options: Use polynomial identities to solve problems.

Write expressions in equivalent forms to solve problems.

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

Solve systems of equations.

Add and subtract within 20.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Interpret the structure of expressions.

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

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

Represent and solve problems involving addition and subtraction.

Gain familiarity with factors and multiples.

Understand the relationship between zeros and factors of polynomials.

Use properties of operations to generate equivalent expressions.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

Create equations that describe numbers or relationships

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

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

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

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

Represent and solve problems involving multiplication and division.

Write and interpret numerical expressions.

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

Rewrite rational expressions.

Multiply and divide within 100.

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Understand properties of multiplication and the relationship between multiplication and division.
problem_activity: Ellen and Mundi each want to write a pattern that is 10 numbers long.
Ellen writes 0 as her first number and adds 2 each time to get her next number.
Mundi writes 0 as his first number and adds 6 each time to get his next number.
Ellen’s pattern:
0
,
2
,
,
,
,
,
,
,
,
Mundi’s pattern:
0  ,
6
,
,
,
,
,
,
,
,
a.   Complete Ellen and Mundi’s patterns.
b.   How many times greater is Mundi’s fourth number than Ellen’s fourth number?  What about the seventh numbers? The tenth numbers?
c.   What pattern do you notice in Part (b)?  Why do you think that pattern exists?


correct_option_index: 22