options: Understand solving equations as a process of reasoning and explain the reasoning.

Write expressions in equivalent forms to solve problems.

Rewrite rational expressions.

Understand the connections between proportional relationships, lines, and linear equations.

Solve systems of equations.

Understand properties of multiplication and the relationship between multiplication and division.

Understand the relationship between zeros and factors of polynomials.

Gain familiarity with factors and multiples.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Understand and apply properties of operations and the relationship between addition and subtraction.

Write and interpret numerical expressions.

Use the four operations with whole numbers to solve problems.

Perform arithmetic operations on polynomials.

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Generate and analyze patterns.

Work with equal groups of objects to gain foundations for multiplication.

Work with radicals and integer exponents.

Solve equations and inequalities in one variable.

Create equations that describe numbers or relationships

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

Work with addition and subtraction equations.

Use polynomial identities to solve problems.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Interpret the structure of expressions.

Represent and solve problems involving multiplication and division.

Use properties of operations to generate equivalent expressions.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Add and subtract within 20.
problem_activity: Task
Your teacher was just awarded \$1,000 to spend on materials for your classroom.  She asked all 20 of her students in the class to help her decide how to spend the money.  Think about which supplies will benefit the class the most.
|                                                    Supplies                                                    | Cost  |
|----------------------------------------------------------------------------------------------------------------|-------|
|                                              A box of 20 markers                                               |  \$5  |
|                                              A box of 100 crayons                                              |  \$8  |
|                                              A box of 60 pencils                                               |  \$5  |
|                                     A box of 5,000 pieces of printer paper                                     | \$40  |
|                                      A package of 10 pads of lined paper                                       | \$15  |
|                                    A box of 50 pieces of construction paper                                    | \$32  |
|                                                 Books and maps                                                 |       |
|                                        A set of 20 books about science                                         | \$250 |
|                                       A set of books about the 50 states                                       | \$400 |
|                                   A story book (there are 80 to choose from)                                   |  \$8  |
| A map: there is one of your city, one for every state, one of the country, and one of the world to choose from | \$45  |
|                                               Puzzles and games                                                |       |
|                                     Puzzles (there are 30 to choose from)                                      | \$12  |
|                                   Board games (there are 40 to choose from)                                    | \$15  |
|                                 Interactive computer games (math and reading)                                  | \$75  |
|                                                 Special Items                                                  |       |
|                                    A bean bag chair for the reading corner                                     | \$350 |
Write down the different items and how many of each you would choose. Find the total for each category.
Supplies
Books and maps
Puzzles and games
Special items
Create a bar graph to represent how you would spend the money.  Scale the vertical axis by \$100.  Write all of the labels.
What was the total cost of all your choices?  Did you have any money left over?  If so, how much?
Compare your choices with a partner. How much more or less did you choose to spend on each category than your partner? How much more or less did you choose to spend in total than your partner?


correct_option_index: 30