options: Gain familiarity with factors and multiples.

Generate and analyze patterns.

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

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

Represent and solve problems involving multiplication and division.

Use polynomial identities to solve problems.

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

Represent and solve equations and inequalities graphically.

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

Perform arithmetic operations on polynomials.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

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

Write expressions in equivalent forms to solve problems.

Solve systems of equations.

Represent and solve problems involving addition and subtraction.

Create equations that describe numbers or relationships

Represent and analyze quantitative relationships between dependent and independent variables.

Use the four operations with whole numbers to solve problems.

Add and subtract within 20.

Understand the relationship between zeros and factors of polynomials.

Use properties of operations to generate equivalent expressions.

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

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

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

Multiply and divide within 100.

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

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

Write and interpret numerical expressions.

Interpret the structure of expressions.

Solve equations and inequalities in one variable.

Rewrite rational expressions.
problem_activity: Narrative
In this activity, students solve addition problems using money based on the Pattern Block Puzzles they sketched in the last activity.
The launch of the activity is an opportunity for students to reason which of the two designs will cost more before they complete any computations.
MLR7 Compare and Connect.
Synthesis: After all strategies have been presented, lead a discussion comparing, contrasting, and connecting the different approaches. Ask, “Did anyone solve the problem the same way, but would explain it differently?”, “What did the representations have in common?”, “How were they different?”
Advances: Representing, Conversing
Launch
Groups of 2
“At the Pattern Block Store, each pattern block shape has a different price.”
Display the price list.
“Which of the two puzzles that you sketched do you think will cost more to make? Puzzle 1 or 2?”
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
Activity
“Use the price list to figure out how much your two puzzles would cost.”
5 minutes: independent work time
5 minutes: partner discussion
As students work, look for different addition strategies. Monitor for students who:
add like quantities first
add bigger or smaller coins first
add some coins mentally
Student Facing
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How much would the two puzzles you sketched cost at the Pattern Block Store? Show or explain your reasoning.
Puzzle 1:
Puzzle 2:
Student Response
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Activity Synthesis
Invite previously selected students to share.
“Is it possible to redesign the puzzle to save more money?” (Yes, I can switch a blue rhombus with two triangles.)


correct_option_index: 16