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Mathematics: explore STEM content (page 21 of 23) · openstem
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Mathematics
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Add, subtract, multiply Degree and leading term The leading term decides the shape. Everything else just nudges it. Slide a below: the bigger |a|, the tighter the parabola, and a negative a turns it over. On a wide enough view, x² buries an
A function defined by two or more different rules, each applying only to a specific interval of the domain. To evaluate it at some x, you first find which interval x falls into, then apply only that piece's rule.
One identity to remember It falls straight out of the unit circle, where every point satisfies x² + y² = 1. Using it Know one of sin θ or cos θ and you can get the other. Given sin θ = 3/5 in the first quadrant: Two identities you get for f
Potential outcomes Every unit i has two outcomes waiting: Y_i(1) if treated, Y_i(0) if not. The individual effect is their difference. What you can recover is an average, because averages only need each unit to contribute one arm. Which ave
How much a container holds Capacity is how much fits inside: water, sand, rice, anything pourable. A bucket has a large capacity, a teacup a small one. Compare two containers by asking: does this one hold more, less, or the same? Measuring
Mathematics
Mathematics · L1 · Capacity & Volume: More, Less or Same
Build the line from a table No guessing needed. Pick x-values, solve for y, plot the pairs. Say the equation is y = 2x − 1: Or skip the table: use the intercepts Worked on 2x + 3y = 12: Two points, one straight edge, done. Two forms, same l
A shortcut for adding the same number 3 groups of 4 counters is 4 + 4 + 4, or just 3 × 4. Both give 12. The bigger the numbers, the more it saves you. Adding 8 groups of 6 one at a time takes a while; 8 × 6 is instant. Arrays: rows and colu