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Flipped Math

Graphing Functions to Solve Equations

For Students 9th - 10th Standards
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Lesson Plan
EngageNY

Graphing the Tangent Function

For Students 10th - 12th Standards
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Lesson Plan
EngageNY

Identifying Proportional and Non-Proportional Relationships in Graphs

For Teachers 7th Standards
Graph a relationship to find out if it is proportional. The instructional activity introduces the criteria for determining whether a relationship is a proportional relationship based on its graph. Pupils graph relationships and determine...
Activity
US Department of Commerce

Looking at Numbers of Births Using a Line Graph

For Teachers 4th - 5th Standards
Was there a baby boom? Using census data, class members take a look at the number of 8-11 year olds and determine their birth years. Scholars create a double line graph to compare the number of births for two states for several years....
Unit Plan
National Security Agency

Going Green with Graphs

For Teachers 2nd - 3rd Standards
In this unit designed for second graders, youngsters are introduced to conducting surveys and creating tally charts based on the data they gather. Students then construct bar graphs, and observe the relationships between the two...
Unit Plan
Curated OER

Drive the Data Derby

For Teachers 3rd - 5th Standards
Three days of race car design and driving through the classroom while guessing probability could be a third graders dream. Learn to record car speed, distances traveled, and statistics by using calculation ranges using the mean, median,...
Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The lesson introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Assessment
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1
Illustrative Mathematics

Graphing Rational Functions

For Students 9th - 12th Standards
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
Unit Plan
Mathematics Vision Project

Module 5: Features of Functions

For Teachers 8th - 10th Standards
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...
Unit Plan
National Security Agency

Line Graphs: Gone Graphing

For Teachers 3rd - 6th
Practice graphing and interpreting data on line graphs with 36 pages of math activities. With rationale, worksheets, and assessment suggestions, the resource is a great addition to any graphing unit.
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson plan that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the...
Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Lesson Plan
EngageNY

Introduction to Simultaneous Equations

For Teachers 8th Standards
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Lesson Plan
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1
Chicago Botanic Garden

Historical Climate Cycles

For Teachers 5th - 6th Standards
What better way to make predictions about future weather and climate patterns than with actual climate data from the past? Young climatologists analyze data from 400,000 to 10,000 years ago to determine if climate has changed over...
Lesson Plan
Berkshire Museum

Camouflage!: Collecting Data and Concealing Color

For Teachers 2nd - 5th Standards
Help young scholars see the important role camouflage plays in the survival of animals with a fun science lesson. Starting with an outdoor activity, children take on the role of hungry birds as they search for worms represented by...
Lesson Plan
Virginia Department of Education

Organizing Topic: Probability

For Teachers 10th - 12th Standards
The probability is high learning will occur! A well-designed unit introduces learners to the concepts of independent, dependent, and mutually exclusive events. Using Venn diagrams, the lessons ask learners to analyze many different...
Unit Plan
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Mathematics Vision Project

Module 2: Systems of Equations and Inequalities

For Teachers 8th - 10th Standards
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Lesson Plan
EngageNY

Geometric Interpretations of the Solutions of a Linear System

For Teachers 8th Standards
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Lesson Plan
EngageNY

Another Computational Model of Solving a Linear System

For Teachers 8th Standards
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
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...
Lesson Plan
National Research Center for Career and Technical Education

Break-Even Point

For Teachers 9th - 12th
How do companies determine the prices of their products? Marketing maestros discover the concepts of cost and break-even point through discussion, independent practice, and a collaborative assessment. The career and technology-oriented...
Lesson Plan
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EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
App
Oddrobo Software

King of Math Junior

For Students K - 6th Standards
Do your students have what it takes to be the king of math? Find out with this fun skills practice game that covers a wide range of topics from counting and basic operations to measurement and fractions.
Lesson Plan
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EngageNY

Comparing Rational Expressions

For Students 10th - 12th Standards
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.