Curated OER
Interpreting Algebraic Expressions
Interpreting algebraic expressions is a fundamental skill in beginning algebra. This instructional activity approaches the task in numerous ways. First, learners assess their understanding with a short worksheet on converting between...
Curated OER
Beginning Algebra
Sixth graders add algebraic expressions in this beginning lesson. They will solve problems with one common unknown. Then add and multiply as necessary to complete the problems. Basic problems are provided.
EngageNY
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
EngageNY
Algebraic Expressions—The Distributive Property
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive...
EngageNY
The Power of Algebra—Finding Pythagorean Triples
The Pythagorean Theorem makes an appearance yet again in this instructional activity on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
EngageNY
Which Real Number Functions Define a Linear Transformation?
Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples...
Organization for Educational Technology & Curriculum
Introduction to Variables and Algebraic Expressions
Begin your next algebra unit with this introductory lesson on variables and algebraic expressions. This plan requires a SMART board and includes a SMART notebook file. The file contains a guiding question and two learning activities that...
Curated OER
Beginning Algebra Lesson
Students discuss how to add simple Algebra problems such as: 2x + 2x = 4x or 3x + 3x + 6x = 12x or 3(2x + 4x) = 3(6x) = 18x. They then examine how to do these problems by writing down examples on the board before Students do their...
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...
Curated OER
Algebra...Your Second Language
Help learners translate word problems into algebraic equations. They will rewrite words using symbols and evaluate algebraic expressions using real life scenarios, animation sequences, video presentations, and activities to help young...
Curated OER
Algebra Tic-Tac-Times
Use the strategy of working backwards to practice factoring polynomials and multiplying binomials in a game format. Play, and work to find which products combined with the available factors will result in the placement of four tokens in...
Curated OER
Real Life Algebra
Students investigate where in their everyday life math is used. In this algebra lesson, students describe linear transformation as it relates to business and sales. They relate area and perimeter to their yard or garden, as well as...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Curated OER
Solving Algebraic Equations: Algebra/Geometry Institute
Learners solve problems using PEMDAS. In this algebraic equations lesson, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
EngageNY
Writing and Solving Linear Equations
Incorporate geometry into the solving linear equations lesson plan. Pupils use their knowledge of geometry to write linear equations which reinforces geometry measurement concepts while at the same time providing a familiar context...
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...
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
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson plan for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
EngageNY
Radicals and Conjugates
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth instructional activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations....
EngageNY
Using the Identity and Inverse to Write Equivalent Expressions
The fifth installment in the series of 28 lessons helps math scholars explore the result of adding opposite numbers and multiplying reciprocals. Through this exploration, they develop a working definition of identity and inverse properties.
Kentucky Department of Education
Multiplication Grade 3 Formative Assessment Lesson
Guide multiplication lesson plan instruction with a formative assessment. Mathematicians are given two multiplication problems to solve and represent using the area model, equal groups, repeated addition, and word problems. Following the...