options: Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Solve systems of equations.

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

Work with addition and subtraction equations.

Use the four operations with whole numbers to solve problems.

Create equations that describe numbers or relationships

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

Perform arithmetic operations on polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Use polynomial identities to solve problems.

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

Use properties of operations to generate equivalent expressions.

Interpret the structure of expressions.

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

Multiply and divide within 100.

Generate and analyze patterns.

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

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

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

Gain familiarity with factors and multiples.

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

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Write and interpret numerical expressions.

Add and subtract within 20.

Reason about and solve one-variable equations and inequalities.

Represent and solve problems involving addition and subtraction.

Write expressions in equivalent forms to solve problems.

Represent and solve problems involving multiplication and division.

Analyze patterns and relationships.
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: 28