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

Work with radicals and integer exponents.

Interpret the structure of expressions.

Multiply and divide within 100.

Analyze patterns and relationships.

Gain familiarity with factors and multiples.

Solve equations and inequalities in one variable.

Represent and solve problems involving multiplication and division.

Generate and analyze patterns.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Create equations that describe numbers or relationships

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

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

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

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

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

Write and interpret numerical expressions.

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

Reason about and solve one-variable equations and inequalities.

Use the four operations with whole numbers to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

Represent and solve equations and inequalities graphically.

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

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

Solve systems of equations.

Work with addition and subtraction equations.

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

Rewrite rational expressions.

Perform arithmetic operations on polynomials.

Add and subtract within 20.

Use polynomial identities to solve problems.

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 dividing within 100 and to help students develop fluency.
When students use known multiplication and division facts to divide larger numbers, they look for and make use of structure (MP7).
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.
\(30\div3\)
\(60\div3\)
\(63\div3\)
\(54\div3\)
Student Response
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Activity Synthesis
“How did you use division facts that you already know to find some of the other quotients?” (I knew that
\(60\div3\)
would be double the answer of
\(30\div3\)
. Once I knew
\(60\div3\)
, I was able to find
\(63\div3\)
by adding another group of 3 and
\(54\div3\)
by taking groups of 3 away.)


correct_option_index: 3