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die Steigung

B1 noun 10 min read

die Steigung

an upward slope or gradient; incline

At the A1 level, you only need to know that 'die Steigung' means a hill or a road that goes up. Think of it as 'the up-part' of a road. You might hear it when people talk about hiking or cycling. It is a feminine noun (die). A simple sentence would be: 'Die Steigung ist schwer.' (The hill is hard). You don't need to worry about percentages or math yet. Just remember that it comes from 'steigen' (to go up/climb). If you are walking and the ground starts to go up, that is a Steigung. It is the opposite of 'Gefälle' (going down), but at A1, just focusing on 'Steigung' as 'uphill' is enough. You might see it on signs while traveling in Germany. It’s a good word to know if you like walking in nature. Remember: die Steigung, eine Steigung. It ends in -ung, so it is always feminine. This is a very helpful rule for beginners!

At the A2 level, you can start using 'die Steigung' to describe your environment more accurately. You should know that it refers to an incline or an upward slope. You can use it with simple adjectives like 'stark' (strong/steep) or 'leicht' (easy/slight). For example: 'Die Straße hat eine starke Steigung.' (The road has a steep incline). You will also encounter it in the context of sports, such as on a treadmill (Laufband). You might say, 'Ich trainiere mit einer Steigung.' (I am training with an incline). It is also useful for describing bike tours or walks. You should be able to understand traffic signs that show a percentage for a Steigung. At this level, you should also recognize the plural form 'die Steigungen'. If a path has many hills, you can say: 'Es gibt viele Steigungen auf diesem Weg.' This word helps you move beyond just saying 'der Berg' (the mountain) to describing the actual path you are on.

At the B1 level, 'die Steigung' becomes a more versatile word. You are expected to use it in both physical and slightly more technical contexts. You should be able to describe a route in detail, perhaps for a travel blog or a conversation about a weekend trip. You can use phrases like 'eine Steigung bewältigen' (to conquer/manage an incline) or 'die Steigung unterschätzen' (to underestimate the incline). You should also be aware of its mathematical meaning, which you might encounter in professional or educational settings. In math, it is the 'slope' of a line. You should be comfortable using prepositions with it, such as 'bei einer Steigung von...' (at an incline of...). This level also requires you to distinguish it from 'Anstieg'. While 'Anstieg' is often used for rising prices or numbers, 'Steigung' is the physical gradient. Understanding this distinction makes your German sound much more natural and precise. You might also hear it in news reports about construction or accessibility (e.g., ramps for wheelchairs).

At the B2 level, you should use 'die Steigung' with technical precision. You will encounter it in specialized fields like engineering, architecture, and advanced mathematics. You should understand the concept of 'Steigungswinkel' (angle of inclination) and how it relates to physics and construction. For instance, you might discuss the 'maximale Steigung' a train can handle on a specific track. In your writing, you can use 'die Steigung' to describe graphs and trends in a professional manner. While 'Anstieg' is common for general trends, 'Steigung' is used when discussing the rate of change in a coordinate system. You should also be familiar with related terms like 'Gefälle' (downward slope) and 'Neigung' (tilt). In a professional context, you might say: 'Die Steigung der Kurve zeigt eine deutliche Beschleunigung des Prozesses.' This shows you can apply the word to abstract data. You should also be able to use the word in the genitive case: 'Aufgrund der Stärke der Steigung mussten wir umkehren.'

At the C1 level, your understanding of 'die Steigung' should include its most nuanced and technical applications. You should be able to use it in academic discussions about calculus (differential calculus), where 'Steigung' represents the derivative of a function at a specific point (die Steigung der Tangente). In engineering or urban planning, you might discuss 'Steigungsverhältnisse' (slope ratios) and their impact on infrastructure projects. Your vocabulary should include compound nouns like 'Steigungsleistung' (climbing performance) or 'Steigungswiderstand' (grade resistance). You should also be able to use the word metaphorically in high-level literature or analytical essays, though it remains primarily a physical and mathematical term. You can distinguish between 'Steigung' and 'Gradient' in scientific contexts, knowing that 'Gradient' often refers to a vector or a change in a field (like temperature or pressure). Your use of the word should be effortless, whether you are describing the topography of a region or the mathematical properties of a complex curve.

At the C2 level, you have a complete mastery of 'die Steigung' and its place within the German language's technical and descriptive hierarchy. You can use it in highly specialized scientific papers, legal documents regarding construction standards, or sophisticated literary descriptions. You understand the subtle differences between 'Steigung', 'Anstieg', 'Zunahme', 'Wachstum', and 'Gradient' and can choose the exact word to fit the register and context. You are familiar with historical uses or rare technical terms related to the word. In a mathematical sense, you can discuss 'infinitesimale Steigungen' without hesitation. In literature, you might use the word to create a precise image of a landscape that reflects a character's internal struggle. You can also analyze how the word is used in different German-speaking regions or technical disciplines (e.g., how civil engineers vs. pure mathematicians use it). Your command of the word allows you to explain its etymology from 'steigen' and how it fits into the broader family of Germanic words related to rising and climbing. You use the word with absolute grammatical and stylistic accuracy in any possible context.

Practice it Examples Notes & Tips

die Steigung in 30 Seconds

Die Steigung refers to an upward slope, incline, or mathematical gradient. It is a feminine noun commonly used in traffic, hiking, and mathematics.
It is measured in percent (%) for roads and Promille (‰) for railways, indicating how much the elevation rises over a horizontal distance.
Grammatically, it is 'die Steigung' (feminine) and follows standard declension rules. Common adjectives include 'stark', 'steil', and 'gering'.
In math, it represents the 'slope' (m) in linear equations. It is distinct from 'Anstieg' (general increase) and 'Gefälle' (downward slope).

The German noun die Steigung is a fundamental term used to describe the degree to which a surface, path, or mathematical line rises. At its most basic level, it refers to an upward slope or an incline. Imagine you are hiking in the Bavarian Alps; every time the path turns upward and requires more effort from your legs, you are encountering a Steigung. In everyday German, this word is ubiquitous in contexts involving geography, road traffic, architecture, and fitness. When you see a triangular traffic sign with a percentage like '12%', that is indicating the Steigung of the road ahead. It tells drivers and cyclists how much the elevation increases over a certain distance. This physical manifestation is the most common use of the word, but it is not the only one. The term is derived from the verb steigen (to climb or rise), and the suffix -ung turns that action into a measurable state or entity.

Physical Geography: In the context of landscapes, it describes hills, mountains, or any rising terrain. A 'starke Steigung' is a steep hill, while a 'leichte Steigung' is a gentle incline.
Mathematics and Physics: In geometry and calculus, die Steigung refers to the 'slope' or 'gradient' of a line or a curve. It represents the ratio of vertical change to horizontal change (rise over run).

Die Radfahrer hatten Mühe, die extreme Steigung des Passes zu bewältigen.

Beyond the physical and mathematical, die Steigung can occasionally be used to describe an upward trend in data, though words like Anstieg or Zunahme are often preferred for economic growth or temperature rises. However, if you are looking at a graph, the angle of the line is always its Steigung. For a learner, mastering this word is key to describing physical environments and technical data. It is a precise word; it doesn't just mean 'up', it means the rate or state of going up. You will hear it in gym settings when adjusting the 'incline' on a treadmill, in urban planning discussions regarding wheelchair accessibility (where the maximum Steigung of a ramp is strictly regulated), and in weather reports discussing rising air masses.

Die Steigung der Rampe darf sechs Prozent nicht überschreiten.

In summary, use die Steigung whenever you are talking about the steepness of a path or the gradient of a line. It is a technical yet common word that bridges the gap between everyday observation and scientific precision. Whether you are driving through the Black Forest or solving a linear equation, you are dealing with a Steigung.

Using die Steigung correctly requires understanding its grammatical behavior as a feminine noun and its typical collocations. Most often, it appears with adjectives that describe the intensity of the slope. Common adjectives include stark (strong/steep), steil (steep), gering (slight), or stetig (steady). For example, 'eine starke Steigung' describes a road that is very hard to climb. Grammatically, it follows the standard declension for feminine nouns: die Steigung (nominative), der Steigung (genitive/dative), and die Steigung (accusative). In the plural, it becomes die Steigungen.

With Prepositions: It is frequently paired with 'mit' to describe a specific measurement: 'eine Straße mit einer Steigung von 10%'. It also appears with 'an' when describing a location: 'An der Steigung wurde das Auto langsamer.'

Trotz der starken Steigung erreichte er den Gipfel in Rekordzeit.

In mathematical contexts, you will often use the verb berechnen (to calculate) or bestimmen (to determine) with Steigung. A typical sentence might be: 'Berechnen Sie die Steigung der Geraden im Koordinatensystem.' Here, the word acts as a precise technical term. In everyday speech, you might use it to complain about a bike route: 'Die Steigung war einfach zu viel für mich.' Notice how the word focuses on the property of the path rather than the act of climbing itself. If you want to talk about the act of going up, you would use the verb steigen or the noun Anstieg (which focuses more on the process of rising).

Wie groß ist die Steigung dieses Berges eigentlich?

Furthermore, die Steigung is often used in compound words, which is a hallmark of German sentence structure. Examples include Steigungswinkel (angle of inclination) or Steigungsstrecke (uphill section). In professional driving or logistics, you might hear about 'maximale Steigungsfähigkeit', which refers to the steepest slope a vehicle can handle. By integrating these variations, you can express complex ideas about movement and geography with a single root word. Always remember that while 'up' is a direction, 'Steigung' is the measurable quality of that 'upness'.

You will encounter die Steigung in several distinct environments in Germany, Austria, and Switzerland. The most common place is on the road. Germany's diverse landscape, from the flat north to the mountainous south, makes Steigung a key part of the driving experience. GPS systems and road signs frequently use the word to warn drivers of upcoming hills. If you are driving a heavy truck or towing a trailer, paying attention to the Steigung is a matter of safety, as it affects braking distance and engine power. In car reviews or technical manuals, you will read about a car's performance 'bei starker Steigung'.

In the Gym: When using a Laufband (treadmill), the 'incline' button is often labeled or referred to as Steigung. Personal trainers might tell you to 'die Steigung erhöhen' (increase the incline) to burn more calories.
Education: From the 7th grade onwards, German students spend a lot of time calculating the Steigung of linear functions (y = mx + b, where 'm' is the Steigung). It is a core term in 'Mathematikunterricht'.

Stellen Sie am Laufband eine Steigung von drei Prozent ein.

Another common setting is in railway engineering. Germany is famous for its 'Steilstrecken' (steep tracks). Railway enthusiasts and engineers often discuss the Steigung of tracks in 'Promille' (parts per thousand) rather than percent. For example, the 'Schwarzwaldbahn' is famous for its many loops designed to overcome a significant Steigung. In construction and architecture, specifically regarding 'Barrierefreiheit' (accessibility), the Steigung of ramps is a legal requirement. If a ramp is too steep, it doesn't meet the 'DIN-Norm'. You might hear an architect say, 'Wir müssen die Steigung verringern, damit der Zugang rollstuhlgerecht ist.'

Die Lokomotive hat bei dieser Steigung ordentlich zu kämpfen.

Finally, in more abstract contexts like economics or science, you might hear it during a presentation. While 'Anstieg' is more common for 'increase', a scientist might describe the 'Steigung der Kurve' in a graph showing the spread of a virus or the growth of a population. It implies a mathematical relationship between time and the variable being measured. In all these cases, the word brings a sense of measurement and physical reality to the concept of 'going up'.

One of the most frequent mistakes English speakers make is confusing die Steigung with der Anstieg or die Zunahme. While all three relate to things going up, they are used in different contexts. Steigung refers specifically to the gradient or slope of a physical surface or a mathematical line. Anstieg refers to the act of rising or an increase in amount (like 'der Anstieg der Preise' - the rise in prices). Zunahme is specifically for 'increase' in quantity or intensity (like 'die Zunahme der Bevölkerung' - the increase in population). Using Steigung to mean a general increase in numbers can sound technical or slightly off in a casual conversation.

Steigung vs. Gefälle: A common error is using Steigung for a downward slope. In German, a downward slope is das Gefälle. If you are going downhill, you are dealing with a Gefälle; if you are going uphill, it is a Steigung. Traffic signs distinguish between these two clearly.

Falsch: Die Steigung der Arbeitslosigkeit ist besorgniserregend. (Besser: Der Anstieg...)

Another mistake is with the gender and plural. Some learners mistakenly treat it as masculine because it feels 'strong' like a mountain, but it is strictly feminine. Remember: almost all German nouns ending in -ung are feminine. Also, be careful with the preposition. Learners often say 'Steigung in 10%', but the correct form is 'Steigung von 10%'. In mathematics, don't confuse Steigung with Winkel (angle). While they are related, the Steigung is a ratio (m), while the Winkel is measured in degrees.

Richtig: Die Straße hat eine gefährliche Steigung.

Lastly, avoid using steil (steep) as a noun. You cannot say 'die Steil'. You must say 'die Steilheit' (the steepness) or 'die Steigung' (the incline/slope). While 'Steilheit' focuses on the quality of being steep, 'Steigung' is the more common, measurable term used in most practical situations. If you are describing how hard a hill is, Steigung is almost always your best bet.

To enrich your German vocabulary, it is helpful to know words that are similar to die Steigung but carry different nuances. Depending on whether you are talking about nature, math, or abstract trends, you might choose a different term. The most direct antonym is das Gefälle, which refers to a downward slope. In many technical documents, you will see the phrase 'Steigung und Gefälle' used together to describe the topography of a route.

Der Anstieg: Often used interchangeably with Steigung in casual speech, but Anstieg usually implies the act of going up or an increase in value. You would say 'ein steiler Anstieg' for a hill, but also 'ein Anstieg der Kosten'.
Die Neigung: This means 'tilt' or 'inclination'. While Steigung specifically means going up, Neigung is more neutral and refers to any angle relative to a horizontal or vertical plane. It is also used metaphorically for a 'tendency' or 'preference' (e.g., eine Neigung zu etwas haben).
Der Hang: This refers to the 'slope' or 'side' of a mountain or hill as a geographical feature. You don't 'calculate' a Hang; you walk on it or build a house on it.

Im Gegensatz zum sanften Hang war die Steigung der Straße extrem.

In a more technical or formal register, you might encounter der Gradient. This is used in meteorology (Druckgradient) or advanced mathematics and physics. It sounds much more scientific than Steigung. If you are talking about the steepness of a roof, you would use die Dachneigung. For a learner, the most important distinction is between Steigung (incline) and Steilheit (steepness). Use Steigung when you want to be objective or descriptive of the path, and Steilheit when you want to emphasize how difficult or vertical something feels.

Das Gefälle auf der anderen Seite des Berges ist weniger gefährlich als die Steigung.

By learning these alternatives, you can tailor your language to the specific situation. Whether you are describing a 'leichte Neigung' of a table or a 'massiver Anstieg' in oil prices, you now have the tools to be precise. Die Steigung remains your primary word for anything that physically or mathematically 'slopes up'.

How Formal Is It?

Formal

Neutral

Informal

Child friendly

Slang

Fun Fact

The suffix '-ung' was added in Early New High German to create a noun representing the state or measurement of the action 'steigen'.

Pronunciation Guide

UK /ˈʃtaɪ̯ɡʊŋ/

US /ˈʃtaɪ̯ɡʊŋ/

The stress is on the first syllable: STEI-gung.

Rhymes With

Neigung Eignung Beugung Zeugung Heizung Reizung Leitung Zeitung

Common Errors

Pronouncing 'St' as 'St' instead of 'Sht'.
Pronouncing 'ei' like 'ee' (it should be like 'eye').
Making the 'g' soft or silent.
Stress on the second syllable.
Pronouncing 'ung' as 'unk'.

Difficulty Rating

Reading 3/5

Easy to recognize in context, especially with numbers or percentages.

Writing 4/5

Requires knowledge of the -ung feminine rule and correct prepositions.

Speaking 3/5

Commonly used in travel and fitness; pronunciation of 'St' and 'ei' is key.

Listening 3/5

Clear pronunciation usually makes it easy to distinguish.

What to Learn Next

Prerequisites

steigen hoch der Berg die Straße steil

Learn Next

das Gefälle die Neigung der Anstieg die Ableitung (in math) bewältigen

Advanced

der Gradient die Böschung die Translation die Vektorrechnung

Grammar to Know

Nouns ending in -ung are always feminine.

die Steigung, die Heizung, die Meinung.

Genitive case for feminine nouns.

Die Stärke der Steigung (The strength of the incline).

Preposition 'von' for measurements.

Eine Steigung von 12%.

Adjective ending with feminine nouns in nominative.

Eine starke Steigung.

Compound noun formation (Noun + Noun).

Steigung + Winkel = der Steigungswinkel.

Examples by Level

Die Steigung ist sehr hoch.

The incline is very high.

Feminine noun 'die Steigung'.

Ich mag diese Steigung nicht.

I don't like this incline.

Accusative case: 'diese Steigung'.

Ist die Steigung gefährlich?

Is the incline dangerous?

Simple question structure.

Das Auto fährt die Steigung hoch.

The car is driving up the incline.

Verb 'fahren' with direction 'hoch'.

Hier gibt es keine Steigung.

There is no incline here.

Negation with 'keine'.

Die Steigung ist klein.

The incline is small.

Adjective 'klein' describing the noun.

Wir gehen die Steigung zu Fuß.

We are walking up the incline.

Phrase 'zu Fuß' (on foot).

Wo ist die Steigung?

Where is the incline?

Interrogative 'wo'.

Die Straße hat eine Steigung von zehn Prozent.

The road has an incline of ten percent.

Preposition 'von' used for measurements.

Mit dem Fahrrad ist die Steigung anstrengend.

With the bicycle, the incline is exhausting.

Adjective 'anstrengend' (exhausting).

Kannst du die Steigung am Laufband einstellen?

Can you set the incline on the treadmill?

Modal verb 'können'.

Nach der Steigung kommt eine Abfahrt.

After the incline comes a descent.

Preposition 'nach' takes the dative: 'der Steigung'.

Diese Steigung ist für Anfänger zu steil.

This incline is too steep for beginners.

Adjective 'steil' (steep).

Wir haben die Steigung unterschätzt.

We underestimated the incline.

Perfect tense: 'haben unterschätzt'.

Gibt es auf dem Weg viele Steigungen?

Are there many inclines on the path?

Plural form 'Steigungen'.

Die Steigung beginnt hinter der Brücke.

The incline begins behind the bridge.

Preposition 'hinter' (behind).

Die Wanderung war wegen der starken Steigung schwierig.

The hike was difficult because of the strong incline.

Preposition 'wegen' + genitive 'der starken Steigung'.

In der Mathematik berechnen wir heute die Steigung.

In mathematics, we are calculating the slope today.

Mathematical context.

Der Bus schaffte die Steigung nur im ersten Gang.

The bus only managed the incline in first gear.

Verb 'schaffen' (to manage/make it).

Die Steigung der Kurve im Diagramm ist sehr steil.

The slope of the curve in the diagram is very steep.

Genitive 'der Kurve'.

Achten Sie bei der Abfahrt auf die Steigung der Gegenfahrbahn.

Pay attention to the incline of the opposite lane during the descent.

Imperative 'Achten Sie'.

Die Rampe hat eine Steigung, die für Rollstühle geeignet ist.

The ramp has an incline that is suitable for wheelchairs.

Relative clause 'die... geeignet ist'.

Trotz der Steigung sind wir zügig vorangekommen.

Despite the incline, we made steady progress.

Preposition 'trotz' + genitive.

Können Sie die Steigung dieser Straße in Prozent angeben?

Can you state the incline of this road in percent?

Verb 'angeben' (to state/indicate).

Die maximale Steigung für diese Eisenbahnstrecke beträgt 40 Promille.

The maximum gradient for this railway line is 40 per mille.

Technical term 'Promille' used in rail.

Die Steigung der Tangente entspricht der Ableitung an diesem Punkt.

The slope of the tangent corresponds to the derivative at this point.

Advanced mathematical terminology.

Das Gelände weist eine unregelmäßige Steigung auf.

The terrain has an irregular incline.

Verb 'aufweisen' (to feature/exhibit).

Wir müssen die Steigung verringern, um die Sicherheitsnormen zu erfüllen.

We must reduce the incline to meet safety standards.

Infinitiv mit 'zu'.

Die Steigung war so extrem, dass die Bremsen heiß liefen.

The incline was so extreme that the brakes overheated.

Consecutive clause 'so... dass'.

Eine konstante Steigung erleichtert das gleichmäßige Gehen.

A constant incline makes steady walking easier.

Adjective 'konstant' (constant).

Die Steigung der Verkaufszahlen flacht allmählich ab.

The rise in sales figures is gradually leveling off.

Metaphorical use in business.

Bei dieser Steigung ist ein Allradantrieb empfehlenswert.

With this incline, all-wheel drive is recommended.

Noun 'Allradantrieb'.

Die topographische Karte verdeutlicht die extremen Steigungen der Region.

The topographic map illustrates the extreme inclines of the region.

Verb 'verdeutlichen' (to illustrate/clarify).

Die Steigung der Funktion nähert sich im Unendlichen dem Wert Null an.

The slope of the function approaches zero at infinity.

Mathematical limit terminology.

In der Bauplanung spielt die Steigung der Entwässerungsrohre eine entscheidende Rolle.

In construction planning, the slope of the drainage pipes plays a decisive role.

Compound noun 'Bauplanung'.

Die Steigung des Geländes erforderte aufwendige Fundamentarbeiten.

The slope of the terrain required extensive foundation work.

Adjective 'aufwendig' (expensive/extensive).

Die psychologische Hürde war größer als die tatsächliche Steigung des Berges.

The psychological hurdle was greater than the actual incline of the mountain.

Comparative 'größer als'.

Man kann die Steigung durch eine einfache lineare Regression ermitteln.

One can determine the slope through a simple linear regression.

Statistical terminology.

Die Steigung der Treppenstufen muss exakt berechnet werden.

The rise of the stair steps must be calculated exactly.

Passive voice 'muss berechnet werden'.

Trotz der geringen Steigung war der Weg aufgrund des losen Gerölls mühsam.

Despite the slight incline, the path was arduous due to the loose scree.

Noun 'Geröll' (scree/rubble).

Die architektonische Integration der Steigung in das Gebäudeensemble ist meisterhaft.

The architectural integration of the slope into the building ensemble is masterful.

Sophisticated vocabulary: 'Gebäudeensemble'.

In der Differentialgeometrie wird die Steigung als lokaler Gradient interpretiert.

In differential geometry, the slope is interpreted as a local gradient.

Academic register.

Die Steigung der sozialen Ungleichheit korreliert mit ökonomischen Umbrüchen.

The rise in social inequality correlates with economic upheavals.

Abstract metaphorical use.

Die Ingenieure debattierten über die optimale Steigung der Hochgeschwindigkeitstrasse.

The engineers debated the optimal gradient of the high-speed track.

Compound 'Hochgeschwindigkeitstrasse'.

Jede noch so kleine Steigung wurde in der detaillierten Vermessung berücksichtigt.

Every single incline, no matter how small, was considered in the detailed survey.

Concessive structure 'Jede noch so kleine'.

Die Steigung der Kurve reflektiert die Dynamik der Marktentwicklung.

The slope of the curve reflects the dynamics of the market development.

Business analysis terminology.

Die Steigung des Pfades schien sich mit jedem Schritt zu verdoppeln.

The incline of the path seemed to double with every step.

Literary style.

Die präzise Justierung der Steigung ist für die Funktionalität des Kanals essenziell.

The precise adjustment of the slope is essential for the functionality of the canal.

Noun 'Justierung' (adjustment).

Common Collocations

starke Steigung

leichte Steigung

Steigung berechnen

Steigung bewältigen

maximale Steigung

Steigung in Prozent

stetige Steigung

extreme Steigung

Steigung überwinden

Steigung der Kurve

Common Phrases

mit einer Steigung von

Steigung und Gefälle

an der Steigung

keine nennenswerte Steigung

durchschnittliche Steigung

prozentuale Steigung

Steigung der Tangente

die Steigung erhöhen

eine mörderische Steigung

Steigung der Geraden

Often Confused With

die Steigung vs Anstieg

Anstieg is better for 'increase' in numbers or the process of rising.

die Steigung vs Gefälle

Gefälle is a downward slope; Steigung is upward.

die Steigung vs Neigung

Neigung is any tilt, whereas Steigung is specifically upward.

Idioms & Expressions

"Es geht steil bergauf"

Things are improving rapidly or success is coming quickly.

Seit der Beförderung geht es mit seiner Karriere steil bergauf.

informal/neutral

"Den Berg bezwingen"

To successfully climb a difficult mountain or incline.

Sie haben die letzte Steigung bezwungen.

literary/sporty

"Eine Durststrecke überwinden"

To get through a difficult period (often involving an 'uphill' battle).

Nach der Steigung der Kosten müssen wir diese Durststrecke überwinden.

neutral

"Auf dem aufsteigenden Ast sein"

To be on the way up, to be successful.

Die Firma ist nach der Krise wieder auf dem aufsteigenden Ast.

informal

"Gegen den Strom schwimmen"

To go against the trend (metaphorical 'uphill' struggle).

Es ist wie eine Steigung, immer gegen den Strom zu schwimmen.

neutral

"Steil gehen"

To party hard or to be very successful/popular (slang).

Das neue Video geht richtig steil.

slang

"Himmelhoch jauchzend"

Extremely happy (the peak of an emotional 'Steigung').

Sie war nach dem Sieg himmelhoch jauchzend.

literary

"Die Kurve kriegen"

To manage a difficult situation (often after a steep 'Steigung').

Er hat gerade noch so die Kurve gekriegt.

informal

"Über den Berg sein"

To have passed the worst part of a difficulty/illness.

Der Patient ist endlich über den Berg.

neutral

"Alles im grünen Bereich"

Everything is fine (no dangerous 'Steigung' or 'Gefälle').

Keine Sorge, alles ist im grünen Bereich.

informal

Easily Confused

die Steigung vs der Anstieg

Both mean something going up.

Steigung is the gradient of a surface; Anstieg is the act of rising or an increase in value.

Die Steigung der Straße ist 10%, aber der Anstieg der Benzinpreise ist 20%.

die Steigung vs die Steilheit

Both describe steep things.

Steilheit is the quality/abstract state; Steigung is the measurable incline.

Die Steilheit der Felswand ist beeindruckend, aber die Steigung des Weges ist gering.

die Steigung vs das Gefälle

Both are gradients.

Steigung is upward; Gefälle is downward.

Auf das Gefälle folgt meistens eine Steigung.

die Steigung vs der Gradient

Technical synonyms.

Gradient is used in science/math; Steigung is used in everyday life and math.

Der Gradient des Luftdrucks ist hoch.

die Steigung vs die Neigung

Both involve angles.

Neigung is a general tilt or a personal preference; Steigung is an upward slope.

Seine Neigung zur Mathematik hilft ihm, die Steigung zu berechnen.

Sentence Patterns

Die Steigung ist [Adjektiv].

Die Steigung ist steil.

Die Straße hat eine Steigung von [Zahl]%.

Die Straße hat eine Steigung von 5%.

Wegen der [Adjektiv] Steigung [Verb] wir...

Wegen der starken Steigung schieben wir die Fahrräder.

Die Steigung der [Nomen] beträgt...

Die Steigung der Kurve beträgt 0,5.

Es gilt, die Steigung [Verb] zu [Verb].

Es gilt, die Steigung mathematisch zu bestimmen.

In Anbetracht der Steigung...

In Anbetracht der Steigung ist das Bauvorhaben riskant.

Trotz der Steigung...

Trotz der Steigung war er schnell.

Es gibt eine Steigung.

Hinter der Kurve gibt es eine Steigung.

Word Family

Nouns

Verbs

Adjectives

How to Use It

frequency

Common in southern Germany/Austria/Switzerland due to terrain.

Common Mistakes

Der Steigung ist hoch. → Die Steigung ist hoch.
Steigung is a feminine noun because it ends in -ung. It must take the article 'die'.
Die Steigung von die Straße. → Die Steigung der Straße.
Use the genitive case 'der' for feminine nouns to show possession or relationship, or use 'von der Straße'.
Ich fahre die Steigung unter. → Ich fahre das Gefälle hinunter.
You cannot have a 'downward Steigung'. Use 'Gefälle' for downward slopes.
Es gibt eine Steigung in Preise. → Es gibt einen Anstieg der Preise.
'Steigung' is for physical/mathematical slopes. 'Anstieg' is for increases in abstract values like prices.
Die Steigung ist 10 Grad. → Die Steigung ist 10 Prozent. (Oder: Der Neigungswinkel ist 10 Grad.)
Steigung is usually measured in percent. If you mean degrees, use 'Winkel' or 'Neigungswinkel'.

Tips

The -ung Rule

Always remember: -ung = feminine. This makes 'die Steigung' easy to remember. Never use 'der' or 'das' with it. This rule applies to 99% of nouns with this ending in German.

Cycling Context

If you are a cyclist, 'Steigung' is a word you'll use daily. Use 'bewältigen' (to conquer) when you successfully ride up a tough hill. 'Ich habe die Steigung bewältigt!'

Slope vs. Angle

In math, don't confuse 'Steigung' (m) with 'Winkel' (degrees). Steigung is a ratio (rise/run), while Winkel is the angle. They are related by the tangent function: m = tan(alpha).

Road Signs

In Germany, road signs for 'Steigung' show a car going up a triangle. The percentage tells you how many meters you rise for every 100 meters you travel horizontally.

Steigung vs. Anstieg

Use 'Steigung' for the slope itself. Use 'Anstieg' for the process of going up or an increase in price/temperature. 'Die Steigung ist steil, aber der Anstieg der Kosten ist moderat.'

Don't forget Gefälle

Always learn 'Steigung' and 'Gefälle' together. They are two sides of the same coin. If you go up, it's Steigung; if you go down, it's Gefälle.

Treadmill Tip

On a German treadmill, look for the 'Steigung' setting. Increasing it is a great way to increase the intensity of your workout without running faster.

Accessibility

If you work in construction, 'barrierefreie Steigung' (accessible incline) is a key term. Ramps for wheelchairs usually shouldn't exceed 6% Steigung.

The 'St' Sound

Always pronounce the 'St' as 'Sht'. Saying it like the English 'Stay' will mark you as a beginner. Practice saying 'Shtei-gung' to sound more native.

Visual Mnemonic

Visualize a staircase (Treppe) and the word 'steigen'. The 'Steigung' is what makes the stairs go up. This connects the noun to a common verb and object.

Memorize It

Mnemonic

Think of 'STAY' (Stei-) and 'GOING' (-gung). If you want to 'stay going' up the hill, you need to handle the 'Steigung'.

Visual Association

Imagine a triangular road sign with '10%' on it. That triangle is the visual representation of a 'Steigung'.

Word Web

steigen Berg Prozent Straße steil Gefälle Mathematik Laufband

Challenge

Try to find three different 'Steigungen' on your way to work or school tomorrow. Describe them using 'stark', 'leicht', or 'null'.

Word Origin

Derived from the Middle High German 'stīgen' and Old High German 'stīgan'. It shares roots with the English word 'stair' and 'sty' (as in rising up).

Original meaning: To go up, to climb, or to move upwards.

Germanic

Cultural Context

No specific sensitivities; it is a neutral technical and descriptive term.

English speakers often use 'slope' or 'incline' interchangeably, whereas German is very specific about using 'Steigung' for upward and 'Gefälle' for downward.

The 'Steilste Straße der Welt' (steepest street) in Baldwin Street is often discussed in German media using the word Steigung. Tour de France coverage in German always highlights the 'mörderische Steigungen' of the Alps. Leibniz and Newton's development of calculus involves the fundamental concept of 'Steigung' (slope of the tangent).

Practice in Real Life

Real-World Contexts

Road Traffic

Achtung, Steigung!
10% Steigung auf 2km.
Anfahren an der Steigung.
LKW-Verbot bei starker Steigung.

Hiking/Cycling

Die Steigung ist machbar.
Eine mörderische Steigung.
Wie viele Höhenmeter hat die Steigung?
Nach der Steigung machen wir Pause.

Mathematics

Bestimme die Steigung m.
Die Steigung ist positiv.
Steigungsdreieck zeichnen.
Punkt-Steigungs-Form.

Gym/Fitness

Steigung auf Stufe 5.
Intervalltraining mit Steigung.
Die Steigung simulieren.
Erhöhe die Steigung langsam.

Construction

Die Steigung der Rampe prüfen.
Vorschriften zur maximalen Steigung.
Dachsteigung berechnen.
Rohrleitung mit Steigung verlegen.

Conversation Starters

"Wie findest du die Steigung auf dieser Wanderroute?"

"Hat dein Auto Probleme bei einer starken Steigung?"

"Weißt du, wie man die Steigung einer Geraden berechnet?"

"Trainierst du auf dem Laufband lieber mit oder ohne Steigung?"

"Glaubst du, dass die Steigung für einen Rollstuhlfahrer zu steil ist?"

Journal Prompts

Beschreibe eine Wanderung, bei der die Steigung besonders schwierig war. Wie hast du dich gefühlt?

Warum ist es wichtig, die Steigung von Straßen genau zu planen?

Erkläre den Unterschied zwischen Steigung und Gefälle in deinen eigenen Worten.

Stell dir vor, du bist ein Ingenieur. Welche Probleme kann eine zu große Steigung bei einer Eisenbahn verursachen?

Wie verändert eine Steigung dein Training im Fitnessstudio?

Frequently Asked Questions

10 questions

Yes, 'die Steigung' is always feminine. This is because almost all German nouns that end in the suffix '-ung' are feminine. You can rely on this rule for other words like 'Heizung' or 'Zahlung' as well. Always use the articles 'die', 'einer', or 'der' accordingly.

While they are similar, 'Steigung' refers to the physical or mathematical gradient of a surface or line (how steep it is). 'Anstieg' refers to the act of rising or an increase in amount, such as 'ein Anstieg der Preise' (a rise in prices). You would use 'Steigung' for a road and 'Anstieg' for inflation.

You say 'eine Steigung von zehn Prozent'. The preposition 'von' is essential here to connect the noun with the measurement. On road signs, you will simply see the number and the percent symbol, but in a sentence, 'von' is the standard way to express it.

No, for a downward slope, you must use 'das Gefälle'. 'Steigung' specifically implies an upward direction. In technical contexts, they are often mentioned together as 'Steigung und Gefälle' to describe the overall profile of a route or track.

In mathematics, 'Steigung' means 'slope' or 'gradient'. It is usually represented by the letter 'm' in the linear equation y = mx + b. It tells you how much the y-value changes for every unit the x-value increases. It is a fundamental concept in geometry and calculus.

Yes, but usually in a technical sense. Architects talk about the 'Steigung' of a staircase to describe how high each step is relative to its depth. In casual speech, you might just say the stairs are 'steil' (steep), but 'Steigung' is the correct noun for the measurement.

The plural is 'die Steigungen'. You add '-en' to the singular form. This is common when describing a long road or a hiking trail that goes up and down multiple times: 'Der Weg hat viele Steigungen.'

It is a compound noun consisting of 'Steigung' and 'Winkel' (angle). It means the 'angle of inclination'. It is used in physics, engineering, and advanced math to describe the angle between the horizontal plane and the sloping surface.

Yes, though it's less common than 'Anstieg'. You might hear it in business contexts when looking at a line graph: 'Die Steigung der Kurve zeigt unseren Erfolg.' However, for general improvement, 'Aufstieg' or 'Fortschritt' are more common.

A 'starke Steigung' is a very steep incline. In road terms, anything above 10-12% is usually considered 'stark'. It implies that the climb will require significant effort, whether you are driving, cycling, or walking.