This seminar will teach you how to perform the four basic mathematical operations on expressions containing radicals. It will also show you how to rationalize the denominator of a fraction that contains radicals. You will apply your knowledge of factorization and perfect squares of both integers and variables in order to simplify the radicals. You will extend your knowledge of simplifying expressions to include those that contain radicals. You will rationalize denominators in order to place expressions in simplest radical form.StandardsCC.2.2.8.B.1Apply concepts of radicals and integer exponents to generate equivalent expressions.

In this seminar you will review the order of operations to ensure that you understand the importance of the order in which to complete addition, subtraction, multiplication, and division, as well as handling exponents and grouping symbols. You will apply techniques you have learned about each of these operations. You will then use the techniques learned in this seminar to verify solutions to various other types of problems and use these ideas in nearly all mathematical problems and formulas moving forward. When using order of operations, you will identify which operation must be completed first, which second, and so on, depending on the problem given.  You will also see how not using the Order of Operations can severely change an answer.StandardsCC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems.

This activity involves using orienteering to gain understanding of vector addition and finding the resultant vector.

Two besotted rulers must embrace proportional units in order to unite their lands. It takes mathematical reasoning to identify the problem, and solution, when engineers from Queentopia and Kingopolis build a bridge to meet in the middle of the river.

The purpose of this 3 ACT task is to provide students with an opportunity to problem-solve based on a real-world situation (Claims 2 and 4). Due to the nature of the task, there are a variety of mathematical approaches students can take to successfully complete the task, however, the mathematical approach presented in Act 3 of the task addresses CCSS.MATH.CONTENT.HSF-LE.B.5 (Interpret the parameters in a linear or exponential function in terms of context). This performance task is intended for students with prior knowledge of geometric sequences or graphs of exponential growth, table and graph creation, and pattern recognition. Includes Power Point slides.

The purpose of this 3 ACT task is to provide students with an opportunity to problem solve based on a real-world situation. In the task, students are presented with a scenario faced by Washington State logging companies transporting timber to mills after harvest. Students then decide on necessary resources for finding the solution and are given time as a group to complete their work. The task concludes by having students examine the information provided in Act Three to see if it answers their question. Includes slides to support the implementation of "Get the Logs to the Mill (Algebra)" Math Performance Task with charts, images, etc.

The purpose of this 3 ACT task is to provide students with an opportunity to problem solve based on a real-world situation. In the task, students are presented with a map of a Bull Kelp bed near Squaxin Island and asked to generate their own questions that could be answered using the map. Students then decide on necessary resources for finding the solution and are given time as a group to complete their work. The task concludes by having students examine the information provided in Act three to see if it answers their question. Includes slides to support the implementation of "Keeping An Eye On Kelp (Algebra)" Math Performance Task with charts, images, etc.

The purpose of this 3 ACT task is to provide students with an opportunity to problem solve based on a real-world situation. In the task, students are presented with a scenario faced by Washington State logging companies: replanting timber after a harvest or catastrophic burn. This is a complex and rich problem wherein students will need to determine an explicit expression or steps for calculation from the context provided. Students must decide on necessary resources for finding the solution and are given time as a group to complete their work. Includes slides to support the implementation of "Replanting Timberland (Algebra)" Math Performance Task with charts, images, etc.

Watch this music video to help you learn about PEMDAS (Please Excuse My Dear Aunt Sally). Does this sound familiar? If not, this is an excellent device to memorize the algebraic order of operations. This video is produced by Mr. Davis Productions and plays music by Odyssey Sound Lab.

Build the slowest moving LEGO car (or other vehicle dependent on gears and moves at a constant velocity), predict exactly when and where that will crash into another one a set distance apart.
Combines Physics, Tech Ed, and Algebra I concepts very well.

An overview of the STEM 9 program at Pequea Valley High School in Lancaster County, PA. Most 9th grade learners take this course which teaches Algebra I math concepts via physics concepts and tech ed building.

In this video segment from Cyberchase, a plant expert shows Bianca the patterns and symmetry found in nature.

This simple conceptual task focuses on what it means for a number to be a solution to an equation, rather than on the process of solving equations.

Navigate the number line while diving amidst shipwrecks and sunken ruins. Will you find a pearl, or an old boot? Watch out for the electric eel! Pearl Diver teaches properties of numbers, how to plot numbers, how to visualize quantity on the number line, how to order numbers, and how to use the number line as a visual model for mathematical operations.

This task requires students to answer questions about the structure of an expression.

This is a simple exercise in creating equations from a situation with many variables. By giving three different scenarios, the problem requires students to keep going back to the definitions of the variables, thus emphasizing the importance of defining variables when you write an equation. In order to reinforce this aspect of the problem, the variables have not been given names that remind the student of what they stand for. The emphasis here is on setting up equations, not solving them.

In this activity, learners work in groups to determine the mass and volume of four samples: glass marbles, steel washers or nuts, pieces of pine wood, and pieces of PVC pipe. Learners then plot the data points on a large class graph of mass vs. volume to discover that data points for a particular material form a straight line, the slope of which gives the density of the material.

To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in. Finally, draw a line going from the circle in the direction of the numbers that make the inequality true.

This seminar will allow you to identify linear equations written in both point-slope and standard forms.  You will learn how to graph these equations as well as how to convert from one form to another.  You will discover why each form is useful in different ways in order to express different situations.StandardsCC.2.2.HS.D.10  Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.