College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Illustrative Mathematics
Dividing by One-Half
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Illustrative Mathematics
Listing Fractions in Increasing Size
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
Illustrative Mathematics
Who is the Tallest?
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
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...
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...
Curated OER
Multiple Variables in an Equation
Young mathematicians apply problem-solving skills to equations that have more than one variable. They will work through the process to problem solve and discover the solution.
Curated OER
Stop Signs, Musical Notes, Letters & Logos: Designing Symbols
Students develop an awareness of environmental print, such as signs, logos, brand names, and other print and non-print items that the children see and read in their neighborhood each day. They then engage in active problem solving as...
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
Mathematical Reasoning
Ninth graders solve mathematical mysteries associated with a real life situation. In this ninth grade mathematics lesson, 9th graders choose a scenario from Real Life Math Mysteries by Mary Ford Washington and solve one or more of...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Curated OER
Using Tiles to Solve Word Problems
Students solve problems using equations. In this algebra lesson, students identify the correct symbols and steps when solving word problems. They graph their lines and analyze the slope using tiles.
Curated OER
Solving Linear Equations
In this solving linear equations worksheet, 9th graders solve and complete 6 different types of problems. First, they maintain a balance on both sides of the equation so that each side remains equal. Then, students apply mathematical...
Curated OER
Strategic Games Y1: Nim
First graders play Nim online to practice problem solving skills and strategies.
Curated OER
Hot Dog Stand: The Works
Students strengthen skills in mathematics, problem solving, and communication skills by working together in groups using "Hot Dog Stand: The Works" educational software.
Curated OER
Word Problems
Students use the "gist" strategy to understand how to dissect parts of a word problem. In this word problem lesson plan, students learn how to solve word problems and then solve them.
Curated OER
Solving Multiple-Step Problems
Students listen to the explanation of lesson and how to do the worksheet by observing examples on the board. They then work on their own to complete the worksheet of multiple-step problems.
Curated OER
Tax, Tip and Discount Word Problems
Students solve problems involving tax, tips and discounts. In this algebra lesson, students convert between percents and decimals. They calculate commission using conversion from percents and fractions.
Curated OER
Exercise Require Mathematical Operation
In this addition worksheet, 3rd graders choose the appropriate number sentence to solve the addition word problem. Students complete 1 problem.
Curated OER
Estimating Solutions to Word Problems
Fourth graders explore number sense by completing word problems in class. In this estimation lesson, 4th graders define terms such as sum, difference, estimate and best. Students complete estimating worksheets based on the concept of...
Curated OER
Exercise Require Mathematical Operation 3
In this math skills worksheet, students solve 1 multiple choice problem that requires them to read a story problem and select the appropriate number sentence that represents the problem. Students may view the correct answers.
Curated OER
Exercise Require Mathematical Operation 10
In this math skills worksheet, students solve 1 multiple choice problem that requires them to read a story problem and select the appropriate number sentence that represents the problem. Students may view the correct answers.
Curated OER
Exercise Require Mathematical Operation 14
In this math skills worksheet, students solve 1 multiple choice problem that requires them to read a story problem and select the appropriate number sentence that represents the problem. Students may view the correct answers.