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McREL Math Skills Correlated to MathTrax by Grade Group
Yellow Square Indicates Correlation to MathTrax
Here is a table summarizing the key math skills that students may be expected to develop in each of 4 pre-college grade groupings. It is based on United States national content guidelines. For more detail, see the Mathematics Standards and Benchmarks.
This table is provided by the Mid-continent Regional Educational Laboratory (McREL), and is used here with their permission.
Primary |
Upper |
Middle |
High School |
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| Problem- Solving |
represents problems with physical objects or pictures | trial and error; process of elimination |
proportional thinking | proofs; algorithms |
| Numbers | whole numbers | decimals, fractions, odd & even numbers, mixed numbers; place value |
rational & irrational numbers; exponents; scientific notation; ratios, proportions, percents |
real-number system; inequalities |
| Computation |
adds & subtracts whole numbers | adds, subtracts, multiplies, & divides whole numbers, and decimals; uses calculator |
adds, subtracts, multiplies, & divides mixed numbers & fractions; estimation techniques |
adds and subtracts algebraic expressions; performs basic operations involving roots and exponents |
| Measurement | length, width, height, weight, time, temperature | area, mass, volume, circumference, perimeter, capacity | rate; standard & metric systems; scale drawings; indirect measurements; surface area |
velocity; acceleration; precision, accuracy, & tolerance in measurements |
| Geometry | circles, squares, triangles | angles, similarity, symmetry, congruence | slope; 3- dimensions; parallel, perpendicular; Pythagorean theorem; motion geometry; geometric models |
Pythagorean relationships; vectors; transformations of geometric shapes |
| Data Analysis | simple graphs | organizes simple data sets; constructs & reads simple graphs & charts |
central tendency (mean, median, mode); dispersion of data |
data matrices |
| Probability & Statistics | likelihood of events | predictions; data sampling |
estimates probabilities | random variables; statistical measures; determines probabilities; normal curve |
| Algebra & Functions | recognizes basic patterns | constructs patterns | variables; coordinates; solves simple systems of equations |
functions; algebraic modeling; systems of equations & inequalities; basic trigonometric methods |
Primary |
Upper |
Middle |
High School |
URL: http:// pumas.jpl.nasa.gov/ math_skills.html Copyright: © 1996, California Institute of Technology ALL RIGHTS RESERVED Based on U.S. Government sponsored research |
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