Radford University
Connecting Theoretical and Experimental Probability
Play some games, develop a law, and then call it a day. Learners first perform a small number of trials for a probability experiment, then predict the result for a larger number of trials. They then compile data from the entire class to...
Radford University
AFDA Probability and Law of Large Numbers
The more trials scholars perform, the closer they'll likely be to the true value. After designing a probability experiment, young mathematicians conduct the experiment for five different numbers of trials. They then analyze the results,...
PHET
Graphing Quadratics
Quadratics only have three terms, but each one is fairly important. Scholars use an interactive to explore how each coefficient affects the graph of a quadratic function. They also see how changes to the vertex form and how changes to...
Corbett Maths
Dividing Algebraic Fractions
Do the keep, change, flip dance. The resource shows that the division of algebraic fractions follows the same rules as dividing numerical fractions. Pupils understand that if they can multiply rational expressions, they can divide...
Corbett Maths
Multiplying Algebraic Fractions
Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...
Corbett Maths
Simplifying Algebraic Fractions
Simplification is about factoring. While working with rational expressions, pupils must know how to factor. The video shows how the process of finding common factors in algebraic fractions is similar to finding common factors in...
Corbett Maths
Adding Algebraic Fractions
The process requires the combination of several concepts. A video shows how individuals need several concepts to add rational expressions. Pupils must remember they need to find common denominators, combine like terms, and use the...
Corbett Maths
Dividing Algebraic Expressions
Get back to the basics to become an expert. The short video shows the basics of dividing algebraic expressions. Using several examples, the presenter reminds viewers of the rules of exponents when dividing. Pupils practice dividing...
Corbett Maths
Average Rate of Change
Simply find the slope to find the average rate of change. A short video provides the definition of the average rate of change. Using the definition, pupils calculate the average rate of change to solve problems that cover finding average...
Corbett Maths
Instantaneous Rates of Change
Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...
Corbett Maths
Area under a Graph
What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...
Corbett Maths
Shortest Distance between Line and Point
A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...
Corbett Maths
Quadratic Inequalities
Develop a sketchy approach to solving quadratic inequalities! Using a sketch of a graph, the presenter shows a way to solve quadratic inequalities. Pupils then practice that method to solve their own quadratic inequalities and apply the...
Corbett Maths
Algebraic Proof
Proofs do not exist only in geometry. The video shows the class different ways that proofs appear in algebra. Pupils work through a variety of algebraic proofs involving the divisibility of an algebraic expression or whether it is even...
Mathed Up!
Functional Maths Questions
Dang, it's a word problem! Pupils address a variety of word problems that involve knowledge of proportions and geometric topics. The General Certificate of Secondary Education review problems require determining costs based on area...
Mathed Up!
Probability and Relative Frequency
Go ahead and take a chance. Given the probability of an event, scholars determine the frequency of the event out of a sample. The part of a review series for the General Certificate of Secondary Education math assessment asks classmates...
Mathed Up!
Drawing Quadratic Graphs
Curve through the points. The resource, created as a review for the General Certificate of Secondary Education Math test, gives scholars the opportunity to refresh their quadratic graphing skills. Pupils fill out function tables to find...
Mathed Up!
Solving Simultaneous Equations Graphically
The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...
Mathed Up!
Straight Line Graphs
Develop graphs by following the pattern. The resource provides opportunities for reviewing graphing linear equations. Pupils create tables to graph linear equations by using patterns whenever possible. The worksheet and video are part of...
Mathed Up!
Distance Time Graphs
If only there was a graph to show the distance traveled over a period of time. Given distance-time graphs, pupils read them to determine the answers to questions. Using the distance and time on a straight line, scholars calculate the...
Mathed Up!
Trial and Improvement
Try to find an estimate when the exact answer is not clear. Using the General Certificate of Secondary Education Math review resource, pupils learn how to find an estimate to a cubic equation. Class members use the trial-and-improvement...
Concord Consortium
Looking through a Window
Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
Concord Consortium
Intersections I
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...