Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.

There is no substitute for checking the solution. A short introduction to the substitution method of solving systems of equations is an ideal resource for algebra classes. The slides present steps for the substitution method and...

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Learners solve linear equations. By observing the graph of each side of an equation using the TI-nspire graphing calculator, your class gains insight into solutions, as well as balancing equations and transforming linear equations....

If you need some creative ways to teach the order of operations, use a series of activities that focus on properties. Each instructional activity uses different materials and works as a stand-alone activity, or can build upon the...

There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

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...

Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...

Welcome learners to the world of algebra. Use a lesson that poses a situation involving the profit from creating greeting cards to teach about algebra. It requires scholars to use linear functions and inequalities to solve problems.

Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...

You'll return to this resource again .. .and again ... and again. Class members determine the maximum profit of a boomerang-making business by solving a system of equations. They then review and analyze provided sample responses to...

Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.

Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.

Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.

Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...

Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.

Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.

Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

Weighted averages can be tricky to explain! However, this study guide makes it easy for teachers by including definitions, explanations, and breaking down problems into three steps. Includes mixture problems and uniform motion problems.

What happens when you combine 6.022 times 10 to the 23 piles of dirt into one? You make a mountain out of a mole hill. Scholars use dehydration to obtain percent composition and then calculate the molarity of the original...

Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...

Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively. 

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...