scholastic aptitude test in mathematics

a comprehensive two-month study plan

abstract

We outline an effective two-month study plan for the mathematics module of the Scholastic Assessment Test in December. The module encompasses itself in a set of nineteen skills which we aim to cover during the standard lecture period. This is supplemented with three topic-specific worksheets, sorted by difficulty.

All exercises within this plan belong to the official CollegeBoard Educator Question Bank, and are characterised by not being present in any official full-length practice test. Thus, students taking this course need not worry about an overlapping with their standard preparation material. Note that time we spend on each topic is consistent with its frequency on the test.

  1. Algebra
    1. Linear Equations in One Variable
    2. Linear Functions
    3. Linear Equations in Two Variables
    4. Systems of Two Linear Equations in Two Variables
    5. Linear Inequalities in One or Two Variables
  2. Advanced Mathematics
    1. Equivalent Expressions
    2. Nonlinear Functions
    3. Systems of Equations
  3. Problem-Solving
    1. Ratios, Rates, Proportions & Units
    2. Percentages
    3. One-Variable Data
    4. Two-Variable Data
    5. Conditional Probability
    6. Inference from Sample Statistics
    7. Statistical Claims
  4. Geometry
    1. Area & Volume
    2. Lines, Angles & Triangles
    3. Right Triangles & Trigonometry
    4. Circles

organization

Class Times.

  • Monday, 20:45 - 22:00;
  • Wednesday, 20:45 - 22:00.

Venue. RLH-172 Conrad Naber Lecture Hall.

Assignments. 2x Topic Worksheets per Week, posted on moodle.

schedule

This outlines a tentative schedule for our lectures. Monday, 14.10 marks the start of the first week, with Wednesday, 04.12 being the 16th and final slot.

Week of Monday Wednesday
14.10 Linear Equations in One Variable Linear Functions
21.10 Linear Equations in Two Variables Systems of Two Linear Equations in Two Variables
28.10 Linear Inequalities in One or Two Variables Nonlinear Functions (I)
04.11 Nonlinear Functions (II) Equivalent Expressions
11.11 Systems of Equations Ratios, Rates, Proportions, Units
18.11 Percentages; One-Variable Data (I) One-Variable Data (II); Two-Variable Data
25.11 Conditional Probability; Inference from Sample Statistics Statistical Claims; Area & Volume
02.12 Lines, Angles, Triangles Right Triangles & Trigonometry; Circles

You may plan your attendance accordingly. For instance, if you are particularly strong with the skill of Equivalent Expressions, then you definitely do not need to attend, and should instead focus on completing the respective worksheet.

class recordings so far

reminder

… and always remember,

it is not possible to truly appreciate Mathematics without an eager and questioning mind and a spirit that is not afraid to experiment, to make mistakes and profit from them, to accept frustration and persevere to the ultimate triumph. Those who are able to cultivate these qualities will find themselves richly rewarded, both in their study of Mathematics and their appreciation of all that life has to offer.