EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Shodor Education Foundation
Function Flyer
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
Mathematics Assessment Project
Cross Totals
Finally, it all adds up. Learners complete a number puzzle in which they investigate the sums of the digits one through nine in a cross pattern. They then try to determine what totals are possible and which ones are...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
CK-12 Foundation
Function Rules for Input-Output Tables: Whats My Rule?
What's the rule that makes it true? A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
CK-12 Foundation
Sequence: The Sequence Calculator
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
101 Questions
Toothpicks
Analyze patterns and build functions. Young scholars work on their modeling skills with an inquiry-based lesson. After watching a video presentation of the problem, they write functions and make predictions.
Kenan Fellows
How Does an Unhealthy Diet Influence our Health and Well-Being?
You are what you eat, or so they say! After surveying family and friends on a week of eating habits, learners analyze the data for patterns. They compare different variables such as fats and cost, fats and calories, or fats and LDLs.
PBS
The Yo-Yo Problem
What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...
Alabama Learning Exchange
Bloodstain Pattern Doesn't Lie......
An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
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 lesson begins with the vocabulary of a quadratic graph and uses...
Chemistry Collective
Chemical Potential: Staircase Demonstration
It's all uphill from here! Scholars examine the pattern of random particle motion up a staircase. The simulation shows how the linear increase in energy corresponds to an exponential decrease in particle concentration.
CK-12 Foundation
Direct Variation: Value of a Painting
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
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
Interpreting Data
For this interpreting data worksheet, students solve and complete 4 different types of problems using different data types. First, they collect raw data from a paragraph shown. Then, students identify the examples of two different types...
Curated OER
Move It
Studens collect and graph data. In this algebra lesson, students use a CBL and CBR with a TI Calcualtor to observe linear graphs. They use the correct vocabualry as they discuss the collected data.
Curated OER
That's a Fine Line You're Walking!
Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
Curated OER
I Can Do This! Systems of Equations
Students solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
Curated OER
Gummy vs. Gum
Young scholars explore numbers patterns and write equations to describe the pattern. They apply the equations to further the patterns.
Curated OER
How popular is your favorite site?
Learners gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
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
Graphing Real World Situations
Students solve linear equations using graphs. In this algebra lesson, students depict real life situation using lines and functions. They identify the slope, data and predict graphing behavior.
Curated OER
The Power of Algebra
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
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