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Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
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...
Assessment
Charleston School District

Review Unit 7: Real Numbers

For Students 8th Standards
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Activity
Illustrative Mathematics

Identifying Rational Numbers

For Teachers 7th - 9th Standards
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
Lesson Plan
Illustrative Mathematics

Calculating and Rounding Numbers

For Teachers 7th - 9th Standards
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
Assessment
Charleston School District

Pre-Test Unit 7: Real Numbers

For Students 8th - 9th Standards
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Lesson Plan
EngageNY

Rational Numbers on the Number Line

For Students 6th Standards
Individuals learn how to plot rational numbers on the number line in the sixth lesson of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
PPT
Curated OER

Alice in Fractalland

For Teachers 4th - 8th Standards
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
Lesson Plan
Curated OER

Number Patterns: Square and Rectangular Numbers

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

Missing Numbers On a Number Square

For Students 1st - 2nd
In this number order worksheet, students analyze four number squares with missing numbers. All are parts taken from the 1-100 square. Students fill in the missing numbers, telling what comes before, after or between the clue numbers...
Worksheet
Curated OER

Square & Rectangular Numbers

For Students 6th - 8th
In this number pattern worksheet, students respond to 4 multi-step questions that regarding square and rectangular numbers as well as the number patterns associated with them.
Worksheet
Curated OER

Complete the Square: Increments of 9

For Students 1st - 3rd
In this numbers in increments of 9 worksheet, students fill in 60 blank squares with numbers from 0 to 891. Students figure out each square in increments of 9.
Lesson Plan
Curated OER

The Magic Squares

For Teachers 5th
Fifth graders devise and use problem solving strategies to solve a magic square arrangement. In small groups they explore various strategies including non-algebraic and algebraic techniques, write an explanation of their solution, and...
Lesson Plan
EngageNY

Replacing Letters with Numbers

For Teachers 6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
Activity
Curated OER

The Old Man and the Sea: Magic Squares

For Teachers 9th - 12th Standards
Review the vocabulary from Ernest Hemingway's The Old Man and the Sea with a magic squares activity. To find the magic number, readers match the numbers on a grid with the words and definitions from the novel.
Lesson Plan
Brigham Young University

Rosencrantz and Guildenstern Are Dead: Word Squares

For Teachers 9th - 12th Standards
Encourage your class to use a variety of strategies to learn and retain vocabulary words. The plan suggests that near the beginning of your reading of Rosencrantz and Guildenstern Are Dead pupils should find words in the text that are...
Worksheet
Curated OER

Night: Vocabulary Activity, Magic Square

For Students 9th - 12th
As part of a study of vocabulary found in Elie Wiesel's Night, readers complete a magic square using the provided words and their definitions.
Worksheet
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Kuta Software

Quadratic Equations with Square Roots

For Students 9th - 12th Standards
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions...
Lesson Plan
Curated OER

Looking Through the Algebraic Lens

For Teachers 3rd - 5th
Students work with rectangles to find generalizations for adding and subtracting odd and even numbers in part one of the lesson. In part two, students use geoboards to construct polygons, look for patterns, and find a general rule.
Lesson Plan
National Security Agency

Borrowing from Our Neighbors

For Teachers 2nd - 4th Standards
Young mathematicians explore two-digit subtraction. They will investigate multiple ways to subtract numbers involving regrouping. Resources are provided.
Lesson Plan
Curated OER

Stretching the Truth

For Teachers 6th
Sixth graders visualize different percentages as parts of a whole on visual images. They observe alterations of photographs, and models of circles, squares and sets. This incredibly detailed, eight-page plan leads you through everything...
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...
Lesson Plan
Curated OER

Concept: Square Root

For Teachers 7th - 10th
For this square root worksheet, young scholars solve problems with exponents. They find the square root of given numbers. Students ill in missing numbers on a radical clock face. This eleven-page worksheet contains notes, detailed...
Lesson Plan
Curated OER

Fun With Calendars

For Teachers 7th - 12th
Pupils use four numbers to find calendar dates that form square numbers. In this square numbers lesson, students use algebraic equations to calculate and locate number patterns using a monthly calendar.

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