options: Use polynomial identities to solve problems.

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

Represent and solve equations and inequalities graphically.

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

Represent and solve problems involving addition and subtraction.

Work with addition and subtraction equations.

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

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

Gain familiarity with factors and multiples.

Analyze patterns and relationships.

Understand the relationship between zeros and factors of polynomials.

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

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

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

Multiply and divide within 100.

Write and interpret numerical expressions.

Reason about and solve one-variable equations and inequalities.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

Solve systems of equations.

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

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

Add and subtract within 20.

Interpret the structure of expressions.

Create equations that describe numbers or relationships
problem_activity: Narrative
This warm-up prompts students to carefully analyze and compare equations. In addition to calculating the value of each expression, students also think about the structure of each expression, including both the operations and the numbers (MP7). In the synthesis, students compare an equation with addition and an equation with subtraction to focus student attention on comparing operations and reasoning about the relationship between addition and subtraction.
Launch
Groups of 2
Display image.
“Pick one that doesn’t belong. Be ready to share why it doesn’t belong.”
1 minute: quiet think time
Activity
“Discuss your thinking with your partner.”
2-3 minutes: partner discussion
Share and record responses.
Student Facing
Which one doesn’t belong?
\(10 = 6 + 4\)
\(16 - 5 = 11\)
\(11 = 6 + 4 + 1\)
\(3 + 8 = 11\)
Student Response
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Activity Synthesis
Display equations B and C.
“How are the equations the same? How are they different?” (They both have the value 11. The first equation uses subtraction while the second one uses addition. The 11 is on the right hand side in the first equation and on the left hand side in the second equation. In the second equation 11 is written using three numbers and there are only two in the first equation.)


correct_option_index: 31