EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
Curated OER
Lively Math
Scholars realize the importance of reading and correct interpretation when engaging in mathematical problem solving. This begins with the understanding of vocabulary and the translation from numeric to algebraic and algebraic to numeric.
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
Curated OER
Making Simple Conversions
Young scholars explore the concept of measurement as it relates to equivalencies. They complete simple conversions using visual models of measurement units, and record their answers in a two-column table.
EngageNY
Parallel and Perpendicular Lines
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
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® Chemistry Free-Response Questions
2018 saw some of the highest AP Chemistry scores in years. The College Board released each test question covering topics from enthalpy to net ionic equations, as well as scoring guidelines and more to benefit future scientists. Example...
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...
University of Utah
Explore Proportional and Linear Relationships
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a line using...
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
2016 AP® Biology Free-Response Questions
A remarkably high number of scholars passed the AP Biology exam in 2016 with over 61 percent earning college credit. The College Board released the entire free-response section for future scholars to study. After answering the eight...
College Board
2018 AP® Physics 1: Algebra-Based Free-Response Questions
Whether determining orbitals of space craft or designing experiments with conductive dough, many young scientists discover physics is phun and attempt the AP exam to get college credit. Use the free response questions from the 2018...
Bowland
Magic Sum Puzzle
Learners discover the magic in mathematics as they solve numerical puzzles involving magic sums. They then make a conjecture as to why no additional examples are possible based on an analysis of the puzzles.
CK-12 Foundation
Visual Patterns: Balloons
Balloons aren't just for little kids; they can teach important math concepts, too. Individuals use an interactive to continue a color pattern with balloons. They continue the pattern and write a mathematical expression to represent the...
New York City Department of Education
Grade 5 Literacy in Science: Ecosytems
How do humans affect ecosystems? Learners read two articles and interpret a graph to develop essays on the human impact on ecosystems. They read about human impact on tigers and manatees as a basis for their overarching papers.
Curated OER
Limits and Their Properties
Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories...
Curated OER
The Living Environment
In this reading comprehension lesson, 2nd graders have the choice between musical, kinesthetic, logical mathematical and verbal linguistic options to display their knowledge. Students can write a song, perform a play, construct a model...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 3
The activity introduces exponents as a way to write powers of 10 and to associate those powers with place value. Pupils practice writing powers of 10 with exponents along with multiplying numbers by powers of 10. The resource is the...
Curated OER
Learning to Hate Math
Give your class a different kind of reading assignment with the text included here. Anne Miller's essay "Learning to Hate Mathematics" details a hatred of math that grew from early childhood and still haunts the author today. After...
DK Publishing
Addition Fact Families
Fact families are an excellent way to connect math operations for beginners to addition and subtraction. Use the examples here to review this concept before scholars try these on their own. For each, they examine two related number...
Curated OER
Addition Properties
Addition becomes much simpler once scholars understand its properties. They examine the commutative property through five equation pairs. For each, the addends have been switched and scholars must fill one in. The next six problems give...