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- Algebra for Students
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Series: Algebra for Students
Analysing Inequalities
We hear inequality phrases like "more than," "less than" and "in between" all the time. Join our hosts in the world of algebra as they explore what these expressions mean and what it means to analyse inequalities.
Within the context of...Show More
We hear inequality phrases like "more than," "less than" and "in between" all the time. Join our hosts in the world of algebra as they explore what these expressions mean and what it means to analyse inequalities.
Within the context of real-life scenarios, discover simple and compound inequalities, linear inequalities and systems of linear inequalities. See how an inequality is graphed -- on a number line if there is only one variable and on a coordinate plane if it is a linear inequality.
Students will also learn about solving inequalities while being warned of common errors. With thoughtful explanations and animated graphs, students will enjoy this carefully paced programme. Show Less
Exponential Functions
Exponential phenomena are at work all around us-from population growth to how long it takes for a bouncing ball to come to rest. This carefully paced program will not only introduce students to the rules of exponents and scientific notation, but...Show More
Exponential phenomena are at work all around us-from population growth to how long it takes for a bouncing ball to come to rest. This carefully paced program will not only introduce students to the rules of exponents and scientific notation, but engage them in a thoughtful exploration of exponential functions in table, graph and equation form. Students will see how these functions compare to linear ones and watch how exponential growth functions grow at a tremendous rate over time while exponential decay functions decrease incredibly over time. Because of exponents, big numbers get bigger and small numbers get even smaller. Show Less
Functions and Relations
Functions and relations are important aspects of algebra. By showing how two sets of numbers are related, you can represent all types of real-world phenomena -- from Ferris wheels and roller coasters to the paths of baseballs, rockets, radio...Show More
Functions and relations are important aspects of algebra. By showing how two sets of numbers are related, you can represent all types of real-world phenomena -- from Ferris wheels and roller coasters to the paths of baseballs, rockets, radio waves and more. Join our hosts as they build tables and map diagrams and graphs -- all of them different ways to represent functions and relations. Discover the vertical line test -- a visual way of determining whether or not a relation is a function. It's everything from domain and range to the famed f(x) and more in this engaging programme designed to help students expand their understanding of algebra. Show Less
Linear Equations and Slope
Linear relationships are all around us. Join our hosts as they tackle linear equations and slope - two topics in algebra that go hand-in-hand. Through a series of real-world scenarios, see how a table of values, a graph and a formula or equation...Show More
Linear relationships are all around us. Join our hosts as they tackle linear equations and slope - two topics in algebra that go hand-in-hand. Through a series of real-world scenarios, see how a table of values, a graph and a formula or equation can be used to describe a linear equation. Investigate the graphs of linear equations and see how they change, depending on the slope of the line. Using tools such as the slope formula and slope-intercept form, students will explore slope with the constant reminder that, if the relationship between two sets of numbers is linear, you know you've got the graph of a line - and you know you can calculate slope. Show Less
Patterns and Formulas
Patterns are used to make predictions every day. Formulas are extremely important in the world of algebra. From developing a formula that represents a real-world scenario to building a table of values based on a formula. Or graphing the...Show More
Patterns are used to make predictions every day. Formulas are extremely important in the world of algebra. From developing a formula that represents a real-world scenario to building a table of values based on a formula. Or graphing the input-output values of a formula to exploring the relationship between the graph of a formula and its inverse patterns. Join our hosts as they encounter a variety of situations in daily life that can be expressed by using patterns and formulas. Show Less
Polynomials
When you are diving into algebra, it is a good idea to know how to recognise and work with polynomials. Join our hosts as they introduce students to the vocabulary associated with polynomials and demonstrate how to write and simplify polynomial...Show More
When you are diving into algebra, it is a good idea to know how to recognise and work with polynomials. Join our hosts as they introduce students to the vocabulary associated with polynomials and demonstrate how to write and simplify polynomial expressions. Using real-world scenarios, see how they find the zeroes of a polynomial by factoring and using handy technology such as the graphing calculator. It's everything from FOIL to quadratic trinomials to splitting the middle term and more in this lively, math-packed programme designed to help students expand their understanding of algebra. Show Less
Quadratic Functions
Whether it's football, fireworks or finding the zeroes, it is important to know how to recognise quadratic functions by their parabolas and squared terms. Join our hosts on an in-depth exploration of this topic as they compare quadratic and...Show More
Whether it's football, fireworks or finding the zeroes, it is important to know how to recognise quadratic functions by their parabolas and squared terms. Join our hosts on an in-depth exploration of this topic as they compare quadratic and linear functions, discover the characteristics of parabolas and explore different strategies for finding the roots of functions. You'll be sure to encounter the quadratic formula - a guaranteed way to find the roots of a function. Within the context of real-world scenarios and with the support of animated graphs and tables, see how algebra comes to life in this engaging and carefully paced programme. Show Less
Systems of Linear Equations
Join our hosts as they tackle many real-life problems by using systems of linear equations! See how these systems can have zero, one or many common solutions. In the process of finding these solutions - by graphing, substitution or elimination -...Show More
Join our hosts as they tackle many real-life problems by using systems of linear equations! See how these systems can have zero, one or many common solutions. In the process of finding these solutions - by graphing, substitution or elimination - students will discover the three possible situations associated with graphs of these systems, be warned of some common pitfalls, and determine when to choose substitution over elimination. With the support of animated graphs and tables, see how algebra comes to life in this engaging and carefully paced programme. Show Less
The Pythagorean Theorem and Right Triangles
Pythagorean Theorem is a powerful tool which people have used for centuries - and at its heart is the right triangle. Join our hosts as they investigate the relationship between a right triangle's legs and hypotenuse, uncover the history of the...Show More
Pythagorean Theorem is a powerful tool which people have used for centuries - and at its heart is the right triangle. Join our hosts as they investigate the relationship between a right triangle's legs and hypotenuse, uncover the history of the Pythagorean Theorem and show how it can be applied to situations in the real world. Students will see how this theorem can be used to find the length of an unknown side, be warned of a common mistake made when working with square roots and discover that the Distance Formula is an application of the Pythagorean Theorem on the coordinate plane. Show Less
Variables, Expressions, and Equations
The "power" of algebra. What does that mean? Students will discover how algebra provides a way to organise patterns and represent real-life scenarios as well as abstract ones so that they can think about any situation. See how algebraic...Show More
The "power" of algebra. What does that mean? Students will discover how algebra provides a way to organise patterns and represent real-life scenarios as well as abstract ones so that they can think about any situation. See how algebraic expressions can be a combination of variables, constants, coefficients and operator symbols, and learn how to write, simplify and evaluate these expressions by combining like terms and applying the order of operations. Join our hosts as they tackle problems in the world around them, help students to avoid common pitfalls such as treating a variable like a label and see how they use the Properties of Equality to isolate the variable and solve a simple equation. Show Less