Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Curated OER
Going Back to Your Roots
Who doesn't need to know the Fundamental Theorem of Algebra? Use the theorem to find the roots of a polynomial on a TI calculator. The class explores polynomials with one solution, no real solutions, and two solutions. This less lesson...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Curated OER
Base Words and Prefixes
Once your second graders grasp base words and prefixes, challenge them with this visual word meaning activity. They watch you model it before engaging in guided practice. Use these word cards focused on the prefix re to help your...
Curated OER
Greek, Latin and Anglo-Saxon Roots to Better Vocabulary
Practice vocabulary skills with this word analysis lesson. Middle schoolers examine the roots of unfamiliar words and use their knowledge of roots to discern meaning through word analysis.
Curated OER
Exponential Expressions - Perfect Squares, Square Roots
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Curated OER
Principles of Square Roots Lesson Plan
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry instructional activity, pupils discuss square roots as it relates to a right triangle and construction. They go over...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Haut Gap Middle School
Root Words
Scholars demonstrate their knowledge of root words aqua and aud, and develop vocabulary skills by completing of a chart, handout, and worksheet using creative thinking skills, a dictionary, and a thesaurus.
Curated OER
Root Structures
Plant roots are the focus here. Pupils discover that some plants actually store food in their roots, that roots provide water for plants, and that gravity and sunlight have an effect on plants. This terrific, six-page plan has two...
Curated OER
Powers and Roots
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.
Curated OER
Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
Willow Tree
Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root...
West Contra Costa Unified School District
Square and Square Roots
Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.
Syracuse City School District
Greek and Latin Roots, Prefixes, and Suffixes
How can adding a prefix or suffix to a root word create an entirely new word? Study a packet of resources that focuses on Greek and Latin roots, as well as different prefixes and suffixes that learners can use for easy reference.
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
K20 LEARN
It’s All Greek to Me: Greek and Latin Roots
Ancient Greeks and Romans have contributed far more to modern culture than mythic heroes and stunning architecture. Greek and Latin roots are the foundation of many English words. Middle schoolers engage in an activity that asks them to...
Curated OER
Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Curated OER
BINGO with Greek and Latin Roots: Unit 1 Narrative Writing
Play BINGO! Reinforce knowledge of word roots with an adaptation of this classic board game. The teacher draws a root word from a bag and learners fill in a square with a word that has the same root base. Instructions and Bingo cards are...
Curated OER
Root Caps and the Effect on Gravity Sensing
Students conduct an experiment to determine how the absence of a root cap affects a plant's ability to sense gravity. They make comparisons between capped and decapped roots.
Illustrative Mathematics
Estimating Square Roots
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
Curated OER
Square Roots Using a Carpenter's Square
Middle schoolers calculate the square root of a given number using carpenter's square measurements. In this math instructional activity, students relate this method on the Pythagorean theorem. They answer practice problems after the...
Curated OER
Root Words from Greek and Roman Gods' Names
Prepare a stack of index cards with a Greek or Roman god's name on one side and their description on the other. Then, use the worksheet attached to brainstorm as many words that contain the root from each card. Pupils also create their...
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