options: Interpret the structure of expressions.

Perform arithmetic operations on polynomials.

Represent and solve problems involving addition and subtraction.

Solve systems of equations.

Solve equations and inequalities in one variable.

Represent and analyze quantitative relationships between dependent and independent variables.

Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

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

Reason about and solve one-variable equations and inequalities.

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

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

Work with radicals and integer exponents.

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

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

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

Multiply and divide within 100.

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

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

Rewrite rational expressions.

Create equations that describe numbers or relationships

Understand the relationship between zeros and factors of polynomials.

Gain familiarity with factors and multiples.

Use polynomial identities to solve problems.

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

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

Work with addition and subtraction equations.

Use the four operations with whole numbers to solve problems.

Write and interpret numerical expressions.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for adding within 20.
Students may have many ideas for adding these numbers. In the synthesis, students discuss what they notice about the first two expressions. Students may notice that the expressions are equal and that one expression might help them with the other.
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.
\(8 + 2 + 4\)
\(8 + 6\)
\(7 + 3 + 6\)
\(7 + 9\)
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
“What do you notice about the first two expressions?” (They are both 14. If 6 was broken into 2 and 4, it would be the same expression.)


correct_option_index: 17