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EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
DataWorks
4th Grade Math: Multi-Step Word Problems
Solving word problems requires reading comprehension and math computation. Through an interactive slideshow presentation, fourth graders observe and follow each step toward solve multiplication and division word problems.
Baylor College
Fossil Fuels and the Carbon Cycle
Humans are quickly depleting Earth's fossil fuels and locating them is becoming increasingly difficult! Layered muffins are used for models as young geologists take core samples in order to determine the presence of oil. Consider first...
American Statistical Association
What Fits?
The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Federal Reserve Bank
Savvy Savers
What are the benefits and risks of saving in an interest-bearing account? Pupils explore concepts like risk-reward relationship and the rule of 72, as well as practice calculating compound interest, developing important personal...
EngageNY
What Lies Behind “Same Shape”?
Develop a more precise definition of similar. The instructional activity begins with an informal definition of similar figures and develops the need to be more precise. The class learns about dilations and uses that knowledge to...
EngageNY
The Relationship of Multiplication and Addition
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson plan of a 36-part series. They extend their knowledge of multiplication...
EngageNY
Basic Properties of Similarity
Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive....
EngageNY
Ordering Integers and Other Rational Numbers II
Individuals build on prior knowledge to order a set of rational numbers from least to greatest or greatest to least. As part of the lesson, they order rational numbers written in different forms.
New York City Department of Education
Isabella’s Garden
Create rows and rows of vegetables. Pupils use their knowledge of multiplication to find the number of vegetable shoots planted in a garden and ways to arrange the vegetables in the performance task. Teachers use the suggested unit...
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...
EngageNY
Complex Number Division 1
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The activity reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to...
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
Federal Reserve Bank
Financial Fables: Shopping Wisely with Olivia Owl
Cover two subjects with one lesson plan! First, dive into English language arts; read an eBook, answer comprehension questions, and complete a cause and effect chart about the financial fable, Shopping Wisely with Olivia Owl. Then,...
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
EngageNY
Dilations on the Coordinate Plane
Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
EngageNY
Divisibility Tests for 3 and 9
Who knew the sum of a number's digits gives such interesting information? The 18th installment of a 21-part module has scholars investigate division by three and nine. After looking at several examples, they develop divisibility tests...
EngageNY
Problem Solving and the Coordinate Plane
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter...
EngageNY
Two-Step Problems—All Operations
Step 1: Use the resource. Step 2: Watch your class become experts in solving two-step problems. Scholars learn to solve two-step word problems in context. They use tape diagrams and algebraic techniques to break the problem into two,...
EngageNY
The Relationship of Multiplication and Division
Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous lesson plan, pupils discover the relationship between multiplication and division. They develop the...