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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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Mathematics: explore STEM content (page 17 of 23) · openstem

Flowchart9 objects

Mathematics

Mathematics · L2 · Graphing Linear Equations · flowchart

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Mathematics · L2 · Graphing Linear Equations · flowchart

Quiz5 questions

What is 2/7 + 3/7?

A5/14B5/7C6/7D1

Mathematics

Mathematics · L2 · Adding & Subtracting Fractions

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Mathematics · L2 · Adding & Subtracting Fractions

Quiz10 questions

For matrices A (m×n) and B (n×p), what is the size of AB?

An×nBm×pCm×nDn×p

Mathematics

Mathematics · L4 · Matrix operations — 10 Q

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Mathematics · L4 · Matrix operations — 10 Q

Quiz6 questions

A triangle is described using two angles and the side between them (ASA). Which law lets you find the remaining two sides?

ALaw of SinesBLaw of CosinesCThe Pythagorean theoremDSOH-CAH-TOA

Mathematics

Mathematics · L3 · Law of Sines & Cosines

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Mathematics · L3 · Law of Sines & Cosines

Flashcards8 cards

What does 3 × 4 mean?1 / 8

It means 3 groups of 4. You can find the total by adding: 4 + 4 + 4 = 12.

Mathematics

Mathematics · L1 · Simple Multiplication

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Mathematics · L1 · Simple Multiplication

Quiz6 questions

Which of the following is a proposition?

A"Close the door."B"Is math fun?"C"The sum of 2 and 2 is 4."D"x + 3"

Mathematics

Mathematics · L3 · Logic & Truth Tables

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Mathematics · L3 · Logic & Truth Tables

Flowchart7 objects

Mathematics

Mathematics · L3 · Graph Theory Basics · flowchart

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Mathematics · L3 · Graph Theory Basics · flowchart

Quiz6 questions

How many sides does a triangle have?

A2B3C4D5

Mathematics

Mathematics · L1 · 2D Shapes & Their Attributes

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Mathematics · L1 · 2D Shapes & Their Attributes

Flashcards8 cards

What is the formula for the arc length s of a circle with radius r, when the central angle θ is measured in radians?1 / 8

Arc length is just radius times angle (in radians) — no extra conversion needed:

Mathematics

Mathematics · L3 · Circles: Arcs, Sectors & Equations

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Mathematics · L3 · Circles: Arcs, Sectors & Equations

Flowchart9 objects

Mathematics

Mathematics · L1 · Odd & Even Numbers · flowchart

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Mathematics · L1 · Odd & Even Numbers · flowchart

Note~385 words · 2 min

The right chart makes the finding obvious. The wrong one hides it, or worse, invents one. Start from your data type and your question, not from the chart you feel like drawing. Distribution of a single variable Relationship between two vari

Mathematics

Mathematics · L4 · Data visualisation: choosing the right chart

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Mathematics · L4 · Data visualisation: choosing the right chart

Flashcards7 cards

State the SOH-CAH-TOA memory aid.1 / 7

SOH: sin θ = Opposite / Hypotenuse

Mathematics

Mathematics · L3 · Right-Triangle Trigonometry (SOH-CAH-TOA)

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Mathematics · L3 · Right-Triangle Trigonometry (SOH-CAH-TOA)

Flowchart13 objects

Mathematics

Mathematics · L3 · SOH-CAH-TOA: Which Side Is Which?

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Mathematics · L3 · SOH-CAH-TOA: Which Side Is Which?

Note~232 words · 1 min

The parts of an expression An expression mixes numbers, variables and operations, and never has an equals sign. Take 5x + 3y − 7. Terms are separated by + and − signs, and the sign in front belongs to the term. That's why the last term is −

Mathematics

Mathematics · L2 · Algebraic Expressions

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Mathematics · L2 · Algebraic Expressions

Flowchart7 objects

Mathematics

Mathematics · L1 · Coin Recognition & Values

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Mathematics · L1 · Coin Recognition & Values

Flashcards8 cards

What is log₂(8)?1 / 8

log₂(8) = 3 because 2³ = 8. The logarithm asks 'what power gives this value?'

Mathematics

Mathematics · L3 · Exponential & Logarithmic Functions

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Mathematics · L3 · Exponential & Logarithmic Functions

Flowchart5 objects

Mathematics

Mathematics · L3 · Graph Theory Basics · flowchart

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Mathematics · L3 · Graph Theory Basics · flowchart

Flashcards8 cards

What is (+3) × (+4)?1 / 8

+12. Two positive numbers multiplied together always give a positive answer.

Mathematics

Mathematics · L2 · Multiplying & Dividing Integers

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Mathematics · L2 · Multiplying & Dividing Integers

Quiz6 questions

What does 'capacity' mean?

AHow heavy something isBHow much a container can holdCHow tall a container isDHow many containers there are

Mathematics

Mathematics · L1 · Capacity & Volume: More, Less or Same

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Mathematics · L1 · Capacity & Volume: More, Less or Same

Flashcards10 cards

What does the expression a mod n mean?1 / 10

It is the remainder left over when a is divided by n. For example, 14 mod 5 = 4, because 14 = 2 × 5 + 4.

Mathematics

Mathematics · L3 · Modular Arithmetic

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Mathematics · L3 · Modular Arithmetic

Flowchart11 objects

Mathematics

Mathematics · L1 · Simple Division · flowchart

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Mathematics · L1 · Simple Division · flowchart

Quiz6 questions

What are the two basic parts of any graph?

ARows and columnsBVertices and edgesCAxes and pointsDRoots and branches

Mathematics

Mathematics · L3 · Graph Theory Basics

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Mathematics · L3 · Graph Theory Basics

Flowchart11 objects

Mathematics

Mathematics · L2 · Percent Increase and Decrease

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Mathematics · L2 · Percent Increase and Decrease

Note~306 words · 2 min

Raw data is unreadable Data arrives in whatever order it was collected: not sorted, not counted, not organised. Before you can say anything about it you have to organise it, and the two simplest tools are a frequency table and a dot plot. T

Mathematics

Mathematics · L2 · Data Displays: Dot Plots & Frequency Tables

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Mathematics · L2 · Data Displays: Dot Plots & Frequency Tables

Flowchart10 objects

Mathematics

Mathematics · L1 · Fractions of a Group · flowchart

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Mathematics · L1 · Fractions of a Group · flowchart

Flashcards11 cards

What are the three measures of central tendency?1 / 11

Mean (arithmetic average: Σx/n), Median (middle value when sorted; robust to outliers), Mode (most frequent value). For skewed distributions, the median is often preferred over the mean.

Mathematics

Mathematics · L4 · Descriptive Statistics — Summarising Data

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Mathematics · L4 · Descriptive Statistics — Summarising Data

Flowchart13 objects

Mathematics

Mathematics · L3 · Complex Numbers

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Mathematics · L3 · Complex Numbers

Note~256 words · 1 min

Range: how far apart are the extremes? For 4, 9, 2, 15, 7: the biggest is 15, the smallest is 2, so the range is 13. Small range means bunched together; large range means spread out. What counts as an outlier A value standing well apart fro

Mathematics

Mathematics · L2 · Range, Outliers & Data Spread

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Mathematics · L2 · Range, Outliers & Data Spread

Flowchart11 objects

Mathematics

Mathematics · L3 · Sum, Difference & Double-Angle Identities · flowchart

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Mathematics · L3 · Sum, Difference & Double-Angle Identities · flowchart

Flowchart16 objects

Mathematics

Mathematics · L3 · Law of Sines & Cosines · flowchart

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Mathematics · L3 · Law of Sines & Cosines · flowchart

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