Lesson Plan
Illustrative Mathematics

Peaches and Plums

For Teachers 7th - 9th Standards
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps learners become intuitive about graphing. 
Lesson Plan
Illustrative Mathematics

Ice Cream

For Teachers 9th - 12th Standards
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to...
Lesson Plan
Curated OER

Course of Antibiotics

For Teachers 9th - 12th Standards
This model of the amount of anibiotics in a person's system is represented abstractly by a finite geometric series. Learners translate this real-life situation into algebraic form and then extend their knowlege by answering questions...
Lesson Plan
Curated OER

Parabolas and Inverse Functions

For Teachers 9th - 12th Standards
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third instructional activity in the series. Pupils explore linear equations and describe the points of intersection with a...
Lesson Plan
EngageNY

Complex Numbers as Vectors

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

Linear Transformations as Matrices

For Teachers 11th - 12th Standards
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...
Lesson Plan
Project Maths

Introduction to Patterns

For Teachers 6th - 8th Standards
The world is full of patterns. Help learners quantify those patterns with mathematical representations. The first Algebra lesson in a compilation of four uses a series of activities to build the concept of patterns using multiple...
Lesson Plan
Curated OER

Review for the Algebra One SOLs

For Teachers 8th - 9th
Learners review the standards for Algebra I. Using the text, they discover two problems that match each standard and solve them showing all steps on paper. They create a PowerPoint slide for each problem and go through the correct...
Lesson Plan
Pennsylvania Department of Education

Expressions Involving Variables

For Teachers 6th
Sixth graders practice translating verbal expressions into algebraic expressions. In this introductory algebra instructional activity, 6th graders practice writing written/verbal sentences into algebraic expressions and vice versa....
Lesson Plan
Pennsylvania Department of Education

Using Expressions and Equations

For Teachers 6th
Sixth graders analyze expressions and equations. In this algebra instructional activity, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This instructional activity uses the formulas for the...
Lesson Plan
Curated OER

Three Squirrels and a Pile of Nuts

For Teachers 6th - 8th
Middle schoolers solve word problems using a spreadsheet, strategies, and algebraic variables. They disuss the given problem, which can be printed, write the unknowns, and employ the strategies into a spreadsheet. Students then use...
Lesson Plan
Curated OER

Multiple Intelligences Holistic Plan

For Teachers 9th
Ninth graders apply basic algebra concepts to equations using cognitive, affective, and kinesthetic components. They create their own word problem, perform the story problem using a dramatic presentation, and present the problem to the...
Lesson Plan
Curated OER

Triangle Sums

For Teachers 4th
Fourth graders determine a way to place numbers in the nine circles that are arranged in a triangular pattern so that each side has an equal sum. They use each number once and practice adding single digit numbers.
Lesson Plan
Curated OER

Double This

For Teachers 5th - 6th
Young scholars change verbal expressions to algebraic equations. They practice the vocabulary of algebraic equations.
Lesson Plan
Curated OER

"BATS on Parade" by Kathi Appelt

For Teachers 6th - 8th
Middle schoolers visualize polynomials using algebra tiles.
Lesson Plan
Curated OER

Seesaw Balances

For Teachers 6th - 12th
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...
Lesson Plan
Curated OER

Caterpillar Connections

For Teachers 3rd
Third graders investigate numerical and geometric patterns and express them in words or numbers.  In this algebraic reasoning activity, 3rd graders analyze the structure of the pattern and how it changes or grows, organize...
Lesson Plan
Curated OER

What's My Function?

For Teachers 5th
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
Lesson Plan
Curated OER

A Perpendicular Pilgrimage

For Teachers 9th
Ninth graders design a safe passage through a 2-D obstacle. In this geometric math lesson, 9th graders engage in a hands on activity to better understand the concept of geometric and algebraic perpendicularity. Students will work in...
Lesson Plan
Curated OER

"Comprehension of Word Problems" Using a Table

For Teachers 6th
Sixth graders practice solving math problems by utilizing a data table. In this number sense lesson, 6th graders create a table using the numerical information about a fictitious farm's inventory. Students complete the empty segments by...
Lesson Plan
Curated OER

"If You Hopped Like a Frog" by David M. Schwartz

For Teachers 4th - 6th
Students search for and generalize an algebraic pattern. They make and analyze a coordinate graph.
Lesson Plan
Curated OER

"Bats on Parade" by Kathy Appelt

For Teachers 6th - 8th
Students examine numbers and try to find a pattern in their relationship. They write an algebraic expression for the nth term.
Lesson Plan
Curated OER

How Old Did You Say?

For Teachers 2nd
Second graders explore and develop algebraic formulas based on their own ages as the known variable. This is a clever, and simple, way to introduce the concept of algebra to young students.

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