Utility Industry Math Boot Camp Outline and Learning Objectives Day of Remediation/Orientation is a full day held 2 -3 weeks prior to commencement of the Math Boot Camp. It prepares the students for the boot Camp and provides them with pre-work that must be completed prior to the first day of boot camp. Class includes: - Times Tables - Multiples and Factors - Reducing Fractions - Simplifying Square Roots - Multiplying Fractions with cross-canceling - Pythagorean Triples (finding the missing side) The following also occurs during the Day of Remediation/Orientation: - Administer Ruler Quiz and then distribute Ruler handbook to be completed as homework - Administer Daily Quizzes," i.e., Times Tables Quiz, Perfect Squares/Square Roots Quiz, Common Fractions Expressed as Decimals and Percents Quiz - Administer the Mechanical Comprehension Assessment and then distribute the Mechanical Comprehension handouts to be completed as homework - Administer the Spatial Reasoning Assessments - Hand out Syllabus for Math Boot Camp - Handout the Student Agreement and have students sign and return to instructor Math Boot Camp - 6-Day Boot Camp - 5 days of the boot camp can be held consecutively over a one week period or spread out over several weeks. - Day 6 should be a full day of class, and includes spatial reasoning a refresher of all material, as well as extensive testing in a timed environment. Ideal: Pre-Employment Test should be administered within 2 weeks of Day 6 1 © 2011 Allannah Thomas Utility Industry Math Boot Camp Learning Objectives 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 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 4. Ruler Fractions and Mixed Numbers I define fractions, write fractions, 2 © 2011 Allannah Thomas Utility Industry Math Boot Camp 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. Spatial Reasoning At the end of Day 1, the hardworking student should be able to: count hidden and touching blocks. 3 © 2011 Allannah Thomas Utility Industry Math Boot Camp 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. 4 © 2011 Allannah Thomas