Brain learning intro to math ppt
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London taxi drivers must pass a rigorous exam called "The Knowledge" to obtain their license. The exam tests drivers' memorization of over 25,000 streets and landmarks as well as the quickest routes between any two points in a trip within a six mile radius of Charing Cross. Passing the exam can take up to four years of intensive study as drivers commit every street and route to memory through various memorization techniques in order to navigate London's complex road network.
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NI2 vocabulary - Extreme sports
Extreme sports are high-risk sporting events characterized by speed and danger that operate outside of traditional mainstream sports. They include motorized activities like motorcross and Formula 1 racing as well as aerial sports like hang gliding, parachuting, and bungee jumping. Water sports like surfing, windsurfing, rafting, and white water canoeing are also often considered extreme. The document discusses common extreme sports and has students discuss in groups which extreme sports they have done or would like to try and why people are drawn to such dangerous activities.
Extreme sports
Extreme sports involve activities perceived as dangerous such as speed, height, and physical effort. They gained popularity in the 1990s with the X-Games. Some extreme sports include parkour, base jumping, freestyle motocross, paintball, skateboarding, climbing, and wakeboarding. Parkour involves overcoming obstacles using one's body and environment. Base jumping involves parachuting from fixed objects like buildings or cliffs. Freestyle motocross features stunts and jumps on motorcycles judged for difficulty.
B.J
Bungee jumping is an extreme sport that involves jumping from tall structures while attached to an elastic cord. It originated from climbers using ropes to break their falls. The first organized jumps were done by members of the Oxford University Dangerous Sports Club in the late 1970s. Bungee jumping requires specialized equipment like cords, harnesses, and helmets. While it provides an adrenaline rush, it also carries risks and is not an activity for everyone.
- About Bungee Jumpin'
Bungee jumping is an extreme sport that involves jumping from tall structures while attached to an elastic cord. It originated from climbers using ropes to break their falls. The first organized jumps were done by members of the Oxford University Dangerous Sports Club in the late 1970s and 1980s. Bungee jumping requires specialized equipment like cords, harnesses, and helmets. While it provides an adrenaline rush, it also carries risks due to falling from heights.
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Percent increase at the store
The document discusses ounce amounts for different food items. A big bag contains 24.8 ounces. A Captain Crunch box and Great Value bottle are asked about but their ounce amounts are not provided. The smaller bottle contains 5.8 ounces. The document asks about ounce amounts for several food items but only provides the size of the big bag and smaller bottle.
Subtract integer practice
This document provides integer subtraction practice problems with the answers. There are 30 problems ranging from simple single digit subtraction to larger multi-digit problems involving positive and negative numbers. The problems cover a variety of subtraction scenarios including subtracting a larger number from a smaller number, subtracting a negative number, and subtracting two numbers with the same sign.
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NI2 vocabulary - Extreme sports
Extreme sports are high-risk sporting events characterized by speed and danger that operate outside of traditional mainstream sports. They include motorized activities like motorcross and Formula 1 racing as well as aerial sports like hang gliding, parachuting, and bungee jumping. Water sports like surfing, windsurfing, rafting, and white water canoeing are also often considered extreme. The document discusses common extreme sports and has students discuss in groups which extreme sports they have done or would like to try and why people are drawn to such dangerous activities.
Extreme sports
Extreme sports involve activities perceived as dangerous such as speed, height, and physical effort. They gained popularity in the 1990s with the X-Games. Some extreme sports include parkour, base jumping, freestyle motocross, paintball, skateboarding, climbing, and wakeboarding. Parkour involves overcoming obstacles using one's body and environment. Base jumping involves parachuting from fixed objects like buildings or cliffs. Freestyle motocross features stunts and jumps on motorcycles judged for difficulty.
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- About Bungee Jumpin'
Bungee jumping is an extreme sport that involves jumping from tall structures while attached to an elastic cord. It originated from climbers using ropes to break their falls. The first organized jumps were done by members of the Oxford University Dangerous Sports Club in the late 1970s and 1980s. Bungee jumping requires specialized equipment like cords, harnesses, and helmets. While it provides an adrenaline rush, it also carries risks due to falling from heights.
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Subtract integer practice
This document provides integer subtraction practice problems with the answers. There are 30 problems ranging from simple single digit subtraction to larger multi-digit problems involving positive and negative numbers. The problems cover a variety of subtraction scenarios including subtracting a larger number from a smaller number, subtracting a negative number, and subtracting two numbers with the same sign.
Percents lab
This document discusses solving multi-step ratio and percent problems using proportional relationships. It explains that percents can be used to solve problems involving interest, tax, discounts and tips. It asks the reader to write a paragraph explaining what percent means, how to solve a percent problem, and provide an example. It also asks the reader to explain what 100%, 10%, 200%, 90%, 300%, 50%, 400%, and 25% mean and provide an example for each.
Outliers
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Similar figures measurement copy
To find the height of a lamppost, measure the length of your shadow and the lamppost's shadow. Then use similar triangles to calculate the height of the lamppost based on your known height and the relative lengths of the shadows. The height of the lamppost can be calculated by taking your height divided by your shadow length and multiplying that ratio by the lamppost's shadow length.
Similar figures measurement copy
To find the height of a lamppost, measure the length of your shadow and the lamppost's shadow. Then use similar triangles to calculate the height of the lamppost based on your known height and the lengths of the shadows. The height of the lamppost will be proportional to your height based on the ratio of shadow lengths.
Multiply negative numbers copy
Here are the solutions to the daily startup problems with explanations:
I have 4 groups of 6 black chips.
4x6 = 24
I have 4 groups of 6 red chips.
4x6 = 24
I owe 4 groups of 6 black chips.
-4x6 = -24 (Owing chips is a negative amount)
I owe 4 groups of 6 red chips.
-4x6 = -24 (Owing chips is a negative amount)
In the first two situations, having chips is a positive amount. In the last two situations, owing chips is represented as a negative amount since it is a debt that is owed.
Slope intercept
Mr. Roberts had $20 initially and earns money at a rate of $4 per day. Using the equation y=mx+b and the information that Mr. Roberts had $20 initially (day 0) and $24 after 4 days, we can determine that the equation is y=$4x+20. Therefore, after 14 days Mr. Roberts will have $20 + 14 * $4 = $20 + $56 = $76.
I=prt interest
Here are 5 problems from chapter 7-8 problems 4-16 (even only) that I would choose to practice:
Problem 4) $800, 5%, 1 year
Problem 6) $1200, 4.5%, 18 months
Problem 8) $2000, 3.25%, 3 years
Problem 10) $3000, 2.75%, 5 years
Problem 14) $5000, 6%, 2 1/2 years
Percent change
The document provides examples of calculating percent change from original to new values, showing a 40% decrease when price drops from $100 to $60, and 119% increase when gas price rises from $1.30 to $2.85. It explains that percent change represents the amount of change relative to the original or starting value.
Markup and markdown
Here are some practice tax problems:
Cost of item: $50
Sales tax rate: 7%
Method 1:
50 + (50 x 0.07)
50 + 3.50
53.50
Method 2:
50 x 107%
50 x 1.07
53.50
Cost of item: $75
Sales tax rate: 4%
Method 1:
75 + (75 x 0.04)
75 + 3
78
Method 2:
75 x 104%
75 x 1.04
78
Let me know if you need any clarification or have additional questions!
Two 50% off coupons startup
The document discusses coupons and discounts for an item originally priced at $150. It states that there are two coupons that will be applied, with the first being 50% off the original price of $150, reducing it to $75. It then asks how much the final price will be after applying a 50% discount to the already discounted price of $75.
Percents lab
The document discusses using proportions to solve multi-step ratio and percent problems. It explains that percents refer to parts of a whole expressed as a fraction of 100, and provides examples of common percents like 10%, 50%, and 100%. Problems involving percents can be solved by determining what percentage of the whole is being considered and setting up proportional relationships between the percentages and quantities.
Square vs. cube
A perfect square can make a perfect cube when the number of blocks needed to form both the square and cube is the same. This occurs when the side of the square and cube are powers of two. The first time this happens is with 8 blocks forming an 8x8 square and 4x4x4 cube, as 8=23 and 4=22. The next larger numbers that are both perfect squares and cubes are 16, 64, 256, and 1024.
Distributive property
The document discusses the distributive property in algebra, noting that the FOIL method for multiplying two binomial expressions is actually an application of the distributive property. It states that as long as each term or element is distributed to the other terms, the multiplication has been done correctly according to the distributive property, regardless of the order used.
Scientific notation
Here are the conversions:
Thickness of paper = 0.004 inches
In feet: 0.004 inches = 0.0003333 feet
In yards: 0.004 inches = 0.0000444 yards
In miles: 0.004 inches = 0.000000000694444 miles
So in summary:
- Paper thickness is 0.004 inches
- In feet it is 0.0003333 feet
- In yards it is 0.0000444 yards
- In miles it is 0.000000000694444 miles
Rate conversion speed copy
This document discusses how to convert between different rates and ratios by recognizing proportional relationships and representing them with equations. It covers computing unit rates from ratios of fractions with like or different units, representing proportional relationships with equations, and using proportional relationships to solve multi-step ratio and percent problems.
Solving ratio equations
The document discusses four methods for solving ratio and proportion word problems:
1) Simplifying the ratios,
2) Using multiplication and division to equate the ratios,
3) Setting up cross products to solve for the missing value, and
4) Finding the unit rate and using it to determine the missing value. Examples are provided to illustrate each method.
Unit rate from convenience store
The document discusses unit rates and proportional relationships. It states that students should be able to determine if two quantities are proportional by checking for equivalent ratios in tables or graphs. It also says students should be able to identify the constant of proportionality or unit rate in tables, graphs, equations, diagrams or verbal descriptions of proportional relationships.
Ratios part/part and part/whole
Here are the key points about ratios:
- A ratio expresses the relationship between two quantities. It can be written as A:B, A/B, or "A to B".
- "Per" and "for every" indicate a ratio. For example, "2 miles per hour" means the ratio of miles to hours is 2:1.
- Part to part (P/P) ratios compare two parts of a whole, like the ratio of girls to boys. Part to whole (P/W) ratios compare a part to the whole, like the ratio of girls to total students.
- P/W ratios can be thought of as fractions because they relate a part to the whole. P
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Inequalities
This document discusses inequalities in mathematics and provides an example of using an inequality to solve a word problem about purchasing gummy bears. It explains that the mathematical symbol I<3U does not mean "I love you" but rather means "I am less than 3 of you." It then presents a word problem where a person has $20 to spend on gummy bears that cost $0.30 per ounce and uses an inequality to determine that the person can purchase less than 4.16 pounds of gummy bears without spending all their money.
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This document discusses solving multi-step ratio and percent problems using proportional relationships. It explains that percents can be used to solve problems involving interest, tax, discounts and tips. It asks the reader to write a paragraph explaining what percent means, how to solve a percent problem, and provide an example. It also asks the reader to explain what 100%, 10%, 200%, 90%, 300%, 50%, 400%, and 25% mean and provide an example for each.
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Similar figures measurement copy
To find the height of a lamppost, measure the length of your shadow and the lamppost's shadow. Then use similar triangles to calculate the height of the lamppost based on your known height and the relative lengths of the shadows. The height of the lamppost can be calculated by taking your height divided by your shadow length and multiplying that ratio by the lamppost's shadow length.
Similar figures measurement copy
To find the height of a lamppost, measure the length of your shadow and the lamppost's shadow. Then use similar triangles to calculate the height of the lamppost based on your known height and the lengths of the shadows. The height of the lamppost will be proportional to your height based on the ratio of shadow lengths.
Multiply negative numbers copy
Here are the solutions to the daily startup problems with explanations:
I have 4 groups of 6 black chips.
4x6 = 24
I have 4 groups of 6 red chips.
4x6 = 24
I owe 4 groups of 6 black chips.
-4x6 = -24 (Owing chips is a negative amount)
I owe 4 groups of 6 red chips.
-4x6 = -24 (Owing chips is a negative amount)
In the first two situations, having chips is a positive amount. In the last two situations, owing chips is represented as a negative amount since it is a debt that is owed.
Slope intercept
Mr. Roberts had $20 initially and earns money at a rate of $4 per day. Using the equation y=mx+b and the information that Mr. Roberts had $20 initially (day 0) and $24 after 4 days, we can determine that the equation is y=$4x+20. Therefore, after 14 days Mr. Roberts will have $20 + 14 * $4 = $20 + $56 = $76.
I=prt interest
Here are 5 problems from chapter 7-8 problems 4-16 (even only) that I would choose to practice:
Problem 4) $800, 5%, 1 year
Problem 6) $1200, 4.5%, 18 months
Problem 8) $2000, 3.25%, 3 years
Problem 10) $3000, 2.75%, 5 years
Problem 14) $5000, 6%, 2 1/2 years
Percent change
The document provides examples of calculating percent change from original to new values, showing a 40% decrease when price drops from $100 to $60, and 119% increase when gas price rises from $1.30 to $2.85. It explains that percent change represents the amount of change relative to the original or starting value.
Markup and markdown
Here are some practice tax problems:
Cost of item: $50
Sales tax rate: 7%
Method 1:
50 + (50 x 0.07)
50 + 3.50
53.50
Method 2:
50 x 107%
50 x 1.07
53.50
Cost of item: $75
Sales tax rate: 4%
Method 1:
75 + (75 x 0.04)
75 + 3
78
Method 2:
75 x 104%
75 x 1.04
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Let me know if you need any clarification or have additional questions!
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The document discusses coupons and discounts for an item originally priced at $150. It states that there are two coupons that will be applied, with the first being 50% off the original price of $150, reducing it to $75. It then asks how much the final price will be after applying a 50% discount to the already discounted price of $75.
Percents lab
The document discusses using proportions to solve multi-step ratio and percent problems. It explains that percents refer to parts of a whole expressed as a fraction of 100, and provides examples of common percents like 10%, 50%, and 100%. Problems involving percents can be solved by determining what percentage of the whole is being considered and setting up proportional relationships between the percentages and quantities.
Square vs. cube
A perfect square can make a perfect cube when the number of blocks needed to form both the square and cube is the same. This occurs when the side of the square and cube are powers of two. The first time this happens is with 8 blocks forming an 8x8 square and 4x4x4 cube, as 8=23 and 4=22. The next larger numbers that are both perfect squares and cubes are 16, 64, 256, and 1024.
Distributive property
The document discusses the distributive property in algebra, noting that the FOIL method for multiplying two binomial expressions is actually an application of the distributive property. It states that as long as each term or element is distributed to the other terms, the multiplication has been done correctly according to the distributive property, regardless of the order used.
Scientific notation
Here are the conversions:
Thickness of paper = 0.004 inches
In feet: 0.004 inches = 0.0003333 feet
In yards: 0.004 inches = 0.0000444 yards
In miles: 0.004 inches = 0.000000000694444 miles
So in summary:
- Paper thickness is 0.004 inches
- In feet it is 0.0003333 feet
- In yards it is 0.0000444 yards
- In miles it is 0.000000000694444 miles
Rate conversion speed copy
This document discusses how to convert between different rates and ratios by recognizing proportional relationships and representing them with equations. It covers computing unit rates from ratios of fractions with like or different units, representing proportional relationships with equations, and using proportional relationships to solve multi-step ratio and percent problems.
Solving ratio equations
The document discusses four methods for solving ratio and proportion word problems:
1) Simplifying the ratios,
2) Using multiplication and division to equate the ratios,
3) Setting up cross products to solve for the missing value, and
4) Finding the unit rate and using it to determine the missing value. Examples are provided to illustrate each method.
Unit rate from convenience store
The document discusses unit rates and proportional relationships. It states that students should be able to determine if two quantities are proportional by checking for equivalent ratios in tables or graphs. It also says students should be able to identify the constant of proportionality or unit rate in tables, graphs, equations, diagrams or verbal descriptions of proportional relationships.
Ratios part/part and part/whole
Here are the key points about ratios:
- A ratio expresses the relationship between two quantities. It can be written as A:B, A/B, or "A to B".
- "Per" and "for every" indicate a ratio. For example, "2 miles per hour" means the ratio of miles to hours is 2:1.
- Part to part (P/P) ratios compare two parts of a whole, like the ratio of girls to boys. Part to whole (P/W) ratios compare a part to the whole, like the ratio of girls to total students.
- P/W ratios can be thought of as fractions because they relate a part to the whole. P
Inforgraphics examples
Infographics are visual representations of information, data, or knowledge that use charts, graphs, diagrams, and other images to present complex information quickly and clearly. They can help simplify large amounts of statistical data or other information and make it more understandable and accessible for a wider audience. Effective infographics rely on designs, layouts, and visual cues to deliver messages efficiently in a manner that can be quickly understood.
Inequalities
This document discusses inequalities in mathematics and provides an example of using an inequality to solve a word problem about purchasing gummy bears. It explains that the mathematical symbol I<3U does not mean "I love you" but rather means "I am less than 3 of you." It then presents a word problem where a person has $20 to spend on gummy bears that cost $0.30 per ounce and uses an inequality to determine that the person can purchase less than 4.16 pounds of gummy bears without spending all their money.
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