LEARN NC

K–12 teaching and learning · from the UNC School of Education

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.

Resources aligned to this objective

Place value power
This lesson plan incorporates 3 modalities, which will hopefully help students use the ones/units period, the thousands period, and the millions period to compare numbers in a variety of forms.
Format: lesson plan (grade 5 Mathematics)
By Becky Boney.
Everyday, ordinary Olympics
Students will use a stopwatch to time themselves performing in various events, record data, and then compare and order decimals to determine bronze, silver and gold medal winners.
Format: lesson plan (grade 5 Mathematics)
By Linda Hill-Wise.

Resources on the web

Virtual pattern blocks
In this lesson, one of a multi-part unit from Illuminations, students use virtual fractions to problem-solve and reason with fractions. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Understanding Rational Numbers and Proportions
Students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving. (Learn more)
Format: lesson plan (grade 5–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Super Bowl scores
In this lesson, one of a multi-part unit from Illuminations, students explore the connections between mathematics and football. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Super Bowl scavenger hunt
In this lesson, one of a multi-part unit from Illuminations, students bring home an activity sheet designed to have families examine some enjoyable (and, sometimes, obscure) questions using mathematics during the Super Bowl game. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Post-Office Numbers
Students participate in activities in which they focus on the role of numbers and language in real-world situations. (Learn more)
Format: lesson plan (grade 4–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Patterns and products
In this lesson, one of a multi-part unit from Illuminations, students focus on generating the multiplication facts and using a hundreds board and a calculator. Then, they record their current level of multiplication fact mastery on a multiplication table. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Multiplication stories
In this lesson, one of a multi-part unit from Illuminations, students practice memorization of multiplication facts where one factor is 6 or 7. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
More patterns with products
In this lesson, one of a multi-part unit from Illuminations, students use an interactive Web site to find patterns in the multiplication tables. They then practice multiplication facts and record their current level of mastery. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
More fun with fraction strips
In this lesson, one of a multi-part unit from Illuminations, students work with fraction strips to compare and order fractions. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Making your own product game
In this lesson, one of a multi-part unit from Illuminations, students review strategies for playing the Product Game. (Learn more)
Format: lesson plan (grade 3–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Making your first million
In this lesson, one of a multi-part unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100. (Learn more)
Format: lesson plan (grade 3–6 Mathematics)
Provided by: National Council of Teachers of Mathematics
Investigating fractions with pattern blocks
This lesson, one of a multi-part unit from Illuminations, promotes problem-solving and reasoning with fractions as students investigate the relationships between various parts and wholes. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Hopping on the number line
In this lesson, one of a multi-part unit from Illuminations, students generate products using the number line model. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Finding multiplication patterns
In this lesson, one of a multi-part unit from Illuminations, students explore commutative properties, examine patterns when one factor is 6, and record known facts. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Exploring the value of the whole
In this lesson, one of a multi-part unit from Illuminations, students consider the size or value of the same fraction when different “wholes” are compared. This lesson promotes problem-solving and reasoning as the students compare similar fractions. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Every breath you take
This lesson, one of a multi-part unit from Illuminations, focuses on problem solving, reasoning, and communication skills. This lesson enables students to see connections among various mathematical concepts and principles in the real world. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Eggsactly with eighteen eggs
In this lesson, one of a multi-part unit from Illuminations, students continue to examine fractions as part of a set. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics
Create an address number: Grades 5-6
In this lesson, one of a multi-part unit from Illuminations, students look for all the possible solution sets for a mathematics problem involving a three-digit house number. (Learn more)
Format: lesson plan (grade 5–6 Mathematics)
Provided by: National Council of Teachers of Mathematics