EngageNY
When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
Teach Engineering
Earthquakes Living Lab: The Theory of Plate Tectonics
Find out if your class agrees with Ice Age: Continental Drift ... or if it's just a fun family movie! Class members research the theory of continental drift, examine evidence of plate tectonics, connect...
Mathematics Assessment Project
Evaluating Statements about Probability
Learners first complete an assessment task where they assess statements on probability. They then sort cards containing probability statements as being either true or false.
Mathematics Assessment Project
Inscribing and Circumscribing Right Triangles
High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...
Utah Education Network (UEN)
Real World Equations and Inequalities
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
NOAA
Ocean Acidification
If tap water is more acidic than ocean water, why are we so concerned about ocean acidification? The third installment of a 23-part NOAA Enrichment in Marine sciences and Oceanography (NEMO) program focuses on carbon dioxide levels in...
EngageNY
Credit Cards
Teach adolescents to use credit responsibly. The 32nd installment of a 35-part module covers how to calculate credit card payments using a geometric series. It teaches terminology and concepts necessary to understand credit card debt.
Bowland
Fruit Pies
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
PHET
Proportion Playground
Ratios are all around you. A fun interactive has scholars investigate ratios and proportions in different situations. These include creating bracelets with different ratios of beads, mixing paint, adjusting the length and width of a...
Purdue University
Sun Tracking System for a Solar Panel
Capture the Sun's rays as best as possible. An engaging STEM lesson teaches scholars about how Earth's tilt causes the path of the sun to change throughout the year. They create solar panel systems that move both horizontally and...
Education Bureau of Hong Kong
Evaluating Casual Claims
Responsible decision making relies on the ability to a recognize, analyze, and evaluate claims. The worksheets and activities in this 32-page packet teach learners how to distinguish among opinions, reasoned arguments, facts, and logical...
American Chemical Society
Investigating the Line
Note that this lesson is best paired with the preceding lesson in the unit. In that lesson, elementary physical scientists observed that the color coating of M&Ms® candies do not mix when dissolved off of the chocolate surface. Now...
ESL Kid Stuff
Can - for Ability
You can do it! Practice action verbs and using can for ability with a series of activities designed for English learners. Kids jump, stomp, and turn as they discuss the things they can and can't do.
EngageNY
Circles, Chords, Diameters, and Their Relationships
A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords...
EngageNY
Experiments with Inscribed Angles
Right angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the...
EngageNY
Inscribed Angle Theorem and Its Applications
Inscribed angles are central to the instructional activity. Young mathematicians build upon concepts learned in the previous instructional activity and formalize the Inscribed Angle Theorem relating inscribed and central angles. The...
EngageNY
Unknown Angle Problems with Inscribed Angles in Circles
We know theorems about circles—now what? Class members prove a theorem, with half the class taking the case where a point is inside the circle and half the class taking the case where a point is outside the circle. The activity then...
EngageNY
The Angle Measure of an Arc
How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...
EngageNY
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
EngageNY
Properties of Tangents
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
EngageNY
Secant Lines; Secant Lines That Meet Inside a Circle
Young mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
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