Harvard University
The Nouns of Geometry
Socratic questioning to teach Euclidean geometry? "The Nouns of Geometry," followed by "The Verbs of Geometry," and the misfit, "A Beginner's Story - The Equilateral Triangle" are designed to encourage learners to explore various topics...
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Illustrative Mathematics
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Curated OER
A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
Curated OER
Nim With Cards
In this math activity, students solve word problems by playing a card game. The first person to reach 31 wins the game.
University of Utah
Integer Exponents, Scientific Notation and Volume
A one-stop resource for exponents, square and cube roots, scientific notation, and volume formulas guides learners through properties of exponents. As they learn to apply these properties to operations with scientific notation,...
Education Development Center
Area and Multiplication
Take some intellectual fun and apply it to the concept of multiplying expressions together. A guide models how to break two numbers into an area model to multiply together in pieces similar to FOILing. The rest of the puzzles consist of...
College Board
2015 AP® Environmental Science Free-Response Questions
Less than eight percent of AP Environmental Science test takers earn the highest score possible. Help scholars improve their scores by using actual test questions on water quality and urban planning before reading sample responses that...
College Board
2014 AP® Environmental Science Free-Response Questions
Less than half of AP Environmental Science test takers pass each year. The College Board releases previous test questions covering topics from greenhouse gases to ecological succession to help scholars prepare for future assessments. Use...
College Board
2016 AP® Environmental Science Free-Response Questions
The average student scores less than three points, out of five, on the AP Environmental Science test. Most do well on the multiple choice and struggle with the free-response section. Encourage extra free-response practice with actual...
College Board
2017 AP® Environmental Science Free-Response Questions
Almost half of test takers passed the AP Environmental Science exam in 2017. Use the free-response questions on the topics of pollution and ecosystems to improve writing skills in preparation for the AP exam. Discuss the scoring...
College Board
2018 AP® Environmental Science Free-Response Questions
Less than nine percent of all AP Environmental Science test takers scored a perfect five on the exam in 2018. Learn from the best answers as well as the common mistakes thanks to the College Board. Four questions from the test covering...
College Board
2015 AP® Chemistry Free-Response Questions
More than 80,000 scholars earned college credit for Chemistry with the AP exam in 2015. The College Board released the free-response questions covering topics, including moles, that often confuse scholars. They also released example...
College Board
2016 AP® Chemistry Free-Response Questions
The College Board published the mean score on the 2016 AP Chemistry exam as a 2.69, but a minimum of a three is required to earn college credit. Help pupils study for the upcoming exam with actual test questions, sample answers, and...
College Board
2017 AP® Chemistry Free-Response Questions
More than 83,000 scholars earned college credit, thus saving time and money by passing the AP Chemistry exam in 2017. Use the exact test questions covering concepts from activation energy to solubility to prepare for the upcoming...
College Board
2017 AP® Biology Free-Response Questions
With AP Biology remaining the most popular AP science exam, many teachers need help preparing. The College Board offers the actual free-response questions from the 2017 test covering pollination, germination, and more. Scholars learn the...
College Board
2015 AP® Physics 2: Algebra-Based Free-Response Questions
As one of the few AP tests that count for second year college course credit, the AP Physics 2 exam requires a higher level of knowledge than most. Help young scientists study for their upcoming AP Physics 2 exams with previous...
College Board
2016 AP® Physics 2: Algebra-Based Free-Response Questions
While AP Physics 1 counts as an introductory college Physics course, AP Physics 2 counts as a second-year college Physics course. Help scholars prepare for this more advanced college-level test with questions from previous assessments...
College Board
2017 AP® Physics 2: Algebra-Based Free-Response Questions
In 2017, more than 15,000 scholars earned college credit based on their AP Physics 2 exam covering lenses, energy, and more. The College Board released the free-response questions, sample answers, and scoring guidelines from that exact...
College Board
2018 AP® Physics 2: Algebra-Based Free-Response Questions
While the AP Physics 2 test maintains the reputation for one of the most difficult AP exams, scholars feel better prepared after practicing free-response questions on currents, conservation of energy, and displacement. The College Board...
College Board
2015 AP® Physics 1 Free-Response Questions
It's rare for even 40 percent of test takers to pass the AP Physics 1 exam. Improve those odds for young scientists with the help of actual free response questions covering topics from free body diagrams to velocity. The College Board...
College Board
2017 AP® Physics 1: Algebra-Based Free-Response Questions
Do you know how to help scholars study for the AP Physics test? Use the free response questions from the 2017 exam covering topics from circuits to waves to prepare pupils for future AP assessments. After answering the questions, read...
College Board
2016 AP® Physics 1: Algebra-Based Free-Response Questions
Generally, scholars struggle on the free response portion of the AP Physics 1 exam more than the multiple-choice section. Scholars benefit from additional practice with the help of previous test questions, including questions on forces,...