Loading...
Loading...
Pre-Algebra · Axiom Academy
Why a 90% on homework and a 90% on the final move your grade by different amounts — and how to read your course average as a balancing act. 1. Weight Is How Much a Score Counts Picture your four categories side by side. Each one's width is its weight — how big a share of the grade it owns — and its height is your score in it. A category with a bigger weight is simply a wider column, so its score has more pull. The weighted average is the single level height where the area sitting above the line exactly fills the gaps below it: a balanced grade. Each weight is the category's share; all four shares add to 1 (100%). To compute the average, take each score times its weight — that product is the points it contributes to your final grade — then add the four contributions. Watch each column collapse into its contribution and stack: the four pieces pile up to exactly the course grade. Contributes 24.6 points — the biggest slice, from the biggest weight. The plain average of 85, 78, 82, 88 is 83.25 — close, but not the same. The weighting nudges the grade toward the heavier Tests score. 3. Run It Backward to Reach a Target Now the most useful version of the question: the final exam is still ahead of you. Your three known categories already contribute a fixed amount; the final's slice is the only piece left to set. To hit a target grade , find the score whose weighted slice exactly fills the gap up to that target. Watch the final's column rise until the stack reaches the goal line.
This is the written version of the interactive lesson above. See the full Pre-Algebra course.