English Vocabulary · Grade 10 Live Review Preview

10th Grade Vocabulary Words

Tenth-grade reading asks learners to move confidently among literary analysis, argument, source evaluation, laboratory science, mathematics, computing, history, economics, psychology, philosophy, and the arts. This level emphasizes precise academic language, disciplinary meanings, connotation, word relationships, and the ability to interpret unfamiliar vocabulary in demanding context.

This independently authored 800-word beta curriculum is arranged in twenty-three pages of up to thirty-five words. Pages containing words 1–500 include five cloze questions drawn only from that enhanced range; words 501–800 remain fully visible and editable as list pages while expanded practice is developed. Every row includes an editable subject-field label and a conservative word-study note about transparent affixes, compound structure, capitalization, or dictionary base forms. The cited sources calibrate range and difficulty only; all learner-facing definitions, examples, quizzes, and descriptions are original KSSR copy.

Please note: the vocabulary lists for grades 9~11 have been selected to ensure no overlap with the previous grade level. If the words are too specialized or difficult for you, please go back to grade levels 4~8 and review the words on those pages.

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Words 421–455 of 800
#	Word	Details	Meaning	Sample sentence
421	exponential equation	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: exponential + equation. Study the complete expression as one field-specific unit.	指数方程式	Taking logarithms helped solve the exponential equation.
422	logarithm	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: logarithm is the dictionary headword; compare its inflected or derived forms in context.	対数	The base-ten logarithm of one thousand is three.
423	logarithmic function	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: logarithmic + function. Study the complete expression as one field-specific unit.	対数関数	The logarithmic function increases slowly as its input grows.
424	common logarithm	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: common + logarithm. Study the complete expression as one field-specific unit.	常用対数	The common logarithm of one hundred is two.
425	natural logarithm	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: natural + logarithm. Study the complete expression as one field-specific unit.	自然対数	The natural logarithm appears in continuous growth models.
426	logarithmic property	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: logarithmic + property. Study the complete expression as one field-specific unit.	対数特性	A logarithmic property changes the logarithm of a product into a sum.
427	change-of-base formula	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: change + of + base + formula. Study the complete expression as one field-specific unit.	塩基交換式	The change-of-base formula lets the calculator evaluate a base-seven logarithm.
428	exponential model	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: exponential + model. Study the complete expression as one field-specific unit.	指数モデル	The exponential model predicts bacterial growth under stable conditions.
429	angle measure	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: angle + measure. Study the complete expression as one field-specific unit.	角度測定	The angle measure can be expressed in degrees or radians.
430	degree measure	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: degree + measure. Study the complete expression as one field-specific unit.	程度の尺度	A right angle has a degree measure of ninety.
431	radian measure	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: radian + measure. Study the complete expression as one field-specific unit.	ラジアン単位	A half rotation has a radian measure of pi.
432	unit circle	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: unit + circle. Study the complete expression as one field-specific unit.	単位円	Coordinates on the unit circle give cosine and sine values.
433	reference angle	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: reference + angle. Study the complete expression as one field-specific unit.	基準角度	The reference angle helps determine the trigonometric values in any quadrant.
434	terminal side	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: terminal + side. Study the complete expression as one field-specific unit.	端子側	The terminal side of 120 degrees lies in the second quadrant.
435	coterminal angle	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: coterminal + angle. Study the complete expression as one field-specific unit.	共端子角	Thirty degrees and 390 degrees are a coterminal angle pair.
436	sine	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: sine is the dictionary headword; compare its inflected or derived forms in context.	1. サイン 2. 正弦	The sine of thirty degrees is one half.
437	cosine	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: cosine is the dictionary headword; compare its inflected or derived forms in context.	1. コサイン 2. 余弦	The cosine of sixty degrees is one half.
438	tangent	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: tangent is the dictionary headword; compare its inflected or derived forms in context.	接線	The tangent of forty-five degrees equals one.
439	cosecant	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: cosecant is the dictionary headword; compare its inflected or derived forms in context.	1. 余割 2. コセカント	The cosecant is undefined when sine equals zero.
440	secant	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: secant is the dictionary headword; compare its inflected or derived forms in context.	割線	The secant of sixty degrees equals two.
441	cotangent	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Base-form focus: cotangent is the dictionary headword; compare its inflected or derived forms in context.	1. コタンジェント 2. 余接	The cotangent of forty-five degrees equals one.
442	trigonometric identity	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: trigonometric + identity. Study the complete expression as one field-specific unit.	三角恒等式	The equation sine squared x plus cosine squared x equals one is a trigonometric identity.
443	Pythagorean identity	proper noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: Pythagorean + identity. Study the complete expression as one field-specific unit.	ピタゴラス的アイデンティティ	The basic Pythagorean identity relates sine squared and cosine squared.
444	law of sines	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: law + of + sines. Study the complete expression as one field-specific unit.	正弦の法則	The law of sines found the missing side from two angles and one side.
445	law of cosines	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: law + of + cosines. Study the complete expression as one field-specific unit.	余弦の法則	The law of cosines found the third side when two sides and the included angle were known.
446	periodic function	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: periodic + function. Study the complete expression as one field-specific unit.	周期関数	Sine is a periodic function with period two pi.
447	phase shift	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: phase + shift. Study the complete expression as one field-specific unit.	位相シフト	The cosine graph has a phase shift of pi over two to the right.
448	random variable	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: random + variable. Study the complete expression as one field-specific unit.	確率変数	The number of rainy days this week is a random variable.
449	discrete random variable	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: discrete + random + variable. Study the complete expression as one field-specific unit.	離散確率変数	The number rolled on a die is a discrete random variable.
450	continuous random variable	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: continuous + random + variable. Study the complete expression as one field-specific unit.	連続確率変数	Exact rainfall depth is a continuous random variable.
451	probability distribution	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: probability + distribution. Study the complete expression as one field-specific unit.	確率分布	The probability distribution shows that seven is the most likely sum of two dice.
452	expected value	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: expected + value. Study the complete expression as one field-specific unit.	希望	The game's expected value is negative for the player.
453	binomial distribution	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: binomial + distribution. Study the complete expression as one field-specific unit.	二項分布	The binomial distribution models heads in twenty fair coin tosses.
454	geometric distribution	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: geometric + distribution. Study the complete expression as one field-specific unit.	幾何分布	The geometric distribution models how many rolls occur before the first six.
455	sampling distribution	noun Study Field: Grade 10 mathematics, statistics, and computing term Word study: Term structure: sampling + distribution. Study the complete expression as one field-specific unit.	サンプリング分布	The sampling distribution of the mean becomes narrower as sample size increases.

Vocabulary reading and practice

Angles, Samples, and Limits

Reading practice for pages 13–15. Five relevant words are highlighted.

English reading

A trigonometric identity is true for every angle in its domain; the Pythagorean identity is a familiar example. An angle may be expressed with degree measure or radian measure without changing its physical size. In statistics, a sampling distribution is different: it describes how a statistic varies across many possible samples.

Japanese translation

A reviewed translation is not available for this passage yet.

Reading comprehension

1. What is a Pythagorean identity?

It is a kind of trigonometric identity.

2. Do degree and radian measure change an angle's size?

No, they are different units for the same angle.

3. What does a sampling distribution describe?

It describes variation in a statistic across samples.

Vocabulary quiz

Choose the dictionary equivalent for each of 5 selected words.

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Sources and curriculum references

These references guide selection and calibration. Definitions, sample sentences, readings, questions, and teaching notes are independently written and reviewed.

10th Grade Vocabulary Words

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