, 1 week equals 7 days, and 1 year equals 365 days or 52 weeks.
Common Multiples and Least Common Multiple
The document explains how to find the least common multiple (LCM) of two numbers. It defines key terms like product, multiple, and common multiple. It then provides examples of finding the LCM of 3 and 6, 9 and 12, and 4 and 6. For each example, it lists the multiples of each number, circles the common multiples, and identifies the smallest common multiple as the LCM. The overall process is to list multiples, identify common multiples, and select the smallest value from the common multiples as the LCM.
Converting unit measures
The document discusses various units of measurement in the metric system including units for length (meters, centimeters, millimeters), mass (kilograms, grams), capacity (liters, milliliters), area (square meters, hectares), and volume (cubic meters, liters). It provides examples for converting between metric units using multiplication or division by powers of ten. The document also briefly discusses units of time and provides examples of calculating time to complete multiple tasks.
Ratio ppt
The document defines and provides examples of ratios. Key points:
- A ratio compares two quantities and expresses their relationship. Order matters in a ratio (e.g. 2 to 3 is not the same as 3 to 2).
- Ratios can be written in three equivalent forms: a:b, a to b, or as a fraction a/b.
- Equivalent ratios can be formed by simplifying ratios (reducing to lowest terms) or multiplying the original ratio by a number.
- Examples show calculating and writing ratios for various scenarios involving groups of objects.
Recommended
Temperature | Convertion of Celsius to Fahrenheit and vice versa
ACCEPTING COMMISSIONED POWERPOINT SLIDES
ACCEPTING COMMISSIONED POWERPOINT SLIDES
ACCEPTING COMMISSIONED POWERPOINT SLIDES
EMAIL queenyedda@gmail.com
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
- - - - - - - - - - - - -
How to convert temperatures in Celsius, Fahrenheit, and Kelvin.
CONVERSION OF UNITS OF MEASUREMENTS.pptx
CONVERSION OF UNITS OF MEASUREMENTS
Conversion of unit of Measurements for Length
1) Identify the unit you are starting with.
2) Identify the unit you want to end with.
3) Find the conversion factor/s that will convert the starting unit to ending unit. Using the fractional form the unit you want to end will be the numerator the unit to be cancelled will be the denominator.
4) Set up the Mathematical expression so that all units except the unit you want to end with, will not be cancelled.
Convert 36 inches to feet.
Solution:
Step 1: inches
Step 2 : feet
Step 3 : (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠)
Step 4: 36 inches x (1 𝑓𝑜𝑜𝑡)/(12 𝑖𝑛𝑐ℎ𝑒𝑠) = 3 feet
Step 5: Therefore, 36 in = 3 feet
Least Common Multiple
The document discusses the least common multiple (LCM) and how it can be used to find common denominators when adding or comparing fractions. It explains that the LCM is the smallest number that is a multiple of both numbers being considered. If the numbers are prime, their LCM is found by multiplying them together. Examples are provided to illustrate calculating the LCM of various number pairs and groups.
Simplest Form
The document defines key terms used in simplifying fractions such as factors, common factors, greatest common factor, and simplest form. It provides examples of finding the factors of different numbers, identifying common factors, and determining the greatest common factor. The document also explains that to simplify a fraction, one divides the numerator and denominator by the greatest common factor to get the fraction in simplest form, as shown through worked examples simplifying various fractions.
Converting units of time
This document provides conversions between units of time including minutes, hours, days, weeks, years, decades, centuries and millennia. Specifically, it notes that 1 minute equals 60 seconds, 1 hour equals 60 minutes, 1 day equals 24 hours, 1 week equals 7 days, and 1 year equals 365 days or 52 weeks.
Common Multiples and Least Common Multiple
The document explains how to find the least common multiple (LCM) of two numbers. It defines key terms like product, multiple, and common multiple. It then provides examples of finding the LCM of 3 and 6, 9 and 12, and 4 and 6. For each example, it lists the multiples of each number, circles the common multiples, and identifies the smallest common multiple as the LCM. The overall process is to list multiples, identify common multiples, and select the smallest value from the common multiples as the LCM.
Converting unit measures
The document discusses various units of measurement in the metric system including units for length (meters, centimeters, millimeters), mass (kilograms, grams), capacity (liters, milliliters), area (square meters, hectares), and volume (cubic meters, liters). It provides examples for converting between metric units using multiplication or division by powers of ten. The document also briefly discusses units of time and provides examples of calculating time to complete multiple tasks.
Ratio ppt
The document defines and provides examples of ratios. Key points:
- A ratio compares two quantities and expresses their relationship. Order matters in a ratio (e.g. 2 to 3 is not the same as 3 to 2).
- Ratios can be written in three equivalent forms: a:b, a to b, or as a fraction a/b.
- Equivalent ratios can be formed by simplifying ratios (reducing to lowest terms) or multiplying the original ratio by a number.
- Examples show calculating and writing ratios for various scenarios involving groups of objects.
Prime Factorization
Prime factorization can be found using a factor tree method. The steps are to start with a composite number, write it as a multiplication problem of factors, and continue breaking numbers down until only prime numbers remain. The prime factorization is the product of the prime factors, and different factor trees for the same number will result in the same prime factorization that can be checked by multiplying the factors.
Dividing Fractions
This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.
Dividing decimals by decimals
This document contains notes and instructions for dividing decimals. It includes:
1. A review of vocabulary terms like quotient, dividend and divisor.
2. Steps for dividing decimals that include placing the decimal point in the quotient directly above the decimal point in the dividend and dividing as with whole numbers.
3. Examples of dividing decimals with answers and worked out steps shown.
3. multiples, factors and primes
This document contains slides about multiples, factors, prime numbers, prime factor decomposition, highest common factor (HCF), and lowest common multiple (LCM). The slides define key terms, provide examples of finding factors and prime factors, discuss methods for determining if a number is prime, and explain how to use prime factor decomposition to calculate the HCF and LCM of two numbers. The final slide encourages supporting female education by clicking on advertisements.
CONVERSION OF TEMPERATURE
This document discusses temperature scales and converting between Celsius, Fahrenheit, and Kelvin scales. It provides information on key reference points for freezing and boiling water in each scale and the formulas for converting between them. Examples are given for using the formulas to solve temperature conversion problems.
Measure of length ppt
The document discusses measures of length including different units like meters, centimeters, kilometers. It explains that meters are the standard metric unit and provides conversion facts between units like 1 km = 1000 m. Learners are instructed to practice converting between units of length like meters to centimeters using multiplication or division based on the conversion facts.
Chapter 3.powerpoint
This document discusses mass relationships in chemical reactions, including:
1) Atomic mass, molecular mass, molar mass, and formula mass. It defines the mole and Avogadro's number.
2) Chemical equations and how they are used to represent chemical reactions by balancing the atoms on each side.
3) Calculations involving the amounts of reactants and products in chemical reactions, including limiting reagents.
Equivalent fractions
The document discusses equivalent fractions. It explains that equivalent fractions are fractions that are equal to each other, such as 1/2 and 2/4. Fractions are equivalent if the same operation, such as dividing or multiplying, is performed on both the numerator and denominator. Examples show determining if fractions are equivalent by checking if the same operations, like dividing both numbers by 2 or 3, results in equal fractions. The key idea is that any operation on the top number must also be done on the bottom number to check for equivalence.
Lesson 2.9 measuring temperature
1. The document discusses different temperature scales and how to convert between Celsius and Fahrenheit units. It introduces the Celsius scale developed by Anders Celsius in 1742 and the Fahrenheit scale developed earlier by Gabriel Fahrenheit.
2. Formulas are provided to convert between Celsius and Fahrenheit: Celsius = 5/9 (Fahrenheit - 32) and Fahrenheit = 9/5 Celsius + 32.
3. Examples are given applying the formulas to convert specific temperatures like 80°C to F° and 98.6°F to C°.
Chapter 1 : SIGNIFICANT FIGURES AND STANDARD FORM
Define the significant figures
Determine the significant figures
Identify the rounding off the significant figures
Calculate the whole number and determine the significant figures.
Identify and evaluate the Standard Form
Perform the conversion of length and volume of liquid .
Long division 2 digit no remainder
Long division is explained using a family as an analogy to represent the steps. Dad represents dividing, Mom represents multiplying, Sister represents subtracting, Brother represents bringing down remaining digits, Rover represents repeating the process or noting the remainder, and Coco represents checking the answer. The document then walks through a long division problem step-by-step using this family analogy to demonstrate how to calculate 64 divided by 2.
Compatible numbers
This document discusses using compatible numbers to estimate quotients. It explains that compatible numbers are multiples of the divisor that are close to the first two digits of the dividend. Examples show finding compatible numbers for divisors like 7, 3, 6, 9, 8 and using them to estimate the quotient. Estimates generally fall between the results of dividing the compatible numbers. The technique helps provide a range to check the exact quotient.
Integers best ppt
This document defines integers and integer operations. It discusses:
- Integers are positive or negative whole numbers including 0.
- The four integer operations are addition, subtraction, multiplication, and division.
- Rules for adding, subtracting, multiplying and dividing integers determine whether the result is positive or negative based on the signs of the integers.
Area of triangle
This document discusses three methods for calculating the area of triangles: using the base and height, using two sides and the included angle, and using all three sides. It provides the formulas for each method and works through examples of calculating the area. Practice problems are included at the end to allow additional practice applying the different area calculation methods.
Distributive Property
Refresh on Distributive Property. Lecture given on Sept. 22nd, 2008. Adaptation of previously created power point.
Metric Conversion
1) The document describes the ladder method for converting between metric units. The ladder method involves determining the starting point, counting the number of jumps to the ending point, and moving the decimal the same number of jumps in the same direction.
2) Examples are provided of converting between meters, liters, grams, kilometers, milligrams, and other metric units using the ladder method. Conversions include 4 km to meters, 1000 mg to grams, 1 L to mL, and others.
3) Practice problems are given for converting between metric units and comparing values using <, =, > signs. Abbreviations for common metric units like kg, m, g, mL are also listed.
PRESENTATION RATIO
The document defines and provides examples of ratios. It discusses:
- Ratios compare two quantities and can be written in different forms such as a:b, a to b, or a/b.
- Order matters in ratios - a:b is not the same as b:a.
- Equivalent ratios can be formed by simplifying fractions or multiplying the original ratio.
- A compound ratio compares more than two quantities.
- Word problems demonstrate calculating quantities from a given ratio.
Measurement power-point-review-1h2al8a
This document reviews key concepts for measurement including length, elapsed time, weight, capacity, and temperature. It discusses both customary and metric units for each type of measurement. Key points include how to measure small vs large distances, appropriate temperature scales to use, conversions between units like cups and gallons, and strategies for calculating elapsed time.
Extensive and intensive properties
A simple presentation on Extensive and Intensive Properties with simple assessment. Highly useful for beginning level chemistry and material science students.
Decimal places
The document provides instructions for rounding numbers to a specified number of decimal places. It explains that to round to one decimal place, you identify the digit in the first decimal place and increase the digit if the following digit is 5 or greater. Examples are provided rounding numbers to one, two, and three decimal places to demonstrate the technique.
Ratio in maths
The document explains how to divide a quantity into a given ratio. It defines what a ratio is as a way to compare the relative sizes of two or more quantities. It then demonstrates how to divide a total quantity by the total parts in the ratio to get the amounts for each part, using the example of dividing 560kg into a 3:4 ratio to get amounts of 240kg and 320kg. Finally, it provides examples of dividing various quantities into different ratios.
More Related Content
What's hot
Prime Factorization
Prime factorization can be found using a factor tree method. The steps are to start with a composite number, write it as a multiplication problem of factors, and continue breaking numbers down until only prime numbers remain. The prime factorization is the product of the prime factors, and different factor trees for the same number will result in the same prime factorization that can be checked by multiplying the factors.
Dividing Fractions
This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.
Dividing decimals by decimals
This document contains notes and instructions for dividing decimals. It includes:
1. A review of vocabulary terms like quotient, dividend and divisor.
2. Steps for dividing decimals that include placing the decimal point in the quotient directly above the decimal point in the dividend and dividing as with whole numbers.
3. Examples of dividing decimals with answers and worked out steps shown.
3. multiples, factors and primes
This document contains slides about multiples, factors, prime numbers, prime factor decomposition, highest common factor (HCF), and lowest common multiple (LCM). The slides define key terms, provide examples of finding factors and prime factors, discuss methods for determining if a number is prime, and explain how to use prime factor decomposition to calculate the HCF and LCM of two numbers. The final slide encourages supporting female education by clicking on advertisements.
CONVERSION OF TEMPERATURE
This document discusses temperature scales and converting between Celsius, Fahrenheit, and Kelvin scales. It provides information on key reference points for freezing and boiling water in each scale and the formulas for converting between them. Examples are given for using the formulas to solve temperature conversion problems.
Measure of length ppt
The document discusses measures of length including different units like meters, centimeters, kilometers. It explains that meters are the standard metric unit and provides conversion facts between units like 1 km = 1000 m. Learners are instructed to practice converting between units of length like meters to centimeters using multiplication or division based on the conversion facts.
Chapter 3.powerpoint
This document discusses mass relationships in chemical reactions, including:
1) Atomic mass, molecular mass, molar mass, and formula mass. It defines the mole and Avogadro's number.
2) Chemical equations and how they are used to represent chemical reactions by balancing the atoms on each side.
3) Calculations involving the amounts of reactants and products in chemical reactions, including limiting reagents.
Equivalent fractions
The document discusses equivalent fractions. It explains that equivalent fractions are fractions that are equal to each other, such as 1/2 and 2/4. Fractions are equivalent if the same operation, such as dividing or multiplying, is performed on both the numerator and denominator. Examples show determining if fractions are equivalent by checking if the same operations, like dividing both numbers by 2 or 3, results in equal fractions. The key idea is that any operation on the top number must also be done on the bottom number to check for equivalence.
Lesson 2.9 measuring temperature
1. The document discusses different temperature scales and how to convert between Celsius and Fahrenheit units. It introduces the Celsius scale developed by Anders Celsius in 1742 and the Fahrenheit scale developed earlier by Gabriel Fahrenheit.
2. Formulas are provided to convert between Celsius and Fahrenheit: Celsius = 5/9 (Fahrenheit - 32) and Fahrenheit = 9/5 Celsius + 32.
3. Examples are given applying the formulas to convert specific temperatures like 80°C to F° and 98.6°F to C°.
Chapter 1 : SIGNIFICANT FIGURES AND STANDARD FORM
Define the significant figures
Determine the significant figures
Identify the rounding off the significant figures
Calculate the whole number and determine the significant figures.
Identify and evaluate the Standard Form
Perform the conversion of length and volume of liquid .
Long division 2 digit no remainder
Long division is explained using a family as an analogy to represent the steps. Dad represents dividing, Mom represents multiplying, Sister represents subtracting, Brother represents bringing down remaining digits, Rover represents repeating the process or noting the remainder, and Coco represents checking the answer. The document then walks through a long division problem step-by-step using this family analogy to demonstrate how to calculate 64 divided by 2.
Compatible numbers
This document discusses using compatible numbers to estimate quotients. It explains that compatible numbers are multiples of the divisor that are close to the first two digits of the dividend. Examples show finding compatible numbers for divisors like 7, 3, 6, 9, 8 and using them to estimate the quotient. Estimates generally fall between the results of dividing the compatible numbers. The technique helps provide a range to check the exact quotient.
Integers best ppt
This document defines integers and integer operations. It discusses:
- Integers are positive or negative whole numbers including 0.
- The four integer operations are addition, subtraction, multiplication, and division.
- Rules for adding, subtracting, multiplying and dividing integers determine whether the result is positive or negative based on the signs of the integers.
Area of triangle
This document discusses three methods for calculating the area of triangles: using the base and height, using two sides and the included angle, and using all three sides. It provides the formulas for each method and works through examples of calculating the area. Practice problems are included at the end to allow additional practice applying the different area calculation methods.
Distributive Property
Refresh on Distributive Property. Lecture given on Sept. 22nd, 2008. Adaptation of previously created power point.
Metric Conversion
1) The document describes the ladder method for converting between metric units. The ladder method involves determining the starting point, counting the number of jumps to the ending point, and moving the decimal the same number of jumps in the same direction.
2) Examples are provided of converting between meters, liters, grams, kilometers, milligrams, and other metric units using the ladder method. Conversions include 4 km to meters, 1000 mg to grams, 1 L to mL, and others.
3) Practice problems are given for converting between metric units and comparing values using <, =, > signs. Abbreviations for common metric units like kg, m, g, mL are also listed.
PRESENTATION RATIO
The document defines and provides examples of ratios. It discusses:
- Ratios compare two quantities and can be written in different forms such as a:b, a to b, or a/b.
- Order matters in ratios - a:b is not the same as b:a.
- Equivalent ratios can be formed by simplifying fractions or multiplying the original ratio.
- A compound ratio compares more than two quantities.
- Word problems demonstrate calculating quantities from a given ratio.
Measurement power-point-review-1h2al8a
This document reviews key concepts for measurement including length, elapsed time, weight, capacity, and temperature. It discusses both customary and metric units for each type of measurement. Key points include how to measure small vs large distances, appropriate temperature scales to use, conversions between units like cups and gallons, and strategies for calculating elapsed time.
Extensive and intensive properties
A simple presentation on Extensive and Intensive Properties with simple assessment. Highly useful for beginning level chemistry and material science students.
What's hot (20)
More from Patryk Mamica
Decimal places
The document provides instructions for rounding numbers to a specified number of decimal places. It explains that to round to one decimal place, you identify the digit in the first decimal place and increase the digit if the following digit is 5 or greater. Examples are provided rounding numbers to one, two, and three decimal places to demonstrate the technique.
Ratio in maths
The document explains how to divide a quantity into a given ratio. It defines what a ratio is as a way to compare the relative sizes of two or more quantities. It then demonstrates how to divide a total quantity by the total parts in the ratio to get the amounts for each part, using the example of dividing 560kg into a 3:4 ratio to get amounts of 240kg and 320kg. Finally, it provides examples of dividing various quantities into different ratios.
Ratio
The document explains how to divide a quantity into a given ratio. It defines what a ratio is as a way to compare the relative sizes of two or more quantities. It then demonstrates how to divide a total quantity by the total parts in the ratio to get the amounts for each part, using the example of dividing 560kg into a 3:4 ratio to get amounts of 240kg and 320kg. Finally, it provides examples of dividing various quantities into different ratios.
Prime factor decomposition
This document explains how to write numbers as the product of their prime factors. It provides examples of decomposing the numbers 36 and 28 into their prime factors. To find the prime factors of a number, you think of two numbers that multiply to the given number. If those numbers are prime, they are the prime factors. If not, you continue decomposing the non-prime numbers into more prime factors until only prime numbers remain. For example, 36 decomposes to 2 x 2 x 3 x 3 = 22 x 32 and 28 decomposes to 2 x 2 x 7 = 22 x 7.
Nth term
The document provides steps to find the nth rule for a linear sequence. It uses the sequence 5, 8, 11, 14, 17 to:
1) Make a table with the terms and their position (n).
2) Find the difference between consecutive terms is 3.
3) Write this difference multiplied by n in another column.
4) The difference between this value and the term is a constant 2.
5) Therefore, the nth rule for this sequence is Term = 3n + 2.
Multiply and divide numbers between 0 and 1
Multiplication and division with numbers between 0 and 1 were investigated. A chart was created showing the results of multiplying and dividing the number 5 by various fractions between 0 and 1. The chart illustrates that as the multiplying/dividing number decreases between 0 and 1, the answer to the multiplication decreases and the answer to the division increases, with the smallest multiplying/dividing number of 0.1 resulting in an answer of 0.5 for multiplication and 50 for division.
Linera sequence
This document provides an example of finding the rule for a linear sequence, where each term is found by adding a constant to the previous term. It shows working through an example sequence where the terms are 5, 8, 11, 14, 17 etc and each term is 3 greater than the previous term. It demonstrates setting up a table with the term position (n) and values, finding the difference between terms, and the rule that the nth term is given by the expression Term = 3n + 2.
Fractions
- Pupils will review fractions from previous lessons and learn how to add, subtract, multiply, and divide fractions.
- They will complete exercises practicing these fraction operations, including changing fractions to percentages or mixed numbers, finding lowest common multiples, and solving multi-step fraction word problems.
- The lesson aims to build pupils' skills and understanding of the key fraction operations through hands-on practice problems.
Expanding two brackets
The document discusses expanding and simplifying expressions within brackets. It provides examples of multiplying out terms within brackets for expressions like (2a + 3)(4a + 2) and (3b + 2)(4b - 6). The key steps are to multiply out each corresponding term, then collect like terms. Distributing negatives requires being careful about the signs of multiplied terms. The document encourages practicing expanding several example expressions within time limits to check understanding.
Expanding over a single term
This document provides examples for expanding brackets over single terms. It shows how to expand 2(x + 4) by distributing the 2 to both the x and 4 terms, resulting in 2x + 8. A second example expands 4(2a - 3) in the same way, distributing the 4 to both the 2a and -3 terms, giving the expression 8a - 12. The key step shown is using distribution to expand brackets over single terms inside the bracket.
Expand brackets 5
This document provides steps for expanding bracketed expressions by distributing terms within the brackets. It works through expanding the expression (x + 4)(x + 2) as an example, showing that it can be written as x2 + 6x + 8 by first distributing x and 4 across (x + 2), then combining like terms. The process is demonstrated over multiple lines to clearly show each step of distributing terms and combining like terms to arrive at the final expanded expression.
Expand brackets 4
This document provides instructions for expanding brackets in algebraic expressions by distributing terms within brackets across multiplication or division. It explains how to expand expressions with one or more terms in brackets, like 3(x + 2), by treating each bracket as a single term and distributing numerical coefficients and variables before each bracket across the terms within. Examples are provided and steps are explained carefully, emphasizing distributing negative terms correctly.
Directed numbers
The document introduces how to add and subtract directed numbers on a number line. It explains that if the directed numbers have the same sign, you add their values, and if they have different signs, you subtract. It provides examples of adding 6 + -3 and subtracting -4 - -9, illustrating starting at the first number on the number line and moving the corresponding number of places based on the operation and second number. The answer is found by labeling the final location.
Expand brackets 1
To expand expressions with brackets, you multiply the terms within the brackets by the number outside. For example, to expand 3(x + 2), you multiply x + 2 by 3, giving 3x + 6. Similarly, to expand 4(2x - 3), you multiply 2x - 3 by 4, giving 8x - 12. In both cases, this removes the brackets by distributing the number outside the brackets to each term inside.
Expand brackets 3
The document explains how to expand brackets in algebraic expressions by distributing any terms outside the brackets to the terms inside. It provides examples of expanding brackets in expressions like 3(x + 2), (x + 3)(x - 2), and x(x + 4) + 3(x + 2). The final expression x^2 + 7x + 6 is reached by first distributing x and 3 to the terms inside their respective brackets, then combining like terms.
Sequences
The document discusses sequences and their rules. A sequence is a list of numbers with a connecting rule. Examples are given such as adding 4 to get the next number. Linear sequences are defined as having a constant difference between terms. An example linear sequence is shown as adding 3 each time to get the next term. A method is provided to find the nth term rule, which involves making a table and finding the difference is a constant amount added each time.
Fractions
- Pupils will review fractions from previous lessons and learn how to add, subtract, multiply, and divide fractions.
- They will complete exercises practicing these fraction operations, including changing fractions to percentages or mixed numbers, finding lowest common multiples, and solving multi-step fraction word problems.
- The lesson aims to build pupils' skills and understanding of the key fraction operations through hands-on practice problems.
Decimal places
The document provides instructions for rounding numbers to a specified number of decimal places. It explains that to round to one decimal place, you identify the digit in the first decimal place and increase the digit if the following digit is 5 or greater. Examples are provided rounding numbers to one, two, and three decimal places to demonstrate the technique.
Ratio in maths
The document explains how to divide a quantity into a given ratio. It defines what a ratio is as a way to compare the relative sizes of two or more quantities. It then demonstrates how to divide a total quantity by the total parts in the ratio to get the amounts for each part, using the example of dividing 560kg into a 3:4 ratio to get amounts of 240kg and 320kg. Finally, it provides examples of dividing various quantities into different ratios.
More from Patryk Mamica (19)
Recently uploaded
Hindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Topic : Bed making
Subject : Nursing Foundation
Leveraging Generative AI to Drive Nonprofit Innovation
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Iván Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdMain Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
The History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneHow to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience Wahiba Chair Training & Consulting
Wahiba Chair's Talk at the 2024 Learning Ideas Conference. What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.
Recently uploaded (20)
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptx
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
B. Ed Syllabus for babasaheb ambedkar education university.pdf
B. Ed Syllabus for babasaheb ambedkar education university.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Ratio in maths
- 1. Objective Be able to divide a quantity into a given ratio
- 2. Ratio: What does this mean? A steel alloy rod is made up of 60% iron and 40% copper. So the ratio of iron to copper is 60:40. We could simplify this to give 3:2 Ratio is used to compare the sizes of two (or more) quantities. For example: a drink is made by mixing two parts orange juice with five parts water. This relationship of 2 to 5 can be written as the ratio 2:5.
- 3. Dividing a quantity in to a ratio Divide 560kg in the ratio 3:4 Total parts 1 part parts parts 3 + 4 = 7 560 ÷ 7 = 80 3 4 3 x 80 = 240kg 4 x 80 = 320kg Divide 560kg in the ratio 3:4 is 240kg:320kg
- 4. Time to try some! 1) £900 into the ratio 4:5 2) £200 into the ratio 3:5 3) £630 into the ratio 7:11 4) 2205kg into the ratio 8:13 5) 450 hours into the ratio 5:6:7 6) 550 lbs into the ratio 5:8:9 £400 : £500 £75 : £125 £245 : £385 840kg : 1365kg 125h : 150h : 175h 125lbs : 200lbs : 225lbs