This is aligned with the following California State Standards:
Combine two or more sets of objects to create a new set. Combine two or more parts (e.g., toys, shapes) to form a new whole. Demonstrate an understanding of addition by combining the objects of two or more sets.
Communicate understanding that in repeated addition problems, a single numerical value is added repeatedly (e.g., 6 + 6 + 6) and that one way to add a number a given number of times is by using skip-counting as a strategy (e.g., 6 + 6 + 6 can be added as 6, 12, 18). Use models, such as mathematical equations (e.g., 5 + 5 + 5 = 15), sets of manipulatives, or number line diagrams to represent a repeated addition problem.
Demonstrate multiplication by combining multiple sets containing the same number of objects. Communicate understanding that the number of sets times the number of objects in each set equals the total number of objects. Communicate understanding that in multiplication, one factor represents the number of elements in a group, the second factor represents the number of groups, and the product is the number obtained by multiplying two factors.
Recognize exponents [i.e., b, in expressions ab, where b indicates the number of times the base number (a) is to be multiplied (e.g., 23 = 2 x 2 x 2)].
Explain that when multiplying two base numbers raised to the same power, the problem equals the product of the base numbers with the same exponent, and that when multiplying (or dividing) two base numbers raised to different powers, the problem equals the product (or quotient) of the base numbers raised to the sum (or difference) of the exponents. Solve for when a nonzero number is raised to the 0 power, where the answer is always one.