# Numbers and Operations Teacher Resources

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#### Grade 2 Supplement Set A1 – Numbers and Operations: Addition and Subtraction

Using unifix cubes, a spinner, a number line, and fact family triangles second graders will play their way to subtraction competency. They engage in a series of activities that has them playing game that require them to add and subtract...

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#### Complex Numbers

Learners are introduced to the concept of imaginary unit and complex numbers. They are taught how to add and subtract complex numbers. Students define a complex number. They comprehend at least two applications of complex numbers....

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#### Complex Numbers

The class practices, on paper and/or on a TI graphing calculator the concepts of how to add, multiply, divide and subtract complex numbers using the correct property.

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#### Introduction to Order of Operations

First demonstrating the improper ways of solving an equation (left-to-right, multiplication first), Sal shows viewers how the answer of an equation can be drastically incorrect by neglecting to use the order of operations. He uses...

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#### More Complicated Order of Operations Example

Demonstrating a "really hairy and beastly problem," Sal again shows the power and importance of solving an equation according the order of operations. Additionally, he guides viewers through a step in the equation when there are multiple...

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#### Dividing Mixed Numbers

Before Sal can divide a mixed number, he has to rewrite it as an improper fraction. He explains that dividing a fraction is the same as multiplying it by its reciprocal and that you can "cancel out" numbers to make multiplying easier.

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#### Adding Whole Numbers and Applications 1

Adding double-digit numbers can seem difficult for some students. But, this Khan Academy video makes this process clear in a developmentally sound way. Students watch as 'Sal' adds the number 46 to 43. He references each number by its...

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#### Formative Assessment Task: Number and Operations in Base Ten

Engage your class in developing their understanding of place value with this simple hands-on activity. Presented with a multi-digit number, young mathematicians use the provided digit cards to create numbers in response to a series of...

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#### 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.

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#### Rewriting Numbers as Tens and Ones

Unpack double-digit numbers using this fantastic graphic organizer featuring eight place value problems. Learners separate each number into tens and ones, then write it out by completing a sentence frame. As they work through the...

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#### Pathways to Double-Digit Addition

By adding the tens and ones place separately, beginners to addition can easily complete 10 double-digit addition problems. This is an excellent worksheet, as it visually sets learners up on the pathway to this strategy. They simply...

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#### The Order of Operations

Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...

EngageNY

#### An Appearance of Complex Numbers 2

Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...

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#### Order of Operations

Some terrific practice in solving math equations that have a specific order of operations component built into them. Some of the problems have parentheses, and all four operations are present in the problems. Pupils solve 50 problems and...

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#### Imaginary Numbers Are Real (Part 9: Closure)

The last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex numbers, to have a set of...

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#### What is Place Value for Whole Numbers?

Whole numbers are the natural numbers including zero. The instructor illustrates and explains place value. She draws a place value chart and then defines each term and what the numbers mean. She writes a number in standard form and then...

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#### Imaginary Numbers Are Real (Part 3: Cardan's Problem)

Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...

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#### Imaginary Numbers Are Real (Part 6: The Complex Plane)

How do addition and subtraction work on the complex plane? A short video presentation provides a clue on how to add complex numbers geometrically. The video ends with four problems to determine the rules for multiplication on the complex...

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#### Complex Numbers (Part 2)

This video continues looking at dividing complex numbers by looking at the conjugate of a complex number. The instructor then uses the conjugate to rationalize the denominator of a rational expression with a complex number in the...

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#### Complex Numbers (Part 1)

In this video, a complex number is defined and graphed on the complex plane. Sal also shows how to add, subtract, and multiply two complex numbers. He starts showing how to divide two complex numbers, but runs out of time and continues...

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#### Grade 1 Supplement A2 – Number and Operations: Numerals to 1,000

What a fun set of math operations activities! First, the mysterious Digit Switcher writes letters to your first-graders, challenging them to recognize patterns in three-digit numbers. Then, the class works together analyzing three-digit...

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#### Complex Numbers (Part 1)

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#### Divide with Two-Digit Divisors Using Base Ten Blocks

How does multiplication help when dividing a number? Prepare your number crunchers to become fluent in dividing multi-digit numbers by relating base ten blocks to the standard algorithm with this video. Reinforce students’ understanding...

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#### How Do You Write a Whole Number Given in Expanded Form in Standard Form and in Words?

You've been given a number written in expanded form. You have to write it in standard form, and in word form. The instructor does a nice job illustrating and explaining just how to do both of these operations.