options: Interpret the structure of expressions.

Solve systems of equations.

Analyze patterns and relationships.

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

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

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

Solve equations and inequalities in one variable.

Create equations that describe numbers or relationships

Understand the relationship between zeros and factors of polynomials.

Work with addition and subtraction equations.

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

Add and subtract within 20.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Multiply and divide within 100.

Rewrite rational expressions.

Represent and solve problems involving multiplication and division.

Generate and analyze patterns.

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

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

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

Write and interpret numerical expressions.

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

Gain familiarity with factors and multiples.

Reason about and solve one-variable equations and inequalities.

Use the four operations with whole numbers to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Perform arithmetic operations on polynomials.

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

Represent and solve problems involving addition and subtraction.

Use polynomial identities to solve problems.
problem_activity: Narrative
This warm-up prompts students to compare four representations. The reasoning here prepares students to connect the previous multiplication work to the division work of this lesson. It gives students an opportunity to use precise terms such as “factors,” “product,” and “quotient” in making comparisons (MP6). During the synthesis, ask students to explain the meaning of any terminology they use.
Launch
Groups of 2
Display images and expression.
“Pick one that doesn’t belong. Be ready to share why it doesn’t belong.”
1 minute: quiet think time
Activity
“Discuss your thinking with your partner.”
2-3 minutes: partner discussion
Share and record responses.
Student Facing
Which one doesn’t belong?
A
[IMG]
B
[IMG]
C
[IMG]
D
[IMG]
Student Response
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Activity Synthesis
“What equation can each diagram represent?” (The array represents
\(4\times6=24\)
because there are 4 rows of 6 dots, and there are 24 dots in the array. The area diagram could represent
\(4\times7=28\)
or
\(28\div4=7\)
since the sides are 4 and 7, and the area is 28. The tape diagram could represent
\(24\div3={?}\)
or
\(3\times{?}=24\)
because we know the total is 24 and there are 3 groups, but we don’t know how many are in each group.)


correct_option_index: 20