Curated OER
The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
Curated OER
Differentials
Students investigate Differential equations using derivatives. In this calculus instructional activity, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation...
Curated OER
Tilted Squares and Right Triangles
Students investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
Curated OER
Numerical Analysis: Polynomial Interpolation
In this polynomial worksheet, students identify the interpolated and extrapolated value of given equations. This four-page worksheet contains approximately ten problems. Explanations and examples are provided.
Curated OER
Still More Lollies
Fourth graders listen to the problem to the class and think about how they solve the problem and to discuss it with their friends using number sentences in their written record of the solution.
Curated OER
Can Stack
Students are able to find the rule for summing consecutive numbers;
identify the pattern of triangular numbers. They then solve the given problem using logic and mathematical reasoning.
Curated OER
Tortillas
Students convert recipes for tortillas. They calculate the amounts of ingredients as they convert recipes and write an explanation of the task to demonstrate their calculations. After reviewing their calculations, they demonstrate how...
Curated OER
Jackson's Consecutive Numbers
Students generate patterns from a structured problem, finding a rule for the general term, and expresses it in words and symbols. They then devise and use problem solving strategies to explore situations mathematically.
Curated OER
Rows of Numbers
Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.
Curated OER
Perimeters, Patterns, and Conjectures
Young scholars discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in...
Curated OER
Solving Systems of Inequalities
In this algebra learning exercise, learners solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Curated OER
Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
Curated OER
Graphing and the Coordinate Plane
Students examine the four quadrants of Cartesian coordinate plane. They play maze games and coordinate games to discover how to read and plot points on the plane. Students plot points on the coordinate plane and examine the ratio of...
Curated OER
Walking Home II
Students explore the relationship between distance and time. They analyze a situation involving distance traveled in a given period of time, represent the situation graphically and algebraically, and discuss the concept of slope as a...
American Statistical Association
Scatter It! (Predict Billy’s Height)
How do doctors predict a child's future height? Scholars use one case study to determine the height of a child two years into the future. They graph the given data, determine the line of best fit, and use that to estimate the height in...
Radford University
Sleep and Teen Obesity: Is there a Correlation?
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
Radford University
A Change in the Weather
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
Curated OER
Flow Rates of Faucets and Rivers
Students work together to discover the flow rates of faucets and rivers. They relate their results to engineering and applied science concepts. They make predictions on the flow rate of a nearby river in their local community.
Curated OER
Reading Graphs
Middle schoolers practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
Curated OER
Reading Graphs
Students plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.
Curated OER
Graphing and the Coordinate Plane
Students learn about the Cartesian coordinate plane, understand the four quadrants of the Cartesian coordinate plane, and plot points on the plane. Students read coordinates for a point from a graph and give the ratio of rise over run...
Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.