Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Teach Engineering
Strength of Materials
Pupils examine a stress-strain diagram that compares the advantages and disadvantages of the two common bridge building materials, concrete and steel. The also consider the factors that influence the materials builders choose for their...
Curated OER
Introduction to Graphical and Algebraic Inverses
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
Curated OER
Adding and Subtracting Polynomials
For use with a TI-nspire calculator, this lesson focuses on adding and subtracting polynomials. Learners use calculator to add and subtract polynomials using both the vertical method horizontal methods. A class discussion follows the...
August House
The Magic Pot
The Magic Pot by Patricia Coombs is the theme of this multidisciplinary lesson plan. Early readers first take part in a read aloud and grand conversation about the story's details. Then, they get to work practicing their skills in...
Virginia Department of Education
Growing Patterns and Sequences
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Virginia Department of Education
Adding and Subtracting Fractions
Your learners will enjoy playing a game as a motivator to learning and remembering the adding and subtracting of fractions.
Center for Applied Linguistics
Practical Applications of Fractions, Percents, and Decimals
Young architects are prompted to design a playground in assigned groups. Using a 10 x 10 grid. Your fifth graders will apply their knowledge of fractions, percents, and decimals to the real-world task of designing a playground....
Virginia Department of Education
Practical Problems Involving Decimals
After discussing decimals and "going shopping" in the classroom, young mathematicians are given four practical word problems that require them to estimate their answers, given specific information. The highlight of the lesson is...
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Virginia Department of Education
Rational Equations
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
Virginia Department of Education
Matching Representations
Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...
Virginia Department of Education
Solving Equations
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...
Virginia Department of Education
Solving and Graphing Inequalities
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
Virginia Department of Education
Properties of Operations
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
Virginia Department of Education
Probability
Classes explore different scenarios using manipulatives to learn about the difference between independent and dependent probability. Learners experiment with colored chips to model the two types of probabilities. To test their...
Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
Virginia Department of Education
Constructions
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.
Virginia Department of Education
Angles in Polygons
Polygons — it's all about the angles. Groups work with dynamic geometry software to find the sum of the measures of the angles of various polygons. After finding the information for several polygons, the groups generate a formula that...
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