Answer Key — Root finding and interpolation
Numerical analysis
Do not share with students before practice tests.
Worksheets — Sets 1–10
| Set | Guidance | | --- | --- | | Set 1 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 2 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 3 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 4 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 5 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 6 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 7 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 8 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 9 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 10 | Root finding and interpolation — verify written work and accept reasonable drawings. |
Worksheets — Sets 11–20
| Set | Guidance | | --- | --- | | Set 11 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 12 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 13 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 14 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 15 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 16 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 17 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 18 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 19 | Root finding and interpolation — verify written work and accept reasonable drawings. | | Set 20 | Root finding and interpolation — verify written work and accept reasonable drawings. |
Review tiers 1–10
- Checklists are parent-judged.
- Written items: verify against practice set patterns.
- Standard text: Bisection, fixed-point iteration, and Newton's method Secant method and convergence analysis (informal) Lagrange and Newton interpolation polynomials Runge phenomenon and piecewise polynomial interpolation Splines (linear and cubic) and their continuity conditions
Practice test scoring
| Tier | Pass guidance | | --- | --- | | 1–3 | Most oral tasks smooth; majority of written correct | | 4–6 | 7/10+ total with clear understanding | | 7–8 | 9/12+ with explanations | | 9–10 | Near-perfect; ready to move on |
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