Number Sense
Individuals are called upon every day to use their ability to make quick mental
calculations to make decisions. The development of such abilities should be an
integral part of the math curriculum. Concepts covered include, but are not
limited to: addition, subtraction, multiplication, division, proportions, and
use of mathematic notation.
Students will be given a 10-minute, fill-in-the-blank test which they must
complete without doing calculations on paper or on a calculator. Erasures and
mark-outs are not permitted.
The handbook, Developing Middle School Number Sense Skills, is available. It
is the same edition first published in 1996.
Junior High
Problems 1 - 20*
Problems 21 - 40
Problems 41 - 60
Problems 61 - 80
calculations to make decisions. The development of such abilities should be an
integral part of the math curriculum. Concepts covered include, but are not
limited to: addition, subtraction, multiplication, division, proportions, and
use of mathematic notation.
Students will be given a 10-minute, fill-in-the-blank test which they must
complete without doing calculations on paper or on a calculator. Erasures and
mark-outs are not permitted.
The handbook, Developing Middle School Number Sense Skills, is available. It
is the same edition first published in 1996.
Junior High
Problems 1 - 20*
- Addition, subtraction, multiplication & division of whole numbers,
fractions, and decimals - Order of operations
- Use of the distributive property
- Comparison of fractions & decimals
- Multiplication short-cuts
- Squaring numbers
- Roman numerals/arabic numbers
- Mean, median, mode
- Sums of whole numbers
Problems 21 - 40
- Addition, subtraction, multiplication & division of mixed numbers and
integers - More multiplication short-cuts
- Percent problems
- Conversion problems (either way): English/metric, length, area, capacity,
time - Consumer type problems
- Substitution problems
- Solving simple equations
- Square roots/cube roots
- Greatest common divisor (gcd) & least common multiple (lcm)
- Number theory - prime numbers and divisors
- Perimeter/area of: square, rectangle, circle
- Ratio/proportion
- Inverses
Problems 41 - 60
- Sets
- Word problems
- Pythagorean theorem
- Sequences
- Volume/surface area of rectangular solid/cube
- Base systems
- Area of: parallelogram, rhombus, trapezoid, circle
- Solving inequalities
- Basic geometry facts
- Remainder problems
Problems 61 - 80
- Repeating decimals
- More number theory
- Powers of numbers
- Volume of: circular cylinder, cone, sphere
- Sequences & series
- Multiplication of 101, 111
- Factorial
- Coordinate geometry
- Probability
- More percent type problems
- More remainder type problems
- More multiplication short-cuts