Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
College Board
2003 AP® Calculus AB Free-Response Questions
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
College Board
2017 AP® Calculus BC Free-Response Questions
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Illustrative Mathematics
Baseball Cards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
College Board
2014 AP® Calculus BC Free-Response Questions
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...
College Board
2011 AP® Calculus AB Free-Response Questions
So this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Inside Mathematics
Patterns in Prague
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Balanced Assessment
Frosting on the Cake
Party planners need algebra too! Here, pupils decide the perfect size of a cake based on available ingredients. They use the concepts of area and perimeter to make their conclusions.
College Board
2002 AP® Calculus BC Free-Response Questions Form B
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
Science Matters
Earthquake Preparedness
Forty-five states and territories in the USA are at moderate to very high risk of earthquakes. The discussion-based lesson covers what to do before, during, and after an earthquake. The 14th lesson in the series includes how to...
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
Inside Mathematics
Archery
Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.
College Board
2012 AP® Calculus AB Free-Response Questions
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
Noyce Foundation
Ducklings
The class gets their mean and median all in a row with an assessment task that uses a population of ducklings to work with data displays and measures of central tendency. Pupils create a frequency chart and calculate the mean and median....
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...