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Illustrative Mathematics
Numbers in a Multiplication Table
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Curated OER
Investigating Square and Triangle Numbers
Fifth graders build increasingly larger squares and triangles using pattern blocks. They record the growth patterns on a chart and look for corresponding numerical patterns. Students describe the patterns they find and use them to...
Curated OER
Square Numbers
Fourth graders use square tiles to help them explain the concept of square numbers.
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...
Alabama Learning Exchange
Imaginary Numbers? What Do You Mean Imaginary?
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
Novelinks
The True Confessions of Charlotte Doyle: Magic Square Vocabulary
After reading chapter one of The True Confessions of Charlotte Doyle by Avi, take part in a magic square vocabulary activity in which scholars match the term with its definition and insert its corresponding number in to...
Curated OER
Comparing and Ordering Fractions, Mixed Numbers, and Decimals
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...
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Curated OER
Sea Squares
In this sea squares worksheet, 10th graders solve 5 different problems that include various geometrical figures. First, they draw a number line using one color. Then, students draw 2 obtuse angles and 3 isosceles triangles with different...
Curated OER
Investigation - Square Numbers and Triangle Numbers
Fifth graders investigate growth patterns using blocks. In this square and triangle numbers lesson, 5th graders predict sizes of larger triangles and squares based on numerical patterns they observed while building.
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...
Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not...
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...
EngageNY
Existence and Uniqueness of Square Roots and Cube Roots
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...
EngageNY
Solving Quadratic Equations by Completing the Square
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
EngageNY
Simplifying Square Roots
Explore the process of simplifying square roots through an analysis of perfect squares. The fourth lesson plan of 25 expects individuals to find the perfect square factors in each radicand as a means of simplifying. The perfect square...
Curated OER
Pride and Prejudice: Magic Square Activity
Turn Pride and Prejudice into a math activity with a magic squares lesson. Kids read nine character traits and pair them to a list of the book's characters in order to complete the activity and find the magic number.
Curated OER
Shizuko’s Daughter: Magic Square
Vocabulary really adds up with magic squares! Using words from Shizuko's Daughter by Kyoko Mori, kids line up words and definitions to come up with the same sum across and down the square.
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
EngageNY
Comparing Irrational Numbers
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...
Code.org
Binary Numbers
All you need is a zero and a one. Build pupils' understanding of binary values and number systems to gain familiarity with binary numbers. Using a hands-on activity and technology, scholars learn how the binary system works and its...
Novelinks
The Joy Luck Club: Vocabulary Strategy (Magic Squares)
As part of their study of Amy Tan's The Joy Luck Club, readers engage in a magic squares vocabulary activity.
EngageNY
Does Every Complex Number Have a Square Root?
Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it...
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