DOC-20260831-WA0012(1)

GQR-101: QUANTITATIVE REASONING (I) 16-Week Step-by-Step Teaching & Study Plan (Complete Official Outline) COMPLETE 16-WEEK SYLLABUS SCHEDULE Wk Syllabus Module Topics & Focus Areas Quantitative Reasoning Application W1 1. Numerical Literacy Number system & basic arithmetic operations (Integers, Rationals, Real Numbers, BODMAS rule). Solving real-number scenario problems using correct operator precedence. W2 1. Numerical Literacy Units and their conversions (Metric vs. Imperial, dimensional analysis). Converting complex single/multi-variable units in applied setups. W3 1. Numerical Literacy Area, perimeter, and volume calculations for 2D and 3D geometric shapes. Practical geometric layouts and spatial volume estimates. W4 1. Numerical Literacy Rates, ratios, and proportional reasoning (Direct vs. inverse variation). Solving scaling, rate, and proportional distribution problems. W5 1. Numerical Literacy Percentages, percentage change, markups, discounts, and simple interest. Financial calculations involving interest rates, price changes, and profit margin. W6 1. Numerical Literacy Types and sources of data; Measurement scales (Nominal, Ordinal, Interval, Ratio). Classifying dataset types and determining measurement validity. W7 1. Numerical Literacy Tabular and graphical presentation of data; Quantitative reasoning exercises using number knowledge. Constructing/interpreting frequency tables, bar charts, pie charts, and histograms. W8 Midterm Evaluation MIDTERM EXAMINATION (Covers Section 1: Numerical Literacy & Data Basics). Assessing problem-solving speed and mathematical accuracy across Weeks 1–7. W9 2. Mathematical Concepts Basics of geometry (lines, angles, circles, polygons, properties of triangles). Solving spatial geometry and angular relationship problems. W10 2. Mathematical Concepts Sets and their operations (Union, Intersection, Difference, Complement, Venn Diagrams). Categorizing overlapping qualitative data sets using Venn diagrams. W11 2. Mathematical Concepts Relations, functions, and their graphs (Domain, range, functional valuation). Graphing functions and evaluating realworld functional models. W12 2. Mathematical Concepts Exponents, factoring, and simplifying algebraic expressions. Simplifying complex algebraic expressions and exponential rules. W13 2. Mathematical Concepts Algebraic and graphical solutions of linear and quadratic equations and inequalities. Translating word scenarios into solvable linear/quadratic algebraic models. W14 3. Statistical Concepts Population and sample; Graphical presentation of statistical data. Differentiating population parameters from sample statistics. W15 3. Statistical Concepts Summarizing data: Measures of central tendency (Mean, Median, Mode) & dispersion (Range, Variance, Standard Deviation). Analyzing average values, skewness, and variability across datasets. W16 3. Statistical Concepts Rules of counting (multiplicative, permutation, combination); Basic concept of probability (a priori and relative frequency); Terminal review. Calculating probabilities, permutations, combinations, and final exam synthesis. SUGGESTED READING MATERIALS (FROM OFFICIAL OUTLINE) Madison, B. L., Lynn, & Steen, A. — Quantitative Reasoning: Tools for Today's Informed Citizen. Madison, B. L., & Bressoud, D. M. — Quantitative Reasoning for the Information Age. Ellis, W. — Fundamentals of Mathematics. Zaslow, E. — Quantitative Reasoning: Thinking in Numbers. Bueno de Mesquita, E., & Fowler, A. — Thinking Clearly with Data: A Guide to Quantitative Reasoning and Analysis. • • • • • GQR-101: Quantitative Reasoning (I) — Complete 16-Week Plan Page 1 of 2Bennett, J. O., Briggs, W. L., & Badalamenti, A. — Using and Understanding Mathematics: A Quantitative Reasoning Approach. Rosen, K. H. — Discrete Mathematics and its Applications. Chatfield, C. — Statistics for Technology: A Course in Applied Statistics. Lock, R. H., Lock, P. F., Morgan, K. L., & Lock, E. F. — Statistics: Unlocking the Power of Data. • • • • GQR-101: Quantitative Reasoning (I) — Complete 16-Week Plan Page 2 of 2