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EngageNY
Translations
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
EngageNY
Inscribed Angle Theorem and Its Applications
Inscribed angles are central to the instructional activity. Young mathematicians build upon concepts learned in the previous instructional activity and formalize the Inscribed Angle Theorem relating inscribed and central angles. The...
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
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...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
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...
Curated OER
Introductory Algebra Chapter 8 Review
In this math worksheet, young scholars solve the problems that are correlated with the objectives. Each practice set has an in depth example.
Curated OER
y Intercepts
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
EngageNY
Graphs Can Solve Equations Too
There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of...
EngageNY
Review of the Assumptions (part 1)
What was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...
EngageNY
Dividing the King’s Foot into 12 Equal Pieces
Apply, apply, apply! A measurement activity applies a number of concepts to help learn a new construction. Scholars learn to divide a segment into n equal parts using a method that uses the Side Splitter Theorem and a method...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Curated OER
Quadratic Functions
Students explore the concept of quadratic equations. In this quadratic equations instructional activity, students determine what shifts of a parent graph will look like by describing in sentences. Students factor quadratic...
Curated OER
Applications and Writing Functions
In this college level Pre-Calculus worksheet, students use polynomial and rational functions to solve application word problems. The three page worksheet contains forty-four problems. Answers are not included.
Curated OER
Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. For this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and...
Curated OER
United States Population: Using Quadratic Models
In this United States population worksheet, students solve word problems about the United States population by using the quadratic formula. Students complete 6 problems.
Curated OER
Measure Up!
Learners examine parallax and angular measurements. In this investigative lesson students calculate distances of objects and map their results.
Curated OER
Graphing Systems of Equations - Word Problemsr
Students solve word problems which involve graphing systems of equations. After discussing methods of solving word problems, the teacher demonstrates how to solve problems which involve graphing. They work together, at their desks, and...
Curated OER
Working With Angles
In this math worksheet, students collaborate with a "study buddy" or "coach" to learn whether an angle is acute, obtuse or right. Students follow the directions to go through the process of deciding what classification an angle has....
University of Georgia
University of Georgia: Inter Math: Intersection of Sets
This site gives a description of intersection of sets along with an example. There are links to related terms, challenging problems, more information, and the interactive check point involving set intersections located in the left-hand...