PBL Pathways
Medical Insurance
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
PBL Pathways
Death Project
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
Virginia Department of Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
EngageNY
Solving for Unknown Angles Using Equations II
The third activity in the series of 29 asks learners to identify types of angles to verify angle relationships. They find unknown measures using vertical, adjacent, complementary, supplementary, and 360-degree angles.
EngageNY
Solving for Unknown Angles Using Equations
They say a picture is worth a thousand words—and your pupils may agree after this instructional activity! They read a geometric description and create a diagram from that description. Their diagrams help them find unknown measures based...
EngageNY
Angle Problems and Solving Equations
Learners build connections between algebra and geometry as they study equation solving. The ninth instructional activity in the series of 28 asks pupils to write equations using angle relationships. After writing equations to model...
EngageNY
Solving for Unknown Angles Using Equations III
Challenge your classes to combine geometric and algebraic concepts with an activity that builds on concepts learned in the first three lessons of the series. The fourth part asks scholars to identify geometric angle relationships and use...
EngageNY
Angle Problems and Solving Equations II
Demonstrate the application of algebra to geometric angle relationships with an activity that asks learners to use what they know about adjacent and vertical angles to write algebraic equations. Diagrams become more complex in this...
EngageNY
Finding Equivalent Ratios Given the Total Quantity
Complete incomplete tables by using proportions. Pupils use information provided to complete tables based on proportions. Class members use their knowledge of part-to-part ratios and totals to find the missing information.
Virginia Department of Education
Solve for the Unknown
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
EngageNY
Solving Equations Using Algebra 2
If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...
EngageNY
Solving Equations Using Algebra
Use a tape diagram to emulate the steps of solving equations. The 23rd installment in a 25-part unit presents two-step linear equation problems to solve. Pupils use tape diagrams to solve the problems along with linear equations. To...
EngageNY
Multi-Step Ratio Problems
Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...
EngageNY
Representing Proportional Relationships with Equations 2
Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...
EngageNY
Word Problems
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...
EngageNY
Constant Rate
Two-variable equations can express a constant rate situation. The instructional activity presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
EngageNY
Writing and Solving Linear Equations
Incorporate geometry into the solving linear equations lesson. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a familiar context for...
EngageNY
Writing Equations Using Symbols
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...
Balanced Assessment
Writing and Sketching Resource
Picture this—the class creates pictures using functions. Here, learners build functions to model specific graphic criteria. They use their knowledge of parent functions and transformations to create the perfect function.
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
West Contra Costa Unified School District
Mixture Problems
Mix up your lessons with the resource on mixture problems. Scholars use manipulatives to model and solve mixture problems. Individuals then set up both one- and two-variable equations to solve the problems.