Students will calculate the glide slope ratio and angle of paper airplanes they have created. They will make claims about the type of airplane and support claims with evidence and reasoning from their class data.

Graph lines using a slope and a y-intercept. Identify the slope and y-intercept from the equation of a line in slope-intercept form. This activity is useful for algebra students learning to graph lines for the first time, or for students who may need extra help or review with this topic.

This is a reviewed and visually enhanced version of Henry Africk's Elementary College Geometry book.
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.

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^0 (i.e., the constant, c) on the vertex of a parabola where a and b are arbitrarily fixed values in f(x)=ax^2+bx+c.

Full Curriculum, Newtonian Mechanics whereby fundamental concepts (momentum, energy, force, motion) are introduced on the first day and developed in parallel. Access entire curriculum: comprehensive lecture videos with questions, textbook (calculus based, algebra based, and conceptual), exams, syllabus, past student evaluations.

Working With Rational Numbers

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Compare and order positive and negative numbers and place them on a number line.
Understand the concepts of opposites absolute value.

Lesson Flow

The unit begins with students using a balloon model to informally explore adding and subtracting integers. With the model, adding or removing heat represents adding or subtracting positive integers, and adding or removing weight represents adding or subtracting negative integers.

Students then move from the balloon model to a number line model for adding and subtracting integers, eventually extending the addition and subtraction rules from integers to all rational numbers. Number lines and multiplication patterns are used to find products of rational numbers. The relationship between multiplication and division is used to understand how to divide rational numbers. Properties of addition are briefly reviewed, then used to prove rules for addition, subtraction, multiplication, and division.

This unit includes problems with real-world contexts, formative assessment lessons, and Gallery problems.

This is a History lesson plan on housing segregation and restrictive covenants in the United States during the 1950s. It is suitable for grades 9 and up. The focus of this lesson is a primary source from Alan Paton available from History Matters. There are also Algebra and English lessons connected to this lesson as noted in this plan.

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a<0, b>0 and b and c are fixed values in f(x)=ax^2+bx+c.

Newtonian Mechanics Full Curriculum whereby fundamental concepts (momentum, energy, force, motion) are introduced on the first day and developed in parallel. Access entire curriculum: comprehensive lecture videos with questions, textbook (calculus based, algebra based, and conceptual), exams, syllabus, past student evaluations.

Compare lifting a bowling ball directly (one small person) to lifting a bowling ball at an angle with two people holding the ends of a rope and the ball hooked to the middle of the rope.

Assignment that helps the student define functions and relations with their domains and ranges and identify the different representations for each. Includes examples and practice problems.

This was my inquiry project for Algebra 1. It focus on Data Analysis and Statistics while asking the driving question, "when does the risk of going to school outweigh the cost of a snow day?" This document includes a grabber, general instruction on lesson lectures, and a thorough description of the culminating activity.

This is a continuation of Fundamentals of Physics, I (PHYS 200), the introductory course on the principles and methods of physics for students who have good preparation in physics and mathematics. This course covers electricity, magnetism, optics and quantum mechanics.

This task addresses the first part of standard F-BF.3: ŇIdentify the effect on the graph of replacing f(x) by f(x)+k, kf(x), f(kx), and f(x+k) for specific values of k (both positive and negative).Ó Here, students are required to understand the effect of replacing x with x+k, but this task can also be modified to test or teach function-building skills involving f(x)+k, kf(x), and f(kx) in a similar manner.

This task has students explore the relationship between the three parameters a, h, and k in the equation f(x)=a(x−h)2+k and the resulting graph. There are many possible approaches to solving each part of this problem, especially the first part. We outline some of them here (which overlap heavily in places), applied to the top left graph, and then only give the final answers in the solution provided.

This task provides a real world context for interpreting and solving exponential equations. There are two solutions provided for part (a). The first solution demonstrates how to deduce the conclusion by thinking in terms of the functions and their rates of change. The second approach illustrates a rigorous algebraic demonstration that the two populations can never be equal.

The purpose of this task is to use geometric and algebraic reasoning to model a real-life scenario. In particular, students are in several places (implicitly or explicitly) to reason as to when making approximations is reasonable and when to round, when to use equalities vs. inequalities, and the choice of units to work with (e.g., mm vs. cm).

This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.
About the Instructor
Herb Gross has taught math as senior lecturer at MIT and was the founding math department chair at Bunker Hill Community College. He is the developer of the Mathematics As A Second Language website, providing arithmetic and algebra materials to elementary and middle school teachers.
Acknowledgements
Funding for this resource was provided by the Gabriella and Paul Rosenbaum Foundation.
Other Resources by Herb Gross
Calculus Revisited: Multivariable Calculus
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a>0, b>0 and b and c are fixed values in f(x)=ax^2+bx+c.