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EngageNY
Why Are Vectors Useful? 1
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...
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Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.
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Interpreting the Graph of a Function
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...
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Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
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Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
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When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
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More on Modeling Relationships with a Line
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a...
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How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
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Ruling Out Chance (part 3)
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison.
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Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
EngageNY
Properties of Area
What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.
Curated OER
Concepts Of Division
In a comprehensive and well-outlined series of activities, the class investigates how division is the same as repeated subtraction. During guided practice, they take notes on turning sample word problems into solvable equations and...
Curated OER
Use Estimation to Compare Numbers
"Take a walk" with this worksheet and estimate how many birds, ants, turtles, flowers and children getting on a bus that you see. Based on the size of a single set of 10 objects, learners estimate how many are in the whole group. They...
Curated OER
Gifts from Grandma, Variation 1
Composed of three word problems, this math activity exposes young mathematicians to relationships present in multiplication and division. The first problem is most useful with a tape diagram in which learners are working with equal-sized...
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Count the Dots: 10 Plus More Makes 11-20
Young math learners count and circle a group of 10 dots. They count on the extras, and write the corresponding number between 11 and 20 in a box. Nine practice problems in all.
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Justifying Answers
Young scholars study story problems and learn how to find and justify their answers. They will use a story problem and then respond to the prompt questions from the teacher. They must add and subtract facts to 6 and learn how to justify...
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three Names Lesson
After the book Three Names is read aloud, math vocabulary is introduced . Either alone or in groups, learners use the vocabulary words in a meaningful sentence. Then they complete the provided worksheet.
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Topic 3.5 & 3.6: Linear Programming
In this linear programming activity, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page activity contains six multi-step word problems.
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Measurement and Time Problems
Take a deeper look at the steps used to solve measurement and time problems. One word problem involving measurement and 1 word problem involving time is taken apart and described in terms of the strategies used to solve each. A...
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Domain: Operations and Algebraic Thinking
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...
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One and Tens Place Value
Counting is much easier when the objects are arranged in groups of 10! This place-value practice sheet helps young mathematicians grasp ones and tens place value through three exercises. First, they complete three missing addend...
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Grouping and Counting Items
Students create equal groups of objects. In this math lesson, students create predictions as to how many objects they can get in each equal group. Additionally, students explore and record findings.
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Classification
Students investigate how different types of food can be classified then counted. In this sorting, arranging, and classifying lesson plan, students explore how to group foods based on commonalities. Students are asked four questions which...
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Groups of 10
In this counting in groups of 10 worksheet, students count the images in each set and circle the groups of ten. Students then count on to find how many additional images there are and write that number and the total number in the box.