Teaching Algebra with Manipulatives
Teaching Algebra with Manipulatives
Teaching Algebra with Manipulatives
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Chapter 3 <strong>Teaching</strong> Notes and Overview<br />
Using Overhead<br />
<strong>Manipulatives</strong><br />
Solving Equations by Using<br />
Multiplication and Division<br />
(pp. 66–67 of this booklet)<br />
Use With Lesson 3-3.<br />
Objective Use models to solve equations<br />
involving multiplication and division.<br />
Materials<br />
overhead counters*<br />
equation models transparency*<br />
equation mat transparency*<br />
two-dimensional cups*<br />
transparency pen*<br />
blank transparency<br />
* available in Overhead Manipulative Resources<br />
This demonstration contains two activities.<br />
Both demonstrations use an equation models<br />
transparency, equation mat transparency,<br />
overhead counters and two-dimensional cups for<br />
modeling tools.<br />
• Demonstration 1 involves solving equations<br />
by using division. The modeling focuses on x<br />
meaning the opposite of x, dividing each side<br />
of the equation by the same value, and<br />
isolating the variable <strong>with</strong> a coefficient of<br />
positive 1 on one side of the equation. Check<br />
the solution to the equation.<br />
• Demonstration 2 involves solving equations<br />
by using multiplication. The modeling focuses<br />
on the Multiplication Property of Equality,<br />
and isolating the variable <strong>with</strong> a coefficient of<br />
positive 1 on one side of the equation. Check<br />
the solution to the equation.<br />
• In the Extension, students are asked how<br />
to represent and solve two equations.<br />
Emphasize the importance of writing clearly<br />
and concisely in mathematics. Have the<br />
groups share and discuss their writings.<br />
Answers<br />
Answers appear on the teacher demonstration<br />
instructions on pages 66–67.<br />
<strong>Algebra</strong> Activity<br />
Recording Sheet<br />
Solving Multi-Step Equations<br />
(p. 68 of this booklet)<br />
Use With Lesson 3-4 as a preview activity. This<br />
corresponds to the activity on page 141 in the<br />
Student Edition.<br />
Objective Model solving equations involving<br />
multiple-steps.<br />
Materials<br />
equation mats*<br />
algebra tiles*<br />
* available in Overhead Manipulative Resources<br />
This activity involves using equation mats and<br />
algebra tiles to model solving multi-step<br />
equations. Have students model and solve the<br />
example 3x 5 7. Once again stress the<br />
importance of isolating the variable <strong>with</strong> a<br />
coefficient of positive 1 on one side of the<br />
equation. Have students work in groups of two<br />
or three to complete the exercises on the<br />
worksheet. Ask them to check their answers.<br />
Allow time to review the answers to Exercises<br />
1–8 and discuss the answers to Exercises 9–10.<br />
Answers<br />
See Teacher Wraparound Edition p. 141.<br />
Using Overhead<br />
<strong>Manipulatives</strong><br />
Solving Equations Using More Than<br />
One Operation<br />
(pp. 69–70 of this booklet)<br />
Use With Lesson 3-4.<br />
Objective Model and solve equations involving<br />
more than one operation.<br />
Materials<br />
overhead counters*, equation mat<br />
transparency*, two-dimensional cups*,<br />
transparency pen*, blank transparency<br />
* available in Overhead Manipulative Resources<br />
© Glencoe/McGraw-Hill 52 <strong>Teaching</strong> <strong>Algebra</strong> <strong>with</strong> <strong>Manipulatives</strong>
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