options: Write expressions in equivalent forms to solve problems.

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

Reason about and solve one-variable equations and inequalities.

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving multiplication and division.

Write and interpret numerical expressions.

Create equations that describe numbers or relationships

Perform arithmetic operations on polynomials.

Represent and solve problems involving addition and subtraction.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

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

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

Gain familiarity with factors and multiples.

Generate and analyze patterns.

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

Rewrite rational expressions.

Solve systems of equations.

Use the four operations with whole numbers to solve problems.

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

Use polynomial identities to solve problems.

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

Work with radicals and integer exponents.

Add and subtract within 20.

Solve equations and inequalities in one variable.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Interpret the structure of expressions.

Analyze patterns and relationships.

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

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

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

Understand the relationship between zeros and factors of 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