M 4 L 1 Writing Equations Using Symbols

M 4: L 1 Writing Equations Using Symbols Activating Prior Knowledge – Notes Write an equivalent word(s) for the word. 1. add 3. decrease 2. triple 4. prove Tie to LO Holt CA Course 2

M 4: L 1 Writing Equations Using Symbols Learning Objective Today, we will write equations using symbols. Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Concept Development – Pair Share A. The number 1, 157 is the sum of the squares of two consecutive odd integers divided by the difference between the two consecutive odd integers. How are these two related? Which representation do you prefer? Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Concept Development – Notes #1 & 2 1. Using letters to represent numbers in mathematical statements was introduced by Rene Descartes in the 1600 s. 2. Use of letters, or symbols, to represent numbers not only brought clarity to mathematical statements, it also expanded the horizons of mathematics. Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Concept Development – Notes #3 & 4 3. Using symbols saves time and labor. The number 1, 157 is the sum of the squares of two consecutive odd integers divided by the difference between the two consecutive odd integers. 4. Notice that x is just a number. This is a symbolic statement about numbers. Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Concept Development – Notes #5 & 6 5. Writing symbols is simpler than writing words, as long as everyone is clear about what the symbols mean. 6. When we write mathematical statements using letters, we say we are using symbolic language. Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Concept Development – Notes #5 - 7 7. An equation is a statement of equality between two expressions. 4+r Holt CA Course 2 Expressions 12 – 5 3 w ÷ 6 CFU

M 4: L 1 Writing Equations Using Symbols Concept Development Review – Word Phrases + • • – • difference of a number and 11 a number plus 5 sum of a number and 5 5 more than a number subtract 11 from a number Expression n+5 x – 11 • 11 less than a number • 3 multiplied by a number • product of 3 and a number • 7 divided into a number • quotient of a number and 7 Holt CA Course 2 3 m or 3 m a or a 7 7 CFU

M 4: L 1 Writing Equations Using Symbols Skill Development/Guided Practice – Notes #8 A whole number has the property that when half the number is added to 15, we get the number itself. Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Skill Development/Guided Practice – Notes #9 A whole number has the property that when the square of half the number is subtracted from five times the number, we get back the number itself. Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Skill Development/Guided Practice – Notes #10 Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Skill Development/Guided Practice – Notes #12 The sum of three consecutive integers is 372. What does consecutive mean? Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Skill Development/Guided Practice – Notes #13 The sum of three consecutive odd integers is 93. What does odd consecutive mean? Holt CA Course 2 CFU

M 4: L 1 Writing Equations Using Symbols Independent Practice – About 6 minutes and then we will review. CFU Holt CA Course 2

M 4: L 1 Writing Equations Using Symbols Independent Practice – Back of Notes 2. A number is four times larger than the square of half the number. CFU Holt CA Course 2

M 4: L 1 Writing Equations Using Symbols Independent Practice – Back of Notes CFU Holt CA Course 2

M 4: L 1 Writing Equations Using Symbols Independent Practice – Back of Notes 4. The sum of a number squared and three less than twice the number is 129. CFU Holt CA Course 2

M 4: L 1 Writing Equations Using Symbols Independent Practice – Back of Notes CFU Holt CA Course 2

M 4: L 1 Writing Equations Using Symbols Closure - Paper 1. What did we learn today? 2. Why is this important to you? 3. Why do we write mathematical statements using symbols? Write each of the following statements using symbolic language. 4. When you square five times a number you get three more than the number. 5. Monica had some cookies. She gave seven to her sister. Then, she divided the remainder in half, and she still had five cookies. Holt CA Course 2 CFU