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Mathematics: explore STEM content (page 7 of 23) · openstem

All fields Software Mathematics Physics Chemistry Biology Engineering Astronomy Environmental Other Mathematics Mathematics groups

Explore STEM Content

Search the community's STEM library — free to study, yours to make your own.

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.

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Flowchart7 objects

Mathematics

Mathematics · L2 · Is It Prime? A Quick Test

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Mathematics · L2 · Is It Prime? A Quick Test

Note~214 words · 1 min

Flat shapes A 2D shape is flat: it has length and width but no thickness, so you can draw one on paper. Describe any of them with two numbers: how many sides, and how many corners. Sorting shapes Square or rectangle? Ask one more question:

Mathematics

Mathematics · L1 · 2D Shapes & Their Attributes

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Mathematics · L1 · 2D Shapes & Their Attributes

Quiz5 questions

What is double 4?

A6B8C4D10

Mathematics

Mathematics · L1 · Doubling & Halving

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Mathematics · L1 · Doubling & Halving

Quiz6 questions

You flip a coin and separately roll a die. What is P(tails on the coin AND a 4 on the die)?

A1/12B1/6C1/2D7/12

Mathematics

Mathematics · L3 · Independent, Dependent & Conditional Probability

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Mathematics · L3 · Independent, Dependent & Conditional Probability

Flowchart11 objects

Mathematics

Mathematics · L2 · Independent or Dependent Events?

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Mathematics · L2 · Independent or Dependent Events?

Quiz8 questions

A set C is convex if:

AIt is boundedBFor all x,y ∈ C and t ∈ [0,1], tx+(1−t)y ∈ CCIt contains the originDIt is closed

Mathematics

Mathematics · L5 · Convex Optimization

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Mathematics · L5 · Convex Optimization

Flashcards8 cards

Define a convex set.1 / 8

C is convex if for all x, y ∈ C and t ∈ [0,1], tx + (1−t)y ∈ C — the entire line segment between any two points of C stays inside C.

Mathematics

Mathematics · L5 · Convex Optimization

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Mathematics · L5 · Convex Optimization

Flashcards6 cards

What is the sum of angles on a straight line?1 / 6

Angles on a straight line add up to 180°. They are called supplementary angles.

Mathematics

Mathematics · L3 · Angles & Parallel Lines

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Mathematics · L3 · Angles & Parallel Lines

Quiz6 questions

A circle has radius 8 cm and central angle 3π/4 radians. What is the arc length?

A6π cm (about 18.85 cm)B3π cm (about 9.42 cm)C24π cmD4π/3 cm (about 4.19 cm)

Mathematics

Mathematics · L3 · Circles: Arcs, Sectors & Equations

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Mathematics · L3 · Circles: Arcs, Sectors & Equations

Quiz5 questions

Which of these is the correct definition of a rational number?

AA number whose decimal never endsBA number that can be written as a fraction of two integersCAny number with a decimal pointDA number bigger than zero

Mathematics

Mathematics · L2 · Rational vs Irrational Numbers

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Mathematics · L2 · Rational vs Irrational Numbers

Note~321 words · 2 min

The General Transformed Equation Every transformation of a sine or cosine graph can be written using four constants, A, B, C, and D: Each one acts alone. Change B and the amplitude doesn't care. Amplitude and period Slide a and b below on t

Mathematics

Mathematics · L3 · Graphing Trig Functions

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Mathematics · L3 · Graphing Trig Functions

Flowchart7 objects

Mathematics

Mathematics · L1 · A Day in Clock Times

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Mathematics · L1 · A Day in Clock Times

Flowchart9 objects

Mathematics

Mathematics · L1 · Position & Direction Words · flowchart

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Mathematics · L1 · Position & Direction Words · flowchart

Flowchart10 objects

Mathematics

Mathematics · L3 · Number Theory: GCD, LCM & the Euclidean Algorithm

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Mathematics · L3 · Number Theory: GCD, LCM & the Euclidean Algorithm

Flashcards8 cards

What formula do you use to find the volume of a rectangular prism (box)?1 / 8

V = length × width × height. Multiply all three dimensions together to find how much space fits inside.

Mathematics

Mathematics · L2 · Volume & Surface Area of Prisms

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Mathematics · L2 · Volume & Surface Area of Prisms

Flowchart9 objects

Mathematics

Mathematics · L1 · Position & Direction Words · flowchart

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Mathematics · L1 · Position & Direction Words · flowchart

Flashcards8 cards

What is a bar graph used for?1 / 8

A bar graph uses bars of different heights to show how many of something there are, so you can compare groups just by looking.

Mathematics

Mathematics · L1 · Making & Reading Bar Graphs

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Mathematics · L1 · Making & Reading Bar Graphs

Flowchart9 objects

Mathematics

Mathematics · L2 · Is It Rational or Irrational?

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Mathematics · L2 · Is It Rational or Irrational?

Quiz5 questions

What does 4³ equal?

A12B64C7D81

Mathematics

Mathematics · L2 · Exponents & Square Roots

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Mathematics · L2 · Exponents & Square Roots

Note~448 words · 2 min

Making "approaches" mean something "f(x) gets close to L as x gets close to a" is a sentence, not a definition. Cauchy and Weierstrass turned it into one. Read it as a game Note the strict 0 < |x − a|. The value f(a) is irrelevant, and may

Mathematics

Mathematics · L4 · ε–δ definition of a limit

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Mathematics · L4 · ε–δ definition of a limit

Flowchart13 objects

Mathematics

Mathematics · L3 · What Can You Do With Two Matrices?

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Mathematics · L3 · What Can You Do With Two Matrices?

Collection4 items

01Mathematics · L4 · Probability — Fundamentals

02Mathematics · L4 · Bayesian reasoning and Bayes' theorem

03Mathematics · L4 · Probability tree: conditional outcomes

+1 more

Mathematics

Mathematics · L4 · Probability Primer

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Mathematics · L4 · Probability Primer

Flashcards8 cards

What is a histogram used for?1 / 8

A histogram shows how frequently data values fall into different ranges, called bins. The height of each bar shows how many data points landed in that bin.

Mathematics

Mathematics · L2 · Histograms & Box Plots

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Mathematics · L2 · Histograms & Box Plots

Flowchart9 objects

Mathematics

Mathematics · L1 · Equal Parts: Halves, Thirds & Quarters

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Mathematics · L1 · Equal Parts: Halves, Thirds & Quarters

Flowchart9 objects

Mathematics

Mathematics · L1 · Making & Reading Bar Graphs · flowchart

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Mathematics · L1 · Making & Reading Bar Graphs · flowchart

Flowchart11 objects

Mathematics

Mathematics · L3 · Central Angle or Inscribed Angle?

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Mathematics · L3 · Central Angle or Inscribed Angle?

Flowchart23 objects

Mathematics

Mathematics · L4 · Probability distribution family tree

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Mathematics · L4 · Probability distribution family tree

Note~87 words · 1 min

One idea, three costumes A fraction, a decimal and a percent all answer the same question: how much of the whole? How to switch between them

Mathematics

Mathematics · L2 · Fractions, Decimals, and Percents

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Mathematics · L2 · Fractions, Decimals, and Percents

Flashcards7 cards

How can you tell which of two pencils is longer without measuring?1 / 7

Line up one end of both pencils together on a flat surface. Whichever pencil sticks out further past the other one is longer.

Mathematics

Mathematics · L1 · Comparing Length: Longer, Shorter, Taller

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Mathematics · L1 · Comparing Length: Longer, Shorter, Taller

Note~212 words · 1 min

Folding to find symmetry A shape has symmetry if an imaginary line splits it so both halves match exactly, like a mirror image. That line is a line of symmetry. The test is folding. If both halves land perfectly on top of each other, that's

Mathematics

Mathematics · L1 · Symmetry & Reflection

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Mathematics · L1 · Symmetry & Reflection

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