Lesson 10

Multiplying Fractions by a Whole

Est. Class Sessions: 2

Daily Practice and Problems

Teacher Notes
X

TIMS Challenge

DPP item HH can serve as a Problem of the Week.

    1. 1/2
    2. 1/4
    3. 1/8
    4. 1/16
    5. 1/32
  2. A possible drawing and explanation for Question 1:

If you draw all the lines like in my drawing, part A is 1/2 of the square. Since B is half of A, B is 1/4. C is 1/2 of B so it is 1/8. There are 16 triangles the same size as D that is shaded, so D is 1/16 of the whole square. Since E is 1/2 of D, it is 1/2 of 1/16, or 1/32.

    1. 1/3
    2. 1/6
    3. 1/12
  2. The shaded shape is 2/12, 1/6
  3. Possible drawing and explanation:

    You can put 3 triangles the same size as A in the big triangle,
    so it is 1/3.
    B is 1/2 of A so it is 1/6.
    If you draw in the lines like I did, there are 12 triangles the size of C, so it is 1/12.

    The shaded shape is 2 triangles like C, so it is 2/12 and that is equivalent to 1/6.

HH. Triangle Fractions

  1. If the large square is one whole, find the fraction represented by each triangle.
    1. __________________
    2. __________________
    3. __________________
    4. __________________
    5. __________________
  2. Show in a drawing and tell how you know your answers to Question 1 are correct.
  3. If the large triangle to the right is one whole, find the fraction represented by each smaller triangle.
    1. __________________
    2. __________________
    3. __________________
  4. Write two equivalent fractions for the shaded rhombus in the large triangle.
    _________________________________________
  5. Show in a drawing and tell how you know your answers to Questions 3 and 4 are correct.