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

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

Mathematics

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Mathematics: explore STEM content (page 2 of 23) · openstem

Quiz4 questions

Simplify: log₃(27).

A2B9C3D1/3

Mathematics

Mathematics · L3 · Exponentials, Logs & Complex Numbers

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Mathematics · L3 · Exponentials, Logs & Complex Numbers

Note~283 words · 1 min

Rigid means the size never changes A transformation moves a figure from its starting position (the pre-image) to a new one (the image). Translations, reflections and rotations are all rigid: position and orientation change, size and shape n

Mathematics

Mathematics · L2 · Transformations: Translations, Reflections & Rotations

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Mathematics · L2 · Transformations: Translations, Reflections & Rotations

Flowchart7 objects

Mathematics

Mathematics · L2 · Line Plot: Reading Data on a Number Line

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Mathematics · L2 · Line Plot: Reading Data on a Number Line

Note~338 words · 2 min

Big-O measures shape, not seconds It answers one question: as the input n grows, how does the work grow? Five growth rates worth memorising Logarithmic growth is the good kind O(log n) is the flattest useful curve there is. Watch it below:

Mathematics

Mathematics · L3 · Algorithms & Big-O Basics

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Mathematics · L3 · Algorithms & Big-O Basics

Collection10 items

01Normal Distribution: exp(−(x−μ)²/(2σ²))

02Linear Regression: y = m·x + b

03Exponential Decay: y = e^(−k·x)

+7 more

Mathematics

Mathematics · L3 · Statistics

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Mathematics · L3 · Statistics

Flowchart9 objects

Mathematics

Mathematics · L3 · Two-Column Proof Structure

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Mathematics · L3 · Two-Column Proof Structure

Flowchart7 objects

Mathematics

Mathematics · L2 · Slope & Rate of Change · flowchart

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Mathematics · L2 · Slope & Rate of Change · flowchart

Flowchart7 objects

Mathematics

Mathematics · L1 · Simple Multiplication · flowchart

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Mathematics · L1 · Simple Multiplication · flowchart

Flashcards8 cards

What does the > symbol mean?1 / 8

"Greater than." The number on the wide open side is the bigger one. 8 > 3 means 8 is greater than 3.

Mathematics

Mathematics · L1 · Comparing & Ordering Numbers

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Mathematics · L1 · Comparing & Ordering Numbers

Flowchart14 objects

Mathematics

Mathematics · L3 · Logic & Truth Tables

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Mathematics · L3 · Logic & Truth Tables

Flashcards8 cards

What does 'capacity' mean?1 / 8

Capacity is how much a container can hold — like how much water fits inside a cup or a bucket.

Mathematics

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

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

Flowchart5 objects

Mathematics

Mathematics · L1 · 3D Shapes & Symmetry · flowchart

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Mathematics · L1 · 3D Shapes & Symmetry · flowchart

Flowchart9 objects

Mathematics

Mathematics · L1 · How to Measure Length with a Ruler

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Mathematics · L1 · How to Measure Length with a Ruler

Flowchart11 objects

Mathematics

Mathematics · L1 · Symmetry & Reflection

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Mathematics · L1 · Symmetry & Reflection

Flowchart10 objects

Mathematics

Mathematics · L3 · Introduction to Matrices · flowchart

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Mathematics · L3 · Introduction to Matrices · flowchart

Flowchart5 objects

Mathematics

Mathematics · L2 · Surface Area of Prisms & Pyramids · flowchart

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Mathematics · L2 · Surface Area of Prisms & Pyramids · flowchart

Flowchart12 objects

Mathematics

Mathematics · L2 · Surface Area of Prisms & Pyramids · flowchart

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Mathematics · L2 · Surface Area of Prisms & Pyramids · flowchart

Note~213 words · 1 min

Pick the chart that fits the question A graph turns numbers into a picture. The wrong picture hides the pattern. Every graph needs three things Reading a scatter plot Each dot is one thing measured twice. No line is drawn for you. Look at t

Mathematics

Mathematics · L2 · Reading and Making Graphs

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Mathematics · L2 · Reading and Making Graphs

Flowchart5 objects

Mathematics

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

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

Note~225 words · 1 min

Equal parts, or no fraction at all A whole is one complete thing: one pizza, one square, one apple. Cut it up and the pieces only count as fractions if they're all exactly the same size. Naming the parts In 1/4, the bottom number says how m

Mathematics

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

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

Note~259 words · 1 min

One rulebook, so everyone gets the same answer Without an agreed order, the same expression would have several defensible answers. PEMDAS is the agreement. Why order changes the answer Take 3 + 4 × 2. Now one with an exponent, 5 + (6 − 2)²:

Mathematics

Mathematics · L2 · Order of Operations

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Mathematics · L2 · Order of Operations

Flashcards9 cards

What is a proposition in logic?1 / 9

A proposition is a statement that is definitely true or definitely false, but not both. "7 is a prime number" is a proposition (it's true). "What time is it?" is not a proposition — questions don't have a truth value.

Mathematics

Mathematics · L3 · Logic & Truth Tables

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Mathematics · L3 · Logic & Truth Tables

Flowchart7 objects

Mathematics

Mathematics · L3 · Law of Sines & Cosines · flowchart

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Mathematics · L3 · Law of Sines & Cosines · flowchart

Note~227 words · 1 min

Volume: how much fits inside A fish tank 40 cm by 20 cm by 25 cm holds 40 × 20 × 25 = 20,000 cm³. Since 1000 cm³ is a litre, that's 20 litres of water to fill it. Surface area: unfold it flat Imagine cutting along the box's edges and flatte

Mathematics

Mathematics · L2 · Volume & Surface Area of Prisms

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Mathematics · L2 · Volume & Surface Area of Prisms

Flowchart7 objects

Mathematics

Mathematics · L3 · Piecewise Functions & Step Functions · flowchart

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Mathematics · L3 · Piecewise Functions & Step Functions · flowchart

Flowchart11 objects

Mathematics

Mathematics · L5 · Central Limit Theorem: Convergence to Normality

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Mathematics · L5 · Central Limit Theorem: Convergence to Normality

Note~176 words · 1 min

Words that show order When something happens in steps, like getting dressed or telling a story, special words show the order: first, next, then, after that, and last. Before and after These describe how two events relate. If socks come befo

Mathematics

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

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

Flashcards6 cards

What is the domain of f(x) = √(x − 3)?1 / 6

The square root requires x − 3 ≥ 0, so x ≥ 3. Domain: [3, ∞).

Mathematics

Mathematics · L3 · Functions & Transformations

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Mathematics · L3 · Functions & Transformations

Quiz5 questions

Look at this pattern: 🔴🔵🔴🔵🔴🔵__. What colour comes next?

ARedBBlueCGreenDYellow

Mathematics

Mathematics · L1 · Patterns: Repeating & Growing

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Mathematics · L1 · Patterns: Repeating & Growing

Flashcards12 cards

Write the simple linear regression model.1 / 12

Y = β₀ + β₁X + ε, where β₀ is the intercept, β₁ is the slope, and ε ~ N(0, σ²) is the error. OLS estimates β̂₀ and β̂₁ minimise the sum of squared residuals Σ(yᵢ − ŷᵢ)².

Mathematics

Mathematics · L4 · Regression & Predictive Modelling

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Mathematics · L4 · Regression & Predictive Modelling

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