Lesson 1: 2-1 Writing Equations
Duration of Days: 1
Lesson Objective
Translate sentences into equations.
Translate equations into sentences.
What symbol is used to represent an unknown quantity?
What key words ina problem identify placement of the equals sign?
What key words identify operations in any equation?
What does the variable in a real-world problem represent?
formula
A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
3A Functions
3B Functions
3C Functions
Variables can be used to represent an unknown amount when writing equations from a verbal sentence. The ability to write an equation from a verbal sentence is needed to solve word problems. When a verbal sentence can be translated into an equation that states a rule for the relationship between certain quantities, the equation is called a formula. It can be used to solve problems about those quantities.
A jelly bean manufacturer produces 1,250,000 jelly beans per hour. How many hours does it take to produce 10,000,000 jelly beans?
Translate the sentence into a formula. The perimeter of a square equals four times the length of a side.
Translating Tell students that when translating between sentences and equations, there is usually more than one way to write the result. The equation in Example 2 could also be written as 261,000 ÷ d = 87,000.
Sense-Making Remind students that there is often more than one way to translate an equation into a verbal sentence. For example y2 + 3x = w could be translated as, "y squared plus 3 times x equals w.“
If some students are having trouble translating sentences into equations, then pair those students with students who are able to translate sentences into equations easily. Have the pairs work through several problems in Check Your Understanding.
Extension: A pair of even numbers that are in order and differ by 2, such as 4 and 6, are called consecutive even numbers.
a. Write an equation for three consecutive even numbers with a sum of 60 if x is the least of the three numbers.
b. x is the least of the three numbers.
Exercise 1 - 20
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