This lesson will teach 2 methods of finding the least common multiple. Students will then complete activities using both methods to figure out which method they prefer.

A patient discusses diabetes and how he manages his carbohydrate intake in this video segment from TV 411.

The resource is a lesson guide that teaches the basic mathematical concepts needed for teaching economics and financial economics. Topics include matrix transposition, matrix inversion, and operations with matrices. Applications of Excel can be used as a tool for teaching this topic.

Lists the laws of exponents on the left side of the page with corresponding examples on the right.

Algebraic Reasoning

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Add, subtract, multiply, and divide rational numbers.
Evaluate expressions for a value of a variable.
Use the distributive property to generate equivalent expressions including combining like terms.
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?
Write and solve equations of the form x+p=q and px=q for cases in which p, q, and x are non-negative rational numbers.
Understand and graph solutions to inequalities x<c or x>c.
Use equations, tables, and graphs to represent the relationship between two variables.
Relate fractions, decimals, and percents.
Solve percent problems included those involving percent of increase or percent of decrease.

Lesson Flow

This unit covers all of the Common Core State Standards for Expressions and Equations in Grade 7. Students extend what they learned in Grade 6 about evaluating expressions and using properties to write equivalent expressions. They write, evaluate, and simplify expressions that now contain both positive and negative rational numbers. They write algebraic expressions for problem situations and discuss how different equivalent expressions can be used to represent different ways of solving the same problem. They make connections between various forms of rational numbers. Students apply what they learned in Grade 6 about solving equations such as x+2=6 or 3x=12 to solving equations such as 3x+6=12 and 3(x−2)=12. Students solve these equations using formal algebraic methods. The numbers in these equations can now be rational numbers. They use estimation and mental math to estimate solutions. They learn how solving linear inequalities differs from solving linear equations and then they solve and graph linear inequalities such as −3x+4<12. Students use inequalities to solve real-world problems, solving the problem first by arithmetic and then by writing and solving an inequality. They see that the solution of the algebraic inequality may differ from the solution to the problem.

Students explore the effects of wind on a plane's time and distance and represent these situations using algebraic expressions and equations. They use terms with positive, negative, and zero coefficients.Key ConceptsIn this lesson, students show what they remember from Grade 6 about writing expressions and solving one-step equations. They use what they learned earlier in Grade 7 about adding and subtracting integers. They extend these concepts to write and interpret an expression with a negative coefficient.Goals and Learning ObjectivesReview addition and subtraction of integers.Review the relationship between distance, time, and speed.Write an algebraic expression for distance in terms of time, t.Write a term with a negative coefficient.Review solving a one-step equation using the multiplication property of equality.

This multimedia Learn Alberta math resource looks at area and perimeter and how math is involved in the operations of a ranch. The accompanying interactive component lets students investigate a variety of rectangles to get a target perimeter and area. Be sure to follow the link to the printable activity included to reinforce target skills.

Investigate how a variety of shapes can be used to form composite figures using this interactive Learn Alberta math resource. Students will also work on using relevant operations and formulas to figure out the total area of composite figures. Be sure to follow the link to the printable activities, solutions, and learning strategies that are included to reinforce target skills.

This site has a good definition and examples of determinants, the site begins by explaining what the value of a determinant is, then gives an example of the determinant of a two by two matrix, a generic formula for finding the determinant of any square matrix, gives properties of determinants, determinants for special matrices and much more. This site contains many links to help with any unfamiliar terminology.

Math variety of concepts, this colorful website is sure to give your students the chance show what they know. Concepts covered include rounding, division with decimals, order of operations, ratio, percent, multiplication, and division of fractions, simplifying fractions, and more. Not an interactive site, but great practice activities.

In this activity, students learn to create and edit a matrix using the matrix editor. They use various features in the calculator to perform elementary row operations and convert a matrix to its reduced row echelon form. Finally they verify important results and solve a variety of problems in matrix theory and linear algebra.

This lesson explains how to add and subtract matrices when it is possible to do so, noting matrix addition is commutative and associative. [2:59]

Which operation should I use to solve this problem? How can I use bars to model what is going on? What are scholarships and how do I earn them? Students apply their knowledge of decimal operations to answer these questions.

Download these worksheets to sharpen your operations skills. Sheets focus on addition, subtraction, multiplication, division, mixed operations, input/output tables, the order of operations, and operations in other base number systems.

This video illustrates a word problem involving the multiplication of fractions using an array to model the solution visually. The problem involves puffins, arctic birds that live in colonies and fish to feed their young.

In this interactive activity adapted for grades 3–5 from Annenberg Learner’s Teaching Math Grades 6–8, use virtual Cuisenaire® Rods to represent fractions and to perform operations with fractions.