options: Use the four operations with whole numbers to solve problems.

Generate and analyze patterns.

Solve systems of equations.

Analyze patterns and relationships.

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

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

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

Add and subtract within 20.

Write expressions in equivalent forms to solve problems.

Write and interpret numerical expressions.

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

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

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

Solve equations and inequalities in one variable.

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.

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

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

Understand the relationship between zeros and factors of polynomials.

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

Gain familiarity with factors and multiples.

Multiply and divide within 100.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

Represent and analyze quantitative relationships between dependent and independent variables.

Create equations that describe numbers or relationships

Work with radicals and integer exponents.

Reason about and solve one-variable equations and inequalities.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

Interpret the structure of expressions.
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: 11