options: Generate and analyze patterns.

Represent and analyze quantitative relationships between dependent and independent variables.

Use properties of operations to generate equivalent expressions.

Work with radicals and integer exponents.

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

Represent and solve problems involving addition and subtraction.

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

Rewrite rational expressions.

Understand the relationship between zeros and factors of polynomials.

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

Use the four operations with whole numbers to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Multiply and divide within 100.

Reason about and solve one-variable equations and inequalities.

Work with addition and subtraction equations.

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

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

Perform arithmetic operations on polynomials.

Write expressions in equivalent forms to solve problems.

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

Represent and solve problems involving multiplication and division.

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

Analyze patterns and relationships.

Add and subtract within 20.

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

Solve equations and inequalities in one variable.

Solve systems of equations.

Use polynomial identities to solve problems.

Represent and solve equations and inequalities graphically.

Interpret the structure of expressions.

Write and interpret numerical expressions.

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

Create equations that describe numbers or relationships

Gain familiarity with factors and multiples.
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have about equal groups in multiplication expressions and see a pattern as one factor is decreased. These understandings help students develop fluency and will be helpful later in this lesson when students will need to be able to use multiplication to answer questions about array situations.
When students notice that as the number being multiplied by 2 decreases the product decreases by a group of 2, they look for and express regularity in repeated reasoning (MP8).
Launch
Display one expression.
“Give me a signal when you have an answer and can explain how you got it.”
1 minute: quiet think time
Activity
Record answers and strategy.
Keep expressions and work displayed.
Repeat with each expression.
Student Facing
Find the value of each expression mentally.
\(10\times2\)
\(9\times2\)
\(8\times2\)
\(7\times2\)
Student Response
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Activity Synthesis
“What do you notice about the products as we worked through this series of problems?” (They decrease by 2.)
“Why does the product decrease by 2 each time?” (The number of groups decreased by 1.)


correct_option_index: 9

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