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Mathematics: explore STEM content (page 10 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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Quiz6 questions

For f(x) = { x + 2 if x < 0; x² if 0 ≤ x < 3; 7 if x ≥ 3 }, what is f(−1)?

A1B−1C1²= 1, so 4D7

Mathematics

Mathematics · L3 · Piecewise Functions & Step Functions

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Mathematics · L3 · Piecewise Functions & Step Functions

Flashcards5 cards

What is probability?1 / 5

Probability tells us how likely something is to happen. We write it as a fraction, decimal, or percent.

Mathematics

Mathematics · L2 · Simple Probability

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Mathematics · L2 · Simple Probability

Flowchart11 objects

Mathematics

Mathematics · L3 · Piecewise Functions & Step Functions

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Mathematics · L3 · Piecewise Functions & Step Functions

Flowchart19 objects

Mathematics

Mathematics · L4 · Data visualisation: choosing the right chart · flowchart

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Mathematics · L4 · Data visualisation: choosing the right chart · flowchart

Quiz3 questions

How many sides does a triangle have?

A2B4C3D5

Mathematics

Mathematics · L1 · Shapes Around Us

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Mathematics · L1 · Shapes Around Us

Note~202 words · 1 min

Two number lines that cross Between them, any location on the plane can be named with just two numbers. Plotting (x, y) So (4, 2) means 4 right, then 2 up. The four quadrants Numbered from the top-right, going counter-clockwise. A point sit

Mathematics

Mathematics · L2 · The Coordinate Plane

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Mathematics · L2 · The Coordinate Plane

Flashcards9 cards

Define a topological space (X, τ).1 / 9

A set X together with a collection τ of subsets (the open sets) such that: (i) ∅, X ∈ τ; (ii) τ is closed under arbitrary unions; (iii) τ is closed under finite intersections. τ is called a topology on X.

Mathematics

Mathematics · L5 · Point-Set Topology

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Mathematics · L5 · Point-Set Topology

Flowchart9 objects

Mathematics

Mathematics · L1 · Ordinal Numbers & Ordering

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Mathematics · L1 · Ordinal Numbers & Ordering

Flowchart7 objects

Mathematics

Mathematics · L1 · Sequencing Events: First, Next, Last · flowchart

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Mathematics · L1 · Sequencing Events: First, Next, Last · flowchart

Flowchart7 objects

Mathematics

Mathematics · L1 · Making & Reading Bar Graphs · flowchart

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Mathematics · L1 · Making & Reading Bar Graphs · flowchart

Flowchart16 objects

Mathematics

Mathematics · L2 · Compound Events & Probability · flowchart

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Mathematics · L2 · Compound Events & Probability · flowchart

Quiz5 questions

You sort a box of buttons by one rule: 'is it round?'. What goes in the 'round' group?

AOnly round buttonsBAll the buttons, round or notCOnly square buttonsDNothing — buttons cannot be sorted

Mathematics

Mathematics · L1 · Sorting with Venn Diagrams

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Mathematics · L1 · Sorting with Venn Diagrams

Quiz6 questions

What is a line of symmetry?

AA line that colours a shapeBA line that splits a shape into two matching halvesCThe longest side of a shapeDA line that only circles have

Mathematics

Mathematics · L1 · Symmetry & Reflection

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Mathematics · L1 · Symmetry & Reflection

Flowchart8 objects

Mathematics

Mathematics · L1 · Doubling & Halving

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Mathematics · L1 · Doubling & Halving

Note~240 words · 1 min

Sets and membership A set is a collection of distinct objects, its elements. List them in braces; use ∈ to say something belongs. Set-builder notation describes a set by a rule rather than a list, which is essential once the set is large or

Mathematics

Mathematics · L3 · Sets & Set Operations

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Mathematics · L3 · Sets & Set Operations

Flashcards8 cards

What is a number line?1 / 8

A number line is a straight line with numbers marked at equal spaces, in order from smallest to biggest. It helps you see how far apart numbers are.

Mathematics

Mathematics · L1 · Number Lines & Rounding to Ten

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Mathematics · L1 · Number Lines & Rounding to Ten

Flowchart15 objects

Mathematics

Mathematics · L4 · Multivariable optimization pipeline

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Mathematics · L4 · Multivariable optimization pipeline

Flowchart9 objects

Mathematics

Mathematics · L3 · Mathematical Induction · flowchart

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Mathematics · L3 · Mathematical Induction · flowchart

Flashcards8 cards

What is a term in an algebraic expression?1 / 8

A term is a single number, a variable, or numbers and variables multiplied together. Terms are separated by + or − signs. In 5x + 3y − 7, the terms are 5x, 3y, and −7.

Mathematics

Mathematics · L2 · Algebraic Expressions

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Mathematics · L2 · Algebraic Expressions

Flowchart15 objects

Mathematics

Mathematics · L2 · Graphing Linear Equations

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Mathematics · L2 · Graphing Linear Equations

Flowchart7 objects

Mathematics

Mathematics · L1 · Bar Chart: Favourite Pets

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Mathematics · L1 · Bar Chart: Favourite Pets

Flashcards8 cards

What does it mean to "estimate" an amount?1 / 8

To estimate means to make a smart, reasonable guess about how many there are, without counting every single one.

Mathematics

Mathematics · L1 · Estimating & Benchmark Numbers

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Mathematics · L1 · Estimating & Benchmark Numbers

Plot1 plot · 1 param

Mathematics

Mathematics · L3 · The Logarithm: y = a·ln(x)

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Mathematics · L3 · The Logarithm: y = a·ln(x)

Flowchart7 objects

Mathematics

Mathematics · L2 · Probability: Experimental vs Theoretical · flowchart

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Mathematics · L2 · Probability: Experimental vs Theoretical · flowchart

Flowchart14 objects

Mathematics

Mathematics · L3 · Absolute Value Equations & Inequalities · flowchart

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Mathematics · L3 · Absolute Value Equations & Inequalities · flowchart

Note~185 words · 1 min

Same bottom number? Add the tops Equal denominators mean the pieces are already the same size, so you can just combine them. Different bottoms? Make them match first Different denominators mean different piece sizes. You can't add halves to

Mathematics