options: Represent and solve equations and inequalities graphically.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

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

Solve equations and inequalities in one variable.

Create equations that describe numbers or relationships

Analyze patterns and relationships.

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

Write and interpret numerical expressions.

Use properties of operations to generate equivalent expressions.

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

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

Work with radicals and integer exponents.

Solve systems of equations.

Rewrite rational expressions.

Work with addition and subtraction equations.

Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Multiply and divide within 100.

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

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

Use the four operations with whole numbers to solve problems.

Interpret the structure of expressions.

Use polynomial identities to solve problems.

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

Gain familiarity with factors and multiples.

Reason about and solve one-variable equations and inequalities.

Perform arithmetic operations on polynomials.

Add and subtract within 20.

Understand the relationship between zeros and factors of polynomials.

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

Analyze and solve linear equations and pairs of simultaneous linear equations.
problem_activity: Narrative
The purpose of this activity is for students to analyze what they have learned from the data and representations in the previous activities and to share their findings. In this activity, students select two things they learned and illustrate them using a tape diagram.
Monitor for tape diagrams that can be displayed during the lesson synthesis and compared to the bar graph selected in a previous activity. While the graph and diagram do not have to be from the same pair, it would be helpful for students to see data from the same survey displayed with different representations.
To add movement to this activity, consider a gallery walk. Students can make their diagrams on poster paper. As students walk around the room, they select a few diagrams and determine what information they learn about their class based on the diagram and equation.
Launch
Groups of 2
“You and your partner are going to draw a diagram. Your diagram should compare two facts you learned from your survey.”
“Decide with your partner which 2 facts you want to share with the class and how you will compare the two facts.”
1 minute: partner discussion.
Activity
5 minutes: independent work time
Students check in with their partners to be sure their representations make sense and are accurate.
3 minutes: partner discussion
Monitor for a few examples of accurate tape diagrams and equations.
Student Facing
Draw a diagram. Your diagram should compare two facts you learned from your survey.
Write an equation that represents the comparison.
Student Response
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Activity Synthesis
Display selected student work.
“What information does this diagram or equation tell us about our classmates?”
“Where do you see this equation in the diagram?”


correct_option_index: 18