Curated OER
Polynomials and Linear Factors
This algebra activity reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental Theorem...
Curated OER
Real-Life Problems: Measures
Do your fifth graders have trouble writing out their work for word problems? Use this instructional activity about measurements and the four equations, which provides separate spaces to write the equations and the answers. A nice way to...
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning capabilities...
Federal Reserve Bank
Retirement Planning
It's never too early to start saving for retirement. In fact, the earlier one starts, the better! Use this retirement planning activity to teach the importance of a retirement strategy and why to start at a young age.
Illustrative Mathematics
Global Positioning System II
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device is...
Curated OER
Let Algebra Tiles Solve Equations for You
High schoolers practice solving algebra equations utilizing model tiles. In this algebra lesson, students observe a clip from the movie Homeward Bound and break the action down into an algebraic equation. High schoolers solve an...
Curated OER
Using Algebra to Solve Puzzles
Students explore basic algebraic operations to solve real life situations. Additional problems are presented to continue the exploration of the concept.
Curated OER
Algebra: Olympic Races
Students use Olympic athlete statistics to make algebraic calculations. In this algebraic equation lesson, students use algebra to calculate athlete speed and calories burned.
Curated OER
Nine Solving Algebraic Equations Problems
In this solving algebraic equations learning exercise, students solve nine equations for the variable a. A sample problem and the solutions are provided.
Curated OER
Algebraic Substitution for Electric Circuits
For this physics worksheet, students use Ohm's law to solve for voltage, current and resistance. They answer 13 problem solving questions using Ohm's law.
Curated OER
Number and Consecutive Integer Problems
In this word problem worksheet, student solve 32 number and consecutive integer problems. High schoolers use variables and algebraic reasoning to solve each problem.
Curated OER
MT-A315 Introduction to Linear Algebra: Worksheet 5.1
In this linear algebra worksheet, students identify the determinant of a matrix. They predict the determinant of a matrix and describe how they are related. Students answer three multi-step problems.
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
EngageNY
Creating and Solving Quadratic Equations in One Variable
Give your classes practice at modeling using quadratic models with a resource that uses area and integer problems to allow individuals to create second degree polynomials. Young mathematicians solve equations using factoring and then...
EngageNY
Solving Basic One-Variable Quadratic Equations
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by square...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the square.
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
EngageNY
Writing Division Expressions
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this instructional activity on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...