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Assessment
Concord Consortium

Squares and Cubes

For Students 9th - 10th Standards
The task is simple, but the solution is a little more complex. Learners must find the smallest number that results in a perfect square when multiplied by two and a perfect cube when multiplied by three. The task requires an analysis of...
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Lesson Plan
Curated OER

Comparing and Ordering Fractions, Mixed Numbers, and Decimals

For Teachers 4th - 5th
Create your own fraction kits by folding and labeling paper using fraction vocabulary. Learners then work in groups to use these in comparing and sequencing both whole numbers and fractions. They also create unit cubes and develop an...
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Worksheet
DK Publishing

Cubes of Small Numbers

For Students 5th - 6th Standards
Now that geometers know how to solve for square units, can they solve for cubed units? Explore this concept as scholars examine four cubes to solve for volume in each. A detailed example explains this process, but you may consider asking...
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Workbook
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University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
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Lesson Plan
EngageNY

Comparing Irrational Numbers

For Students 8th Standards
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers on a...
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Lesson Plan
Curated OER

Number Patterns: Square and Rectangular Numbers

For Teachers 5th - 8th
Students explore number patterns. In this number pattern lesson plan, students discover the attributes of square and rectangular numbers as well as the number patterns associated with them. Students complete worksheet activities that...
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Lesson Plan
Curated OER

Powers and Roots

For Teachers 8th - 10th
Eighth graders determine the square and cube roots of given numbers in this math lesson. They determine the missing number in a sequence. Additionally, they calculate the interior and exterior polygon angles.
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Lesson Plan
West Contra Costa Unified School District

Graph Square Root and Cube Root Functions

For Teachers 9th - 11th
Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.
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Lesson Plan
Curated OER

3-D Cubes

For Teachers 2nd - 4th
Students investigate cubes. For this geometric solids lesson, students review geometric concepts previously taught, then logon to a computer game in which they find cube figures and identify the shadow of hidden cubes.
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Lesson Plan
Virginia Department of Education

Simplifying Square Roots of Whole Numbers

For Teachers 7th - 9th Standards
Simplify your life by using a resource on simplifying square roots. Pupils review square roots and calculate values of given radical expressions using a calculator. The lesson concludes by having them consider the results to develop the...
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Lesson Plan
Alabama Learning Exchange

Finding Prime

For Teachers 5th - 7th Standards
Fifth and sixth graders explore prime numbers. They work with a partner to build rectangular arrays using twelve tiles. Factor pairs are noted and recorded on graph paper. Pupils construct rectangular arrays with a prime number and...
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Lesson Plan
Curated OER

Squares, Square Roots, and Exponential Expressions

For Teachers 7th - 8th
Students explore the concepts of square roots and exponential expressions. In this square root and exponential expression lesson plan, students complete an investigation called Building A Square Patio. Students use color tiles to develop...
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Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
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Worksheet
Curated OER

Addition Squares

For Students 1st
In this addition worksheet, 1st graders add together all the numbers going across and down 8 cubes. Students add any missing numbers in order for each addition math problem to be the same sum going across and down.
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Lesson Plan
Curated OER

Geoboard Squares

For Teachers 2nd - 3rd
Students create squares of different sizes on a geoboard. They find and describe a pattern. Students use the pattern to determine the number of squares possible on a 10-by-10 geoboard. They create squares with a horizontal base (and...
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Lesson Plan
Curated OER

The Five Number Game

For Teachers 3rd - 5th
Learners explain what it means to square numbers. They explain what it means to cube numbers. Students define prime numbers using their own language. They are introduced to the problem by playing one game as a class.
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Interactive
CK-12 Foundation

Whole Number Exponents: Teddy Bear Box

For Students 3rd - 6th Standards
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
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Lesson Plan
Curated OER

Cubed Containers

For Teachers 1st - 3rd
Learners explore volume in relation to centimeter cubes and other nonstandard units of measurement using small containers. They will use hands-on materials to practice this concept. You will need small objects and containers to set this up.
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Worksheet
Curated OER

Easy Worksheet: Simplifying Radicals

For Students 9th - 12th
In this simplifying radicals worksheet, students solve 18 short answer problems. Students simplify radicals of non-perfect square numbers. Students find the square and cube roots of positive rational numbers.
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Worksheet
Curated OER

Numbers and Expressions

For Students 7th - 9th
For this numbers and expressions worksheet, students write numerical expressions and verbal expressions. They translate algebraic expressions to number sentences and evaluate the expression. This two-page worksheet contains 30 problems....
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Worksheet
Curated OER

The Real Number System: Rational or Irrational

For Students 9th - 12th
In this real numbers worksheet, students determine if 14 expressions when simplified are rational or irrational.  Students take the square and cube roots of numbers to determine if the result is rational or irrational.
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Lesson Plan
Curated OER

Square Numbers

For Teachers 4th
Fourth graders demonstrate multiple ways to represent whole numbers, decimals, and fractions. Through demonstration and hands-on activities they model square numbers using arrays. Students visually determine that the array makes a square.
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Lesson Plan
Curated OER

Tangerine: Cubing Strategy

For Teachers 6th - 8th
Here's an activity that uses a reading comprehension strategy based on Bloom's taxonomy to focus readers' attention on key passages from Edward Bloor's Tangerine. Worthy of a place in your curriculum library.