Three chapters worth of integer, fraction, and decimal problems to give you every type of question your learners need to be a successful mathematician. Thankfully the work has been done for you and this is a huge resource full...

Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...

Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...

One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...

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.

Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...

Learners find out the meaning for prefixes used in math vocabulary. By dissecting words used in everyday math, they figure out what the prefix indicates and what the word means. A variety of well-organized worksheets and activities...

Explore the concept of money and research its origin. There are many concepts related to business math, thusly, there are many formulas used to make calculations around money. Exchange rates of money in different countries, interest,...

Investigate the case of two negatives making a positive. Pupils fill in a quadrant system to generate the products of integers. They analyze the quadrants to find patterns and relationships to help complete the table values. The teacher...

Use this learning exercise as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...

Second graders are exposed to algebraic thinking by exploring the concept of a variable. They tell how many years have passed since they've seen a favorite teacher and then examine how they arrived at this number. They write equations.

Seventh graders translate word sentences to algebraic expressions. In groups of three, 7th graders determine the number of times their heart beats in fifteen seconds. Using this data, they calculate the heartbeats per minute, in five...

Learners are given instruction on how the class will work. In this math class lesson, students are given a breakdown of what is expected of them on a daily basis. They are given basic math problems as an introduction to the class.

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...

Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...

Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific...

Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson plan relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis...

There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This lesson approaches multiplying polynomials from all angles. Build...

Need a real scenario to compare functions? This instructional activity has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the...

Introduce your class to the federal tax system through an algebraic lens. This resource asks pupils to examine the variable structure of the tax system based on income. Young accountants use equations, expressions, and inequalities to...

Develop a more precise definition of similar. The instructional activity begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to...

Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...