options: Apply and extend previous understandings of arithmetic to algebraic expressions.

Gain familiarity with factors and multiples.

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

Interpret the structure of expressions.

Solve equations and inequalities in one variable.

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

Understand the relationship between zeros and factors of polynomials.

Write expressions in equivalent forms to solve problems.

Represent and solve problems involving multiplication and division.

Solve systems of equations.

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

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

Multiply and divide within 100.

Perform arithmetic operations on polynomials.

Add and subtract within 20.

Use polynomial identities to solve problems.

Work with addition and subtraction equations.

Generate and analyze patterns.

Use properties of operations to generate equivalent expressions.

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

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

Write and interpret numerical expressions.

Analyze patterns and relationships.

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

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

Create equations that describe numbers or relationships

Represent and solve problems involving addition and subtraction.

Reason about and solve one-variable equations and inequalities.

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

Understand and apply properties of operations and the relationship between addition and subtraction.
problem_activity: Stage 3: Represent
Required Preparation
Materials to Gather
Crayons
Cups
Two-color counters
Materials to Copy
Blackline Masters
Shake and Spill Stage 3 Recording Sheet Kindergarten
Shake and Spill Stage 3 Recording Sheet Grade 1

Narrative
Students decide together how many counters to use (up to 10). One partner spills the counters. Both partners represent the red and yellow counters on the recording sheet.
This stage has two different recording sheets, one for kindergarten and another for grade 1. Be sure to use the appropriate recording sheet with students.
Additional Information
Each group of 2 needs a cup and 10 two-color counters.


correct_option_index: 15

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