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

Generate and analyze patterns.

Analyze patterns and relationships.

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

Interpret the structure of expressions.

Rewrite rational expressions.

Work with radicals and integer exponents.

Add and subtract within 20.

Perform arithmetic operations on polynomials.

Write expressions in equivalent forms to solve problems.

Work with addition and subtraction equations.

Represent and solve problems involving multiplication and division.

Gain familiarity with factors and multiples.

Use properties of operations to generate equivalent expressions.

Use the four operations with whole numbers to solve problems.

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

Represent and solve equations and inequalities graphically.

Use polynomial identities to solve problems.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving addition and subtraction.

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

Reason about and solve one-variable equations and inequalities.

Multiply and divide within 100.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Create equations that describe numbers or relationships

Write and interpret numerical expressions.

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

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

Solve equations and inequalities in one variable.

Solve systems of equations.
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for making 10 when adding. These understandings help students develop fluency with operations within 20.
When students look for ways to rearrange and decompose numbers to make 10, they notice and make use of structure of expressions and whole numbers (MP7).
Launch
Display one expression.
“Give me a signal when you have an answer and can explain how you got it.”
1 minute: think time
Activity
Record answers and strategies.
Keep expressions and work displayed.
Repeat for each expression.
Student Facing
Find the value of each sum mentally.
\(4 + 8 + 2\)
\(4 + 5 + 3 + 2\)
\(9 + 3 + 1\)
\(9 + 5\)
Student Response
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Activity Synthesis
“How did making a ten help when finding the sums?”


correct_option_index: 7