options: Analyze patterns and relationships.

Perform arithmetic operations on polynomials.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Generate and analyze patterns.

Represent and analyze quantitative relationships between dependent and independent variables.

Add and subtract within 20.

Multiply and divide within 100.

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

Solve equations and inequalities in one variable.

Represent and solve problems involving multiplication and division.

Write and interpret numerical expressions.

Understand the relationship between zeros and factors of polynomials.

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

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Use properties of operations to generate equivalent expressions.

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.

Gain familiarity with factors and multiples.

Solve systems of equations.

Create equations that describe numbers or relationships

Work with radicals and integer exponents.

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

Interpret the structure of expressions.

Reason about and solve one-variable equations and inequalities.

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

Use polynomial identities to solve problems.

Represent and solve equations and inequalities graphically.

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

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

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

Represent and solve problems involving addition and subtraction.

Write expressions in equivalent forms to solve problems.
problem_activity: Narrative
The purpose of this How Many Do You See is to allow students to use subitizing or grouping strategies to describe the images they see. In the synthesis, discuss what students know about the How Many Do You See routine and what they need to think about to create one like this example.
Launch
Groups of 2
“How many do you see? How do you see them?”
Flash the image.
30 seconds: quiet think time
Activity
Display the image.
“Discuss your thinking with your partner.”
1 minute: partner discussion
Record responses.
Student Facing
How many do you see? How do you see them?
[IMG]
Student Response
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Activity Synthesis
“What do you know about How Many Do You See?” (They have dots arranged in groups that make the dots easier to count. There are many different ways to count the dots.)
Consider asking: “What would you have to think about if you were going to design a How Many Do You See like this one?” (How the dots are organized. How to create groups of dots that are easy to count. Different ways that the dots could be seen.)
Record and display responses for all to see.


correct_option_index: 9