2nd Year Mathematics Course Schedule and Learning Intentions April - June 2026

Concept Introduction and Simplification (Monday 13/04/26): * The primary goal is to master the ability to simplify a ratio into its simplest form. * Application of ratios involves using a given amount and identifying how many parts that amount represents in a ratio to determine: * The total amount of all parts combined. * The partial amount of other components within the ratio. * Homework Assignments: * Section 12.1: Exercises Q1-5, 8-10, and 12.
Advanced Ratio Problem Solving (Tuesday 14/04/26): * Continued focus on the learning intentions from the previous session (simplification and finding total/partial amounts). * Homework Assignments: * Section 12.1: Exercises Q15-18, 20-21.

Foundational Time Skills (Wednesday 15/04/26): * Develop proficiency in reading analog and digital clocks. * Practice the arithmetic of time, specifically adding and subtracting different time durations. * Homework Assignments: * Section 12.2: Exercises Q1-4, 6, and 11.
Timetable Interpretation (Tuesday 21/04/26 - Partial): * Homework Assignments: * Section 12.2: Exercises Q12 and 13.

Introduction to Coordinates and Distance (Tuesday 21/04/26): * Identify the $x$ -axis and $y$ -axis on a Cartesian plane. * Understand the convention for coordinate pairs: the value for $x$ always precedes the value for $y$ in the format $(x, y)$ . * Develop the skill to label correct coordinates on specific points provided on a grid. * Draw the $x$ and $y$ axes and accurately plot given points upon them. * Locate the specific formula for distance in the standardized log tables. * Calculate the distance (or length) between two distinct points using the distance formula. * Homework Assignments: * Section 11.1 Distance and Midpoint Formula: Exercises Q1-5, 6iv, 6v, and 6vi.
Midpoint Calculations and Applications (Wednesday 22/04/26): * Determine the midpoint between two points when provided with their specific coordinates. * Reverse calculation: Find the coordinates of a missing endpoint if provided with the coordinates of one endpoint and the midpoint between them. * Homework Assignments: * Section 11.1: Exercises Q8, 9, 11, 12, 13, 16, and 17.

Identifying and Determining Slope (Monday 27/04/26): * Learn to categorize the slope of a function as positive, negative, zero, or undefined through visual inspection. * Determine the numerical slope of a function by analyzing its graph. * Selection criteria: Understand how to choose appropriate points on a graph to accurately determine the slope. * Calculation: Find the slope of a line when provided with two distinct points on that line. * Homework Assignments: * Section 11.2 The Slope of a Line: Exercises Q1-6.
Slope Revision (Tuesday 28/04/26): * Review and reinforcement of the previous session's concepts regarding slope identification and calculation. * Homework Assignments: * Section 11.2: Exercises Q7, 9, 10, and 13.
Parallel and Perpendicular Lines (Wednesday 29/04/26): * Identify and demonstrate whether lines are parallel (slopes are equal). * Identify and demonstrate whether lines are perpendicular (the product of their slopes is $-1$ ). * Application: Use the slope formula to determine the coordinates of a missing point when the slope and one other point are known. * Homework / Resources: * Answers to class quiz and Slope quiz answers provided. * Revision work due by 05/04/26.

The Point-Slope Formula (Tuesday 05/05/26): * Utilize the equation of the line formula when provided with a specific point and the slope. * Format the resulting equation in the standard form: $ax + by + c = 0$ . * Homework Assignments: * Section 11.3 The Equation of the Line Formula: Exercises Q1, 2, 3iii, and 3iv. * Note for next lesson: Start with question 4.
Two-Point Equation Construction (Wednesday 06/05/26): * Derive the equation of a line when historical data consists only of two points located on that line. * Homework Assignments: * Section 11.3: Exercises Q6-8.

Advanced Slope Interpretation (Monday 11/05/26): * Identify the slope using a graph or a line, specifically in complex scenarios where the axes units do not increase in increments of $1$ . * Homework Assignments: * Section 11.8 Interpreting Slope: Exercises Q1-7.

Slope-Intercept Components (Tuesday 12/05/26): * Define and interpret the variables within the equation $y = mx + c$ , where $m$ represents the slope and $c$ represents the y-intercept. * Homework Assignments: * Section 11.4 The Equation $y = mx + c$ : Exercises Q1, 2, 10, 11, and 12.
Manipulating Linear Equations (Wednesday 13/05/26): * Convert a linear equation written in the standard form $ax + by + c = 0$ into the slope-intercept form $y = mx + c$ . * Homework Assignments: * Section 11.4: Exercises Q4-6, 13-17. * Note: Revision material to be posted in this section.