Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value. 

Develop an understanding of the Map, Keep, and Combine operations. The lab leads the class through the exploration of three list operations. Each task contains a self-check to measure scholars' understanding of the operation in the...

From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...

Practice writing algebraic expressions from written phrases. The objective is to consider two seemingly similar phrases, write them as algebraic expressions, and then simplify using the order of operations. Learners are challenged to...

Straight to the point, learners are asked to compare a set of five expressions, determine which are equivalent, and then write equivalent equations for those that do not have any. A benefit is that they will review using properties...

Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...

To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson plan focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...

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...

Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...

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...

Fraction and integer operations follow the same rules.  Assess the depth of understanding with operations with rational numbers using a presentation from the Grade 7 Claim 1 Slideshow series. A set of slides presents 12 question and...

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...

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...

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...

It's time for them to show you what they've learned! The review provides a sampling of the different concepts learned throughout the eight-part series. Learners solve equations by combining like terms, applying the distributive property,...

A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...

Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.

Help the class visualize operations with complex numbers with a instructional activity that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a...

Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...

What is a million between friends? This fast food chain claims to serves a certain percentage of Americans every day. The resource agrees, but depending on how you calculate it, you could be a million off. Let your fast food munchers be...

Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...

It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.