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...

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...

Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...

To commute or not to commute, that is the question. The 26th segment in a 32-segment instructional activity focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply...

Express your wonder at this resource. Middle schoolers solve 10 short problems in the expressions and equations domain. They apply operations with scientific notation, set up and solve equations, and analyze linear equations.

There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...

Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...

Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...

Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...

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...

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...

Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...

It's all in the numbers. Determine your pupils' level of understanding of scientific notation using this assessment task. The final lesson in the series assesses scholars on the application of scientific notation in real-life...

Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept. 

How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis. 

There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...

There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for...

How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...

Test your scholars' knowledge of a multitude of concepts with an assessment aligned to the California math standards. Using the exam, class members show what they know about the four operations, positive and negative numbers, statistics...

Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...

Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...

Assess scholars' knowledge with a 22-page assessment that covers place value, patterns, probability, estimation, measurement, geometric figures; and their ability to add, subtract, multiply and divide proficiently. 

The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...