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...
DK Publishing
Choosing the Operation, part 2
Choose the symbol; mathematicians can get confused between division and multiplication, so drill these skills with them. They examine 54 number sentences without a symbol, writing either the multiplication or division operation into the...
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
Frog and Toad on the Number Line
Administer a learning activity that challenges your class to use a number line in the form of lily pads. Learners are instructed to display the number of hops that Toad and Frog take during their journey on a number line. Young...
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....
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
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...
Lorain County Community College
Solving Equations Using the Addition Property
Challenge your mathematicians to simplify and solve a variety of different equations. This worksheet focuses on multi-step problems that begin with combining like terms and advance toward solving equations with variables on both sides. A...
DK Publishing
Choosing the Operation
Which symbol goes here? Mathematicians often get confused between division and multiplication, so drill these skills with them. They examine 48 number sentences without a symbol, writing either the multiplication or division operation...
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
Ptolemy's Theorem
Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.
K12 Reader
Galileo and His Telescope
Learn about Galileo Galilei's contribution to modern science with a reading passage that focuses on reading comprehension. After kids read several paragraphs about his life, they answer five questions about the information they have just...
EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson 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 figure.
Math Learning Center
Grade 1 Supplement Set A4 – Number and Operations: Equivalent Names
Engage young mathematicians in developing their basic arithmetic skills with these great hands-on activities. Using Unifix® cubes to model a variety of single digit addition and subtract problems, children build a basic...
EngageNY
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 instructional activity is the discovery of Euler's number.
EngageNY
Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial instructional activity on the topic. They learn the definition of equivalent ratios and use it to build others in the...
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...
Central New Mexico Community College
Percent Word Problems
Take young mathematicians' understanding of percents into the real world with this series of word problems. Involving a variety of contexts from calculating scores on math tests and savings account interest, to determining sale prices...