options: Use properties of operations to generate equivalent expressions.

Gain familiarity with factors and multiples.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving addition and subtraction.

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

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

Reason about and solve one-variable equations and inequalities.

Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

Add and subtract within 20.

Solve systems of equations.

Write expressions in equivalent forms to solve problems.

Interpret the structure of expressions.

Work with addition and subtraction equations.

Use polynomial identities to solve problems.

Multiply and divide within 100.

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

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

Create equations that describe numbers or relationships

Rewrite rational expressions.

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

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

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

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

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

Generate and analyze patterns.

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

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

Understand the relationship between zeros and factors of polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Write and interpret numerical expressions.
problem_activity: Task
Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can only carry 1200 pounds of people and gear for safety reasons. Assume the average weight of a person is 150 pounds. Each group will require 200 lbs of gear for the boat plus 10 lbs of gear for each person.
Create an inequality describing the restrictions on the number of people possible in a rented boat. Graph the solution set.
Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5 people. Group 3 has 8 people. Which of the groups, if any, can safely rent a boat? What is the maximum number of people that may rent a boat?


correct_option_index: 19