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Mathematical translations
This lesson develops knowledge of algebraic expressions and their verbal equivalents. Students will establish a foundation for future Algebra I tasks by identifying mathematical symbols and expressions through group work and individual tasks. This lesson contains modifications for the novice high English Language Learner (ELL).
Format: lesson plan (grade 7–12 English Language Development and Mathematics)
By Seth Beale and Wendy Sumner.
Career skill: Writing expressions and equations
In CareerStart lessons: Grade seven, page 2.9
In this lesson for grade seven, students will translate between natural language sentences and mathematical equations. Students will discuss how this skill may be useful in various careers.
Format: lesson plan (grade 7 Mathematics)
By Peggy Dickey and Barbara Turner.Adapted by Sharon Abell.
Please excuse my dear Aunt Sally
Students will learn and practice the correct order of operations. The lesson will begin with a motivational group-art activity. Students will then take notes and do a "pass the paper" activity for practice. This will be followed by students creating their own problems.
Format: lesson plan (grade 6 Mathematics)
By Shirley Powell.

Resources on the web

Balancing algebraic understanding
In this lesson, one of a multi-part unit from Illuminations, students use an interactive pan balance to practice the order of operations in simplifying numerical expressions and to demonstrate the conventions of using algebraic logic in simplifying expressions. (Learn more)
Format: lesson plan (grade 6 Mathematics)
Provided by: National Council of Teachers of Mathematics
Everything balances out in the end
In this unit of three lessons, from Illuminations, students use a pan balance to study equality, order of operations, numerical and variable expressions and other key algebraic concepts. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Algebra in balance
In this lesson, one of a multi-part unit from Illuminations, students use an interactive pan balance tool to explore algebraic expressions. They determine if algebraic expressions are equal and balance pans to solve a system of equations. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Bagel algebra
In this Illuminations lesson, a real life example taken from a bagel shop is used to get students to think about solving a problem symbolically. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Pick's theorem as a system of equations
In this lesson, one of a multi-part unit from Illuminations, students gather three examples from a geoboard or other representation to generate a system of equations. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics