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Lessons
Count on Math 2: Making Your First Million
Discipline
Mathematics
Grades
4, 5, 6
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Professional Commentary

In this second of two lessons on developing number sense, students begin to apprehend the size of one million by figuring out how long is a million days, how long would it take to count to one million on a calculator, how long would it take to write the numbers from 1 to 1,000,000, and other such questions. An activity sheet and lesson extensions are included. This lesson is adapted from an article published in the February 1996 issue of Teaching Children Mathematics. (sw)


Common Core State Standards for Mathematics
Grade 4
Number and Operations in Base Ten
Generalize place value understanding for multi-digit whole numbers.
4.NBT.A.2 
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Grade 5
Number and Operations in Base Ten
Understand the place value system.
5.NBT.A.1 
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
5.NBT.B.5 
Fluently multiply multi-digit whole numbers using the standard algorithm.
Grade 6
The Number System
Compute fluently with multi-digit numbers and find common factors and multiples.
6.NS.B.2 
Fluently divide multi-digit numbers using the standard algorithm.
6.NS.B.3 
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Ohio Mathematics Academic Content Standards (2001)
Number, Number Sense and Operations Standard
Benchmarks (3–4)
L.
Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.
Benchmarks (5–7)
I.
Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.
Grade Level Indicators (Grade 4)
13.
Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.
Grade Level Indicators (Grade 6)
14.
Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions.
Principles and Standards for School Mathematics
Number and Operations Standard
Compute fluently and make reasonable estimates
Expectations (3–5)
select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.
Expectations (6–8)
develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.