• Printer Friendly Version

Subject

Math, Science & Technology

Duration

Two 45-minute periods, or use as needed.

Learning Objectives

Students will be able to solve equations with whole numbers.

Materials

• Student may use the Hands on Equations Learning System if available to supplement. Hands-On Equations is a visual and kinesthetic teaching system for introducing algebraic concepts to students in grades 3 to 8. For more information, visit: http://www.borenson.com/
• SMART Board set-up

Solving equations 1.notebook

Step-by-Step Procedure

1. Students will be introduced to and guided through the manipulative set up rules of "Hands-on Equations" system in the first three pages of the attached SMART Notebook lesson.
2. The teacher will show an example of how to set up and solve an equation in the SMART Notebook slides 4-7.
3. Students will volunteer to come up to the SMART Board to set up and solve given equations.
4. Page 13 in the Solving Equations SMART Notebook may be used on as needed basis anytime students need the visual.
5. The teacher will offer assistance and guidance to students as needed in solving equations.
6. Page 13 may be used on as needed basis anytime students need the visual.
7. The teacher will offer assistance and guidance to students as needed

Description

In this lesson, students use virtual manipulatives to solve equations with whole numbers. This lesson could be used as an introduction to solving equations as well as review for students who may not have mastered the concept of solving equations the algebraic way.

Resource/Materials

Hands-on Equations

Assessment

Worksheet with equations that students can use. Also please find attached answer key.

Solving Equations Worksheet.doc

Solving Equations Worksheet answers.doc

Related Academic Standards

New York State

NY-5.NF.5b Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case). Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Relate the principle of fraction equivalence a/b = a/b x n/n to the effect of multiplying a/b by 1.

NY-6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor other than 1. Find the least common multiple of two whole numbers less than or equal to 12.

NY-6.EE.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. Understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

NY-6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q; x – p = q; px = q; and x/p = q for cases in which p, q, and x are all nonnegative rational numbers.

NY-7.NS.1b Understand addition of rational numbers; p + q is the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

View All