Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Curated OER
Interesting Properties of Cubic Functions to Discover Graphically or Numerically
Learners investigate the slope of a cubic function. They find the tangent line of the cubic function at point P, and discuss the relationship between point P and point Q, the point the tangent line intersects the cubic function. ...
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson plan begins with looking at limits of simple linear and rational functions, and leads to the definition of...
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Curated OER
Sloping and Intersecting a Linear Function
Pupils examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
Curated OER
Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
Curated OER
Worksheet 10 - Limits
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
NOAA
Importance of Deep-Sea Ecosystems – How Diverse is That?
When judging diversity of an ecosystem, both species evenness and species richness must contribute. After a discussion of diversity and a guided example using the Shannon-Weaver function, scholars use the same function on two other...
Curated OER
Inequalities 7.3
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
Curated OER
Earthquakes
Eighth graders demonstrate the mathematical components of a scientific problem as well as illustrate how real world problems can be solved using math. They demonstrate math skills such as rate calculation, graphing, and linear equations.