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

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

Create equations that describe numbers or relationships

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

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

Use polynomial identities to solve problems.

Work with radicals and integer exponents.

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

Solve systems of equations.

Add and subtract within 20.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Multiply and divide within 100.

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

Interpret the structure of expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Work with addition and subtraction equations.

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

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

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

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.

Represent and solve problems involving addition and subtraction.

Perform arithmetic operations on polynomials.

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

Rewrite rational expressions.

Generate and analyze patterns.

Analyze patterns and relationships.

Reason about and solve one-variable equations and inequalities.

Represent and solve problems involving multiplication and division.
problem_activity: Narrative
The purpose of this activity is for students to solve problems that involve multiplication where one factor is a teen number. Students may solve and represent the problem any way they choose. In problem 3, look for different ways in which students are using area diagrams to highlight in the posters for the gallery walk in the next activity. Students reason abstractly and quantitatively when they interpret the stories and represent them with diagrams, expressions, or equations (MP2).
Engagement: Provide Access by Recruiting Interest.
Leverage choice around perceived challenge. Invite students to select at least 2 of the 4 problems to complete.
Supports accessibility for: Organization, Attention, Social-emotional Skills
Required Materials
Materials to Gather
Base-ten blocks
Tools for creating a visual display
Materials to Copy
Centimeter Grid Paper - Standard
Launch
Groups of 2
“Where are some places that you see art in your community?”
30 seconds: quiet think time
Share responses.
“These problems are about a student visiting a local art festival. This is where local artists come to display and sell their work.”
Give students access to grid paper and base-ten blocks.
“Turn and talk to your partner about how you might solve these problems.”
1–2 minutes: partner discussion
Activity
“Solve these problems. Explain or show your reasoning.”
6–8 minutes: independent work time
As students work, consider asking:
“How can you represent your thinking about the problem?”
“Where can you see _____ in your work?”
Monitor for:
different ways that students use the area diagram in the third problem
students who represent the third problem in the same way to pair to create a poster together
“Now you are going to create a poster to show your thinking on the third problem. You are going to work with a partner who solved the problem in the same way you did.”
Give each group tools for creating a visual display.
6–8 minutes: partner work time
Student Facing
Solve each problem. Explain or show your reasoning.
Noah sees a large painted mural that has side lengths of 15 feet and 4 feet. What is the area of the mural?
Noah’s family buys a mosaic that has 12 rows and 8 columns of 1 inch tiles. What is the area of the mosaic?
At the art festival, Noah uses sidewalk chalk to help decorate a rectangular piece of sidewalk that is 6 feet by 14 feet. What is the area of the piece of sidewalk that Noah helped decorate?
At the art festival, Noah buys a pack of stickers. There are 5 sheets and each sheet has 16 stickers. How many stickers are in the pack?
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Advancing Student Thinking
If students don’t find a solution to the problems, consider asking: “What is this problem about?” and “How could you represent the problem?”
Activity Synthesis
Display posters around the room.


correct_option_index: 20

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