Students are introduced to Pascal's law, Archimedes' principle and Bernoulli's principle. Fundamental …
Students are introduced to Pascal's law, Archimedes' principle and Bernoulli's principle. Fundamental definitions, equations, practice problems and engineering applications are supplied. A PowerPoint® presentation, practice problems and grading rubric are provided.
In this math activity, learners explore the history of the Stomachion (an …
In this math activity, learners explore the history of the Stomachion (an ancient tangram-type puzzle), use the pieces to create other figures, learn about symmetry and transformations, and investigate the areas of the pieces. The Stomachion, believed to have been created by Archimedes, consists of 14 pieces cut from a square, which can be rearranged to form other interesting shapes.
The famous story of Archimedes running through the streets of Syracuse (in …
The famous story of Archimedes running through the streets of Syracuse (in Sicily during the third century bc) shouting ''Eureka!!!'' (I have found it) reportedly occurred after he solved this problem. The problem combines the ideas of ratio and proportion within the context of density of matter.
This is an activity about comparing images of the Sun in different …
This is an activity about comparing images of the Sun in different wavelengths of light. Learners will examine solar images taken by the SOHO spacecraft to look for differences in the features that are visible in the various wavelengths of light. This activity requires access to the internet to view or print images of the Sun. This is Activity 7 of the Sun As a Star afterschool curriculum.
In this problem, students are given a picture of two triangles that …
In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations.
This lesson is based on the results of a performance task in …
This lesson is based on the results of a performance task in which we realized that students' understanding of area and perimeter was mostly procedural. Therefore the purpose of this re-engagement lesson was to address student misconceptions and deepen student understanding of area and perimeter. The standards addressed in this lesson involve finding perimeter and area of various shapes, finding the perimeter when given a fixed area, and using a formula in a practical context. Challenges for our students included decoding the language in the problem and proving their thinking. (7th Grade Math)
This Desmos activity allows students to explore the area of triangles with …
This Desmos activity allows students to explore the area of triangles with online geoboards. This resource was helpful in understanding that a triangle is half of a square/rectangle. Students were able to conceptualize why the formula for a triangle includes the "multiply by 1/2". Students can work at their own pace and encourage math discourse.
In this lesson, students will engage in an informal derivation of the …
In this lesson, students will engage in an informal derivation of the relationship between the circumference and area of a circle. This activity is linked to Standard 7.G.B.4. Students will use their understandings of the area of a rectangle to make sense of and informally derive the area formula of circle. This activity has students cut circles (paper plates) into sectors and recompose into a rectangle (approximately). This is a link from Geogebra that provides a great visual of this activity. https://www.geogebra.org/m/RUqSMrjn
This problem is part of a very rich tradition of problems looking …
This problem is part of a very rich tradition of problems looking to maximize the area enclosed by a shape with fixed perimeter. Only three shapes are considered here because the problem is difficult for more irregular shapes.
I use this help students make sense of equivalent fractions and deepen …
I use this help students make sense of equivalent fractions and deepen their understanding. It gives students an opportunity to work with fractions that are equivlanet to 1/4, but also identify fractions that are not equivalent to 1/4. This activity will reinforce the concept that when making equivalent fractions the numerator and denominator need to be multiplied by the same number. It's like multiplying by a whole or one, that's why the fractions are equivalent.
Remember your multiplication tables? ... me neither. Brush up on your multiplication, …
Remember your multiplication tables? ... me neither. Brush up on your multiplication, division, and factoring skills with this exciting game. No calculators allowed! The students will be given mutiplication and division problems which they must answer. They also have the option of being given a number then stating the factors of how that number was attained using either multiplication or division.
Remember your multiplication tables? ... me neither. Brush up on your multiplication, …
Remember your multiplication tables? ... me neither. Brush up on your multiplication, division, and factoring skills with this exciting game. No calculators allowed!
Brush up on your multiplication, division, and factoring skills with this interactive …
Brush up on your multiplication, division, and factoring skills with this interactive multiplication chart. Three levels and timed or untimed options are available.
This course is an arithmetic course intended for college students, covering whole …
This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers modelintegers are only introduced at the end of the course.
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