Translate Expressions and Equations High School Common Core Algebra - Creating Equations Create equations that describe numbers or relationships This was the best common core fit I could find. This objective is a stepping-stone to creating equations from word problems. Mrs Math  Means there is a note to read at the bottom of the slide.

Translate Expressions and Equations Name Date Subject Period

Add Subtract Multiply Divide the sum of x and 3 the difference of x and 3 the product of 3 and x the quotient of x and 3 x + 3 x – 3 3x Twice x a number plus 4 2 more than x 2 less than x x + 2 x – 2 2x n + 4 y increased by 7 y decreased by 7 7 times y y is 7 y = 7 y + 7 y – 7 7y n plus 6 n minus 6 One-half of n n squared n + 6 n – 6 ½n n2

 Notes for the back 2 subtracted from x  x – 2 Double x  2x If the you are multiplying the entire sum or difference by a number you must put ( )’s around the expression  4(x + 3) or 4(x – 3) 2 subtracted from x  x – 2 Double x  2x I love the grid format but found more information needs to be added. So I included these icons on the front of the grid and students can write what they mean on the back of the grid handout. X cubed  x3

 Guided Practice The difference of a x and 8. x – 8 These guided practice problems are just to get students to LOOK at and USE the keyword grid they just made. More difficult problems will be in the examples and then practiced.

Guided Practice Twice n. 2n

Guided Practice Six more than a. a + 6

Guided Practice X decreased by seven. x – 7

Guided Practice One-fourth of b. ¼b

Guided Practice The sum of three and n. 3 + n

Guided Practice The product of five and x. 5x

Guided Practice One less than n. n – 1

Guided Practice The quotient of x and 9. x 9

The difference of a number squared and three is twelve. – 3 = 12 Ex1: Translate Explain  Highlight and translate keywords 2 n The difference of a number squared and three is twelve. – 3 = 12 Write mathematically n2 – 3 = 12

 Ex2: Translate Explain 6 – 2  n = 1  Highlight and translate keywords 6 – 2  n = 1 Six less than twice a number is one. Write mathematically 6 – 2  n = 1  2n – 6 = 1 Yes, they will need a lot of practice remember when to reverse it. It’s the same with subtracted from. If they forget with “more than” it’s not a big deal because addition is communative. I however, stress that students practice it with adding and subtracting to get more practice. Reverse for less than

 Ex3: Translate Explain n + 10 ½   Highlight and translate keywords n + 10 ½  Half of the sum of a number and ten. Write mathematically ½  n + 10  ½(n + 10) Put ( )’s around the sum Students will not remember the parenthesis. Make sure you do a couple of these type of problems for practice. Also, make sure students know a sum and difference doesn’t always require ( )’s. For instance, “ the sum of half a number and one” would not require parenthesis.

Guided Practice Translate 3 n = 12 + Three increased by a number is twelve. 3 + n = 12

Guided Practice Translate 10 – n = 11 Ten less than a number is eleven. 10 – n = 11  n – 10 = 11

Guided Practice Translate + n 4 = 9 The sum of a number and four is nine. n + 4 = 9

Guided Practice Translate 4  n 2 = 7 Four times a number squared is seven. 4  n2 = 7  4n2 = 7

Guided Practice Translate 9  n – 5 = 10 Nine times a number decreased by five is ten. 9  n – 5 = 10  9n – 5 = 10

Guided Practice Translate ½  n – 9 = 12 Half of a number decreased by nine is twelve. ½  n – 9 = 12  ½n – 9 = 12

Guided Practice Translate 4  n ÷ 5 = 6 The quotient of four times a number and five is six. 4n ÷ 5 = 6 or 4n 5 = 6

Guided Practice Translate 8 + 4  n = 6 Eight more than four times a number is six. 8 + 4  n = 6  4n + 8 = 6

Guided Practice Translate n – 2 = 1 5  Five times the difference of a number and two is one. 5  n – 2 = 1  5(n – 2) = 1

Guided Practice Translate n 3 + 6 = 8 A number cubed increased by six is eight. n3 + 6 = 8

 Guided Practice Translate n + 1 = 10 7  The sum of a seven times a number and one is ten. 7 n + 1 = 10  7n + 1 = 10 Do not need parenthesis since you are not multiplying the expression but just mulitplying a term in the expression.

Guided Practice Translate 4 – 6  n = 1 Four decreased by six times a number is one. 4 – 6  n = 1  4 – 6n = 1

Guided Practice Translate 8 – n 3 = 5 Eight subtracted from a number cubed is five. 8 – n3 = 5  n3 – 8 = 5

Guided Practice Translate n + 3 = 9 2  Twice the sum of a number and three is nine. 2  n + 3 = 9  2(n + 3) = 9

 Guided Practice Translate 2  n – 6 = 9 The difference of double a number and six is nine. 2  n – 6 = 9  2n – 6 = 9 Do not need parenthesis since you are not multiplying the expression but just mulitplying a term in the expression.

Tips for the lesson Have students record examples in their notes. They should do guided practice on scratch paper or on whiteboards. If you want to grade guided practice as part of their classwork grade have them staple it and hand it in with their classwork or homework. Use guided practice time to call on students and assess the class. Print out the keyword grid for students to fill out and it’s up to you if you want to copy the back or have students write it all themselves. There are A LOT of guided practice so modify, delete, or change the order. If you want to give students a hard copy of the guided practice problems and a couple highlighters that will be great to help them translate. However, if you give them a sheet of the guided practice problems make sure you write it with missing information such as “The sum of a seven times a number and one is ten.” becomes “The ____ of seven times a number and ____ is ten. This will keep students from rushing ahead and not checking their work with you.

Add Subtract Multiply Divide FRONT

Notes for the back 2 subtracted from x  _________ Double x  ______ If the you are multiplying the entire sum or difference by a number you must put ( )’s around the expression  4(x + 3) or 4(x – 3) 2 subtracted from x  _________ Double x  ______ BACK – Optional for printing X cubed  ________