Inside Mathematics
Quadrilaterals
What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...
Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
EngageNY
Estimating Probability Distributions Empirically 2
Develop probability distributions from simulations. Young mathematicians use simulations to collect data. They use the data to draw graphs of probability distributions for the random variable in question.
Balanced Assessment
Fit-Ness
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
Balanced Assessment
Stock Market
Analyze trends in the stock market using histograms. Future economists use data presented in a histogram to find periods of greatest increase and decrease. They also draw conclusions about days that would be best to invest.
EngageNY
Informal Proofs of Properties of Dilations
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
EngageNY
End-of-Module Assessment Task - Grade 8 Mathematics (Module 3)
Everything the class knows about similarity in one small package. The last portion of a 16-part series is a three-question assessment. In it, pupils demonstrate their application of similar figures and their associated transformations.
EngageNY
Magnitude
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.
EngageNY
Conversion Between Celsius and Fahrenheit
Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...
EngageNY
Definition of Rotation and Basic Properties
Examine the process of rotating images to visualize effects of changes to them. The fifth lesson of 18 prompts pupils to rotate different images to various degrees of rotation. It pays special attention to rotations in multiples of 90...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth activity in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Mathed Up!
Solving Quadratics by Factorising
Young mathematicians view a video on solving quadratic equations by factoring. They use this skill to complete a worksheet of practice problems — a great way to gauge understanding!
Constitutional Rights Foundation
History of Immigration From the 1850s to the Present
The Statue of Liberty may embrace the huddled masses of the world, but has American society always joined in? After young historians read a passage about the history of American immigration in the 19th and 20th centuries, focusing on...
EngageNY
Distance on the Coordinate Plane
Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
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.
Science Matters
Finding the Epicenter
The epicenter is the point on the ground above the initial point of rupture. The 10th lesson in a series of 20 encourages scholars to learn to triangulate the epicenter of an earthquake based on the arrival times of p waves and s waves....
Teach Engineering
Bone Mineral Density Math and Beer's Law
Hop into a resource on Beer's Law. A PowerPoint presentation introduces Beer's law as part of calculating bone density from X-ray images in the sixth lesson in the series of seven. Individuals work on practice problems with this law and...
Teach Engineering
Let's Learn About Spatial Viz!
Can you see your class working on spatial visualization? The first installment of a five-part module introduces the concept of spatial visualization and provides a 12-question diagnostic assessment to test spatial visualization skills....
Teach Engineering
New Perspectives: Two-Axis Rotation
Two-axis rotations ... twice the fun as one-axis rotations! The last installment of a five-part module teaches scholars how to conduct two-axis rotations. They create isometric drawings before and after the rotations.
Science Matters
Earthquakes and Volcanoes Post Assessment
The final lesson in the 20-part series is a post assessment covering earthquakes and volcanoes. Twenty-three questions incorporate each of the previous lessons through multiple choice, justified multiple choice, expanded multiple choice,...
EngageNY
More Division Stories
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
EngageNY
The Relationship Between Visual Fraction Models and Equations
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
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