Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Curated OER
Seesaw Balances
Students determine how the weights of 7 objects on a seesaw can vary and still be in balance. They also write equations in algebraic terms, how to change 3 variables in an equation expressed in algebraic terms to obtain the correct...
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second instructional activity of the module. They consider functions as input-output machines and develop function rules for selected functions.
Curated OER
The Customers
Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function.
EngageNY
True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
EngageNY
What Is a Trigonometric Identity?
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
Council for Economic Education
Loan Amortization - Mortgage
When you buy a home for $100,000, you pay $100,000—right? On the list of important things for individuals to understand, the lesson presents the concept of interest rates and loan amortization using spreadsheets and online sources....
Curated OER
Combining Like Terms
Students define terminology used in simplifying equations. In this algebra lesson, students combine like terms to solve an equation. They use substitution, division, addition and subtractions to help simplify the equation. They multiply...
Curated OER
Miles of Tiles - The Pool Border Problem
Students recognize patterns and represent situations using algebraic notation and variables. In this variables and patterns lesson plan, students identify a pattern involving the number of tiles required to form a border around a pool...
Curated OER
Which Bag is Which?
Students explore number sense by completing a statistical analysis game in class. In this data graphing activity, students utilize visual references such as colored cubes and tiles to map out the results of an experiment outcome such as...
Curated OER
Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and equations...
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...
Curated OER
Newton's Law of Cooling
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.
EngageNY
Solution Sets for Equations and Inequalities
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
EngageNY
The Zero Product Property
Zero in on your pupils' understanding of solving quadratic equations. Spend time developing the purpose of the zero product property so that young mathematicians understand why the equations should be set equal to zero and how that...
Curated OER
The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Curated OER
Algebra...Your Second Language
Help learners translate word problems into algebraic equations. They will rewrite words using symbols and evaluate algebraic expressions using real life scenarios, animation sequences, video presentations, and activities to help young...
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson plan that makes a strong connection to the symmetry of the graph and its key features before individuals...
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous activity, the second activity in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
Pennsylvania Department of Education
What is the Chance?
Fourth and fifth graders make predictions using data. In this analyzing data instructional activity, pupils use experimental data, frequency tables, and line plots to look for patterns in the data in order to determine chance. You will...
Mathematics Assessment Project
Solving Linear Equations
Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
Futures Channel
Algebra Magic
Abracadabra! Letters can be used in math to represent numbers with the operations of addition, subtraction, multiplication, and division to solve problems! Math magicians will participate in an activity that uses a calculator and a bag...