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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...
American Chemical Society
Comparing the Density of an Object to the Density of Water
Investigators construct a makeshift balance and compare equal volumes of wax and water. They do the same for clay and water. Then they discover whether the wax and clay will float or sink in water. Ultimately this is a comparison of...
EngageNY
Solving Equations
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
EngageNY
Unknown Angle Proofs—Writing Proofs
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.
Curated OER
Properties of Arcs, Lengths and Chords
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson plan, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...
Pennsylvania Department of Education
Associative Properties
Students investigate the associative property of addition. In this associative property of addition lesson, students work in pairs and build addition problems with six blocks. They sit on either side of a desk so that they can "read" the...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
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...
University of Georgia
Density and Texture of Soil
All soil is not created equal! A lab activity asks learners to collect and analyze soil. Specific calculations determine the amount of sand, silt, and clay in a sample and allow individuals to identify the soil texture.
Curated OER
Food Chemistry: The Chemistry of Sweeteners
Young scholars investigate the properties of sweeteners. In this chemical property lesson, students examine the unique properties of sweeteners by performing several experiments. They will analyze the data to form a conclusion about the...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
Curated OER
Properties of Matter
Learners investigate the properties of matter. In this properties of matter instructional activity, students observe containers of different metals and discuss their properties including density. Learners find the density of an unknown...
Curated OER
Discovering the Properties of Matter
Students identify the properties of the three states of matter and observe the movement of Oobleck and be able to compare its movement to that of solids and liquids. They record in their Science Journal what they discovered about Oobleck.
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
Curated OER
Floating Fishes: How do Fishes Control Buoyancy?
Playing with balloons, water, oil, and bottles help put this lesson over the top! Participants use air-filled balloons in water tanks to experience gas compression. They also use oil-filled bottles to experiment with buoyancy. Included...
Curated OER
Investigating The Mysteries Of Third Grade
Third graders use logic and knowledge of mathematics facts to solve problems. They see that pigments can be broken down into separate colors. Pupils recognize the capacity of water to move upward and measure the height water travels up...
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover...
EngageNY
Solving Inequalities
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...
EngageNY
Some Potential Dangers When Solving Equations
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...
EngageNY
Sequencing Rotations
Discover the result of a sequence of rotations about different centers. Pupils perform rotations to examine the patterns. They also describe the sequence of rotations that performed to reach a desired result in the ninth installment in a...
Curated OER
Measuring the Heat Energy of a Chemical Change
Students investigate the Law of Conservation of Energy and the relationship between heat and temperature. In this heat energy and chemical changes lesson, students observe a candle heating a paper cup of water and make predictions about...
Curated OER
Density - An Introduction
Students experiment with objects of different densities. In this density lesson, students examine same-sized objects with different weights, then look at a teacher explanation of density. Students make wave bottles and a density jar to...
Curated OER
Probability and Applications of Simulations
Middle schoolers apply properties of probability to the real world. In this probability lesson, learners simulate the construction of empirical distribution. They collect and analyze data using central tendencies.