MTEL Mathematics Flashcards
MTEL Mathematics Flashcards: a free, printable set covering the topics you will see on the test, with answer keys included, so you can practice each topic one skill at a time and check your own work before test day.
Free MTEL Mathematics review
Lock in every key MTEL Mathematics formula, term, and concept with a free, interactive flashcard deck covering number theory, algebra and functions, exponential and logarithmic, trigonometry, analytic geometry, sequences and discrete, calculus: derivatives, calculus: integrals, probability and statistics, linear algebra and matrices.
Each card shows the rule or definition, a short explanation, and many include a quick diagram. Flip a card, filter by topic or card type, shuffle, and mark what you know so the cards you miss come back for review.
95flashcards
11topics covered
13cards with a diagram
Freeonline, progress saved
What These MTEL Mathematics Flashcards Cover
This free deck collects the formulas, key terms, and concepts students use across the whole MTEL Mathematics course, organized into 11 topics. Use the dropdown to study one topic at a time, or shuffle the full deck for mixed review before a test.
| Topic | Cards | What students review |
|---|---|---|
| Number Theory | 9 cards | Prime number, Fundamental theorem of arithmetic, GCD and LCM relationship, Modular arithmetic. |
| Algebra & Functions | 12 cards | Function, Domain and range, Function composition, Inverse function. |
| Exponential & Logarithmic | 6 cards | Exponent laws, Definition of a logarithm, Logarithm properties, Change of base. |
| Trigonometry | 10 cards | Sine, cosine, tangent, the unit circle, special triangles. |
| Analytic Geometry | 8 cards | Distance formula, Midpoint formula, Slope and line forms, Equation of a circle. |
| Sequences & Discrete | 8 cards | Arithmetic sequence, Arithmetic series, Geometric sequence, Geometric series. |
| Calculus: Derivatives | 12 cards | Limit, Continuity, Definition of the derivative, Power rule. |
| Calculus: Integrals | 8 cards | Power rule for integration, Definite integral, Fundamental theorem of calculus, Common antiderivatives. |
| Probability & Statistics | 10 cards | Measures of center, Spread: range, variance, SD, Probability of an event, Addition rule. |
| Linear Algebra & Matrices | 8 cards | Matrix addition and scalar multiples, Matrix multiplication, Identity matrix, Determinant of a 2×2. |
| Test Facts | 4 cards | Test format, question types, and calculator policy. |
Jump to a Topic
Number TheoryAlgebra & FunctionsExponential & LogarithmicTrigonometryAnalytic GeometrySequences & DiscreteCalculus: DerivativesCalculus: IntegralsProbability & StatisticsLinear Algebra & MatricesTest Facts
Number Theory
9 cards. This topic covers Prime number, Fundamental theorem of arithmetic, GCD and LCM relationship, Modular arithmetic, Rational vs. irrational, and Imaginary unit.
Algebra & Functions
12 cards. This topic covers Function, Domain and range, Function composition, Inverse function, Quadratic formula, and Discriminant.
Exponential & Logarithmic
6 cards. This topic covers Exponent laws, Definition of a logarithm, Logarithm properties, Change of base, Exponential growth and decay, and The number e.
Trigonometry
10 cards. The sine, cosine, and tangent ratios, the unit circle, special right triangles, and basic trig identities.
Analytic Geometry
8 cards. This topic covers Distance formula, Midpoint formula, Slope and line forms, Equation of a circle, Parabola, and Ellipse and hyperbola.
Sequences & Discrete
8 cards. This topic covers Arithmetic sequence, Arithmetic series, Geometric sequence, Geometric series, Binomial theorem, and Permutations.
Calculus: Derivatives
12 cards. This topic covers Limit, Continuity, Definition of the derivative, Power rule, Product rule, and Quotient rule.
Calculus: Integrals
8 cards. This topic covers Power rule for integration, Definite integral, Fundamental theorem of calculus, Common antiderivatives, u-substitution, and Area between curves.
Probability & Statistics
10 cards. This topic covers Measures of center, Spread: range, variance, SD, Probability of an event, Addition rule, Multiplication rule, and Conditional probability.
Linear Algebra & Matrices
8 cards. This topic covers Matrix addition and scalar multiples, Matrix multiplication, Identity matrix, Determinant of a 2×2, Inverse of a 2×2, and Solving systems with matrices.
Test Facts
4 cards. Quick facts about the MTEL Mathematics test, the math question types, and the calculator policy.
How to Use These MTEL Mathematics Flashcards
1
Pick one topic
Use the topic dropdown instead of facing all 95 cards at once. Start with the topics you find hardest.
2
Flip, then mark
Read the front, say the rule or definition out loud, then flip. Mark Know it only when you can explain it, not just recognize it.
3
Practice right away
After a set, solve a few problems that use those rules. Flashcards build recall; worked practice turns them into test-day tools.
Best Order for Studying
If the deck feels like a lot, study the foundational topics first, such as numbers, fractions and percents, and exponents, then move on to algebra, geometry, and data, and review the test facts last. This moves from the skills every other topic builds on to the ones that appear in specific problem types.
Most Important Formulas and Facts to Know First
- Order of operations: the sequence that keeps every calculation consistent.
- Exponent rules: product, quotient, power, zero, and negative exponents.
- Fraction operations: and converting between fractions, decimals, and percents.
- Percent of a number and percent of change: the backbone of word problems.
- Slope and slope-intercept form: for reading and writing linear graphs.
- Area, perimeter, and volume: the core geometry formulas.
- The Pythagorean theorem: for right triangles and distance.
- Factoring and the quadratic formula: for solving quadratics.
- Mean, median, mode, and range: the four measures that summarize data.
- Probability of an event: favorable outcomes over total outcomes.
Common Mistakes These Cards Help Fix
- Ignoring order of operations and simply working left to right.
- Adding or subtracting fractions without a common denominator.
- Confusing area with perimeter, or surface area with volume.
- Flipping an inequality sign at the wrong time, instead of only when multiplying or dividing by a negative.
- Mixing up mean, median, and mode.
- Treating a negative exponent as a negative number instead of a reciprocal.
- Applying the Pythagorean theorem to triangles that are not right triangles.
Frequently Asked Questions
How do you make math flashcards?
Make math flashcards by putting a clear prompt on the front, such as “derivative of sin x,” and the answer on the back, cos x, with a one-line example. For the MTEL Mathematics test, focus your own cards on rules you keep forgetting, since the free deck already covers 95 core formulas, terms and concepts across 11 topics.
How do you use math flashcards effectively?
To use math flashcards effectively, test yourself instead of rereading. Cover the answer, recall it, then flip and check. Spread review over many days, because spaced practice sticks better than cramming. With the MTEL Mathematics deck, cards you mark as “review again” come back later, so your time goes to weak spots like integrals or matrices.
How do you use math flash cards?
Use math flash cards one topic at a time. Pick a topic such as sequences and series, flip each card after predicting the answer, and mark whether you knew it. Then shuffle the whole MTEL Mathematics deck for mixed review, because the real exam jumps between calculus, geometry and statistics without warning.
How do you make math cards that help with problem solving?
Make math cards that help with problem solving by adding a short worked example to each rule. For example, under the geometric series formula S = a(1 − rⁿ)/(1 − r), add: for 3 + 6 + 12 + 24, a = 3, r = 2, n = 4, so S = 3(1 − 16)/(1 − 2) = 45. Examples like this show when and how to use each rule on the MTEL.
Explore more free review tools in our math flashcards hub.
Related to This Article
More math articles
- 7th Grade MCAS Math Worksheets: FREE & Printable
- The Best Grade 6 ELA Practice Tests for Oklahoma Students
- Second-Wave Feminism: Family Change, the ERA and Roe
- Top 10 Tips to Create an ACCUPLACER Math Study Plan
- Convert Standard Form to Slope-Intercept Form: Steps and Examples
- Presidential relations with Congress
- Washington SBAC Grade 8 Math Free Worksheets: 72 Free Printable Worksheets with Step-by-Step Keys
- How to Use Pythagorean Theorem Converse: Is This a Right Triangle?
- Words for Work, Society, Science, and Health
- Congressional limits on the executive
What people say about "MTEL Mathematics Flashcards: Free Online Practice"?
No one replied yet.