EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation...
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
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...
EngageNY
The Geometric Effect of Some Complex Arithmetic 2
The 10th instructional activity in a series of 32, continues with the geometry of arithmetic of complex numbers focusing on multiplication. Class members find the effects of multiplying a complex number by a real number, an imaginary...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix multiplication...
Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Curated OER
"If You Hopped Like a Frog" by David M. Schwartz
Young scholars brainstorm several animal/personal scenarios, select one, and write out an explanation of the comparison. They apply the measurements/characteristics to themselves and use algebraic equations to demonstrate the comparison.
Curated OER
"How Many Snails?" by Robert Wells
Middle schoolers represent algebraic patterns in various ways.
Curated OER
Equations in the Park
Students explore algebraic concepts using real life situations. In this equations lesson, students develop strategies to solve missing number problems. Students participate in a board game based on algebraic equations.
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
NASA
Supernova Chemistry
By measuring the wavelength, frequency, and intensity of electromagnetic radiation, scientists determine the temperature, density, and composition of far away items. Scholars rotate through ten lab stations using a spectroscope at each...
EngageNY
Proof of the Pythagorean Theorem
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
Curated OER
The Yo-Yo Problem: Solving Linear Equations
Students compute the length of time it will take to save enough money to purchase a yo-yo. In this math lesson, students create a design with pennies and write the associated linear equation. In this linear equations lesson, students use...
Curated OER
Math Training Module: Using the Internet in Support of GED Math Instruction, Session One: Overview
Students brainstorm about math they do every day, and explore relevant web sites to find definitions of "numeracy." They then explain relevance of the definitions of numeracy to their own instructional practices.
Curated OER
Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
Curated OER
Skate Party
Learners use the Frayer model during problem solving. In this problem solving activity, they examine multiple methods of data collection to solve real world problems. Resources are provided.
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
Curated OER
Scatter-Brained
Seventh graders graph ordered pairs on a coordinate plane. They create a scatterplot. Additionally, they determine the line of best fit and investigate the slope of the line. Multiple resources are provided. An excellent resource!
Curated OER
Is Bigger Always Better?
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
Curated OER
It's All in the Measurements
Study customary measurements with your sixth graders. They will investigate linear and capacity measurements to then measure and convert linear and capacity units. Finally they will work in small groups to conduct experiments. Resources...
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