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Mathematics: explore STEM content (page 16 of 23) · openstem
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Mathematics
Algebra, calculus, proofs and statistics on openstem — flashcards, notes, quizzes and plots shared by the community. Study free, or clone anything into your library.
A scale factor is the number you multiply every length of a figure by to make a similar, larger or smaller copy. If the scale factor is 2, every side becomes twice as long.
Mathematics
Mathematics · L2 · Scale Drawings & Similar Figures
What a number line is A straight line with numbers marked at equal spaces, in order from smallest to biggest. Every whole number has its own spot, and numbers close together on the line are close together in value. To place 24 on a line fro
Sorting by one rule Sorting means putting things into groups by a rule. Pick a rule, like "is it red?", and everything that matches goes in one pile. Draw one circle and write the rule above it. Only things that follow the rule go inside. S
Rate of change tells you how much one quantity changes compared to another — usually how much y changes for every step in x. On a graph, it's how steeply the line climbs or falls.
When graphing an inequality on a number line, when do you use an open circle versus a closed (filled) circle?1 / 9
An open circle means the boundary value is NOT part of the solution — used for < and >. A closed (filled) circle means the boundary value IS included — used for ≤ and ≥.
Mathematics
Mathematics · L2 · Graphing Inequalities on a Number Line
Two ways to define a sequence Fibonacci Base cases F(1) = 1 and F(2) = 1. Then for n > 2, each term is the sum of the two before it. This one needs TWO base cases, because the rule reaches back two steps. Give it only one and the sequence c
Histograms group numbers into bins A histogram sorts numeric data into equal-width ranges called bins and draws a bar for each. Because each bin starts exactly where the last one ends, the bars touch. Sort 11 test scores into bins of width
Two kinds of pattern A pattern follows a rule you can predict. There are two kinds you'll meet constantly. Repeating patterns A repeating pattern uses a small group, called the core, over and over in the same order. Growing patterns A growi
The one rule Proportional means y is always the same multiple of x. That's it. Test a table: divide every row Work out y ÷ x for each row and compare. Here k = 4, so the rule is y = 4x. Test an equation: look for extras Test a graph: two ch
A café offers 4 kinds of bread and 6 kinds of filling for a sandwich. Using the fundamental counting principle, how many different sandwiches (one bread, one filling) are possible?
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Mathematics
Mathematics · L3 · Permutations, Combinations & Probability
What is a point estimate vs an interval estimate?1 / 11
A point estimate is a single statistic (e.g., x̄) used to estimate a population parameter (μ). An interval estimate (confidence interval) provides a range [L, U] that captures the true parameter with a stated confidence level (e.g., 95%).