Tens and ones

The  exercise appears under the Early Math Math Mission. This exercise studies the meaning of the tens place and units or ones place.

Types of Problems
There are three types of problems in this exercise:


 * 1) Add the grouped numbers: This problem provides a group of tens and a group of ones that are to be added together. The student is asked to write the correct sum in the space provided.Tao1.png
 * 2) Select the groupings that yield the number: This problem provides the student with a two-digit number. The student is asked to select all of the groupings of tens and ones that are representations of the given number.Tao2.png
 * 3) Analyze the place values of the number separately: This problem provides a two-digit number and the student is asked to identify either the ones or tens digit separately from the other digit.Tao3.png

Strategies
Knowledge of place values through tens is needed. Being able to name numbers under one hundred and understand their names would be an advantage.
 * 1) On the Add the grouped numbers problem read carefully. The tens number needs to be multiplied by ten before it is added to the ones number.
 * 2) On the multiple select problem you will need to sometimes select up to all four groups. The numbers of groups is "fair" so if you need seven "ones" they will not have an option with only six "ones" so far.

Real-life applications

 * 1) Understanding the place value helps to motivate our numbering system as motivated by the Hindu-Arabic numbering tradition.
 * 2) Place value helps to understand other numeration symbols such as the famous Mayan numeration system that received special interest in the year 2012.
 * 3) The abstraction of place value system is related to polynomials that are developed in Algebra I and II.