This task introduces the fundamental statistical ideas of using data summaries (statistics) from random samples to draw inferences (reasoned conclusions) about population characteristics (parameters). In the task built around an election poll scenario, the population is the entire seventh grade class, the unknown characteristic (parameter) of interest is the proportion of the class members voting for a specific candidate, and the sample summary (statistic) is the observed proportion of voters favoring the candidate in a random sample of class members.

n addition to providing a task that relates to other disciplines (history, civics, current events, etc.), this task is intended to demonstrate that a graph can summarize a distribution as well as provide useful information about specific observations.

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on 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.

This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra.

The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively.

The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject.

This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student's place, and have chosen to err on the side of too much detail rather than not enough. An elementary text can't be better than its exercises. This text includes 2041 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and defonitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 299 completely worked out examples. Where appropriate, concepts and results are depicted in 188 figures

This site is a series of video lectures and interactive exercises for teaching basic mathematics skills to first graders. It has separate addition and subtraction skills reviews numbers up to 10, 20, and 100; a section on telling time and reading clocks as well as course material on measurement and geometry.

Ck-12's Grade 2 Elementary Math is a series of videos and interactive videos designed to teach basic math concepts to 2nd graders. Concepts covered include Addition and Subtraction, Multiplication, Place Value, Decimals, Time, Fractions, Money, Measurement, and Geometry.

CK-12's Elementary Math Grade 3 is a series of videos and interactive videos designed to teach basic math concepts to 3rd graders. Concepts covered include Addition and Subtraction, Multiplication, Division, Place Value, Decimals, Time, Factors and Multiples, Money, Measurement, and Geometry.

CK-12's Grade 4 Elementary Math is a series of videos and interactive videos designed to teach basic math concepts to 4th graders. Concepts covered include Addition and Subtraction, Multiplication and Division, Multiple Operations and Grouping, Place Value, Decimals, Time, Money, Measurement, and Geometry.

CK-12's Grade 5 Elementary Math is a series of videos and interactive videos designed to teach basic math concepts to 5th graders. Concepts covered include Multiplication and Division, Place Value, Multiple Operations and Grouping, Decimals, Time, Fractions, Money, Measurement, and Geometry.

Student teams are challenged to navigate a table tennis ball through a timed obstacle course using only the provided unconventional “tools.” Teams act as engineers by working through the steps of the engineering design process to complete the overall task with each group member responsible to accomplish one of the obstacle course challenges. Inspired by the engineers who helped the Apollo 13 astronauts through critical problems in space, students must be innovative with the provided supplies to use them as tools to move the ball through the obstacles as swiftly as possible. Groups are encouraged to communicate with each other to share vital information. The course and tool choices are easily customizable for varied age groups and/or difficulty levels. Pre/post assessment handouts, competition rules and judging rubric are provided.

This subject provides an introduction to fluid mechanics. Students are introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and learn how to solve a variety of problems of interest to civil and environmental engineers. While there is a chance to put skills from Calculus and Differential Equations to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make the students think as a fluid. In addition to relating a working knowledge of fluid mechanics, the subject prepares students for higher-level subjects in fluid dynamics.

Under the "The Science Behind Harry Potter" theme, a succession of diverse complex scientific topics are presented to students through direct immersive interaction. Student interest is piqued by the incorporation of popular culture into the classroom via a series of interactive, hands-on Harry Potter/movie-themed lessons and activities. They learn about the basics of acid/base chemistry (invisible ink), genetics and trait prediction (parseltongue trait in families), and force and projectile motion (motion of the thrown remembrall). In each lesson and activity, students are also made aware of the engineering connections to these fields of scientific study.

Students are introduced to the engineering design process within the context of reading Dr. Seuss’s book, Bartholomew and the Oobleck. To do so, students study a sample of aloe vera gel (representing the oobleck) in lab groups. After analyzing the substance, they use the engineering design process to develop and test other substances in order to make it easier for rain to wash away the oobleck. Students must work within a set of constraints outlined within the Seuss book and throughout the activity and use only substances available within the context of the plot. Students also take into consideration the financial and environmental costs associated with each substance.

Students use a recipe to prepare a hydrogel gummy snack, which has a similar consistency to that found in a Haribo® gummy product. They must convert the juice and gelatin-based recipe from US customary units to metric units with dimensional analysis conversion. After unit conversion, teams are given different gelatin quantities and design their gummy snacks. Once the candies have solidified, student groups compare the gummy snacks are for viscosity and taste. After a taste test, teams reflect on their experiment and brainstorm ways to iterate a better gummy recipe.

An important property of linear functions is that they grow by equal differences over equal intervals. In this task students prove this for equal intervals of length one unit, and note that in this case the equal differences have the same value as the slope. In F.LE Equal Differences over Equal Intervals 2, students prove the property in general (for equal intervals of any length).

An important property of linear functions is that they grow by equal differences over equal intervals. In this task students prove this for equal intervals of length one unit, and note that in this case the equal differences have the same value as the slope.

In this task students prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Discover the rules for keeping it balanced. Collect stars by playing the game!