Advanced Synthesis
📋 What it is
The capstone: solve a multi-step, real-world problem that chains several equation skills.
🗣️ Coach says
Everything comes together. A capstone problem might translate a story into a system, simplify, solve, and check — one skill feeding the next. Synthesis is choosing the right move at each stage and keeping it tidy.
🧠 Memory hook
Chain it: translate → simplify → solve → check. Each step feeds the next; keep your work neat.
😂 Giggle
Why did the constant get jealous of the variable?
Because the variable got all the attention while the constant just sat there, unchanged!
😲 Whoa!
Rocket launches are governed by equations chained together — one solve's answer becomes the next equation's input, all the way to orbit.
✅ Quick check: A capstone gives a wordy two-variable story. What's a strong overall plan?
Say your answer out loud first — then reveal.
Name both unknowns, write two equations (a system), solve, then check both in the original story.
Synthesis links translation, systems and checking into one chain.
🧪 Try it! (2 minutes)
Invent a mini word problem needing TWO steps, solve it, and check your answer in the story.