Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Virginia Department of Education
Translate and Evaluate
Translate, evaluate, educate. Discover how to translate and evaluate expressions. Young mathematicians first review words and phrases that indicate operations and learn to write algebraic expressions from verbal descriptions....
West Contra Costa Unified School District
Talking About Distance, Rate and Time
Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.
Curated OER
Adding and Subtracting Polynomials Using Algebra Tiles
Students add and subtract polynomials. In this algebra lesson, students use algebra tiles to perform operation of polynomials. They model their problems and understand how to combine like terms using tiles.
Curated OER
Basic Algebra and Computers: Spreadsheets, Charts, and Simple Line Graphs
Students, while in the computer lab, assess how to use Microsoft Excel as a "graphing calculator." They view visual representations of line graphs in a Cartesian plane while incorporating basic skills for using Excel productively.
Curated OER
Model and Solve Algebraic Equations
Examine multiple ways to solve algebraic equations. Pupils will generate a problem solving strategy that addresses the prompt given by the teacher. They will then share their problem solving strategy with the class. Graphic organizers,...
Worksheet Fun
Convert between Percents, Fractions and Decimals #1
Pre algebraic learners will be able to master conversion of fractions, decimals, and percents in no time when they use the illustrations on this resource.
Curated OER
Systems in Multiple Representations
Ninth graders solve systems of equations. For this algebra lesson, 9th graders solve systems of equations by substitution and linear combination. They represent systems using a table, graph and equations.
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
College Board
Engaging the Intuition in Statistics to Motivate
Motivation is key to learning. The author points out that it is important to engage intuition for aspects of statistics that pupils find counter-intuitive. Three strategies—using multiple representations, using intuitive analogies, and...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Virginia Department of Education
Solving Equations
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to whiteboards...
Illustrative Mathematics
Delivery Trucks
Algebra learners are to make sense of two different-sized sand trucks and the number of trips each truck makes. The resource lists four different expressions based on the size of each truck and the number of deliveries the trucks make....
Project Maths
Introduction to Quadratics
Develop conceptual knowledge of a quadratic equation and its solutions in your classes. The third algebra lesson in a series of four introduces learners to solving quadratic equations slowly. The first activity explores the zero product...
EngageNY
Justifying the Geometric Effect of Complex Multiplication
The 14th activity in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the...
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
Radford University
Green Cravings
Build up a bag of green. Pupils determine the number of green Skittles in a snack bag and come up with a way to determine how many snack bags it would take to create one bag of only green Skittles. Classmates share their methods and...
Mathematics Vision Project
Module 4: Linear and Exponential Functions
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 to bring...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
EngageNY
Mid-Module Assessment Task - Precalculus (module 1)
Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is the...
CK-12 Foundation
Use Square Roots to Solve Quadratic Equations: Plus or Minus
Get two answers from a single equation. Pupils use the interactive to take the square root of nine and see the graphical representation of the two solutions. Individuals realize that solutions to quadratic equations that are solved by...