Number Sense
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.
A+ Number Sense Problem Sequencing
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