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Assessment
Illustrative Mathematics

Three Composing/Decomposing Problems

For Students 2nd Standards
Practice composing and decomposing numbers in base-ten using three word problems. Each problem presents a different scenario requiring learners to explain their thinking, find the number of ones, and find out different ways to make a...
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Lesson Plan
Illustrative Mathematics

Shake and Spill

For Teachers Pre-K - 1st Standards
Entertaining as well as educational, this math activity about decomposing numbers is bound to capture the engagement of young learners. Given a cup and five two-color counters, young mathematicians simply shake and spill the cup,...
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Lesson Plan
Illustrative Mathematics

What’s Missing?

For Teachers Pre-K - 1st Standards
Now you see them, now you don't! This fun peek-a-boo activity engages young mathematicians in developing their ability to compose and decompose numbers. After being presented with a series of counters, children close their eyes while the...
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Lesson Plan
Curated OER

Playing the Cards of Place Value

For Teachers 3rd - 4th
Third graders explore place value to the ten-thousands place. In this amazing, 21-page place value instructional activity, learners represent numbers in standard and expanded form, and use technology to represent numbers to 9,999.
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Lesson Plan
Illustrative Mathematics

Pick Two

For Teachers Pre-K - 1st Standards
Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...
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Lesson Plan
K20 LEARN

Decomposers—Fraction Style: Fractions

For Teachers 4th Standards
"What are fractions composed of?" is the essential question of a lesson designed to enhance understanding and strengthen the foundation of adding fractions. Mathematicians start by discussing what makes an equation true or false, then...
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Lesson Plan
K20 LEARN

Building Numbers: Addition And Subtraction Up To 10

For Teachers 1st Standards
Animals on Board! Stuart J. Murphy introduces scholars to composed numbers in preparation for writing and drawing true or false number sentences. A game of Bear in the Cave challenges pupils to locate a missing addend. Sorting number...
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Lesson Plan
Curated OER

Place Value & Picasso

For Teachers 3rd - 5th Standards
Place value to the millions is the focus of this math lesson. Third and fourth graders investigate multiple ways to represent a number. They examine place value while studying factual information about Pablo Picasso. Resources are provided.
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Worksheet
Noyce Foundation

Apple Farm Field Trip

For Students 1st - 3rd Standards
Monitor the growth of young mathematicians with a comprehensive addition and subtraction assessment. Using the context of a class field trip to an apple orchard, this series of four story problems allows children to demonstrate their...
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Lesson Plan
Pennsylvania Department of Education

Numbers Are Made of Parts

For Teachers K - 1st Standards
Children play with barnyard animal cards to practice composing and decomposing numbers. With their "secret number" of animal cards in a cup, they shake and spill them onto a barn story board, counting how many animals fall in the barn...
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Lesson Plan
Pennsylvania Department of Education

Thinking About Numbers from 1 to 20

For Teachers 1st - 2nd
Help your kindergarteners discover new number-sense concepts and to compose and decompose numbers. Though the resource contains no procedural details, the assessment tool (which you can find in the "printer friendly version") has lots of...
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Lesson Plan
Curated OER

Two-Digit Subtraction With and Without Regrouping

For Teachers 2nd
Second graders subtract two-digit numbers. In this mathematics lesson, 2nd graders subtract both with and without regrouping. Students use manipulatives and place value mats to assist in problem solving.
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Lesson Plan
Curated OER

Smart Cookie Factors

For Teachers 4th - 5th
Learners examine the concept of finding the greatest common factor. They complete number of activities as they practice identifying prime and composite numbers. Pupils apply rules of divisibility and find the greatest common factor while...
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Lesson Plan
Curated OER

Building Numbers to 5

For Teachers Pre-K - 2nd
Students compose groups of items up to the number 5. In this number 5 lesson plan, students also connect names to numbers, record sizes of groups, and compose and decompose groups.
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Lesson Plan
Curated OER

Plunge Into Place Value

For Teachers 2nd - 3rd
Students use expanded notation. In this mathematics lesson, students determine the place value of a digit within a whole number. Students use manipulatives, words, and symbols to represent whole numbers.
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Lesson Plan
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Alabama Learning Exchange

Miss Integer Finds Her Properties in Order

For Teachers 4th - 6th Standards
Access prior knowledge to practice concepts like order of operations and exponents. Your class can play this game as a daily review or as a warm-up activity when needed. They work in groups of four to complete and correct review problems.
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Lesson Plan
Curated OER

Building Sets of 13 and 14

For Teachers Pre-K - 1st
Compose and decompose sets of 13 and 14 and compare sets of each with your little learners. They use objects to construct sets of 13 and 14, record their answers, and compare sets in several different ways.
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Activity
Curated OER

Finding the Area of Polygons

For Teachers 3rd Standards
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
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Lesson Plan
Curated OER

What Are You - Prime or Composite

For Teachers 8th - 10th
Students explore the concept of prime factorization. In this prime factorization lesson, students participate in an activity where they find the prime factorization and greatest common factor of a number derived from their name. Students...
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Lesson Plan
Curated OER

Anchoring Numbers to Five and Ten

For Teachers 1st - 2nd
Students complete activities to relate numbers to each other. In this number connection lesson plan, students count number sets, count forward and backward, and complete other number recognition activities to learn how numbers are related.
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Unit Plan
ISTE

Macaroni Math - Unit Overview

For Teachers Pre-K - 2nd Standards
It's not just for lunch, mini mathematicians make use of macaroni to model addition and subtraction of numbers up to 10. They place macaroni pieces on their desk and take away to model subtraction, then write subtraction story problems....
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Lesson Plan
Curated OER

BASE-ic Space Travel

For Teachers 4th - 5th
In this 3-day place-value lesson, upper-elementary kids investigate the base 5 and base 2 systems as an introduction to exponents and powers. They create a pocket chart to help ground their understanding of bases, exponents, and powers,...
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Lesson Plan
Curated OER

Too Many Tens

For Teachers 2nd - 3rd
Young scholars practice grouping in different ways by putting numbers up to 1,000 in the correct place value. In this place value lesson plan, students estimate items in a jar and then count them out by grouping them by 10s.
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Unit Plan
National Security Agency

Fraction Fever

For Teachers 4th - 5th Standards
This unit on fractions allows for upper-aged elementary learners to explore ways to find the greatest common factor and least common multiple of two numbers. Ultimately, young mathematicians will be able to identify equivalent fractions,...