options: Reason about and solve one-variable equations and inequalities.

Represent and solve equations and inequalities graphically.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Interpret the structure of expressions.

Solve equations and inequalities in one variable.

Use polynomial identities to solve problems.

Work with addition and subtraction equations.

Analyze patterns and relationships.

Represent and analyze quantitative relationships between dependent and independent variables.

Use properties of operations to generate equivalent expressions.

Solve systems of equations.

Create equations that describe numbers or relationships

Generate and analyze patterns.

Gain familiarity with factors and multiples.

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

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.

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

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

Perform arithmetic operations on polynomials.

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

Write expressions in equivalent forms to solve problems.

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

Multiply and divide within 100.

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

Represent and solve problems involving addition and subtraction.

Add and subtract within 20.

Work with radicals and integer exponents.

Understand the relationship between zeros and factors of polynomials.

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

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

Write and interpret numerical expressions.

Represent and solve problems involving multiplication and division.
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for making a ten when adding within 20. The numbers chosen lend themselves to making a ten to find the value of the sum. These understandings help students develop fluency and will be helpful later in this lesson when students make a ten when adding one-digit numbers and two-digit numbers.
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 methods.
Keep expressions and work displayed.
Repeat with each expression.
Student Facing
Find the value of each expression mentally.
\(8 + 2\)
\(8 + 5\)
\(9 + 8\)
\(7 + 6\)
Student Response
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Activity Synthesis
“How could
\(8 + 2\)
help you to find the value of
\(8 + 5\)
?” (I can add 2 to 8 to get to 10, and then I have 3 more to add.
\(10 + 3\)
is 13.)


correct_option_index: 27