Illustrative Mathematics
Watch Out for Parentheses 1
Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question that 5th graders are...
Curated OER
Dividing Radical Expressions
In this algebra worksheet, learners simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
NASA
Next Generation Spacecraft - Orion
Emergine space engineers discover the area of complex geometric shapes. They find that, just as a spacecraft is composed of many smaller parts, so can polygons be broken into smaller shapes.
Curated OER
Adding and Subtracting Rational Expressions
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Curated OER
SHHH It's a Secret
Students rewrite word problems using expressions and equations. In this algebra instructional activity, students use the correct variable to solve and write equations. They use the TI to graph their solution.
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on shelves,...
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
NASA
It All Comes Full Circle
How long does it take spacecraft go around the earth? Using the circular orbits of the space shuttle and the International Space Station, groups determine the distance traveled in one revolution, then calculate the distance traveled...
Curated OER
The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
Curated OER
Missing Values
In this missing values instructional activity, learners solve and complete 3 various types of problems. First, they fill in the boxes on the number lines to show how to break addition and subtraction down. Then, students complete the...
Curated OER
Theorems About Roots and Polynomial Equations
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
Curated OER
Tracking Your Favorite Web Sites
Ninth graders track the hit count on their favorite web sites. In this Algebra I lesson, 9th graders record the number of hits on their favorite web site for twenty days. Students explore the data to determine if the relation defines a...
EngageNY
The Special Role of Zero in Factoring
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
Curated OER
The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
Curated OER
Patterns
In this college level algebra activity, students examine patterns, formulas that describe the pattern and determine the sum of an infinite pattern. The one page activity contains five questions. Answers are provided.
Curated OER
Getting Students to Understand Why Learning Mathematical Concepts is Important
You can give a fresh response to that perennial question "when will we ever use this, anyway."
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Automobile-Accident Reconstruction
Students investigate an accident and relate it to math. In this trigonometry instructional activity, students measure the accident scene, the friction produced, and the speed from the skid marks. They create a poster of their findings.
Curated OER
Manipulatives Make Abstract Math Concepts Concrete
Using math lessons that include manipulatives can help cement learning.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...