Balanced Assessment
Bicycle Chain II
Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain.
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
101 Questions
Lucky Cow
Cutting the cheese isn't a joke. Scholars observe a wedge of cheese and must determine how to cut it in half horizontally. They apply their knowledge of sectors to determine the most accurate way to slice the cheese.
101 Questions
Volcano
This resource will blow your mind! Young mathematicians estimate the rate of volcanic lava flow by watching a video. They apply the rate formula to determine how long it would take the lava to reach a city. Let's hope everyone gets out...
101 Questions
Split Time
Stay on track to learn about proportions. Scholars watch an introductory video that shows the split time for a runner on an outdoor track. Applying concepts of proportional reasoning, they determine what the runner's split time would be...
Concord Consortium
Twinkle, Twinkle
Take a look at a star resource. Young mathematicians use a graphing calculator to draw intersecting lines that look like a star. They then apply translations to move the entire star and also consider what transformations must occur to...
Concord Consortium
Walled-Up Parabolas
Jump at the chance to use parabolas. Young mathematicians apply trigonometry to explore the trajectory of a ball in different situations. Some walls cause the ball to bounce, so participants must consider all possibilities.
Concord Consortium
Detective Stories
The truth will always come out. A short performance task has learners considering a witness statement given to a detective. They apply special line segments in triangles and Ceva's Theorem to prove that the witness is actually lying.
Concord Consortium
Divisions
Divide and conquer the geometry problem. Young scholars consider how to subdivide triangles into smaller ones that have equal areas. They must apply their knowledge of medians to help accomplish the task.
Corbett Maths
Quadratic Inequalities
Develop a sketchy approach to solving quadratic inequalities! Using a sketch of a graph, the presenter shows a way to solve quadratic inequalities. Pupils then practice that method to solve their own quadratic inequalities and apply the...
PHET
Equality Explorer: Two Variables
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.
Curated OER
Angle Relationships
Over the course of 18 problems, learners identify angles as complementary, supplementary, vertical or adjacent. They name relationships in angles such as alternate interior, corresponding, and alternate exterior angles. They apply the...
Curated OER
Time Dilation and Geometry
Learners solve problems of dilation and velocity. In this geometry lesson, students apply the Pythagorean Theorem to solve problems and relate it to time and velocity.
Curated OER
Speed Problems
Return to the classic word problem with these speed scenarios. Learners use some combination of the variables speed, distance, and speed to solve six problems, all of which ask for one of these as an answer. The examples do a nice job of...
Curated OER
Comparing and Ordering Decimals
Which decimal is greater? Learners start by comparing eight pairs of decimals, writing in the symbol (> or <) to indicate values. The next two sections involve sets of three decimals. They start by circling the decimal with the...
American Statistical Association
Tell it Like it is!
Scholars apply prior knowledge of statistics to write a conclusion. They summarize using correct academic language and tell the story of the data.
American Statistical Association
What is the Probability of “Pigging Out”
Learners apply their understanding of luck to a probability experiment. They play a game of Pass the Pigs to determine the probability of a specific outcome. Using analysis for their data, pupils declare the measures of center, dot...
Curated OER
Fred's Fun Factory
Round and round and round she goes. Where she stops, nobody knows. This activity uses a common arcade game of chance, the spinning wheel, as a platform for computing expected values, interpreting results, and applying this knowledge to...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Illustrative Mathematics
The High School Gym
Learners apply critical thinking skills as they analyze data about the temperature inside a gymnasium during a school assembly. The focus is on representing temperature as a function of time and interpreting input and output values...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Curated OER
Bird and Dog Race
Your pupil's pet dog and bird are racing down the city streets. In order to know who is going to win, they better know something about calculating rates, the Pythagorean Theorem, and applying those topics to the map of the city.
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