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EngageNY
Writing and Expanding Multiplication Expressions
Find out what's so standard about standard form. Scholars learn to write multiplication expressions with variables in the 10th lesson in a series of 36. They use different symbols for multiplication and translate between standard and...
EngageNY
From Equations to Inequalities
Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...
Illustrative Mathematics
Kitchen Floor Tiles
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Curated OER
Increasing or Decreasing? Variation 2
Your algebra learners will manipulate an expression's form in order to make obvious the value of it increasing, decreasing, or staying the same, when one variable is changed as the others stay constant. Your future physicists'...
EngageNY
Criterion for Perpendicularity
The Pythagorean Theorem is a geometry pupil's best friend! Learners explain the equation a1b1 + a2b2 = 0 for perpendicular segments using the Pythagorean Theorem. They are able to identify perpendicular segments using their...
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
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...
Curated OER
Linear and Quadratic Model, Data Modeling
Students model quadratic and linear equations. In this algebra lesson, students solve word problems using equations. They create scatter plots and make predictions using correlations.
Curated OER
Cutting Expenses
Young scholars explore budgeting. In this finance and math lesson, students brainstorm ways in which households could save money. Young scholars view websites that give cost reducing ideas. Students complete an expense comparison chart...
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
EngageNY
Linear Models
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
EngageNY
True and False Number Sentences
True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th activity in a module of 36.
Curated OER
Maximizing and Minimizing the Area of Rectangles Given a Fixed Perimeter
Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This lesson can be extended for algebra,...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson in the series. Pupils explore linear equations and describe the points of intersection with a given polygon as...
EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
Curated OER
Stars and Slopes
More of a math lesson than physics or space science, high schoolers take a set of data and plot it on a log-log coordinate system. The write-up for day two was never completed, but day one, "Stars and Slopes," is complex and cohesive....
Curated OER
Susita's Account
Your algebra students double their money monthly in this task based on a checking account balance. Learners write an equation to model the situation and then use their model to answer contextual questions.
Bowland
AstroZoo
Rescue animals in the zoo by applying math concepts. Groups of learners solve three missions involving oxygen, food, and climate control. Each group selects an animal from one of four bio-domes.
Project Maths
Introduction to Equations
Do your pupils truly understand inverse operations, or is their understanding a little backward? Scholars learn the meaning of an equation in the second lesson of a four-part Algebra series. A series of activities begins with an...
Curated OER
Introduction to the National Debt
Students relate the national debt to the economy. In this algebra lesson, students discuss what the national debt is, create a national budget based on priority and what the government should spend money on. They analyze their findings...