Ralph and Vanellope travel through the internet in order to reach Ebay. Each step of their journey is depicted in the context of the current internet infrastructure: they travel through wires and in packets to their destination. This clip illustrates how the internet works at a high level.
Ruff Ruffman is in a rush to get everything ready for Chet's birthday party, and Blossom shows him that the internet can be used to solve a lot of his challenges. Using the internet, they invite guests to the birthday party, create a do-it-yourself trampoline, and make him a birthday cake.
While working on her homework, Vanessa receives an instant message with a link to a website titled "Hating Vanessa." The website, presumably made by Vanessa's peers, makes fun of her by depicting her with ridiculous hair styles.
As Vanessa leaves the lunch room after talking with Emily, one of the girls in the popular group shows Emily their yearbook cover idea. The idea is a video depicting Vanessa as an obese person with an unsatiable appetite. Vanessa stops to watch this video on her way out of the lunch room, and it disturbs her.
Ralph visits the comments section and discovers that people are talking about him and his videos. Although there are a few positive comments about him, there are many more negative and hateful comments, and it hurts his self-esteem. Yesss tries to comfort him by advising him to ignore the comments.
Ralph and Vanellope outbid another bidder for the Sugar Rush Steering Wheel. Initially, their bids are slightly above the other bidder's; however, they get carried away and bid an enormous price for the steering wheel. It's evident that they don't understand the implications of their high bid.
Two contestants, Steven and Sarah, are competing for a jackpot of £100,150. The show host explains the rules: they have to choose either the split ball or the steal ball. They can either split the jackpot evenly, go home with nothing, or go home with the entire jackpot.
The group explains the Fujita Scale to Melissa. They mention that the Scale is a classification for tornadoes based on the amount of damage they cause, and they give an example of the damage that would be caused by an F4 tornado.
During the Apollo 15 space mission, astronaut David Scott decides to test Galilleo's theory that all objects fall at the same rate, despite their weight, in the absence of an atmosphere. In his test, he drops two objects with drastically different weights, a hammer and a feather, at the same time.
The team at NASA is trying to launch a capsule and bring it back to Earth. To do so, they need to calculate its change in trajectory as it moves from an elliptical orbit to a parabolical orbit. Katherine discovers that they can use Euler's Method to approximate the change in trajectory.
After Digit brings back another gleamer bug to power the ship, the Cybersquad is surprised to learn that they have 30 gleamers of power, not 24. Jackie points out that the bug that Digit brought is actually two bugs stuck together. They use variable substitution to explain to Digit how they have 30 gleamers of power and to determine the number of additional gleamers they need to start the ship.
The Cybersquad are helping the authorities find out if Hacker has more land than Judge Trudy. They decide that measuring the area of Judge Trudy's square and comparing it to the area of Hacker's land is the best way to approach it. They use rope, fence posts, and tarps to calculate the area of the land.
Bianca is babysitting a set of twin boys and needs to feed them exactly 9 ounces of baby formula. She tries to find two containers that have the same volume so that she can feed each baby the same amount. She tests out different containers and learns that, although some containers may look different, they can hold the same volume.
Matt, Jackie, and Lucky play a game in which they can win a hat. When Jackie plays and loses, she wonders if this game is fair. She works together with Matt, and they calculate that every player's chance of winning is the same, so it is indeed fair.
Dominique and Ben race against the clock to match several brick bits of a castle to pieces of wallpaper containing the measurements. Later, a kitten asks a dragon if it can fit a drawer in its room, and the dragon measures the drawer to illustrate how to know for certain whether or not it will fit.
Sad Man and Bad Man both illustrate that calculating the fraction of a whole number is the same as dividing by the denominator. Bad Man then challenges Amber and Ashley to match fractions with their equivalent divisions, and they complete the challenge successfully.
Bad Man challenges two kids to solve problems involving calculating the fraction of a whole number. The kids walk through the process of solving each problem in a clear manner with supporting visuals. They solve every problem correctly.
Sad Man introduces us to Third Bird and Snorter, who are each allowed to have a fraction of their total treats. Sad Man walks us through how many treats each animal will get. Later, a song featuring Third Bird and Snorter explains how to calculate the fraction of a number.
Bad Man challenges Ryland and Celia to measure the area of multiple rectangular objects, such as a playing card and a videotape. Their process of measuring the length and the breadth (or width) is accompanied by supporting visuals. Afterwards, Bad Man suggests an easier way to remember the formula: by using the first letters of each word.
Sad Man presents us with six little worms that are trying to sleep but are cold because they don't have a bedspread. He poses a problem: how much cloth will need to be cut to sufficiently cover the worms? He walks through solving this area problem and explains each step of the process.
Real World Application →
Shapes in Everyday Items
The narrator explains that mathematics is much more than simply numbers and equations. He shows how different shapes, such as spheres and cones, can be found in nature and are used in technology both at home and in several industries.
Bill introduces the ancestor of the modern clock: the sundial. He illustrates how it uses shadows to indicate the time of day and explains how it influenced the clock. A time lapse then shows how the sundial and clock are in sync as the hours go by during the day.
Bill explains how we measure time and mentions some of the tools we use to measure it. He notes that time measurements, such as days, months, and years, are based on astronomical events and uses a motion machine to illustrate the Earth's revolution around the Sun and the Moon's revolution around the Earth.
Bill shows how units of length, such as a meter, can be used to measure the mass of an object. He mentions a few unit conversions, most notably that a liter of water is equivalent to a kilogram and stresses that only three-tenths of a meter and water are needed to measure an object's mass.
Cintronella Jones catches a man making counterfeit meter sticks and arrests him because he is violating measurement standards. Later, a girl indicates that a meter is standardized across different countries in the world and even on the moon.
Bill provides a brief background on the history of measurement and explains why humans developed standard units of measurement. He explains how the meter was developed and talks about the simplicity of the metric system.
Bad Man challenges Amber and Michael to identify numbers in the tenths and hundredths places from a fixed set. After they successfully complete the challenge, he asks them to place the numbers in order on the number line.
Bad Man challenges Amber to place on the number line three numbers between 1 and 2. He refers to the numbers directly to the right of the decimal point as tenths. He then gives Michael a similar challenge to that of Amber except with numbers containing decimals in the hundredths place.
Bad Man challenges Sarah and Nico to add numbers with decimals up to the hundredths place. They walk through their process in a manner that is easy to follow and eventually calculate the correct answer. Before they start solving the problem, Bad Man reminds them to estimate so that they can quickly determine if they've gone astray.
In an interactive game, Bad Man tests two kids on their ability to mark the vertices of a triangle after it has been reflected on one axis. After the kids complete the challenge, Bad Man puts four more kids to the test: he asks them to reflect a diamond shape over the Y axis.