MAKING SENSE OF ALGEBRAIC

EXPRESSIONS

4 3 2 1 0

In addition to level 3.0 and above and

beyond what was taught in

class,  the student may:·         Make

connection with other concepts

in math·         Make

connection with other content

areas.

The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions on contextual situations.- justify the  sums and products of rational and irrational numbers-interpret expressions within the context of a problem

The student will be able to use properties of rational and irrational numbers to write and simplify  expressions based on contextual situations.-identify parts of an expression  as related to the context and to each part

With help from the

teacher, the student has

partial success with real number

expressions.

Even with help, the student has no success with real number

expressions.

Learning Goal 1 (HS.N-RN.B3 and HS.A-SSE.A.1):The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions based on contextual situations.

THE CANDY SHOP

• A candy shop sells a box of chocolates for $30.

• It has $29 worth of chocolates plus $1 for the box.

• The box includes two kinds of candy: caramels and truffles.

• Lisa knows how much the different types of candies cost per pound and how many pounds are in a box.

https://www.illustrativemathematics.org/illustrations/389

THE CANDY SHOP

• Lisa states:• “If x is the number of pounds of

caramels included in the box and y is the number of pounds of truffles in the box, then I can write the following equations based on what I know about one of these boxes:

• x + y = 3• 8x + 12y + 1 = 30

• Based off of her equations, how many pounds of candy are in the box?• 3 (x pounds of caramels and y pounds of

truffles)

x + y = 38x + 12y + 1 = 30

• What is the price per pound of the caramels?• $8 (8 is the coefficient of x)

• What does the term 12y in the second equation represent?• $12 per pound for truffles

• What does 8x + 12y + 1 in the second equation represent?• This represents the total value of the box of

chocolates: the value of caramels added to the value of the truffles added to the fixed cost of $1

SUPER SIZED SAND

• A company uses two different sized trucks to deliver sand.• The first truck can transport x cubic yards.• The second truck can transport y cubic yards.• The first truck makes A trips to a job site.• The second truck makes B trips to a job site.

SUPER SIZED SAND

• What do the following expressions represent in practical terms?• A + B• The number of trips both trucks make to the job site.

• x + y• The amount of sand, in cubic yards, both trucks can

transport together.

• xA + yB• xA means the amount of sand in the first truck times the

number of trips that truck makes.• yB means the amount of sand in the second truck times

the number of trips that truck makes.• When you put them together, it is the amount of sand

both trucks can deliver to the job site.