1. Lesson 1.3 Variables and Expressions (Glencoe book)
Rational Numbers and Exponents
Lesson 1.3 Variables and Expressions (Glencoe book)
How can you use numbers and symbols
to represent mathematical ideas?
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2. Translate verbal phrases into algebraic expressions
Rational Numbers and Exponents
Translate verbal phrases into algebraic expressions
Evaluate expressions containing variables
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3. Algebra – a branch of mathematics that uses symbols
Rational Numbers and Exponents
Algebra – a branch of mathematics that uses symbols
Variable – a letter or symbol used to represent an unknown value.
Algebraic expression – a mathematical expression that contains at least one variable and at least one mathematical operation
Examples:
Defining a variable – to choose a variable to represent the unknown value
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4. Rational Numbers and Exponents
Defining a Variable
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5. Translate each verbal phrase into an algebraic expression.
Rational Numbers and Exponents
Translate each verbal phrase into an algebraic expression.
Example 1 three dollars more than the cost of a sandwich
Define the variable _____________________________________
Translate into an algebraic expression ___________________________
Example 2 twice the cost of a child
Define the variable ___________________________________
Translate into an algebraic expression ______________________________
Example 3 the difference of six times a number and 10
Define the variable ______________________________________
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6. Substitution Property of Equality
Rational Numbers and Exponents
Substitution Property of Equality
Words If two quantities are equal, then one quantity can be
replaced by the other.
Symbols For all numbers a and b, if a = b, then a may be replaced
by b.
Example 4 Evaluate d + 5 ‒ f if d = 16 and f = 18.
Example 5 Evaluate x‒ y + 6 if x = 27 and y = 12.
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7. How did what you learned today help you answer the
Rational Numbers and Exponents
How did what you learned
today help you answer the
How can you use numbers and symbols to represent mathematical ideas?
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8. Rational Numbers and Exponents
Ratios and Proportional Relationships
Write about how the previous lesson on the order of operations and translating verbal phrases into numerical expressions helped you with translating and evaluating algebraic expressions.
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9. Mathematical Practices
Rational Numbers and Exponents
7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
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