options: Use polynomial identities to solve problems.

Rewrite rational expressions.

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

Represent and analyze quantitative relationships between dependent and independent variables.

Gain familiarity with factors and multiples.

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

Write and interpret numerical expressions.

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

Represent and solve problems involving multiplication and division.

Add and subtract within 20.

Multiply and divide within 100.

Use the four operations with whole numbers to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve systems of equations.

Represent and solve problems involving addition and subtraction.

Interpret the structure of expressions.

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

Use properties of operations to generate equivalent expressions.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

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

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

Solve equations and inequalities in one variable.

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

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

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

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

Analyze patterns and relationships.

Perform arithmetic operations on polynomials.

Reason about and solve one-variable equations and inequalities.

Create equations that describe numbers or relationships

Understand properties of multiplication and the relationship between multiplication and division.
problem_activity: Narrative
The purpose of this activity is for students to decompose 6 into 2 parts. Students see that the total number of cubes remains the same when it is decomposed into 2 parts. Although students may notice that they can do this in different ways, that idea is not the focus until the next activity.
MLR8 Discussion Supports.
Display and encourage students to use the following sentence frames: “I have _____ cubes in my hand”, “I have _____ cubes on my desk,” and “I have _____ cubes altogether.”
Advances: Speaking, Reading, Representing
Required Materials
Materials to Gather
Connecting cubes
Required Preparation
Each student needs 6 connecting cubes.
Launch
Groups of 2
Give each student 6 connecting cubes.
Activity
“You have 6 cubes. Put some of the cubes in your hand and some on your desk.”
30 seconds: independent work time
“Tell your partner how many cubes are in your hand. Show them the cubes.”
“Tell your partner how many cubes are on your desk. Show them the cubes.”
“Tell your partner how many cubes you have altogether.”
Student Response
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Activity Synthesis
Invite a student to share.
“How many cubes did you have in your hand? How many cubes were on your desk?”
Write an expression to represent the parts.
“How many cubes did you have in all?” (6)
“The total number of cubes stays the same when we break them up into 2 parts.”


correct_option_index: 28