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Writing Linear Functions (1): Interactive Slope-Intercept Practice

Writing Linear Functions (1): Interactive Slope-Intercept Practice
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2021-04-29 23:20
FunctionCoordinate GeometrySlider AnimationGraphing
① This example demonstrates an interactive GeoGebra activity where students practice writing linear functions based on given conditions. ② Core math concepts include the slope-intercept form y=mx+b, slope, y-intercept, and the relationship between a linear equation and its graph. ③ Construction highlights: uses Sequence and RandomElement to generate random coefficient lists, FractionText and Denominator to display fractions, Textfield and InputBox for student input, and commands like PointIn, Slope, Intersect, Segment, Line to build and verify the graph. Key objects include numlist, denomlist, blist, n, s, b, button1, text1, dollar, a, f, g, InputBox1, text7, kseq, k, numb, d, ans, InputBox2, deonm2list, chosenans, FINAL, e, InputBox3, text8, text5, A, B, eq1, c, C, h, p, i, eq2, D, E. ④ Suitable for middle school to high school students learning linear functions, ideal for classroom exercises or self-paced practice to reinforce slope and intercept concepts and equation writing skills.

GeoGebra Commands & Parameters

  1. Union(Sequence[-20, -1], Sequence[1, 20]) → numlist
  2. Sequence(1, 10) → denomlist
  3. Sequence(-20, 20) → blist
  4. Sequence(11, 50) → n
  5. RandomElement(blist) → b
  6. FractionText(s) → text1
  7. Denominator(s) → a
  8. Textfield(g) → InputBox1
  9. Sequence(i, i, 1, 20, 1) → kseq
  10. RandomElement(kseq) → k
  11. Textfield(d) → InputBox2
  12. Sequence((a * i), i, 5, 75, 1) → deonm2list
  13. RandomElement(deonm2list) → chosenans
  14. Textfield(e) → InputBox3
  15. PointIn(x ≥ 0) → A
  16. PointIn(x ≥ 0) → B
  17. Slope(eq1) → c
  18. Intersect(eq1, x = 0) → C
  19. Intersect(p, eq2) → E
  20. Segment((0, y(E)), E) → j
  21. Segment(D, E) → l
  22. Intersect(p, q) → G
  23. Segment(F, G) → r
  24. Segment(G, H) → t
  25. Line(A, B) → f_1

AI Drawing Prompt Reference

Create an interactive coordinate-graph practice for writing linear functions. Start by placing two points constrained by x≥0, then draw the line passing through them and ensure the line’s slope and its y-intercept are represented. Include input fields for students to enter candidate parameters, along with a fraction-style display for coefficients and a random selection of slope/intercept values. Use intersections of the line with the axes (notably with x=0) to mark the intercept point and verify the chosen equation, and connect the relevant intersection points with segments to highlight the relationships while keeping the full line visible through the two defining points.
The prompt above was compiled from the original drawing commands and is for reference only.