Factor Kids

Topic:
Algebra
Tools Input Box Text Button Graphics Formatting Introduction: Students use grids of virtual algebra tiles to interpret and solve binomial multiplication problems of the form (x + b)(x + d), where b and/or d is positive. Students build grids whose dimensions correspond to the binomial factors and then find and add the partial products to determine the overall product.  Part A: Poster presentation Lesson Title: Factor Kids Grade Level: Grade 8 to 10 (Secondary Education) Learning objective(s):
  • Students will find the products of two binomials using a grid of algebra tiles.
  • Students will use virtual algebra tiles to expand binomial multiplication problems of the form (x + b)(x + d), where b and/or d is positive.
  • Teacher cab design Factors Kids for x^2+bx+c of the form (x+a1)(x+a2)
Rationale:
  • Students will relate a multiplication problem represented in numerical form to the same problem represented with algebra tiles.
Activities: Using Poster Using GIFs Using Lessons Using Lab Part 2: GeoGebra applet is given below

Try New Question 10 times and learn the mechanism

Test Your Understanding with this game (at least 10 correct answer, Congratulations is expected)

Activities 1. Open GeoGebra and choose Graphing Perspective 2. Hide the Axes of the graph 3. Using Input Box write a=1, and Press Enter Key 4. Using Input Box write b=1, and Press Enter Key 5. Using Input Box write sum=a+b, and Press Enter Key 6. Using Input Box write product=a*b, and Press Enter Key 7. Using Input Box write f(x)= x^2+sum*x+product, and Press Enter Key 8. Using Text tool, select f as object, Press Enter Key Set the position of text 9. Using Input Box create following points A = (0, 0) B = (5, 0) Polygon(A, B, 4) [make sure the length of polygon is g, if necessary rename it] 10. Using Input Box create following rectangles Sequence(Polygon((x(B) + i, y(B) - b), (x(B) + i + 1, y(B) - b), (x(B) + i + 1, y(B) + g), (x(B) + i, y(B) + g)), i, 0, a - 1, 1) 11. Using Input Box create following rectangles Sequence(Polygon((x(A), y(A) - i), (x(A), y(A) - i - 1), (x(A) + a + g, y(A) - i - 1), (x(A) + a + g, y(A) - i)), i, 0, b - 1, 1) 12. Using Input Box create following points E= (x(D), y(D) + 1) F= (x(D) + g + a, y(D) + 1) Vector(E, F) 13. Using Input Box create following points  G=(x(D) - 1, y(D)) H=(x(D) - 1, y(D) - g - b) Vector(G, H) 16. Using Botton tool, create a button “New Question” Set the GeoGebra Script as below a=RandomBetween[1,9] b=RandomBetween[1,9]
Image

17. Apply the Graphics Formatting features as below

17. Apply the Graphics Formatting features as below