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

Represent and analyze quantitative relationships between dependent and independent variables.

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

Gain familiarity with factors and multiples.

Multiply and divide within 100.

Understand the relationship between zeros and factors of polynomials.

Work with radicals and integer exponents.

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

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

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

Represent and solve problems involving multiplication and division.

Add and subtract within 20.

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

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

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

Use properties of operations to generate equivalent expressions.

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

Solve systems of equations.

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

Perform arithmetic operations on polynomials.

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

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

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

Interpret the structure of expressions.

Rewrite rational expressions.

Represent and solve problems involving addition and subtraction.

Use polynomial identities to solve problems.

Create equations that describe numbers or relationships

Use the four operations with whole numbers to solve problems.

Work with addition and subtraction equations.
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for making a ten to add. When students look for ways to decompose an addend to make 10, students look for and make use of the structure of numbers and the properties of operations (MP7). These understandings help students develop fluency and will be helpful later in this lesson when students will need to be able to add within 20.
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 sum mentally.
\(8 + 2\)
\(8 + 3\)
\(8 + 5\)
\(7 + 6\)
Student Response
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Activity Synthesis
“How does making 10 help in finding the value of the sums?” (It helped me because I was able to use facts I already know. I know
\(7 + 3 = 10\)
and I know
\(10 + 3 = 13\)
.)


correct_option_index: 14