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From the education reference

number sense: An intuitive understanding of numbers, their magnitude, relationships, and how they are affected by operations.
number theory: The study of the relationships and properties of integers, including prime numbers, sequences, etc.

Topics in Mathematics Education: In Preservice teacher education resources, page 4.2; Resources Specific to Math Math Teaching Methods Numbered Heads Together Numbered heads together is a cooperative strategy that offers an...; Format: article/teacher's guide

More, less, and equal: Students will identify sets and numbers that are more, less, or equal to each other while participating in a variety of games and activities.; Format: lesson plan (grade K Mathematics); By Rachel Fiscus.

Order, please: This lesson lets students interact with rational numbers to create largest and smallest possible numbers.; Format: lesson plan (grade 4 Mathematics); By Gail Poteat.

Exploring place value with M&Ms: This lesson will use M&Ms to explore place value. The students are given 8-10 M&Ms and assigned a value for each color from one to hundred thousand. The students will then write their number in standard, written and expanded form. The students will also identify the place and value of various digits.; Format: lesson plan (grade 4 Mathematics); By Amy Bullins.

Developing number sense with Baa Baa Black Sheep: In Mother Goose in use: Rhymes that teach, page 9; In this kindergarten lesson, students will use the nursery rhyme "Baa Baa Black Sheep" to practice non-locomotor skills by acting out the rhyme, and will develop number sense by participating in a number-matching activity.; Format: lesson plan (grade K English Language Arts, Healthful Living, and Mathematics); By Lisa Wright.

Place the value: This activity allows students to create 3-digit numbers while strategically trying to "out value" their opponents' values.; Format: lesson plan (grade 2 Mathematics); By amy cord.

Number fun: Students will use games to recognize numbers. They will match the number with a set of objects. This is a two day lesson with 45 minutes each day.; Format: lesson plan (grade K Mathematics); By Kay Nix.

A mathematical model to describe fluid behavior: Middle school students will learn how to use math to model and predict natural phenomena. Through hands-on labs, students will explore the behavior and effects of fluid in and around objects and organisms. Students will investigate and create fluid transport systems and gather data to calculate natural frequencies. Using scale models to gain a better understanding, they will use data to predict real-life effects on trees and other structures.; Format: lesson plan (multiple pages)

Place value to the thousands place (review activity): Students will use number cards with the digits 0-9, and a place value chart with thousands, hundreds, tens, and ones columns to play this game using place value.; Format: lesson plan (grade 2 Mathematics); By Beth Evans.

Everybody show: This math game teaches number recognition and progression, and strengthens rote counting skills.; Format: lesson plan (grade K Mathematics); By Mary Waldrup.

Number sense every day: Number sense – an intuitive feel for numbers and their relationships – develops when children solve problems for themselves.; Format: article; By Lisa Wilson Carboni.

Crossed up hundreds board: Students will experience patterns and problem solving on the Hundreds Board.; Format: lesson plan (grade 3–4 Mathematics); By Karen Bartlett.

Distribution of land and slaves: In Antebellum North Carolina, page 1.1; In this activity, students analyze census data and maps to understand the distribution of land, wealth, and slaves in antebellum North Carolina.; Format: activity; By David Walbert.

Anthill number round-off: The purpose of this lesson is to give students a visual aid to help them round off numbers to the nearest ten or hundred.; Format: lesson plan (grade 2–3 Mathematics); By Phyllis Roberts.

Number combinations: Students will use green and blue craft pom-poms to explore number combinations to five.; Format: lesson plan (grade K Mathematics); By Beth Deyton.

Even human beings are odd!: The lesson will broaden students' knowledge of even and odd numbers through interesting activities and by relating that knowledge through real-life experiences.; Format: lesson plan (grade 2 Mathematics); By Jackie Barrett.

Rounding ball: This lesson is designed to help students become more efficient at rounding numbers to tens and hundreds using mental math methods. It will help students become quick thinkers and stay focused.; Format: lesson plan (grade 3 Mathematics); By Brenda Seymour.

Friendship addition: This lesson introduces students to the concept of basic single digit addition.; Format: lesson plan (grade K Mathematics); By Jennifer Barbee.

Managing a plantation: Expenses: In Antebellum North Carolina, page 2.12; Page from an account book kept by Duncan Cameron, a wealthy North Carolina planter, listing his business with a Petersburg merchant in 1841–42. Includes historical commentary.; Format: document/primary source; Commentary and sidebar notes by L. Maren Wood.

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 4–5 Mathematics); By Becky Boney.

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