All resources in Culver Academies

Mars Math

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This book contains 24 illustrated math problem sets based on a weekly series of space science problems. Each set of problems is contained on one page. The problems were created to be authentic glimpses of modern science and engineering issues, often involving actual research data. Learners will use mathematics to explore problems that include basic scales and proportions, fractions, scientific notation, algebra, and geometry.

Material Type: Lesson

Measurement and Geometry

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This is a set of three, one-page problems about the size and area of solar panels used to generate power. Learners will calculate area fractions to compare the sizes and distances of Jupiter's moons. Options are presented so that students may learn about the Juno mission through a NASA press release or about how solar energy is used by various NASA satellites and technology by viewing a NASA eClips video [3 min.]. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.

Material Type: Lesson

Measuring Human Rights: High School Mathematics Unit

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In this unit, students will read and interpret primary sources to address the question “How do we measure the attainment of human rights?” By exploring the Universal Declaration of Human Rights, the UN’s Guide to Indicators of Human Rights, and data about development indicators from multiple databases, students will unpack the complexities of using indicators to measure human rights.

Material Type: Assessment, Lesson Plan

Author: Tamar Posner

The Monty Hall Problem or How to Outsmart a Game Show and Win a Car

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This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life. The video portion is about fifteen minutes, and the whole lesson, including activities, should be completed in about forty-five minutes. Some of the activities call for students to work in pairs, but a larger group is also okay, especially for the discussion centered activities. The required materials for this lesson are envelopes, small prizes, and some things similar in size and shape to the prize.

Material Type: Lecture

Author: Sam Shames, Cameron Tabatabaie, Ben Kaloupek

Multi-Step Equations

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This is a set of three, one-page problems about mass and power of spacecraft. Learners will use multi-step equations to solve several diverse problems. Options are presented so that students may learn about different types of power systems to generate electricity through a NASA press release or by viewing a NASA eClips video [7 min.]. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.

Material Type: Lesson

Number Theory and Fractions

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This is a set of two, one-page problems about the sizes of moons in the solar system. Learners will use fractions to compare the sizes and distances of Jupiter's moons. Options are presented so that students may learn about the Juno mission through a NASA press release or by viewing a NASA eClips video [6 min.] about the creation of graphic of the 88 largest objects in our solar system. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.

Material Type: Lesson

Remix

OER Math

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The Caribbean Examinations Council (CXC) Caribbean Secondary Education Curriculum (CSEC) mathematics syllabus has been used to guide the selection and sequencing of quality Open Education Resources (OER) to create a free textbook or online course. The resources have been collected and vetted by experienced mathematics teachers and organised to allow a 'reader' gain mastery of each of the CSEC topics and objectives. The topics available for study include: Computation Number Theory Consumer Arithmetic

Material Type: Reading

Author: kiran pandey

PhET Simulation: Estimation

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This interactive Flash animation allows students to explore size estimation in one, two and three dimensions. Multiple levels of difficulty allow for progressive skill improvement. In the simplest level, users estimate the number of small line segments that can fit into a larger line segment. Intermediate and advanced levels offer feature games that explore area of rectangles and circles, and volume of spheres and cubes. Related lesson plans and student guides are available for middle school and high school classroom instruction. Editor's Note: When the linear dimensions of an object change by some factor, its area and volume change disproportionately: area in proportion to the square of the factor and volume in proportion to its cube. This concept is the subject of entrenched misconception among many adults. This game-like simulation allows kids to use spatial reasoning, rather than formulas, to construct geometric sense of area and volume. This is part of a larger collection developed by the Physics Education Technology project (PhET).

Material Type: Activity/Lab, Interactive

Authors: Michael Dubson, Mindy Gratny

Prealgebra 2e

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Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

Material Type: Textbook

Author: MaryAnne Anthony-Smith

Pythagorean Theorem Worksheet

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This 12-problem worksheet is an assessment tool I created to see how well my adult education students grasped my lesson on the Pythagorean Theorem. There are plug-and-chug questions that require the students to solve for the lengths of missing sides and more complicated problems.

Material Type: Assessment, Homework/Assignment

Author: Madison Miller

Rational Number Operations

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Students will learn about the twin STEREO spacecraft and how they are being used to track solar storms through reading a NASA press release and viewing a NASA eClips video segment. Then students will examine data to learn more about the frequency and speed of solar storms traveling from the Sun to Earth. This activity is part of the Space Math multimedia modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school textbooks. The modules cover specific math topics at multiple levels of difficulty with real-world data and use the 5E instructional sequence.

Material Type: Lesson

Scale Models and Diagrams

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This is a set of three, one-page problems about the scale of objects in images returned by spacecraft. Learners will measure scaled drawings using high-resolution images of the lunar and martian surfaces. Options are presented so that students may learn about the Lunar Reconnaissance Orbiter (LRO) mission through a NASA press release or by viewing a NASA eClips video [4 min.]. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school.

Material Type: Lesson

Space Math - I

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This is a booklet containing 20 problem sets that involve a variety of math skills, including equations and substitution, time calculations, reading, algebra, and more. Each set of problems is contained on one page. Learners will use mathematics to explore space science topics related to our Sun, auroras, solar features, space weather, sunspots, and solar storms. This booklet can be found on the Space Math@NASA website.

Material Type: Lesson

Space Math - II

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This is a booklet containing 24 problem sets that involve a variety of math skills, including scientific notation, simple algebra, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space science topics including solar storms, solar energy, coronal mass ejections, and doppler shift, among others.

Material Type: Lesson