EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson has scholars use given...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
EngageNY
Transformations of the Graphs of Logarithmic and Exponential Functions
Transform your instructional activity on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation,...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
EngageNY
Buying a House
There's no place like home. Future home owners investigate the cost of buying a house in the 33rd installment of a 35-part module. They come to realize that the calculations are simply a variation of previous formulas involving car loans...
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
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...
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
EngageNY
Solving Quadratic Equations by Completing the Square
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
EngageNY
Representing, Naming, and Evaluating Functions (Part 1)
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range.
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....
Google
Surveys and Estimating Large Quantities
Looking for an estimation activity a bit more involved than the typical "guess the number of jellybeans in the jar" game? Here, learners use a picture to estimate the number of people at a large event, look for potential problems with...
Google
The Law of Large Numbers and Probability
Learners investigate why theoretical probability doesn't always match reality. The activity involves using Python 2.7 (or Sage) to set up a Bernoulli Trial. It also involves setting up a spreadsheet to simulate the Birthday Paradox....
Curated OER
Telling Time: Using 24-Hour Time
In this telling time worksheet, students read analog clock faces in afternoon or evening times and write the times using twenty-four hour time. Students write 16 answers.
Illustrative Mathematics
Fishing Adventures 2
This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
West Contra Costa Unified School District
Solving Exponential Equations
The power to solve exponential equations lies in the resource. Scholars first learn how to solve exponential equations. An activity matching cards with equations, intermediate steps, and solutions strengthens this skill.
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
West Contra Costa Unified School District
Motion Problems
Let's hope class participants don't get motion sickness. In the lesson, class members first solve motion problems using tables and graphs. They then use algebraic techniques to solve motion problems.
Curated OER
Solving Linear Inequalities
Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...
West Contra Costa Unified School District
Introduction to Conditional Probability
Here is a turnkey lesson that walks young statisticians through the development and uses of conditional probability. From dice games to surveys, Venn diagrams to frequency tables, the class learns how a given can effect the overall...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...