options: Represent and solve problems involving addition and subtraction.

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

Solve systems of equations.

Create equations that describe numbers or relationships

Rewrite rational expressions.

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

Generate and analyze patterns.

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

Multiply and divide within 100.

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

Add and subtract within 20.

Represent and solve problems involving multiplication and division.

Solve equations and inequalities in one variable.

Use the four operations with whole numbers to solve problems.

Write expressions in equivalent forms to solve problems.

Analyze patterns and relationships.

Perform arithmetic operations on polynomials.

Use polynomial identities to solve problems.

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

Represent and analyze quantitative relationships between dependent and independent variables.

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

Work with addition and subtraction equations.

Gain familiarity with factors and multiples.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with radicals and integer exponents.

Represent and solve equations and inequalities graphically.

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

Write and interpret numerical expressions.

Reason about and solve one-variable equations and inequalities.

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

Understand the relationship between zeros and factors of polynomials.

Use properties of operations to generate equivalent expressions.

Interpret the structure of expressions.
problem_activity: Narrative
This warm-up prompts students to carefully analyze and compare representations of patterns. Listen for the language students use to describe and compare the elements of each pattern and give them opportunities to clarify what they mean when they use numbers to describe the patterns (MP6).
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?
A
[IMG]
B
[IMG]
C
[IMG]
D
[IMG]
Student Response
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Activity Synthesis
“What features of the diagrams did you look at when you tried to find which one doesn’t belong?” (Sample response: the number of small squares in each shape)
If time permits, ask students to think about which one doesn’t belong if they pay attention to the number of rows or the perimeter rather than the number of squares.


correct_option_index: 6