CPM Homework Banner

Home > CC3 > Chapter 1 > Lesson 1.1.4 > Problem 1-33

1-33.

On your paper, copy the Diamond Problems below and use the pattern you discovered earlier to complete each of them. The pattern is shown at right. Some of these may be challenging!

Generic Diamond Problem. One number, X, is located on the left side. The second number, Y, is located on the right side.  The bottom number is the sum of the two numbers, X and Y. The top number is the product of the two numbers, X and Y.

  1. Diamond Problem. Left 6, Right 11,  Top blank,  Bottom blank

    For Diamond Problems where you have the right and left numbers, simply find their product to fill in the top space and their sum for the bottom space.

  1. Diamond Problem. Left negative 1, Right 4,  Top blank,  Bottom blank

    Make sure not to forget about the negative sign! The product of a positive and negative number should be negative.

    Diamond Problem. Left negative 1,  Right 4,  Top negative 4,   Bottom 3

  1. Diamond Problem. Left blank, Right negative 2,  Top 6,  Bottom blank

    Remember that a negative number must be multiplied by another negative number in order to have a positive product.

    Diamond Problem. Left negative 3,  Right negative 2,  Top 6,  Bottom negative 5

  1. Diamond Problem. Left blank,  Right blank, Top negative 8,  Bottom 7

    Try listing the factors of the top number. Which pair of factors result in the bottom number when added?

    Diamond Problem. Left negative 1,  Right 8,  Top negative 8,  Bottom 7

  1. Diamond Problem. Left 1 half,  Right 1 half,  Top blank,  Bottom blank

    When multiplying fractions, find the answer by writing the product of the numerators over the product of the denominators.

  1. Diamond Problem. Left: 1 third,  Right 3 fourths,  Top blank,  Bottom blank

    What is the lowest common denominator?

  1. Diamond Problem. Left x,  Right x,  Top blank, Bottom blank

    Is there a better way to write the product than ?

  1. Diamond Problem. Left a,  Right b,  Top blank,  Bottom blank

    See the example below.

    Generic Diamond Problem. One number, x, is located on the left side. The second number, y, is located on the right side.  The bottom number is the sum of the two numbers, x and y. The top number is the product of the two numbers, x and y.