Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
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
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
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
Special Right Triangles and Right Triangle Trigonometry
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
Virginia Department of Education
Arc Length and Area of a Sector
What do skateboarding and baked goods have in common with math? You can use them to connect half-pipe ramps and cakes to arcs and sectors. Pupils compare the lengths of three different ramp options of a skate park. They calculate the...
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Virginia Department of Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
Virginia Department of Education
Curve of Best Fit
Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...
Virginia Department of Education
Calculating Measures of Dispersion
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
Virginia Department of Education
Permutations and Combinations
Counting is not all it adds up to be — sometimes it involves multiplying. The lesson introduces permutations and combinations as ways of counting, depending upon whether order is important. Pupils learn about factorials and the formulas...
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
Graphs
Examine different types of graphs as a means for analyzing data. Math scholars identify the type of graph from a series of data displays and then develop questions to match each one. Then, given a scatter plot of height versus age...
Virginia Department of Education
Pythagorean Theorem
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
Virginia Department of Education
Powers of Ten
Investigate negative exponents of-ten. Pupils use the pattern of increasing powers of 10 to determine negative powers of 10. The scholars write the powers in expanded and product forms and make the connection to exponents using a...
Virginia Department of Education
Scientific Notation
Writing a number is all in the notation. The resource introduces the class to scientific notation. Pupils learn the process of taking a very large or small number in standard form and write it in scientific notation. To practice,...
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
Inequalities
Not all resources are created equal — and your class benefits! Scholars learn how to solve one-step inequalities using inverse operations. They complete an activity matching inequalities to their solutions.
Virginia Department of Education
Field Goals, Balls, and Nets
Score a resource on ratios. Young mathematicians learn about different ways to express ratios. Using sports data, they write statements about the statistics in ratio form.
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.
Virginia Department of Education
Integers: Multiplication and Division
Rules are meant to be broken ... but not integer multiplication and division rules. Learners use chips to model integer multiplication and division. The results of the activity help them develop integer rules for these operations.