EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day activity is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
West Contra Costa Unified School District
Interest and the Number “e”
Make a connection between different types of interest and how they are calculated! This algebra II lesson progresses from simple interest to compound interest to continually compounded interest. Formulas are developed rather than given,...
Curated OER
Year Two: Time
In this math vocabulary learning exercise, students review math vocabulary words that have to do with time. Students complete this for 21 words.
T. Smith Publishing
Finding Percentages 6A
A list of 20 two to three-digit numbers asks math whizzes to determine specified percentages for each. The publisher has linked the assignment to CCSS.Math.Content.6RP.3, and it is targeted at the discreet skill of finding a percent of a...
Curated OER
Study Buddies- Estimating Products
In this math worksheet, students work with a partner to practice estimating products using rounding. They discuss the process of rounding and whether multiplying the rounded numbers is easier or more difficult than multiplying the...
Curated OER
Algebra II Test
In this algebra test, students must determine 3 definitions, match 4 equations to the answer, 4 short answer, and graph 4 points on a coordinate plane. There are 20 questions total.
Curated OER
Worksheet 37
Students review the general form of the solution to the Dirichlet problem on the rectangle 0 ≤ x ≤ a, 0 ≤ y ≤ b with homogeneous boundary conditions except for u(a, y) = f(y). Then they use the symmetry to find the general form of the...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
EngageNY
The Opposite of a Number's Opposite
It's said that opposites attract, but what about opposites of opposites? Individuals learn about the opposite of opposites using number lines. They complete a group activity in which members determine the opposite of opposites of integers.
Curated OER
Worksheet 5
In this math worksheet, students review integrating factors for linear equations. Then they read about the definition and solving of homogeneous equations.
Curated OER
Worksheet 38
In this math activity, students investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
EngageNY
Sampling Variability
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
Charleston School District
Operations with Exponents
It just multiplies out. The lesson provides the rules for operations with exponents and keeps them as positive integers in the lesson. Videos explain the rules for the operations with exponents while working out examples.
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...
Curated OER
Rational and Irrational Numbers 2
Is the circumference of a circle always, sometimes, or never rational? Learners answer questions individually and also work in groups to look at sums and products of rational and irrational numbers. They must also be able to use the...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from a point to a...
Illustrative Mathematics
Kitchen Floor Tiles
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Learner
Solid Shapes
A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Curated OER
Stem-and-Leaf Plots
In this stem-and-leaf plots worksheet, 9th graders solve and complete 9 various types of problems. First, they determine the mean, median, and mode of the stem-and-leaf plot shown. Then, students summarize the similarities and...