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

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Mathematics: explore STEM content (page 9 of 23) · openstem

Note~231 words · 1 min

Two groups, one question Some word problems describe two groups and then ask you to compare them. The clue words are "how many more" and "how many fewer". Sam has 8 stickers, Ana has 5. How many more does Sam have? There are two amounts, an

Mathematics

Mathematics · L1 · Comparison Word Problems: More & Fewer

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Mathematics · L1 · Comparison Word Problems: More & Fewer

Flowchart19 objects

Mathematics

Mathematics · L5 · Complex Analysis: From Holomorphicity to Residues

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Mathematics · L5 · Complex Analysis: From Holomorphicity to Residues

Flowchart21 objects

Mathematics

Mathematics · L5 · Proof Techniques at Scale

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Mathematics · L5 · Proof Techniques at Scale

Flowchart5 objects

Mathematics

Mathematics · L3 · Rational Functions & Asymptotes · flowchart

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Mathematics · L3 · Rational Functions & Asymptotes · flowchart

Flashcards8 cards

What is a fact family?1 / 8

A fact family is a group of three numbers and the addition and subtraction facts you can make from them. For 4, 5, and 9, the fact family is 4+5=9, 5+4=9, 9-4=5, and 9-5=4.

Mathematics

Mathematics · L1 · Fact Families & Related Facts

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Mathematics · L1 · Fact Families & Related Facts

Flowchart15 objects

Mathematics

Mathematics · L3 · Sketching a Transformed Sine Graph

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Mathematics · L3 · Sketching a Transformed Sine Graph

Flowchart13 objects

Mathematics

Mathematics · L3 · Complex Number Operations

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Mathematics · L3 · Complex Number Operations

Note~239 words · 1 min

Words that say where In front of and behind In a line at school, the person in front of you is nearer the front and the person behind is nearer the back. One thing can be described several ways at once. A dog can be behind a tree, hidden on

Mathematics

Mathematics · L1 · Position & Direction Words

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Mathematics · L1 · Position & Direction Words

Quiz5 questions

12 cookies are shared equally among 4 friends. How many cookies does each friend get?

A2B3C4D6

Mathematics

Mathematics · L1 · Simple Division

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Mathematics · L1 · Simple Division

Note~203 words · 1 min

A good guess, on purpose Sometimes you don't need the exact number. Estimating means looking at a group and deciding ABOUT how many there are, without counting each one. Benchmark numbers A benchmark is a number you know well by sight. Pict

Mathematics

Mathematics · L1 · Estimating & Benchmark Numbers

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Mathematics · L1 · Estimating & Benchmark Numbers

Note~380 words · 2 min

The vectors a matrix doesn't turn Most vectors get rotated and stretched by a matrix. A few only get stretched. Those are the eigenvectors, and the stretch factor is the eigenvalue. Finding them For a 2×2 matrix the characteristic polynomia

Mathematics

Mathematics · L4 · Eigenvalues and eigenvectors

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Mathematics · L4 · Eigenvalues and eigenvectors

Plot1 plot · 2 params

Mathematics

Mathematics · L3 · The Sine Wave: y = a·sin(b·x)

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Mathematics · L3 · The Sine Wave: y = a·sin(b·x)

Quiz2 questions

You roll a fair 6-sided die. What is the chance of rolling an even number?

A1/6B1/3C1/2D2/3

Mathematics

Mathematics · L2 · Simple Probability

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Mathematics · L2 · Simple Probability

Flashcards10 cards

State the three Kolmogorov axioms of probability.1 / 10

1) P(A) ≥ 0 for all events A. 2) P(Ω) = 1 (the sample space has probability 1). 3) For mutually exclusive events: P(A₁ ∪ A₂ ∪ …) = ΣP(Aᵢ). All other probability rules follow from these.

Mathematics

Mathematics · L4 · Probability Foundations

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Mathematics · L4 · Probability Foundations

Note~298 words · 1 min

Why you need new formulas The Pythagorean identity relates sin and cos of the SAME angle. It says nothing about sin(45° + 30°). The sum and difference formulas The cosine sign flip is the detail most people misremember. Sine keeps your sign

Mathematics

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

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

Quiz6 questions

For y = 5·sin(3x), what are the amplitude and period?

AAmplitude 5, period 2π/3BAmplitude 3, period 2π/5CAmplitude 5, period 3DAmplitude 15, period 2π

Mathematics

Mathematics · L3 · Graphing Trig Functions

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Mathematics · L3 · Graphing Trig Functions

Note~304 words · 2 min

A system is two conditions at once Two equations, same variables. A solution has to satisfy BOTH. Each equation is a line. The solution is where they cross, so solving algebraically just finds that crossing point without drawing. Substituti

Mathematics

Mathematics · L3 · Systems of Linear Equations

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Mathematics · L3 · Systems of Linear Equations

Flowchart13 objects

Mathematics

Mathematics · L3 · Recursive Sequences & Fibonacci

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Mathematics · L3 · Recursive Sequences & Fibonacci

Flashcards10 cards

What two things must you prove to show a statement P(n) is true for every natural number n?1 / 10

Mathematics

Mathematics · L3 · Mathematical Induction

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Mathematics · L3 · Mathematical Induction

Flowchart8 objects

Mathematics

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

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

Flowchart7 objects

Mathematics

Mathematics · L1 · Measuring Length & Weight · flowchart

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Mathematics · L1 · Measuring Length & Weight · flowchart

Flowchart5 objects

Mathematics

Mathematics · L3 · Introduction to Matrices · flowchart

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Mathematics · L3 · Introduction to Matrices · flowchart

Flowchart5 objects

Mathematics

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

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

Note~189 words · 1 min

Four words for how likely Some things always happen. Some never do. Most are somewhere in between, and four words cover the whole range. Sorting everyday events Putting events in order Start with the ones that can never happen, then the one

Mathematics

Mathematics · L1 · Likely, Unlikely, Certain

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Mathematics · L1 · Likely, Unlikely, Certain

Flashcards8 cards

State the sum formula for an arithmetic series of n terms with first term a₁ and last term aₙ.1 / 8

Sum of the first n terms:

Mathematics

Mathematics · L3 · Arithmetic & Geometric Series

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Mathematics · L3 · Arithmetic & Geometric Series

Flowchart9 objects

Mathematics

Mathematics · L1 · Number Lines & Rounding to Ten

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Mathematics · L1 · Number Lines & Rounding to Ten

Note~350 words · 2 min

Mod is the remainder For a whole number a and a positive n, a mod n is what's left over after dividing. It always lands between 0 and n − 1. The clock is the picture A 12-hour clock counts to 12 then wraps back to 1. Adding hours is additio

Mathematics

Mathematics · L3 · Modular Arithmetic

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Mathematics · L3 · Modular Arithmetic

Flashcards8 cards

What form does a two-step equation take, and what does that mean?1 / 8

A two-step equation looks like ax + b = c — a number multiplied by x, plus or minus another number, equals a total. To solve it you make exactly two moves: undo the addition or subtraction first, then undo the multiplication or division.

Mathematics

Mathematics · L2 · Two-Step Equations & Inequalities

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Mathematics · L2 · Two-Step Equations & Inequalities

Flowchart18 objects

Mathematics

Mathematics · L2 · Factors, Multiples & Primes · flowchart

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Mathematics · L2 · Factors, Multiples & Primes · flowchart

Flashcards8 cards

What does it mean to cut a shape into 'equal parts'?1 / 8

Every part must be the exact same size as every other part. If the parts are different sizes, they are not equal parts.

Mathematics

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

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

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