“Problem of the Day” - Calculations and Calculators ...
“Problem of the Day” – Mental Math and Equivalents
Math Focus Topic – September 2013
Use the “Problem of the Day” in any way that works for integrating this content with similar content found in your program area. Please note that the solutions are immediately adjacent to the problem. Additional problems of the same type are available upon request.
Suggestions for use: ATB or Sponge Activity; write on board and have students copy problem into a journal / notebook / notes; hold students accountable by checking the work for completeness and accuracy; review errors and procedures to improve students’ skills and confidence.
20 Problems for September 3 - 6, 9 - 13, 16- 20, 23 - 27, & 30
All of these questions/problems should be done mentally – no paper and pencil, no calculator, and no using reference materials!
September 3
List the first 12 numbers in the set of Whole Numbers.
List any 20 integers.
List the first four ordinal numbers.
List the prime numbers under 20.
September 4
List the squares of 1 - 20
List the cubes of 1 – 10
What are the square roots of the following perfect squares - 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, and 144?
What are the cube roots of 8, 27, 64, and 125?
September 5
How do you know that a number is divisible by 2?
How do you know that a number is divisible by 3?
How do you know that a number is divisible by 5?
How do you know that a number is divisible by 10?
How do you know that a number is divisible by 100?
September 6
What is the GCF of 24 and 36?
What is the LCM of 10 and 15?
September 9
List 5 fractions equivalent to ½
List 3 decimals equivalent to ½
List a percentage equivalent to ½
September 10
Simplify or reduce these fractions: 18/24, 9/12, 5/20, 12/40
Change these improper fractions to mixed numbers: 7/5, 8/3, 18/4
September 11
What is one reciprocal of ¾?
Name two reciprocals of ⅝
Name a reciprocal of ⅛
Name a reciprocal of 2
What is the reciprocal of 1?
September 12
345.678
What is the digit in the hundreds place?
What is the digit in the tenths place?
What is the digit in the ones place?
What is the digit in the thousandths place?
September 13
List a decimal and a percent that is equivalent to ¼
List a decimal and a percent that is equivalent to ¾
List a decimal and a percent that is equivalent to ⅓
List a decimal and a percent that is equivalent to ⅔
September 16
What is 10% of 100?
What is 15% of 200?
What is 20% of 300?
What is 50% of 1000?
September 17
How many inches in a foot?
How many feet in a yard?
How many inches in a yard?
How many feet in a mile?
How many yards in a mile?
September 18
How many quarts in a gallon?
How many ounces in a cup?
How many cups in a pint?
How many ounces in a pound?
How many pounds in a ton?
September 19
How many meters in a kilometer?
How many centimeters in a meter?
How many grams in a kilogram?
How many millimeters in a meter?
How many milligrams in a gram?
How many milliliters in a liter?
September 20
How many seconds in a minute?
How many minutes in an hour?
How many hours in a day?
How many days in a week?
How many days in a year?
How many months in a year?
How many weeks in a year?
How many years in a decade?
How many years in a century?
How many years in a millennium?
September 23
How many degrees in a circle?
How many degrees in a right angle?
What is the boiling point of water in Fahrenheit degrees?
What is the boiling point of water in Celsius degrees?
What is the freezing point of water in Fahrenheit degrees?
What is the freezing point of water in Celsius degrees?
What is normal body temperature in Fahrenheit degrees?
September 24
Draw a sketch and label these 1-Dimensional Figures: Circle, Square, Rectangle, Right Triangle, Trapezoid, Rhombus, Parallelogram, Pentagon, Hexagon, and Octagon
September 25
Draw a sketch and label these 3-Dimensional Figures: Rectangular Solid, Triangular Prism, Cube, Pyramid, Cylinder, Cone, and Sphere
September 26
Draw a sketch and label: parallel lines, perpendicular lines, intersecting lines, tangent line, point, and right angle
September 27
What are these abbreviations?
■ in., yd., ft., pt., qt., tsp., tbs., c., lb., oz., mi., ″, and ′
■ g, m, L, cm, mm, km, mL, kL, kg, and Ω
■ ², ³, °, ∆, $, ¢, #, %, and ^
■ , ≈, ≠, ≤, ≥, =, -, +, ÷, x, •, and ∞
September 30
Practice basic facts on these flashcard websites. Students can work as a group, team, or individually.
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