options: Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

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

Interpret the structure of expressions.

Use properties of operations to generate equivalent expressions.

Add and subtract within 20.

Work with radicals and integer exponents.

Represent and solve problems involving addition and subtraction.

Represent and solve equations and inequalities graphically.

Rewrite rational expressions.

Write and interpret numerical expressions.

Generate and analyze patterns.

Use polynomial identities to solve problems.

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

Use the four operations with whole numbers to solve problems.

Reason about and solve one-variable equations and inequalities.

Solve equations and inequalities in one variable.

Create equations that describe numbers or relationships

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

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

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

Solve systems of equations.

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

Understand the relationship between zeros and factors of polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

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

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

Work with addition and subtraction equations.

Gain familiarity with factors and multiples.

Multiply and divide within 100.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Write expressions in equivalent forms to solve problems.
problem_activity: Narrative
The purpose of this warm-up is to elicit student ideas for how a tape diagram could be used to represent a Take From problem involving lengths. This will be useful when students solve story problems in the context of length in a later activity. While students may notice and wonder many things about these images, the connections students make between the image, the tape diagram, and the equation are the important discussion points.
Launch
Groups of 2
Display the image.
“What do you notice? What do you wonder?”
1 minute: quiet think time
Activity
“Discuss your thinking with your partner.”
1 minute: partner discussion
Share and record responses.
Student Facing
What do you notice? What do you wonder?
[IMG]
[IMG]
\(54 - 16 = {?}\)
Student Response
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Activity Synthesis
“What do you think the diagram and the ribbon could have in common?” (Maybe the 54 is cm or in, so 16 is how much of the ribbon is being cut off.)
“What could the question mark represent?” (The longer part of the ribbon after it is cut. It represents the value of
\(54-16\)
.)


correct_option_index: 7