Fourth Grade Mathematics Content Standards
Fourth grade students are expected to:
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Number and operation
- Understand place value pattern relationships and rounding numbers through millions
- Add, subtract, multiply, and divide whole numbers
- Use standard algorithms for multiplying a multi-digit number by a two digit number, and long division for dividing a multi-digit number by a one digit number
- Instantly recall multiplication and division facts 1-12
- Recognize how to factor small whole numbers (i.e.12 = 4x3 = 2x6 = 2x2x3) and understand prime numbers
- Estimate, round and use exact numbers as appropriate in real life situations
- Describe, compare, add, subtract, and find equivalencies of like and unlike fractions
- Use tools such as manipulatives, calculators, measuring tools, and computers to find solutions
- Order and compare decimals up to two decimal places on a number line
- write tenths and hundredths in decimal and fraction notation
- know fraction/decimal equivalencies for halves and fourths (i.e. 1/2 = .5 or .50; 7/4 = 1 3/4 = 1.75)
- Introduce addition and subtraction of whole numbers and
positive decimals up to two places
- round two place decimals to one decimal or to the nearest whole number
- Introduction to negative integers. Use concepts of negative numbers (e.g. on a number line, in counting, in temperature)
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Geometry
- Know the definition, classification, and identification of features of different triangles, angles, and quadrilaterals
- Use a simple coordinate grid to represent points, graph lines, and simple figures
- Find, compare, and identify measurement of shapes (i.e. recognize that rectangles having the same area can have different perimeters; be familiar with such geometric terms as parallel, perpendicular, radius and diameter of circles)
- Select and use appropriate units for measuring length in standard and metric systems
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Function and Algebra
- Use simple algebraic notation such as letters, boxes, or formulas to stand for an unknown number
- Understand the use of parentheses to recognize which operation comes first
- Demonstrate that relationships between two quantities remain the same as long as the same change is made to both quantities
- Use symbols such as: +, -, x, ½ , /, $, ¢, %, ”, ’, <, > correctly in number sentences and expressions
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Statistics and Probability
- Collect, organize, and analyze real-life data and select the most effective form of communication (i.e. diagrams, charts, tables)
- Apply probability to real life situations (i.e. use sampling to predict outcomes, increase the number of trials to improve accuracy)
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Problem solving and mathematical reasoning
- Formulate, estimate and solve problems by applying a variety of strategies, making connections among concepts, and selecting the appropriate approach
- Develop generalizations of the results obtained and extend them to other circumstances
- Use mathematical language and representations to articulate thought processes (i.e. numerical tables, and equations, simple algebraic formulas, charts, graphs) and support solutions with evidence.