options: Understand the relationship between zeros and factors of polynomials.

Analyze patterns and relationships.

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Work with radicals and integer exponents.

Interpret the structure of expressions.

Use properties of operations to generate equivalent expressions.

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

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

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

Solve equations and inequalities in one variable.

Reason about and solve one-variable equations and inequalities.

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

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

Add and subtract within 20.

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

Generate and analyze patterns.

Represent and solve equations and inequalities graphically.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Create equations that describe numbers or relationships

Use polynomial identities to solve problems.

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

Work with addition and subtraction equations.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Multiply and divide within 100.

Represent and solve problems involving addition and subtraction.

Gain familiarity with factors and multiples.

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

Rewrite rational expressions.

Solve systems of equations.

Perform arithmetic operations on polynomials.
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for multiplication by 10. These understandings help students develop fluency and will be helpful later in this lesson when students need to be able to represent and solve a problem involving groups of 10.
When students reason why as one factor increases by 1, the product increases by 10, they look for and express the regularity they notice in the expressions (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.
\(1\times10\)
\(2\times10\)
\(3\times10\)
\(4\times10\)
Student Response
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Activity Synthesis
“What pattern do we see as we look at all of the problems? Why is that happening?” (The factor that isn’t 10 goes up by 1 each time. The products increase by 10 because I have one more group of 10.)
Consider asking:
“Did anyone use a different strategy”?
“Did anyone have the same strategy but would explain it differently?”


correct_option_index: 30