Making your first million
http://illuminations.nctm.org/LessonDetail.aspx?ID=L367
A lesson plan for Grades 3–6 Mathematics
About this resource
- Appropriate grades
- 3–6
- Subjects
- mathematics (applied mathematics, arithmetic, number sense, probability)
- Provider
- National Council of Teachers of Mathematics
Legal
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Students will attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Illuminations provides an activity sheet for completion of the lesson. After students discuss large numbers considering real-life application, the teacher ask questions about the magnitude of such numbers. Students participate in a series of activities where they learn to count to the millions.
Students will:
- Use proportional reasoning in problem solving.
- Use standard and nonstandard measurement.
NCTM Standards and Expectations covered in this lesson include:
- Designing investigations to address a question and considering how data-collection methods affect the nature of the data set.
- Collecting data using observations, surveys, and experiments.
- Recognizing equivalent representations for the same number and generate them by decomposing and composing numbers.
- Understanding the place-value structure of the base-ten number system and being able to represent and compare whole numbers and decimals.
- Developing and using strategies to estimate the results of rational-number computations and judge the reasonableness of the results.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 3
- Goal 1: Number and Operations - The learner will model, identify, and compute with whole numbers through 9,999.
- Objective 1.01: Develop number sense for whole numbers through 9,999.
- Connect model, number word, and number using a variety of representations.
- Build understanding of place value (ones through thousands).
- Compare and order.
- Objective 1.02: Develop fluency with multi-digit addition and subtraction through 9,999 using:
- Strategies for adding and subtracting numbers.
- Estimation of sums and differences in appropriate situations.
- Relationships between operations.
- Objective 1.04: Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division.
- Objective 1.06: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
- Objective 1.01: Develop number sense for whole numbers through 9,999.
- Goal 4: Data Analysis and Probability - The learner will understand and use data and simple probability concepts.
- Objective 4.01: Collect, organize, analyze, and display data (including circle graphs and tables) to solve problems.
Grade 4
- Goal 1: Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.
- Objective 1.01: Develop number sense for rational numbers 0.01 through 99,999.
- Connect model, number word, and number using a variety of representations.
- Build understanding of place value (hundredths through ten thousands).
- Compare and order rational numbers.
- Make estimates of rational numbers in appropriate situations.
- Objective 1.02: Develop fluency with multiplication and division:
- Two-digit by two-digit multiplication (larger numbers with calculator).
- Up to three-digit by two-digit division (larger numbers with calculator).
- Strategies for multiplying and dividing numbers.
- Estimation of products and quotients in appropriate situations.
- Relationships between operations.
- Objective 1.05: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
- Objective 1.01: Develop number sense for rational numbers 0.01 through 99,999.
- Goal 4: Data Analysis and Probability - The learner will understand and use graphs, probability, and data analysis.
- Objective 4.01: Collect, organize, analyze, and display data (including line graphs and bar graphs) to solve problems.
- Objective 4.04: Design experiments and list all possible outcomes and probabilities for an event.
Grade 5
- Goal 1: Number and Operations - The learner will understand and compute with non-negative rational numbers.
- Objective 1.01: Develop number sense for rational numbers 0.001 through 999,999.
- Connect model, number word, and number using a variety of representations.
- Build understanding of place value (thousandths through hundred thousands).
- Compare and order rational numbers.
- Make estimates of rational numbers in appropriate situations.
- Objective 1.03: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
- Objective 1.01: Develop number sense for rational numbers 0.001 through 999,999.
- Goal 4: Data Analysis and Probability - The learner will understand and use graphs and data analysis.
- Objective 4.01: Collect, organize, analyze, and display data (including stem-and-leaf plots) to solve problems.
- Objective 4.02: Compare and contrast different representations of the same data; discuss the effectiveness of each representation.
Grade 6
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.05: Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
- Objective 1.06: Use exponential, scientific, and calculator notation to write very large and very small numbers.
- Objective 1.07: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
