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Classroom Idea: Understanding Number Theories

Activity

Classroom Idea: Understanding Number Theories

Grade Levels

5th Grade

Course, Subject

Mathematics
Related Academic Standards
CC.2.1.5.B.1 CC.2.1.5.B.1
Apply place value to show an understanding of operations and rounding as they pertain to whole numbers and decimals.
CC.2.1.5.B.2 CC.2.1.5.B.2
Extend an understanding of operations with whole numbers to perform operations including decimals.
M05.A-T.1.1.1 M05.A-T.1.1.1
Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left. Example: Recognize that in the number 770, the 7 in the tens place is 1/10 the 7 in the hundreds place.
M05.A-T.1.1.2 M05.A-T.1.1.2
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Example 1: 4 × 10^2 = 400 Example 2: 0.05 ÷ 10^3 = 0.00005
M05.A-T.1.1.3 M05.A-T.1.1.3
Read and write decimals to thousandths using base-ten numerals, word form, and expanded form. Example: 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (0.1) + 9 × (0.01) + 2 × (0.001)
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Authors

Mathematics Resource Guide with Core Curriculum Writing Team

Note

This "classroom idea" is provided to illustrate examples of each performance indicator. Teachers should feel free to use it or adapt it if they so desire. Some of the ideas exemplify more than one performance indicator and/or incorporate topics in science and technology. In those instances, the appropriate performance indicators will be identified.

Description

Using a calculator, which operates on fractions, enter two numbers as a fraction. (Let the smaller number be the numerator.) Students use the simplify key to get the fraction in lowest terms and keep track of what number was factored out each time. Have students explain how the calculator simplified the fraction and how the factors could be used to find a greatest common factor. (The simplify function factors out prime numbers starting with 2 and continues until all common factors are factored out. If students multiply all the factors, they will have the greatest common factor.)

Source

Mathematics Resource Guide with Core Curriculum Writing Team. “Classroom Ideas.” Mathematics Resource Guide with Core Curriculum, New York State Department of Education, 79.
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