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

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Solve systems of equations.

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

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

Interpret the structure of expressions.

Write expressions in equivalent forms to solve problems.

Perform arithmetic operations on polynomials.

Work with radicals and integer exponents.

Represent and solve equations and inequalities graphically.

Add and subtract within 20.

Write and interpret numerical expressions.

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

Understand the relationship between zeros and factors of polynomials.

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

Solve equations and inequalities in one variable.

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

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

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

Represent and solve problems involving addition and subtraction.

Use polynomial identities to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving multiplication and division.

Create equations that describe numbers or relationships

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

Gain familiarity with factors and multiples.

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

Work with addition and subtraction equations.

Multiply and divide within 100.

Understand solving equations as a process of reasoning and explain the reasoning.
problem_activity: Narrative
This Number Talk encourages students to think about the relationship between addition and subtraction to mentally solve problems. This builds on the work in the previous lesson where students used the relationship between addition and subtraction to find unknown numbers in equations. The understanding elicited here will be helpful later in the lesson when students find the value to make an equation true.
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.
\(7+3\)
\(10-7\)
\(10-2\)
\(10-4\)
Student Response
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Activity Synthesis
“How did thinking about addition help you subtract?” (I thought about what number I could add to the 4 to make 10. Since I know 4 + 6 = 10 then I knew 10 – 4 = 6)
If needed, use connecting cubes to represent students’ thinking.


correct_option_index: 11