Mathematics — Grade 3, Middle School and AHS
Mathematics in Grade 3 of Mittelschule and AHS: rational numbers, terms with powers, binomial formulas, equivalence transformations, interest, prisms, pyramids, probability. For each topic there are sample exercises for printable worksheets with solutions.
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Curriculum scope
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U3.1(our numbering) · Teaching content · checked against the actKompetenzbereich 1: Zahlen und Maße
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.1.1(our numbering) · Teaching content · checked against the actrationale Zahlen darstellen, vergleichen und ordnen; Rechenoperationen durchführen und interpretieren.
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.2(our numbering) · Teaching content · checked against the actKompetenzbereich 2: Variablen und Funktionen
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.2.1(our numbering) · Teaching content · checked against the actTerme, Gleichungen und Formeln auch im Zusammenhang mit Verhältnissen bzw. Proportionen aufstellen und interpretieren,
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.2.2(our numbering) · Teaching content · checked against the actTerme umformen, auch unter Anwendung der Potenzdarstellung mit positiven ganzzahligen Exponenten,
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.2.3(our numbering) · Teaching content · checked against the actGleichungen und Formeln umformen; Gleichungen durch Äquivalenzumformungen lösen,
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.2.4(our numbering) · Teaching content · checked against the actWachstums- und Abnahmeprozesse modellieren und mit den zugehörigen Modellen arbeiten.
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.3(our numbering) · Teaching content · checked against the actKompetenzbereich 3: Figuren und Körper
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.3.1(our numbering) · Teaching content · checked against the actmit Vielecken und ihren Flächeninhalten arbeiten,
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.3.2(our numbering) · Teaching content · checked against the actFiguren zentrisch vergrößern bzw. verkleinern; ähnliche Figuren erkennen und nutzen,
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.3.3(our numbering) · Teaching content · checked against the acträumliche Objekte beschreiben und darstellen; Oberflächen- und Rauminhalte gerader Prismen und Rauminhalte von Pyramiden ermitteln.
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.4(our numbering) · Teaching content · checked against the actKompetenzbereich 4: Daten und Zufall
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.4.1(our numbering) · Teaching content · checked against the actstatistische Darstellungen erstellen und nutzen; Manipulationen in statistischen Darstellungen erkennen
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
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U3.4.2(our numbering) · Teaching content · checked against the actaufbauend auf einem intuitiven Wahrscheinlichkeitsbegriff Wahrscheinlichkeiten in einfachen Zufallsexperimenten ermitteln, vergleichen und interpretieren.
Lehrplan AHS, Anlage A, Unterstufe, Mathematik, Kompetenzbereiche, 3. Klasse
Task templates to print
Every task type, grouped by skill. Clicking one opens the worksheet generator with it already selected.
Other task types
- Bar chart: how many more (grade 2–4)
- How many more, from the table (grade 2–4)
- Which category has the most (grade 2–4)
- Difference between two rows: choose the correct answer (grade 2–4)
- Difference between two rows: true or false (grade 2–4)
- How many groups are above the given number (grade 2–4)
- The gap between the largest and the smallest (grade 2–4)
- A bag of marbles: which is more likely (grade 2–4)
- Correct the comparison of chances (grade 2–4)
- Did the character compare the chances correctly? (grade 2–4)
- Fill the bag: bigger, smaller or equal chance (grade 2–4)
- Which chance is bigger? Choose (grade 2–4)
- Which one will you draw soonest (grade 2–4)
- Find the greatest common factor (grade 5–6)
- Share into identical packs (grade 5–6)
- Find the prime factorization (grade 5–6)
- Find the least common multiple (grade 5–6)
- When together again? (grade 5–6)
- Add integers
- Subtract integers
- Evaluate an expression with brackets (grade 4–6)
- Write the ratio in simplest form (grade 6)
- Complete the proportion (grade 5–6)
- Scale up from one group to another (grade 5–6)
- Find the mean (grade 5–6)
- Mean from a bar chart (grade 5–6)
- The mean in everyday life (grade 5–6)
- Find the median (grade 5–6)
- Compare bars in a bar chart (grade 4–6)
- Distance on a map and in reality (grade 5–6)
- Perimeter of a polygon (grade 4–6)
- Missing side from the perimeter (grade 4–6)
- Area of a trapezoid
- Inverse proportion
- Decrease by a percent
- Increase by a percent
- Percent increase — choose the answer
- Evaluate a power of a fraction
- Evaluate a power of an integer
- Value of a power — choose the answer
- Divide signed numbers
- Multiply signed numbers
- Add signed decimals
- Subtract signed decimals
- Missing exponent — rules of exponents
- Divide in a given ratio
- Interest on a savings deposit
- How many red balls to expect?
- How many times to expect?
- Volume of a triangular prism
- Surface area of a triangular prism
- Surface area of a square pyramid (grade 8)
- Volume of a square pyramid (grade 8)
- Drawing a ball from a box
- Rolling a die
- Drawing a numbered card
- Is the number a solution?
- Evaluate an expression
- Expand brackets
- Factor out a common factor
- Combine like terms
- Combine like terms in two variables
- Multiply (x + a)(x + b)
- Multiply two binomials
- Solution of an equation — choose the answer
- Solve ax + b = c
- Unknown on both sides
- Square and cube of a number (grade 4–6)
- Square of a fraction (grade 5–6)
- Which number was it? (grade 5–6)
- How many were there at the start? (grade 5–6)
- Rearrange the formula for x
- Estimate a probability from an experiment
- How many faces does the pyramid have? (grade 5–6)
- How many vertices does the prism have? (grade 5–6)
- Edges of a solid from a picture (grade 4–6)
- Faces of a solid from a picture (grade 4–6)
- How many edges does the prism have? (grade 5–6)
- How many edges does the pyramid have? (grade 5–6)
- Vertices of a solid from a picture (grade 4–6)
- Which solid is it? (grade 4–5)
- Area of an L-shaped figure
- Largest integer in a set
- Smallest integer in a set
- Compound interest — deposit (grade 9–11)
- Product of a sum and a difference (grade 9–10)
- Square of a sum or difference (grade 9–10)
- Equation with no or infinitely many solutions (grade 9–10)
- Area of a similar figure (grade 9–10)
- Side of a similar triangle (grade 9–10)
- Pie chart: angle of a sector
- Pie chart: frequency from an angle