EngageNY
Finding Systems of Inequalities That Describe Triangular and Rectangular Regions
How do you build a polygon from an inequality? An engaging instructional activity challenges pupils to do just that. Building from the previous instructional activity in this series, learners write systems of inequalities to model...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
EngageNY
The General Multiplication Rule
In the first installment of a 21-part module, scholars build on previous understandings of probability to develop the multiplication rule for independent and dependent events. They use the rule to solve contextual problems.
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Willow Tree
Functions
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it.
EngageNY
Inscribed Angle Theorem and Its Applications
Inscribed angles are central to the lesson. Young mathematicians build upon concepts learned in the previous lesson and formalize the Inscribed Angle Theorem relating inscribed and central angles. The lesson then guides learners to prove...
CK-12 Foundation
Vertical Line Test: Exploration
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
EngageNY
One-Step Problems in the Real World
Mirror, mirror on the wall, which is the fairest resource of them all? Individuals write and solve one-step equations for problems about angle measurement, including those involving mirrors. Both mathematical and real-world problems are...
Curated OER
Rotations
Young scholars discuss the concepts of reflection, rotation, and translation. In this rotation activity, students investigate rotations through examples on an overhead projector. No additional worksheet or student assignment is included.
Curated OER
Identifying Parallel and Perpendicular Lines
Students explore basic geometry. In this geometry lesson, students study points and lines that exist in flat planes. Students investigate parallel and perpendicular lines.
Curated OER
Graphing Solutions
In this graphing solutions worksheet, 9th graders solve 13 various types of problems. First, they find the solution of each systems by graphing on the coordinate plane provided. Then, students solve each systems of equations...
Curated OER
Angles: Prove It!
In this angle worksheet, students first draw a set of intersecting lines, then use a protractor to complete a set of instructions about angles and answer related questions. Answers included on page 2.
Curated OER
Exploring Angle/Pair Relationships
Students find missing angles and sides of triangles. For this geometry lesson, students create intersecting lines to measure angles. They use Cabri Software to create virtual angles.
Curated OER
Introductory Algebra Chapter 8 Review
In this math worksheet, pupils solve the problems that are correlated with the objectives. Each practice set has an in depth example.
Curated OER
Snow Cover By Latitude
Students create graphs comparing the amount of snow cover along selected latitudes using data sets from a NASA website. They create a spreadsheet and a bar graph on the computer, and analyze the data.
Curated OER
X-Intercepts
In this x-intercepts, students explore the equations of a line, set "y" equal to zero to determine the x-intercept. Explanations and examples are provided. This two-page worksheet contains ten problems.
Curated OER
Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
Curated OER
Applications of Hyperbolas
For this hyperbola worksheet, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra instructional activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.