Curated OER
Patterns and Algebra - Modeling
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson plan, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and y-intercept...
Curated OER
Equal Differences Over Equal Intervals 1
Learners explore linear functions concretely using tables of values in a cooperative task. The concept of the values of linear functions changing by equal differences over equal intervals of one is emphasized. Learners will discover the...
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.
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...
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...
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...
EngageNY
Why Do Banks Pay YOU to Provide Their Services?
How does a bank make money? That is the question at the based of a lesson that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest pattern.
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...
Curated OER
Investigation - Looking For Triangles
Seventh graders investigate a series of triangles, looking for patterns and generalizing what they have found. They analyze the pattern data and organize it into a table and graph. Students identify the relationship and discover the rule...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Exploding Numbers
Students discuss how numbers increase when exponential growth is occurring. They view a video and compare exponential and linear growth with a graphing calculator.
Curated OER
Odd and Even
Explore the concept of odd and even with your class using this resource. Learners take an online test demonstrating their knowledge of odd and even, sing a song about the concept, and engage in computer-based activities.
Curated OER
Algebraic Relationships
Here are 17 various forms of problems that range from matching equivalent expressions to word problems. Included are problems for substutiing values into expressions and using the order of operations, simplifying algebraic expressions,...
Curated OER
How Does Your Population Grown?
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
Curated OER
Looking For Triangles
Learners solve problems with triangles. In this geometry instructional activity, students analyze shapes to find different triangles. They name the shapes created by putting triangles together.