Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
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
Logic and Conditional Statements
If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...
Virginia Department of Education
Equation Vocabulary
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
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
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...
Virginia Department of Education
Graphing Systems of Inequalities
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.
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
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...
Virginia Department of Education
Multiplying Polynomials Using Algebra Tiles
Tiles are not just for algebra—see how they can help with multiplication too. Young mathematicians learn to use algebra tiles to model the multiplication of polynomials. A follow-up worksheet provides practice with the skill.
Virginia Department of Education
Adding and Subtracting Polynomials Using Algebra Tiles
Scholars learn how using algebra tiles to add and subtract polynomials can model how to combine polynomials. They use their newfound knowledge to complete a worksheet of problems.
Virginia Department of Education
Cover Up Problems
Don't cover up this resource — use it out in the open! Pupils learn how to cover up various parts of a linear equation in order to help solve the equation. A worksheet of problems provides practice with this skill.
Virginia Department of Education
Algebra Tiles and Solving Equations
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
Virginia Department of Education
Solve for the Unknown
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
Virginia Department of Education
Equations of Lines
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then...
Virginia Department of Education
Transformations
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....
Virginia Department of Education
The Pythagorean Relationship
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
Virginia Department of Education
Independent and Dependent Variables
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
Virginia Department of Education
Quadrilateral Sort
If only you had a Sorting Hat to sort out quadrilaterals. Learners sort cutouts of quadrilaterals based on their properties and attributes. A flowchart helps them organize the results of the activity.
Virginia Department of Education
Absolute Value
Your birthday can be more than just about presents; it can even teach about absolute value. The class investigates absolute value as the distance from zero on a number line. Plotting birth months and comparing each birth month to July...
Virginia Department of Education
Arithmetic and Geometric Sequences
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.