Solving Simple, Multi-Step Equations And Equations With Variables On Both Sides Worksheet Page 4
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402 2
ACTIVITY:
Writing a Rule
Work with a partner. Use inductive reasoning to write and test a rule.
a.
STRUCTURE
Use the completed table in Activity 1 to write a rule about
the sum of the angle measures of a triangle.
b.
TEST YOUR RULE
Draw four triangles that are different from those in
Activity 1. Measure the angles of each triangle. Organize your results
in a table. Find the sum of the angle measures of each triangle.
3 3
ACTIVITY:
Applying Your Rule
Work with a partner. Use the rule you wrote in Activity 2 to write an
Math
equation for each triangle. Then solve the equation to fi nd the value
Practice
of x. Use a protractor to check the reasonableness of your answer.
Analyze
a.
b.
Conjectures
Do your results
52
support the rule
27
you wrote in
Activity 2? Explain.
43
x
x
82
c.
d.
33.4
x
62.5
77
51.3
x
4.
IN YOUR OWN WORDS
How can you use inductive reasoning to discover
rules in mathematics? How can you test a rule? How can you use a rule
to solve problems in mathematics?
Use what you learned about solving simple equations to complete
Exercises 4 – 6 on page 7.
Section 1.1
Solving Simple Equations
3
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