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Radius, Diameter and Area
Students identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
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Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. For this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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Math Trailblazers and Their Modern Day Connections
There are many ways to connect math with topics your children are interested in.
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How Distant is the Moon?--2
Students examine total eclipses of the Sun and their limited regions of totality. They explain that this limited view occurs because the Moon is close enough to us for different points on Earth to view it differently.
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Parallax
High schoolers discover how astronomers used the diameter of the Earth's orbit around the Sun as a baseline for estimating the distance of some stars, and the meaning of "Parsec" and "light year."
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From Molecules to Mole Day Do's
Students recognize methods used to define the mole. After converting various quantities to the mole, students provide a context for understanding the usefulness of scientific notation and the mole.
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May The Earth Be Revolving Around The Sun?
Students trace the beginning of the heliocentric theory of the solar system--the idea that the solar system revolves around the Sun--to an observation by the Greek astronomer Aristarchus, which convinced him that the Sun was much bigger...
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How Distant Is The Moon?
Students discover how Aristarchus, a Greek astronomer around 230 BC, used a simple observation of the eclipse of the Moon, plus clever reasoning, to deduce the distance of the Moon. They practice the same calculation technique.
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Coordinates
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
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May Earth be Revolving around the Sun?
Ninth graders explore how Aristarchus used the position of the half-full Moon to estimate the distance to the Sun, and how he made a great error, but still figured out that the Sun is much larger than Earth.
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Forces in a Climb - Vectors
Students read Forces in a Climb from the Beginner's Guide to Propulsion, and explain each of the formulas using vectors.
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Bears
Students complete a variety of bear-related activities. They sort and graph teddy bears, distinguish between real and non-real bears and research bear life cycles and habitats.
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Map Studies - Estimate And Measure Distance
First graders explore estimating and measuring distances. They analyze and discuss a map of New York State, make estimations, measure distances using yarn, and calculate total distances between cities on the map.
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Inching Our Way Into The Metric System
Students investigate the Metric System. They discuss the history of the Metric System, convert various units of measurement into the Metric System, and solve problems on a spreadsheet.
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Measuring Angles
Third graders describe an amount of turn from a particular position to another using the 'circular' benchmarks of 0, ++, ++, ++, and full turn. Estimation language such as 'just about', 'between', 'not quite', 'just over', and similar...
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Dizzy Heights
Fifth graders explore ways to measure the height of an inaccessible object. They measure lengths using a tape measure or ruler. Students measure angles using a protractor and estimate heights.
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This is to That
Students look at ratio, what it means for numbers or objects to be in a given ratio, and how ratios and fractions are related. They write and solve story problems which involve whole numbers, using addition, subtraction, multiplication,...
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The Wave of the Future
Twelfth graders discuss sine curves and enter equations into their graphing calculator then compare different graphs created on their calculators. They identify the period, amplitude and phase shift given the graph or the equation of a...
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Modeling With Circular Functions
High schoolers explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming...
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The Mathematics of Space and Place
Young scholars investigate the measurements and geometry of the school grounds. They conduct inquiry while measuring the campus and some of the city blocks. Then students draw a map to scale and categorize property types using a pie graph.
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Exploring Centers of Triangles
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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Calendar and Opening
Pupils review the days of the week and tell what the current day is by singing a song. They fill in the sentence telling the day of the week it is and then discuss what day yesterday was and the name of the day tomorrow and then talk...
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That Mu You Do
Students discussion frictional force, kinetic friction, and static friction and the role each plays in acceleration and velocity in relationship to a car and the road on which it is traveling. Students complete instructional activity...
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Error Correction Worksheet
In this error correction worksheet, students analyze 22 sentences which may contain errors in grammar. Students decide if there are mistakes and correct them.
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