Students in 7th grade should know a lot of important math vocabulary words. Well enough to understand what the teacher and textbook are saying without having to look up every word. Mastery of these words is critical to understanding higher level mathematics. This lesson will not define every possible math word that 7th graders should know, but it will offer a good overview of some of the most important math terms for this grade.
Little Bobby is walking around his neighborhood. He sees an area in the playground that piques his interest. An area is a measure of a two-dimensional figure or the surface of a 3-dimensional figure that is denoted by square units. As he walks over to this area, he sees it's a circular playground. This playground has a circumference of 400 feet. The circumference is the distance around the circle.
In the playground, he overhears a mother talking about how her broker charges a huge commission. A commission is the fee that someone charges for their service, one that helps facilitate a transaction. The mom is fuming because the estimate the broker gave her for his commission was a lot less than what it turned out to be. The estimate is an approximate number or calculation.
Little Bobby is not interested in that stuff so he heads over to the tic-tac-toe game next to the slides. Instead of Xs, this game uses equilateral triangles. An equilateral triangle is a triangle whose three sides have the same exact length.
Bobby gets bored at the playground and heads home. He turns on the TV and hears that the population in the U.S. has increased by 1% over the last year. The population is the entire collection of subjects, individuals, or items that is being considered. A percent is an expression of one part in a hundred. So, for example, 20% of the U.S. population is the same as 20 one-hundredths of the U.S. population.
Bobby has no idea how much 20% of the U.S. population is. He thinks that the probability anyone knows the answer off the top of their head is pretty much zero. The probability is the chance that some sort of outcome will come to fruition as measured against the total number of possible outcomes. Meaning, it's the ratio of actual occurrences over the total number of possible outcomes.
At any rate, and speaking of that, rate is a kind of ratio where one unit is compared to a different unit. As Bobby goes over to his dad's car to see if he can back it up into a tree for a viral news story, he can see 'mph' written on the dash. He knows this means miles per hour, or miles/hour. The two units of miles and hour are considered in relation to one another via a ratio.
Bobby gets bored in his dad's car as soon as he realizes he can't start it. So, he decides to go up to his room and draw a car backed into a tree instead. He knows he can't possibly draw the entire car in full size. Instead, he turns to a scale drawing, a drawing, of a car in this case, which shows the car and its parts in the same proportion to their actual size. As he's drawing, he overhears his parents debating how the next president is going to increase their taxes. A tax is a sum of money the government collects on income, a product, service, or activity that is the used to pay for public services, facilities, and infrastructure. His parents think that a tax increase is an unlikely event, which is an event that is probably not going to happen.
The likelihood this lesson is over is 100%. Hopefully, you now know what a percent is along with a few of these words:
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College Preparatory Mathematics: Help and Review21 chapters | 175 lessons
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