Math Words That Start With S: Definitions, Examples & Visual Guide for Students
The letter S is a powerhouse in mathematics. It covers everything from basic shapes like Squares to complex concepts like Statistics and movement calculations like Slope.
Instead of a messy list, we’ve organized the content by category—so you can quickly learn, visualize, and apply “S” math words.
The “Must-Know” S Math Words
Slope
Definition: Slope is the steepness or incline of a line.
Formula/Notation:
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Suitable for students worldwide, from grades 1 to 12.
Get started free! ![Rendered by QuickLaTeX.com \[m = frac{y_2 - y_1}{x_2 - x_1}\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxOTgiIGhlaWdodD0iMTciIHZpZXdCb3g9IjAgMCAxOTggMTciPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
Real-World Example: The slope determines how steep a wheelchair ramp must be for safety.
Surface Area
Definition: Surface area is the total area covering the outside of a 3D shape.
Formula/Notation (example for a rectangular prism):
![Rendered by QuickLaTeX.com \[SA = 2(lw + lh + wh)\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxODIiIGhlaWdodD0iMTkiIHZpZXdCb3g9IjAgMCAxODIgMTkiPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
Real-World Example: Calculating how much paint is needed to cover a box.
Scientific Notation
Definition: Scientific notation expresses very large or small numbers using powers of ten.
Example:
![Rendered by QuickLaTeX.com \[6.02 times 10^{23}\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMTMiIGhlaWdodD0iMTgiIHZpZXdCb3g9IjAgMCAxMTMgMTgiPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
Real-World Example: Used by scientists to record extremely large values like atoms in a mole.
System of Equations
Definition: A system of equations is a set of two or more equations with the same variables.
Example (linear system):
![Rendered by QuickLaTeX.com \[begin{cases} x + y = 10\ 2x - y = 3 end{cases}\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzNDMiIGhlaWdodD0iMTciIHZpZXdCb3g9IjAgMCAzNDMgMTciPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
Real-World Example: Solving for quantities of two products that together meet certain costs and totals.
Operations & Algebra S Math Words
Simplify
Example:
![Rendered by QuickLaTeX.com \[3x + 2x = 5x\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMDgiIGhlaWdodD0iMTUiIHZpZXdCb3g9IjAgMCAxMDggMTUiPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
Square Root
Example:
![Rendered by QuickLaTeX.com \[sqrt{25} = 5\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI4NyIgaGVpZ2h0PSIxNyIgdmlld0JveD0iMCAwIDg3IDE3Ij48cmVjdCB3aWR0aD0iMTAwJSIgaGVpZ2h0PSIxMDAlIiBzdHlsZT0iZmlsbDojY2ZkNGRiO2ZpbGwtb3BhY2l0eTogMC4xOyIvPjwvc3ZnPg==)
Substitution
Example:
If x=3x = 3x=3, then
![Rendered by QuickLaTeX.com \[2x + 5 = 2(3) + 5 = 11\]](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxODUiIGhlaWdodD0iMTkiIHZpZXdCb3g9IjAgMCAxODUgMTkiPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
Mnemonic Device for Sine
Sine = Opposite/Hypotenuse (SOH)
Memory Tip: “Silly Octopus Hops” = Sine = Opposite/Hypotenuse
Math Words that Start with S Chart (with Pinyin& Chinese)
| English Term | Chinese 中文 | Pinyin | English Explanation (Concise) | Grade Level (US) |
|---|---|---|---|---|
| Slope | 斜率 | xié lǜ | The measure of how steep a line is on a graph. | 7–9 |
| Square | 正方形 | zhèng fāng xíng | A shape with four equal sides and four right angles. | 3–5 |
| Square Root | 平方根 | píng fāng gēn | A number that produces another number when multiplied by itself. | 6–8 |
| Surface Area | 表面积 | biǎo miàn jī | Total area of all faces of a 3D object. | 6–10 |
| System of Equations | 方程组 | fāng chéng zǔ | Two or more equations solved together to find shared solutions. | 8–12 |
| Scientific Notation | 科学记数法 | kē xué jì shù fǎ | A way to write very large or small numbers using powers of ten. | 7–10 |
| Scalene Triangle | 不等边三角形 | bù děng biān sān jiǎo xíng | A triangle with no equal sides. | 4–6 |
| Sector | 扇形 | shàn xíng | A “slice” of a circle formed by two radii and an arc. | 6–8 |
| Segment (Line Segment) | 线段 | xiàn duàn | Part of a line with two endpoints. | 3–5 |
| Similar Figures | 相似图形 | xiāng sì tú xíng | Figures with the same shape but different sizes. | 7–9 |
| Sphere | 球体 | qiú tǐ | A perfectly round 3D object with all points equidistant from its center. | 3–6 |
| Symmetry | 对称 | duì chèn | When a figure can be folded into matching halves. | 3–5 |
| Sample | 样本 | yàng běn | A smaller group selected from a population for study. | 6–8 |
| Scatter Plot | 散点图 | sàn diǎn tú | A graph that shows the relationship between two variables. | 7–9 |
| Standard Deviation | 标准差 | biāo zhǔn chā | A measure of how spread out data values are. | 9–12 |
| Stem-and-Leaf Plot | 茎叶图 | jìng yè tú | A way to organize data by place value. | 5–7 |
| Simplify | 化简 | huà jiǎn | To reduce an expression to its basic form. | 6–8 |
| Solution | 解/答案 | jiě / dá àn | A value that makes an equation or inequality true. | 3–12 |
| Substitution | 代入法 | dài rù fǎ | Replacing a variable with a number or expression. | 7–9 |
| Sum | 和 | hé | The result of adding numbers. | 1–3 |
| Sine | 正弦 | zhèng xián | A trigonometric ratio: opposite side divided by hypotenuse. | 9–12 |
| Supplementary Angles | 互补角 | hù bǔ jiǎo | Two angles whose measures add up to 180 degrees. | 6–8 |
| Sequence | 数列 | shù liè | An ordered list of numbers that follow a rule. | 7–9 |
| Series | 级数 | jí shù | The sum of the terms in a sequence. | 9–12 |
| Set | 集合 | jí hé | A group of distinct objects or numbers. | 6–9 |
Conclusion
“S” in math is packed with critical concepts—from Slope to Statistics, and from Shapes to Simplifying expressions. Practicing these terms builds both confidence and problem-solving skills.
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Math Vocabulary A–Z Word Lists
Discovering the maths whiz in every child,
that’s what we do.
Suitable for students worldwide, from grades 1 to 12.
Get started free!
Graduated from the University of New South Wales. He has over 8 years of experience teaching elementary and high school mathematics and science. As a rigorous and steady mathematics teacher, Nathan has always been well received by students 1-12 grades.
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