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EngageNY
Read Expressions in Which Letters Stand for Numbers II
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
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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...
EngageNY
Read Expressions in Which Letters Stand for Numbers
Pencil in the resource on writing verbal phrases into your lesson plans. The 15th installment of a 36-part module has scholars write verbal phases for algebraic expressions. They complete a set of problems to solidify this skill.
EngageNY
Symmetry in the Coordinate Plane
The 17th installment of a 21-part module investigates symmetry in the coordinate plane. After plotting several examples, scholars develop a rule for the coordinates of a point after reflecting over the x-axis, the y-axis, or both.
EngageNY
Real-World Positive and Negative Numbers and Zero
Class members investigate how positive and negative numbers are useful in the real world. Individuals first read a short passage and identify terms indicating positive and negative numbers. They consider situations involving positive...
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General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
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Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
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The Relationship of Division and Subtraction
See how division and subtraction go hand-in-hand. The fourth installment of a 36-part module has scholars investigate the relationship between subtraction and division. They learn using tape diagrams to see that they can use repeated...
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The Relationship Between Absolute Value and Order
Order up a resource on absolute value and order. The 12th installment of a 21-part module investigates the relationship between absolute value and the order of numbers on a number line. Scholars determine how the actual values and the...
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Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
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From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
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Developing a Statistical Project
The 17th lesson in a unit of 22 presents asks the class to conduct a statistics project. Pupils review the first two steps of the process of asking a question and collecting data. They then begin the process by developing a...
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Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Illustrative Mathematics
Puppy Weights
Nobody can say no to puppies, so lets use them in math! Your learners will take puppy birth weights and organize them into different graphs. They can do a variety of different graphs and detail into the problem based on your classroom...
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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...
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Least Common Multiple and Greatest Common Factor
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
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Writing Division Expressions II
Division is division is division is division ... four different ways to write division. Scholars continue to learn about division expressions. They translate between several forms, including verbal phrases, expressions using the division...
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The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
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An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a activity that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series...