A+ Academics Contact Info

A+ Academics Director:
David Trussell

Email:
.(JavaScript must be enabled to view this email address)

Department Phone:
512-471-5883

Department Fax:
512-232-7311

State Champions

A+ Number Sense

Grades 4-8

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.

Contact the contest director, Andy Zapata: adzapata@juno.com.

A+ Number Sense Problem Sequencing

Elementary

Problem 1 - 20*

  1. Addition, subtraction, multiplication, & division of whole numbers
  2. Recognizing place value
  3. Rounding off whole numbers
  4. Multiplication short-cuts
  5. Remainder type problems
  6. Even & odd number type problems
  7. Expanded notation
  8. Sums of whole numbers
  9. Roman numerals/arabic numbers

Problems 21 - 40

  1. Addition/subtraction of fractions with common denominators
  2. Addition, subtraction, multiplication, & division of decimal fractions
  3. Comparing decimal fractions & common fractions
  4. Conversion problems (either way): fraction/decimal, percent/fraction, percent/decimal
  5. Order of operations
  6. More multiplication short-cuts
  7. Ratio/proportion
  8. Consumer type problems
  9. Problems about prime numbers
  10. Greatest common divisor (gcd) & least common multiple (lcm)
  11. Conversion problems (either way): length, weight, volume

Problems 41 - 60

  1. Addition, subtraction, multiplication & division of fractions and mixed numbers
  2. Substitution problems
  3. Perimeter/area of: square, rectangle, triangle
  4. Radius/diameter of a circle
  5. Powers & roots of numbers
  6. Solving simple equations
  7. Sequences
  8. Sets
  9. Word problems
  10. Volume of cube/rectangular box
  11. Right triangle problems
  12. More multiplication short-cuts
  13. Base systems

Problems 61 - 80

  1. Addition, subtraction, multiplication & division of integers
  2. Inverses
  3. Basic geometry facts
  4. More area problems
  5. Squaring two-digit numbers
  6. More multiplication short-cuts
  7. Powers of numbers
  8. More consumer type problems
  9. Inequalities
  10. Probability
  11. More area problems: parallelogram, rhombus, trapezoid
  12. Coordinate geometry - number line
  13. More percent type problems

Junior High

Problems 1 - 20*

  1. Addition, subtraction, multiplication & division of whole numbers, fractions, and decimals
  2. Order of operations
  3. Use of the distributive property
  4. Comparison of fractions & decimals
  5. Multiplication short-cuts
  6. Squaring numbers
  7. Roman numerals/arabic numbers
  8. Mean, median, mode
  9. Sums of whole numbers

Problems 21 - 40

  1. Addition, subtraction, multiplication & division of mixed numbers and integers
  2. More multiplication short-cuts
  3. Percent problems
  4. Conversion problems (either way): English/metric, length, area, capacity, time
  5. Consumer type problems
  6. Substitution problems
  7. Solving simple equations
  8. Square roots/cube roots
  9. Greatest common divisor (gcd) & least common multiple (lcm)
  10. Number theory - prime numbers and divisors
  11. Perimeter/area of: square, rectangle, circle
  12. Ratio/proportion
  13. Inverses

Problems 41 - 60

  1. Sets
  2. Word problems
  3. Pythagorean theorem
  4. Sequences
  5. Volume/surface area of rectangular solid/cube
  6. Base systems
  7. Area of: parallelogram, rhombus, trapezoid, circle
  8. Solving inequalities
  9. Basic geometry facts
  10. Remainder problems

Problems 61 - 80

  1. Repeating decimals
  2. More number theory
  3. Powers of numbers
  4. Volume of: circular cylinder, cone, sphere
  5. Sequences & series
  6. Multiplication of 101, 111
  7. Factorial
  8. Coordinate geometry
  9. Probability
  10. More percent type problems
  11. More remainder type problems
  12. More multiplication short-cuts
UNIVERSITY INTERSCHOLASTIC LEAGUE
1701 Manor Road, Austin, TX 78722
Tel: (512) 471-5883 | Fax: (512) 471-5908