Lesson Plan
Curated OER

Modeling: Having Kittens

For Teachers 9th - 12th Standards
Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The instructional activity focuses on developing strategies for problem solving using both individual...
Lesson Plan
Mathematics Assessment Project

Using Positive and Negative Numbers in Context

For Teachers 6th - 8th Standards
Measure the temperature of your math class with a temperature-based lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...
Lesson Plan
EngageNY

Unknown Angle Proofs—Proofs of Known Facts

For Teachers 9th - 10th Standards
Lead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...
Lesson Plan
EngageNY

Unknown Angles

For Students 9th - 10th Standards
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Lesson Plan
Turabian Teacher Collaborative

Introductions: Formulating Problem Statements

For Teachers 9th - 12th Standards
Describing a problem efficiently doesn't solve it, but a well-crafted argument can move readers to action. High schoolers focus on structuring problem statements by reading examples of strong essays and working in groups to create...
Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus...
Lesson Plan
1
1
EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
Lesson Plan
EngageNY

Properties of Logarithms

For Teachers 10th - 12th Standards
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
Lesson Plan
1
1
EngageNY

Equations Involving a Variable Expression in the Denominator

For Students 9th - 10th Standards
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson 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...
Lesson Plan
EngageNY

Counting Rules—The Fundamental Counting Principle and Permutations

For Teachers 11th - 12th Standards
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
Lesson Plan
EngageNY

The General Multiplication Rule

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

Discrete Random Variables

For Teachers 11th - 12th Standards
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
Lesson Plan
EngageNY

Linear Equations in x

For Teachers 8th Standards
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
Lesson Plan
EngageNY

Representations of a Line

For Teachers 8th Standards
Explore how to graph lines from different pieces of information. Scholars learn to graph linear functions when given an equation, given two points that satisfy the function, and when given the initial value and rate of change. They solve...
Lesson Plan
EngageNY

A Synthesis of Representations of Equivalent Ratio Collections

For Teachers 6th Standards
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
Lesson Plan
EngageNY

From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane

For Teachers 6th Standards
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units

For Teachers 6th Standards
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...
Lesson Plan
EngageNY

Interpreting Division of a Whole Number by a Fraction—Visual Models

For Teachers 6th Standards
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
Lesson Plan
EngageNY

Substituting to Evaluate Addition and Subtraction Expressions

For Teachers 6th Standards
Substitute this resource for what you used to use. Learners identify patterns in data tables and write addition and subtraction expressions to represent relationships. Substitution allows them to solve problems in context in the 20th...
Lesson Plan
EngageNY

Writing and Evaluating Expressions—Multiplication and Division

For Teachers 6th Standards
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
Lesson Plan
Curated OER

T Points from Directions

For Teachers 8th - 9th Standards
Here is a lesson that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This makes...
AP Test Prep
College Board

AP Calculus: Slope Fields

For Teachers 10th - 12th
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
Lesson Plan
Curated OER

Worksheet 26 - Functions & Logarithms

For Teachers Higher Ed
In this function and logarithms worksheet, students find the domain and range of functions, use the properties of logs to solve equations. This one-page worksheet contains nine multi-step problems.