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NY Learns
Investigation - Looking at Polygons
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Illustrative Mathematics
Walk-a-thon 1
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
Curated OER
Adaptations to Niches and Habitats
Life science learners measure and record traits of seeds, leaves, and their own hands and then graph the data to find a continous distribution curve. They compare and color diagrams of seven different animals' forelimbs (not included),...
Alabama Learning Exchange
The World of Integers
Review operations related to rational numbers and integers using the include PowerPoint presentation, "Interesting Integers." Young mathematicians classify rational numbers as being natural, whole, or integers and read an article about...
Willow Tree
Functions
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it.
Curated OER
Slope-Intercept Form of a Line
Using the subscriber website Explorelearning.com, young mathematicians observe changes in the slope and y-intercept and their effect on the graph of lines. This activity helps middle schoolers develop an intuitive sense of the connection...
Curated OER
Introduction to Flight: A Math, Science and Technology Integrated Project
Seventh graders review graphing procedures and practice locating points using x,y coordinates. Students calculate the areas of the top and bottom surfaces of the airfoil. They construct a test model of the airfoil.
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
Creating Climographs
Students use satellite data to compare precipitation and surface temperatures on different islands. In this satellite lesson students create graphs and explain the differences between weather and climate.
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
Curated OER
Carbon Monoxide and Population Density
Tenth graders investigate the carbon monoxide level at a fixed latitude. They determine if there is a relationship to population density. They download data sets and generate a graph. They determine a link between human activity and...
Curated OER
Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra activity, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
Teach Engineering
All About Linear Programming
Class members connect engineering with an understanding of linear programming using a technical resource. Scholars learn about linear programming (linear optimization) and how it applies to engineering design in the first of two modules....
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Curated OER
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
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 begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Virginia Department of Education
Linear Curve of Best Fit
Is foot length to forearm length a linear association? The class collects data of fellow scholars' foot length and the length of their forearms. They plot the data and find a line of best fit. Using that line, they make predictions of...
Curated OER
Separate Vacations
Students plot the migration paths of birds using latitude and longitude data from a table.
Curated OER
Understanding Weather and Climate Patterns
Students research the climate patterns of various locations and make predictions based on their findings. They determine the importance of latitude and longitude in weather and climate. Students create graphs displaying their collected...
Curated OER
Exploring Transformations
Students explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.