Illustrative Mathematics
Origami Stars
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
Curated OER
Spoonfuls, Cupfuls and Handfuls
Explore the use of non-standard units for measuring volume with elementary learners. They fill a container and count the number used using cups, spoons, and bottles, build with blocks and count the number of blocks used, and compare and...
Curated OER
Integers - Objects Model
Sixth and seventh graders solve 19 various types of problems related to integers as objects models. They write an integer that corresponds to each letter on a number line and then, arrange the integers from least to greatest. Pupils also...
Curated OER
Fraction X--Adding Unlike Denominators
In this math PowerPoint, the process of adding fractions with unlike denominators is broken down into a logical, easy-to-follow sequence of steps. Definitions and examples of multiples, least common multiple, and least common denominator...
Curated OER
Modeling: Having Kittens
Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The lesson focuses on developing strategies for problem solving using both individual and group work....
Illustrative Mathematics
Weather Graph Data
Teaching young mathematicians about collecting and analyzing data allows for a variety of fun and engaging activities. Here, children observe the weather every day for a month, recording their observations in the form of a bar graph....
Lane Community College
Review Sheets: Introductory Physical Science
This hybrid worksheet connects mathematics to a science class. Learners practice solving problems that involve making a variety of conversions. An assortment of questions hits all the calculations needed for a middle school or beginning...
Math Warehouse
Theoretical Probability Activity
If you keep rolling a die, you'll roll a five exactly one-sixth of the time—right? A probability lesson prompts young mathematicians to roll a die 100 times and use the data to calculate empirical probabilities. They then compare these...
Indiana Science
How Many E’s?
Seventh graders explore random sampling by estimating the number of e's on the newspaper. They explain the possible error sources for this type of sampling, and compare the accuracy of sampling a small and large population. This is a...
EngageNY
Multiplying and Dividing Expressions with Radicals
That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide radical...
EngageNY
Applying the Laws of Sines and Cosines
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes.
Curated OER
Prairie Populations
Eleventh graders practice the Quadrat Survey Technique to analyze the biodiversity of a local plant community. They compare its biodiversity with the documented changes in biodiversity of the tallgrass prairie over time.
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing.
Achieve
BMI Calculations
Obesity is a worldwide concern. Using survey results, learners compare local BMI statistics to celebrity BMI statistics. Scholars create box plots of the data, make observations about the shape and spread of the data, and examine the...
Curated OER
Chances Are......You're Right
Young mathematicians study probability. In this math lesson plan, learners calculate odds, and convert those into percentages of probability. Fractions are also used, making this lesson plan quite rich in some of the more difficult...
Improving Measurement and Geometry in Elementary Schools
Rep Tiles
In addition to the catchy title, this lesson plan provides upper graders an opportunity to more closely scrutinize the attributes of plane figures. In particular, they focus on the similarity of different shapes. Both whole-class and...
Curated OER
Estimate How Many Seeds Are In a Fruit or Vegetable
Help mathematicians estimate how many seeds are in a given vegetable or fruit. They are divided into pairs and estimate the amount of seeds in a whole fruit without seeing the inside. They then cut the fruit or vegetable in half and...
Curated OER
Introduction to Exponents
Problem solve using exponents. Pupils read One Grain of Rice: A Mathematical Folktale and write powers to represent amounts from the story.They compare actual solutions to their predictions and play a game to practice using exponents.
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...
EngageNY
Summarizing Bivariate Categorical Data with Relative Frequencies
It is hard to determine whether there is a relationship with the categorical data, because the numbers are so different. Working with a familiar two-way table on super powers, the class determines relative frequencies for each cell and...
EngageNY
Dilations as Transformations of the Plane
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.