University of Utah
Representations of a Line
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of parallel and...
Curated OER
Writing Linear Equations in Different Forms
Can your class write linear equations three different ways? Here is a study guide that includes slope-intercept, standard, and point-slope forms. Learners are given the slope and a point on the line, or two points and are asked to write...
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
Curated OER
Visual and Number Patterns
Fourth graders develop strategies for identifying geometric and number patterns. In this mathematical patterns lesson, 4th graders use pattern blocks to make repeating patterns with numbers and shapes. Students then explore number...
Virginia Department of Education
Slippery Slope
Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Mathematics Vision Project
Quadratic Functions
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan. Learners develop recursive and closed methods for representing real-life situations, then apply these...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Howard County Schools
To Babysit or Not to Babysit?
Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...
Concord Consortium
Functions by the Slice
Piece by piece ... dismantling a function can highlight interesting patterns. The task asks learners to slice functions in sections with the same vertical change. They then recreate the graph with these slices positioned horizontally....
Howard County Schools
Setting the Table
How many people can fit around a table? Depends on the size of the table, right? Explore patterns to generate an equation for the number of people that can fit around a table given its size.
101 Questions
25 Billion Apps
Learn to use mathematics to your advantage! Using linear modeling, scholars predict the date and time the Apple App Store reaches 25 billion downloads. Considering the prize for the 25 billionth download was a $10,000 gift card, modeling...
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.
Curated OER
Patterns and Linear Functions
Students investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
Curated OER
Sloping and Intersecting a Linear Function
Students 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
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
Iterating Linear Functions
Pupils use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Curated OER
Leaf Patterns
First graders explore the existence of patterns in everyday items. In this science and math integrated instructional activity, 1st graders match leaves with a name word card and organize them into four patterns. This instructional...
Curated OER
Finding Patterns and Graphing Functions
Young scholars investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Young scholars graph their results and...
Curated OER
Linear Functions-Learn Your Lines
Students solve and graph linear equations. In this algebra activity, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
Curated OER
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
Linear Functions
Students solve and graph linear equations. In this algebra lesson, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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