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Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
5280 Math
Multiplication Table Algebra
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.
EngageNY
Unknown Angle Proofs—Proofs of Known Facts
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
EngageNY
Decimal Expansions of Fractions, Part 1
Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth instructional activity of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to...
Houston Area Calculus Teachers
Collecting Driving Data
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
Math Stars
Math Stars: A Problem-Solving Newsletter Grade 6
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box...
EngageNY
Characters Changing Over Time (Chapter 10: "Las Papas/Potatos")
Engage further in Esperanza Rising with a focus on close reading and metaphor. Class members zero in on the tenth chapter, examining characters and big ideas. Pupils discuss the text in small groups and as a whole class, and...
Curated OER
Sum of the Parts
Fifth graders build objects using various materials. They estimate the weight of the object using individual building pieces. Then they weigh the actual object and then tear it apart and weigh the pieces. They compare the two weights.
Curated OER
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...
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Curated OER
Grade 2: Spinning Sums
Second graders collect data by spinning two spinners and creating sums, organize the data, and make conclusions from the data. Each students makes a spinner. They spin and record the number of the section each time. Students work in...
Curated OER
Arithmetic Sequences
Find the sequence of an equation with your math super stars. They differentiate between arithmetic and geometric sequences and then calculate the sum of finite and infinite sequences.
EngageNY
Interpreting Expected Value
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
LABScI
Botany: The Plant Dissection Lab
Study everything about plants! The 12-part series of lessons continues with an examination of many aspects of plants. Components of the laboratory activity address the growth and structure of plants by evaluating familiar plants. The...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Colorado State University
What Is a "Convection Cell"?
Round and round in circles it goes! A hands-on activity has learners recreate a model of a convection cell. They watch as the difference in density of their materials creates a current.
University of California
The Cold War (America)
The Cold War—with its roots in World War II—impacts the world today. Using an extensive curriculum, scholars consider its impact through primary sources, including speeches and propaganda, as well as other skills-enhancing activities. An...
Curated OER
Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The...
Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
EngageNY
Discrete Random Variables
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
Curated OER
T Points from Directions
Here is a lesson that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This makes...
Illustrative Mathematics
Rectangle Perimeter 2
While this activity is centered around expressions that represent the perimeter of a rectangle, it also hits at the fundamental concept of equivalent expressions, simplifing expressions, and like-terms. Classmates express their...
Illustrative Mathematics
Building toward fluency
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...