Translating Between Words and Expressions Unit 2.3 Day One Pages 58-61

1. 7, 10, 13,__,__, __ = , 88, 71,__, __, __= 3. 64, 128, 256, ___, ___= 16, 19, 22 54, 37, , 1,024 Warm Up Problems Find the missing terms in the sequence.

Tables and Expressions. Objective: Students will learn to write algebraic expressions for tables and sequences. We will find the relationships between the different positions, then change that information into a math expression.

Writing an expression is a lot like cracking the code to send a message, Once you have the code you can have complete knowledge of the message. Once the expressions in the table are filled in, you can find the outcome!

What is the relationship between the different patterns? Starting with geometric patterns can help you begin writing algebraic expressions. Figure One has 2 segments. Figure Two has 4 segments. Figure Three has 6 segments.

Draw the solution for figures 4 and 5. Figure One 2 segments. Figure Two 4 segments. Figure Three 6 segments. Figure Four Figure Five Figure Number x 2 Figure number x 2 1x22x23x24x25x2 Figure Number12345 Segments This is how the problem we solved looks when it is in table form.

We look for patterns, guess what might work, and then check ALL the positions. Coleman’s Age Tess’s Age 2 = 5 3 = 6 4 = 7 5 = 8 6 = 9 c Tess’s age is Coleman’s age + 3 (c+3)

Write and expression for the missing value in the table. EggsDozens 12 = 1 24 = 2 36 = 3 48 = 4 e When there are “e” eggs it will be divided by 12 e/12

Look for a relationship between the positions and their values. Once one is found check if the expression works for all the terms in the table, not just one or two terms. Translate into an algebraic expression first by assigning a variable for the position. Now you can place any position number into the expression to find a solution. How to set it up

Write an algebraic expression for the missing value in the table. Position Value 2 = 6 3 = 7 4 = 8 5 = 9 6 = 10 f f + 4 You Try!

Sometimes we will need to use more than operation. Position Value 1 = 3 2 = 5 3 = 7 4 = 9 5 = 11 n First we guess, and then we check ALL the solutions! 2n + 1

Position Value 1 = 7 2 = 10 3 = 13 4 = 16 s 3s + 4 You Try! Write an algebraic expression for the missing value in the table.

Homework 2.3 page 60 = dues Tuesday  1-10

Translating Between Words and Math Unit 2.3 Day Two Pages 58-61

Find the relationship between the positions and the value. Position Value 1 = 6 2 = 8 3 = 10 4 = = First we guess, and then we check ALL the solutions! 2p + 4 Position 15 =34 Warm Up

Look for a relationship between the positions and their values. Once one is found check if the expression works for all the terms in the table, not just one or two terms. Translate into an algebraic expression first by assigning a variable for the position. Now you can place any position number into the expression to find a solution. Let’s Review

Write an expression for the sequence in each table. Position1234p Value n + 3

Write an expression for the sequence in each table. Position12345p Value p

Write an expression for the sequence in each table. Position3456p Value p What would the 15 th Position be? 15 x 4 = 60

We can use relationships between positions to find an area of a shape. A rectangle has a base position of 6. According to the table below, what is the AREA of the shape according to each changing height?Base66666Height57911h Area a Base x height = area 6 x h = a

We can use relationships between positions to find an area of a shape. A rectangle has a base position of 6. According to the table below, what is the AREA of the shape according to each changing height?Base55555Height471013h Area a Base x height = area 6 x h = a

We can use relationships between positions to find an area of a shape. A triangle has a base position of 8. According to the table below, what is the AREA of the shape according to each changing height?Base888bHeight123h Area4816a Base x height divided by 2 = area 6 x h / 2 = a

We can use relationships between positions to find an area of a shape. A triangle has a base position of 8. According to the table below, what is the AREA of the shape according to each changing height?Base234bHeight444h Area468a Base x height divided by 2 = area b x 4 / 2 = a

2.3 Homework page 60 due: end of class  Challenge Paper 2-3  Chapter Quiz.