EngageNY
End-of-Module Assessment Task - Geometry (module 1)
Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...
College Board
2007 AP® Statistics Free-Response Questions
Knowing the questions ahead of time should be beneficial. Free-response questions released from the 2007 AP® Statistics tests provide teachers and pupils insight into the types of questions on the exam. The six open-ended questions show...
CK-12 Foundation
Integers that Represent Different Situations: Football Field
A football-themed interactive focuses on integers. Seven questions challenge scholars to show what they know by way of short answers, multiple-choice, and true or false. An open-ended question followed by a discussion concludes the...
EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons...
Illustrative Mathematics
Global Positioning System II
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
CK-12 Foundation
Rectangular to Polar Form for Equations: Polar Coordinates
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
CK-12 Foundation
Sums of Fractions with Like Denominators: Cheesy Bread
Five questions make up an interactive all about adding fractions with like denominators. Mathematicians answer multiple-choice problems and an open-ended question using a fraction model that resembles sliced bread. The practice ends with...
Illustrative Mathematics
Tilt of Earth's Axis and the Four Seasons
Geometry meets earth science as high schoolers investigate the cause and features of the four seasons. The effects of Earth's axis tilt features prominently, along with both the rotation of the earth about the axis and its orbit...
Curated OER
Simultaneous Equations for Circuit Analysis
In this learning exercise, learners use Algebra to plot different solutions to equations and analyze schematics in order to answer a series of 25 open-ended questions about electrical circuits. This learning exercise is printable and the...
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
5280 Math
Factory Functions
Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...
Concord Consortium
Fermi Time
It's all just a matter of time. The resource provides four Fermi questions in reference to time. The questions are open-ended and require classmates to make use of estimation and dimensional analysis.
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
CK-12 Foundation
Add and Subtract Decimals with Front-End Estimation: Wooden Beams
A six-question interactive tasks mathematicians to solve addition and subtraction problems using front-end estimation. Question types consist of multiple-choice and true or false. A set of wooden beams that can be measured using moveable...
101 Questions
Jam Session
Don't let the learning in your classroom get jammed up! Intrigue your scholars with an open-ended scenario to explore. A video presentation shows a challenging stretch of road that is susceptible to traffic jams. The task is to determine...
Exeter Township School District
Order of Operations
Young mathematicians analyze computation errors by three hypothetical learners. It begins with a scenario that presents an equation that includes addition, multiplication, division, and subtraction. According to the order of operations,...
EngageNY
End-of-Module Assessment Task - Grade 8 Mathematics (Module 2)
Can your classes apply the knowledge they have learned? Use this performance task to find out! Individuals use transformations to explain congruence and angle relationships within parallel lines to find missing values. They show what...
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Illustrative Mathematics
Sale!
Everyone loves a sale, and this worksheet allows learners to calculate which sale is more rewarding. The activity can be adapted for different thinking contexts. The answer key describes different answer choices, some being higher...
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...