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

Interpret the structure of expressions.

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

Reason about and solve one-variable equations and inequalities.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Create equations that describe numbers or relationships

Use properties of operations to generate equivalent expressions.

Write expressions in equivalent forms to solve problems.

Work with radicals and integer exponents.

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

Understand the relationship between zeros and factors of polynomials.

Generate and analyze patterns.

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

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

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

Represent and solve problems involving multiplication and division.

Use the four operations with whole numbers to solve problems.

Perform arithmetic operations on polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Add and subtract within 20.

Work with addition and subtraction equations.

Write and interpret numerical expressions.

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

Solve systems of equations.

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

Represent and solve equations and inequalities graphically.

Use polynomial identities to solve problems.

Rewrite rational expressions.

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

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

Multiply and divide within 100.
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: 16

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