EngageNY
Grade 5 Math Module 1, Topic D, Lesson 10
Take a little bit away. The 10th section of an 18-part unit introduces subtraction of decimals. Scholars use a place value chart like they did with addition of decimals to organize and represent the problem. After using the place value...
EngageNY
Grade 5 Math Module 1, Topic D, Lesson 9
Introduces addition of decimals by using unit notation to represent the problem. Pupils use a place value chart to decompose the numbers and then add before connecting to the standard algorithm.
EngageNY
Grade 5 Math Module 1, Topic C, Lesson 8
Go another round on rounding. Pupils refine their learned rounding skills in the eighth installment in an 18-part unit on decimals. The lesson takes away some of the previous scaffolding to encourage scholars to use the procedures that...
EngageNY
Grade 5 Math Module 1, Topic B, Lesson 6
Which is bigger? The sixth installment in an 18-part series covering decimals provides a lesson on comparing decimals to the thousandths. Teachers use place value to help class members compare and order decimals. Instruction encourages...
EngageNY
Grade 5 Math Module 1, Topic B, Lesson 5
There is more than one way to write a number. The lesson plan provides teachers with a way to teach reading and writing decimals to thousandths using standard, expanded, and unit forms. Pupils work through in-class and homework...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 4
Convert with exponents. The fourth lesson plan in a series of 18 uses powers of 10 to convert within the metric system. Scholars use their fourth grade knowledge of conversions to write and use the conversion factors containing...
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...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 2
What are the place value patterns? An informative lesson plan helps scholars build upon their knowledge of place value to see patterns when multiplying and dividing by powers of 10. Classmates begin the second installment by reviewing...
EngageNY
Grade 5 Math Module 1, Topic A, Lesson 1
Extend the place value system. The first lesson plan in a series of 18 extends the place value system to millions through thousandths. Using place value charts, pupils see how the value of a digit changes as it moves places. Teachers use...
New York City Department of Education
Peter’s Garden
Watch scholars' understanding of fractions bloom. The resource presents a performance task where the fractions are equal parts from the same whole, and mathematicians must use them to solve problems about a grade level garden. Teachers...
College Board
2009 AP® Calculus BC Free-Response Questions
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
College Board
2007 AP® Calculus BC Free-Response Questions
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
College Board
2009 AP® Calculus AB Free-Response Questions
What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...
College Board
2007 AP® Calculus AB Free-Response Questions
Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
College Board
2015 AP® Calculus BC Free-Response Questions
How will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...
College Board
2013 AP® Calculus BC Free-Response Questions
Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...
College Board
2016 AP® Calculus BC Free-Response Questions
The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...
College Board
2018 AP® Calculus BC Free-Response Questions
Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...
College Board
2017 AP® Calculus AB Free-Response Questions
What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...
College Board
2016 AP® Calculus AB Free-Response Questions
Using the common errors and test taker responses, it's easy for teachers to see where to pinpoint instruction throughout the AP Calculus course. Pupils, using the released items, develop an understanding of how future exams assess the...
College Board
2015 AP® Calculus AB Free-Response Questions
How will the topics be assessed? Using the six released items from the Calculus AB test, pupils see how the exam assesses content from the course. With the additional materials covering test taker's responses and scoring keys, teachers...
College Board
2014 AP® Calculus AB Free-Response Questions
Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....
College Board
2013 AP® Calculus AB Free-Response Questions
What is the important stuff? The free-response questions from the 2013 Calculus AB exam highlight the topics in calculus assessed that year. Items provide pupils the opportunity to experience questions similar to what they will see on...