Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...

Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...

Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...

Young mathematicians are on their feet and moving around in this primary grade sorting activity. After giving each child an object or picture card, they then sort themselves into groups, counting to see which has the most or least...

Statistics is all about making inferences. Can you infer how your pupils will fair on their AP® exams? Collect your own data by giving them practice tests such as the 2015 free-response exam. The six-question test includes topics such as...

The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.

Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...

What is the difference between formal and informal language? Pupils rewrite their position speeches to adapt them for an audience of adults. Next, they present their speeches in small groups, attempting to answer the question, "Which...

When Bob starts planning out the average money made per customer, he needs some help. Young mathematicians look at the probability of how many bagels are purchased from one person, and then creates an equation based on the amount...

Bridge the gap between mathematics and Career Technical Education. Pupils research the cost associated with building storage sheds and analyze possible profit. They build scale models and determine if building and selling the sheds is a...

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...

Looking at literature through a critical lens helps readers connect the text to the larger world. An essay examining the theme "There is no ill in the world without a remedy" forms the main part of a sample comprehensive English...

There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...

Were unfair taxes really the cause of the American Revolution? Learners explore the complicated historiography behind the revolutionary period using authentic College Board prompts. The free-response questions from the exam feature...

How are concepts divided? Pupils use the AP® Calculus free-response questions to see how the exam addresses concepts. The concepts are divided into those that use calculators and others that do not. Calculator items require finding...

Defense spending often has massive impacts on the economy. Learners consider its effect in a hypothetical case and structured questions from College Board. A second query asks them to consider the effects of international trade on...

How much corn does a farmer need to grow if he wants to make a profit? A prompt from College Board asks learners to put themselves in the boots of a farmer growing crops for the alternative fuel market. Additional prompts consider the...

A company producing smoke alarms has a monopoly. However, what factors influence its profit and production? A series of prompts from College Board asks learners to consider the impact. Other practice problems include examining what...

Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...

Ensure your class has a solid understanding of positive and negative integers before moving on. The 14th installment of a 21-part series is a mid-module assessment. Scholars solve problems on positive and negative integers, on...

Is it justified? Readers complete the mid-unit assessment to justify their reader's theater scenes and quote choices from To Kill A Mockingbird. After completing the assessment, scholars conduct peer reviews and critique the script...

Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green. 

Your young economists will be amazed at the effect of compounding interest more frequently in this collaborative task about making sound financial choices. Learners are walked through the calculations of a couple of examples and then...

How much do you know about exponents? The pre-test covers the concepts of integer exponents with both numerical and algebraic one-variable expressions. The test is also over representing numbers in scientific notation, operating with...