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EngageNY
The Converse of the Pythagorean Theorem
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
EngageNY
Locating Ordered Pairs on the Coordinate Plane
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
EngageNY
Multi-Step Problems in the Real World
Connect graphs, equations, and tables for real-world problems. Young mathematicians analyze relationships to identify independent and dependent variables. These identifications help create tables and graphs for each situation.
Illustrative Mathematics
Who is the Tallest?
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
Curated OER
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
EngageNY
First Consequences of FTS
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to...
EngageNY
The Order of Operations
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value.
Illustrative Mathematics
The Physics Professor
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
Curated OER
Measuring the Area of a Circle
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors...
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
Illustrative Mathematics
The Escalator, Assessment Variation
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st activity in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite...
Illustrative Mathematics
Many Ways to Do Addition
A great aspect of teaching math is that children have the freedom to solve problems using a variety of different strategies. The focus of this lesson plan is for young mathematicians to become aware of many ways of answering addition...
EngageNY
Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...
EngageNY
Writing and Evaluating Expressions—Exponents
Bring your young mathematicians into the fold. Scholars conduct an activity folding paper to see the relationship between the number of folds and the number of resulting layers in the 23rd installment of a 36-part module. The results of...
Illustrative Mathematics
How Long
It won't take young mathematicians long to learn how to measure length with this fun, hands-on activity. Working in pairs, children use Unifix® or snap cubes to measure and record the lengths of different classroom objects. To extend the...
Illustrative Mathematics
Hundred Chart Digit Game
Math games, especially in the primary grades, provide great opportunities for developing the number sense of young mathematicians. Working in pairs with a deck of single-digit cards, students take turns drawing two cards and reading the...
Illustrative Mathematics
Graphs of Quadratic Functions
Instead of the typical quadratic questioning, explore the function and look at the three different ways a parabola can be written. The main task is when given several clues, young mathematicians must write an equation that matches the...
Illustrative Mathematics
Identifying Exponential Functions
Class members have the opportunity to quickly change the variables of an exponential graphs through the use of sliders on Desmos. Four graphs are given and young mathematicians, through the use of the graphing app, can discover which...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Curated OER
Skeleton Tower
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, learners first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
Mathed Up!
2D and 3D Shapes
What a great assessment to give young mathematicians in order to test their knowledge on two- and three-dimensional shapes. Learners name various shapes, identify the number of edges, faces, and vertices, match an unfolded version of a...