Mathematics Assessment Project
Sorting Equations and Identities
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.
Statistics Education Web
Odd or Even? The Addition and Complement Principles of Probability
Odd or even—fifty-fifty chance? Pupils first conduct an experiment rolling a pair of dice to generate data in a probability lesson. It goes on to introduce mutually exclusive and non-mutually exclusive events, and how to use the...
EngageNY
Volume of a Sphere
To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...
EngageNY
Representing Proportional Relationships with Equations
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this instructional activity are designed for business applications and require complex...
Howard County Schools
Getting Paid for School
What if you were paid to attend class? What kind of payment schedule would you choose? Learn how exponential functions will eventually exceed linear functions by comparing two different payment schedules for attending class.
Willow Tree
Surface Area of Three-Dimensional Figures
Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...
Virginia Department of Education
Angles in Polygons
Polygons — it's all about the angles. Groups work with dynamic geometry software to find the sum of the measures of the angles of various polygons. After finding the information for several polygons, the groups generate a formula that...
Statistics Education Web
Did I Trap the Median?
One of the key questions in statistics is whether the results are good enough. Use an activity to help pupils understand the importance of sample size and the effect it has on variability. Groups collect their own sample data and compare...
Curated OER
Rolling Marbles
Students develop and use problem solving strategies to mathematically solve a word problem involving marbles. They solve the first part of the problem together as a class, and in small groups solve and write a solution for the problem...
Curated OER
Problem-Solving Math 1
Learners discuss the different ways we use numbers in everyday life. They walk around the classroom for 5 to 10 minutes, students are asked to point out examples of numbers they find in the room. Learners are asked to image a world...
Curated OER
Math Activity: "Snake"
Fourth graders explore patterns by participating in a class math activity. In this early algebra lesson, 4th graders utilize a die and chart to keep record of a snake game in which students must utilize a math function to solve a problem...
Curated OER
Solving Equations as Word Problems: Practice B
Ninth graders investigate solving word problems. In this Algebra I lesson, 9th graders explore the four step process for solving word problems: Step 1-make a table of values, Step 2-identify the constant, Step 3-indetify the...
Curated OER
Applications and Problem Solving Using Quadratic Equations
In this math worksheet, students solve problems in the form of quadratic equations after translating into expressions from words.
Curated OER
Multiplication Math Problems
In this multiplication worksheet, students problem solve 62 multiplication math problems involving multiples of 3, 4, 5, 6 and 9.
Curated OER
Math Lesson Plan: Bread Bag Tabs: Patterning
Young scholars explore the concept of patterning. In this patterns lesson, students use recycled plastic tab closures as well as their problem solving skills to identify and create patterns.
Curated OER
Space and Shape in Geometry:
Students are asked to visualize three-dimensional figures and apply this visualization to problem solving.
Curated OER
"Weighing the Elephant"
Can your class solve the problem presented in the Chinese folktale, "Weighing the Elephant?" Read your class the description before having them attempt to solve the problem. After they've come up with an answer (or attempted to!), finish...
Curated OER
Right on Time
The hour is nigh for your class to practice equivalency problems in the form of time-zone conversions. They write equations to describe elapsed time and apply problem solving strategies, including writing a plan, to solve the problems.
Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
Curated OER
Number Sentences
Fifth graders become familiar with problem solving strategies of guess and check and working backwards. They demonstrate the basic concepts of addition, subtraction, multiplication, and division using a math sentence.
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Curated OER
Concepts Of Division
In a comprehensive and well-outlined series of activities, the class investigates how division is the same as repeated subtraction. During guided practice, they take notes on turning sample word problems into solvable equations and...