Utility Industry Math Boot Camp
Learning
Objectives
© 2011 Allannah Thomas
37
Utility Industry Math Boot Camp
Mathematics
Mental Mathematics Skills
At the beginning of Day 1, the hardworking student should be able to:
1. Demonstrate perfect knowledge of how to “read” a ruler by scoring 100% on Ruler Quiz #2.
2. Demonstrate high times tables proficiency by scoring at least 80% on Times Tables Quiz #2.
3. Demonstrate above average recall of perfect squares and their square roots by scoring at least
80% on Perfect Squares/Square Roots Quiz #2.
4. Demonstrate above average recall of common fractions and their decimal and percent
equivalents by scoring at least 80% on Common Fractions Expressed as Decimals and
Percents Quiz #2.
At the beginning of Day 6, the hardworking student should be able to:
1. Demonstrate perfect knowledge of how to “read” a ruler by scoring 100% on Ruler Quiz #12.
2. Demonstrate perfect times tables proficiency by scoring 100% on Times Tables Quiz #12.
3. Demonstrate perfect recall of perfect squares and their square roots by scoring 100% on
Perfect Squares/Square Roots Quiz #12.
4. Demonstrate perfect recall of common fractions and their decimal and percent equivalents by
scoring 100% on Common Fractions Expressed as Decimals and Percents Quiz #12.
Mathematics Topics
At the end of Day 1, the hardworking student should be able to:
1. Digits and Numbers
•understand the components of the Real Number System,
•differentiate between multiples and factors; find the Least Common Multiple and
Greatest Common Factor,
•differentiate between/calculate the terms of arithmetic and geometric number sequences.
2. Whole Numbers and Decimals
•perform basic arithmetical operations involving whole numbers and decimals,
•multiply and divide, rapidly, by whole number and decimal powers of 10,
•identify significant digits in numbers,
•round whole numbers and decimals to given places.
3. Signed numbers
•perform basic operations (addition, subtraction, multiplication, and division) of signed numbers.
© 2011 Allannah Thomas
38
Utility Industry Math Boot Camp
4. Ruler Fractions and Mixed Numbers I
• define fractions,
• write fractions,
•identify types of fractions,
•change improper fractions to mixed numbers,
•change mixed numbers to improper fractions,
•reduce fractions to lowest terms,
•create common denominators,
•increase/reduce fractions to designated denominators (create proportions).
At the end of Day 2, the hardworking student should be able to:
1. Ruler Fractions and Mixed Numbers II
•perform basic operations (addition, subtraction, multiplication, and division) with fractions
and mixed numbers.
2. Ratios and Proportions
•solve ratio problems,
•solve direct and inverse proportion problems.
At the end of Day 3, the hardworking student should be able to:
1. Percents
• convert fractions to decimals,
• convert decimals to percents,
• convert percents to decimals,
• solve unknown percent/part/whole in miscellaneous computational and word problems.
At the end of Day 4, the hardworking student should be able to:
1. Dimensional Analysis
•perform English unit conversions,
•perform metric unit conversions,
•perform English-to-metric and metric-to-English conversions,
•solve miscellaneous Dimensional Analysis word problems.
At the end of Day 5, the hardworking student should be able to:
1. Geometry
•define and understand characteristics of points, lines, angles, polygons, circles, and solids,
•solve miscellaneous basic geometry problems.
2. Graphic Arithmetic
•determine, using the appropriate formula, the perimeter/area/volume of a variety of objects.
© 2011 Allannah Thomas
39
Utility Industry Math Boot Camp
Spatial Reasoning
At the end of Day 1, the hardworking student should be able to:
•count hidden and touching blocks.
At the end of Day 3, the hardworking student should be able to:
•“make” rectangular boxes,
•“fold” boxes,
•“unfold” boxes,
•understand object patterns.
At the end of Day 4, the hardworking student should be able to:
•“rotate” shapes,
•find “rotated” shapes.
At the end of Day 5, the hardworking student should be able to:
•“match” pieces and parts,
•“assemble” parts.
Mechanical Comprehension
At the beginning of Day 6, the hardworking student should be able to understand the basics of:
•Newton’s Laws of Motion,
•the relationship between work and energy,
•momentum,
•simple machines,
•mechanical advantage,
•hydraulics,
•pneumatics.
© 2011 Allannah Thomas
40