options: Solve systems of equations.

Gain familiarity with factors and multiples.

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

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

Represent and solve equations and inequalities graphically.

Represent and solve problems involving addition and subtraction.

Create equations that describe numbers or relationships

Perform arithmetic operations on polynomials.

Reason about and solve one-variable equations and inequalities.

Work with addition and subtraction equations.

Write expressions in equivalent forms to solve problems.

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

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

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

Work with radicals and integer exponents.

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

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

Interpret the structure of expressions.

Add and subtract within 20.

Represent and solve problems involving multiplication and division.

Generate and analyze patterns.

Analyze patterns and relationships.

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

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

Use the four operations with whole numbers to solve problems.

Multiply and divide within 100.

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

Write and interpret numerical expressions.
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: 24