Illustrative Mathematics
Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
Curated OER
Solving Algebraic Equations: Algebra/Geometry Institute
Students solve problems using PEMDAS. In this algebraic equations activity, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
Curated OER
Translating Between Verbal and Algebraic Expressions
Students translate between verbal and algebraic expressions. After folding paper into four sections (multiplication, division, addition, and subtraction), students list code words under the appropriate section title. Next, they...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
EngageNY
Margin of Error When Estimating a Population Proportion (part 2)
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
PBS
Add, Subtract and Multiply Fractions
Your future chefs will appreciate this comprehensive lesson where learners practice operations on fractions using pizza and soup analogies. Learners begin with a pizza analogy that requires the learners to multiply a whole number by a...
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the cylinder...
Education Development Center
Area Model Factoring
Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
Curated OER
Three Squirrels and a Pile of Nuts
Middle schoolers solve word problems using a spreadsheet, strategies, and algebraic variables. They disuss the given problem, which can be printed, write the unknowns, and employ the strategies into a spreadsheet. Students then use...
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Curated OER
Algebraic Processes And Its Connection To Geometry
Students investigate the concept of polygons using a variety of activities. They explore the vocabulary of polygons by constructing a graphic organizer. Then students categorize the characteristics of several polygons and contribute the...
Curated OER
Algebra 1: Evaluating Expressions
Students discover how to apply the order of operations to evaluating algebraic expressions. In pairs, they solve problems by placing the order of operations steps in correct order. As an exit slip, students write paragraphs about an...
Curated OER
Slope and Topographic Maps
Students investigate slopes as they study topographic maps. For this algebra lesson, students discuss and apply the concept of slopes to graphing and analyzing data.
EduGAINs
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there is...
Curated OER
Three Squirrels and a Pile of Nuts
Students solve story problems using a spreadsheet in combination with various problem-solving strategies. Working in teams of three, students create attempt to solve a story problem using three different methods; using manipulative,...
Curated OER
Free Cell
Fourth graders use algebra to begin solving a problem. The problem has a real world application to engage learners. The main skill is converting fractions and decimals. Also finding the right number sentence for the word problem is...
EngageNY
Ruling Out Chance (part 3)
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison.
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Curated OER
Connections Involving Linear And Quadratic Functions
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Curated OER
Impossible Graphs
Young scholars practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
Curated OER
Systems of Linear Inequalities
The class solves systems of linear inequalities. They graph lines and identify the point of intersection.They graph lines and identify the boundary that represent the solution and solution set.
Curated OER
Functions and the Vertical Line Test
Learners examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.