How to Reason

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Mathematics, Problem Solving

Grade 1- 3


Students wil learn to make conclusions from facts in a logical way, or to reason.


Geometric Shapes
Have the students draw and cut out paper shapes of rectangles, squares, trapezoids, and triangles. Discuss their different properties. For example, talk about the number of equal and unequal sides.
Then, ask questions about the shapes. For example, How are they alike or different? or Which do you see more/less of? Have the students look around their houses, apartments, or neighborhoods for examples of shapes.
Place Value
Review the following fact: the place of a digit in a numeral tells its value.
325-3 has the place value of hundreds, 2 has the place value of tens, 5 has the place value of ones
Have students look for numbers in everyday experiences. For example, the values of page numbers in a book or on a restaurant menu. Then, ask questions about the place value of digits, such as What place do you think the 3 is in the number 36?
Even/Odd Numbers
Review the following facts:
Even numbers end with 0, 2, 4, 6, or 8.
Odd numbers end with 1, 3, 5, 7, or 9.
Help the child to recognize even/odd numbers in everyday life. Ask how the child applied reasoning to his or her recognition.


copies of the activity sheets (see the link below)

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