EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
Curated OER
Hand Span and Height
Is there a relationship between hand span width and height? Statisticians survey each other by taking measurements of both. A table that can hold data for 24 individuals is printed onto the worksheet, along with questions for analysis....
Curated OER
Functions and the Vertical Line Test
Learners examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
Curated OER
Leaf Patterns
First graders explore the existence of patterns in everyday items. For this science and math integrated lesson, 1st graders match leaves with a name word card and organize them into four patterns. This lesson includes a reading of And...
Curated OER
A Special Relationship
Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
EngageNY
Analyzing Residuals (Part 2)
Learn about patterns in residual plots with an informative math lesson. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Curated OER
Patterns and Functions
Students investigate properties of perimeter and area. In this middle school mathematics lesson, students explore patterns in a problem solving context. Students model and solve problems using various representations for the data as...
Curated OER
Swimmy's Friends
Students solve problems using various strategies. In this problem solving lesson, students read the book Swimmy by Leo Lionni. Students make fish swimming patterns, measure how many goldfish crackers it takes to make a handprint and...
Curated OER
Sondheim: Secret Metaphors
Learners explore the work of Stephen Sondheim. In this musical theater instructional activity, students examine the musicals Merrily We Roll Along and Sunday in the Park with George. Learners identify and anaylze linear and nonlinear...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 6
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
Curated OER
The Window Problem
Students identify patterns and compute formulas to solve the problems. In this algebra lesson, students come up with a rule given a pattern, and analyze the relationship between data and graphs.
Curated OER
Causal Patterns in Air Pressure Phenomena
High schoolers explore air pressure. They observe what happens when you drink from a straw. Students experiment and create models to prove examine air pressure and vacuums. Shigh schoolers contrast how linear and relational casusal...
Curated OER
TI-Nspire Activity: What Does Your Representation Tell You?
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
Curated OER
Direct and Inverse Variation
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...
Curated OER
The Memory Play in American Drama
Students take a closer look at a memory play. In this American drama lesson, students read Tennessee Williams's The Glass Menagerie and analyze it as a memory play. Students discuss the linear and non-linear aspects of the play prior to...
American Statistical Association
What Fits?
The bounce of a golf ball changes the result in golf, mini golf—and a great math activity. Scholars graph the height of golf ball bounces before finding a line of best fit. They analyze their own data and the results of others to better...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Curated OER
Data and Scientific Graphs
Learners conduct experiments and graph their data. In this statistics instructional activity, students collect data and graph it on a coordinate plane. They analyze the data looking for patterns and they discuss their findings with the...