options: Perform arithmetic operations on polynomials.

Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Add and subtract within 20.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with addition and subtraction equations.

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

Understand the relationship between zeros and factors of polynomials.

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

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

Multiply and divide within 100.

Create equations that describe numbers or relationships

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

Work with radicals and integer exponents.

Solve equations and inequalities in one variable.

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

Interpret the structure of expressions.

Write and interpret numerical expressions.

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

Use the four operations with whole numbers to solve problems.

Reason about and solve one-variable equations and inequalities.

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

Solve systems of equations.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Rewrite rational expressions.

Represent and solve problems involving multiplication and division.

Gain familiarity with factors and multiples.

Use polynomial identities to solve problems.

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

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

Understand properties of multiplication and the relationship between multiplication and division.
problem_activity: Narrative
This warm-up prompts students to carefully analyze and compare features of expressions and equations. When students compare the drawing, expression, and equations, they must use language precisely to describe how each is the same or different (MP6). Listen to the language students use to describe the different characteristics of each expression and equation and connect students' language to the new terms, factor and product, that are introduced in the synthesis.
Launch
Groups of 2
Display the image, expression, and equations.
“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
\(3\times5\)
C
\(2\times5 =10\)
D
\(7 + 8 = 15\)
Student Response
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Activity Synthesis
“How is C different from the other ways we’ve represented equal groups before?” (It has an equal sign. It’s an equation.)
“C is a multiplication
equation
because it contains a multiplication symbol and the equal sign.”
“There are words that help us talk about different parts of the multiplication equation. The
factors
are the numbers being multiplied. The
product
is the result of multiplying some numbers. In the equation in C, the numbers 2 and 5 are the factors. The product is 10. Keep these words in mind today as we work with other multiplication equations.”


correct_option_index: 27