options: Interpret the structure of expressions.

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

Work with addition and subtraction equations.

Use polynomial identities to solve problems.

Gain familiarity with factors and multiples.

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

Use properties of operations to generate equivalent expressions.

Write expressions in equivalent forms to solve problems.

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

Represent and solve equations and inequalities graphically.

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Write and interpret numerical expressions.

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

Work with radicals and integer exponents.

Multiply and divide within 100.

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

Rewrite rational expressions.

Represent and solve problems involving multiplication and division.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Analyze patterns and relationships.

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

Represent and solve problems involving addition and subtraction.

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

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

Add and subtract within 20.

Solve equations and inequalities in one variable.

Solve systems of equations.

Create equations that describe numbers or relationships

Understand the relationship between zeros and factors of polynomials.

Use the four operations with whole numbers to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.
problem_activity: Warm-up
The purpose of this warm-up is to reactivate students’ understanding of tape diagrams to make it more likely that tape diagrams are accessible as a tool for them to choose in this lesson. The diagram was deliberately constructed to encourage some students to write an equation like
\(24=3(a+2)\)
and others like
\(24=3a+6\)
. Monitor for one student who writes each type of equation.
Launch
Arrange students in groups of 2. Give 5 minutes of quiet think time and time to share their work with a partner followed by a whole-class discussion.
Student Facing
[IMG]
Write a story that could be represented by this tape diagram.
Write an equation that could be represented by this tape diagram.
Student Response
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Activity Synthesis
After students have had a chance to share their work with their partner, select a few students to share their stories. Then, select one student to share each type of equation and explain its structure:
\(3(a+2)=24\)
and
\(3a+6=24\)
.


correct_option_index: 22