West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
National Security Agency
Systems of Equations and Inequalities
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual...
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Skate Party
Learners use the Frayer model during problem solving. In this problem solving lesson, they examine multiple methods of data collection to solve real world problems. Resources are provided.
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Curated OER
Fractions, Decimals, and Percentages Got You Down? "Tri" This!
Students explore number sense by creating a math presentation in class. For this parts of a whole lesson, students define and discuss the relationship between fractions, decimals and percentages before completing a problem worksheet in...
Curated OER
Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this activity to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses...
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
Curated OER
Variables and Open Sentences
Fourth graders examine the purpose of variables and identify the missing variable in open sentences. They observe the teacher solve a variety of problems, complete a worksheet as a class, and independently complete another worksheet. ...
Curated OER
Solving with the GERMDAS method
Students use the order of operation to solve problems. In this algebra lesson, students solve linear equations in standard form. They use GERMDAS to solve the problems following the specific steps. They graph their solutions and analyze...
Curated OER
Name That Tune: Matching Musical Tones Through Waveform Analysis
Pupils detect the waveform of musical notes to determine the code for the "safe" in this forensics simulation lesson. They use a microphone and tuning forks along with Vernier EasyData on their graphing calculator to analyze five musical...
Curated OER
Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. For this algebra lesson, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Curated OER
Iterating the Function over Real Numbers
Students use a spreadsheet to find sequences of numbers. For this algebra lesson, students find the values for c of a quadratic written in standard form. They relate the behavior of the graph to the values of the equation.
EngageNY
Completing the Square (part 2)
Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for...
Curated OER
Pocket Change
Students explore algebraic relationships using the coins in their "pocket." Interactive games that demonstrate the use of estimation in algebraic problem solving help them build a framework for understanding word problems in a way that...
NTTI
Putting Together Ten
Groups explore sets of 10 items in two varieties (i.e. 3 white buttons and 7 black ones, or 5 bears and 5 bunnies). They brainstorm about their objects, write math sentences to represent what they have, and report their discoveries...
Curated OER
Quadratic Equations with the CBL 2
Learners practice generating parabolas with a motion sensor while determining the vertex form of the equation. They compare it to the regression equation from the calculator onto a data mate software. Each student completes several...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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...
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...