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Numeration Math Lessons for Third Grade

By the time students enter third grade, they should have a good grasp of numbers, because the math they will learn begins to get a little harder. Fractions, graphing, logical reasoning and even simple geometry will likely be part of their teacher's lesson plans. It is important that third grade students grasp the concept of numeration, which is the act of counting or numbering, so that they can easily transition to more difficult concepts.
  1. Number Sequencing

    • Create a lesson that features several numbers in a row that go up or down the same amount each time. Provide the students with a worksheet with 10 or more of these concepts and have them fill in the blanks.

      For another number sequencing lesson, create a number block on the board that that has 10 squares across and 10 squares down. Fill in the blanks of the squares with numbers in order on each so that the top row goes from 1 to 10, the second row goes from 11 to 20 and so on. Leave at least two or three number squares blank on each and have the students come to the board and fill in the blank boxes with the correct number.

    Writing Numbers as Words and Letters

    • Introduce students to Roman numerals as part of a lesson plan. Explain to them each symbol -- such as V equaling five, XX equaling 20 and XC equaling 90 -- then have them work on a worksheet that lists various combinations and have them write out Arabic numeral equivalents. List a more difficult Roman number, such as LXXXIX, as an extra credit question.

    Comparing Numbers

    • Create a lesson that teaches your students about the greater than and less than symbols, which will be a good stepping stone to future lessons and will also help them learn numeration. Make up a worksheet that has three vertical columns sectioned off by boxes. Write several numbers -- up to 1,000 -- written in right-hand column boxes. Leave the middle column boxes blank and fill in numbers into the left-hand column boxes. Ask the students to notate whether the numbers in the right-hand column are greater than, less than or equal to the column on the left-hand side, using the appropriate symbols.

    Compare Numbers Using Addition and Subtraction

    • Using the last lesson as a basis, incorporate the use of addition and subtraction into your lesson plan. Create a worksheet with seven vertical columns segmented by boxes. Place numbers in the first, third and fifth columns, addition or subtraction symbols in the second and sixth columns and less than, greater than or equal symbols in the fourth column. Leave the last column blank so they can fill in their answer. Don't create answers that end up as a negative answer, at least not initially. Have them determine the answer based on the way the question is written -- supply multiple choice answers for them to use.

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