options: Use properties of operations to generate equivalent expressions.

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

Multiply and divide within 100.

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

Work with addition and subtraction equations.

Add and subtract within 20.

Generate and analyze patterns.

Use the four operations with whole numbers to solve problems.

Analyze patterns and relationships.

Interpret the structure of expressions.

Create equations that describe numbers or relationships

Represent and analyze quantitative relationships between dependent and independent variables.

Use polynomial identities to solve problems.

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

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

Rewrite rational expressions.

Work with radicals and integer exponents.

Write and interpret numerical expressions.

Perform arithmetic operations on polynomials.

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

Solve equations and inequalities in one variable.

Understand the relationship between zeros and factors of polynomials.

Solve systems of equations.

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

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

Represent and solve problems involving multiplication and division.

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

Represent and solve equations and inequalities graphically.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Write expressions in equivalent forms to solve problems.

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

Reason about and solve one-variable equations and inequalities.
problem_activity: Narrative
The purpose of this activity is for students to practice finding the value of division expressions using any strategy that makes sense to them. They may divide the dividend into equal groups or use the divisor to multiply up to the given dividend. They may choose to represent the division or multiplication with base-ten blocks or by drawing diagrams.
During the synthesis, highlight strategies that rely on place value, properties of operations, and the relationship between multiplication and division (MP7).
Representation: Develop Language and Symbols.
Synthesis: Make connections between representations visible. Elicit from students the connections between the different strategies and representations shared by students.
Supports accessibility for: Visual-Spatial Processing, Conceptual Processing
Required Materials
Materials to Gather
Base-ten blocks
Materials to Copy
Centimeter Grid Paper - Standard
Launch
Groups of 2
Give students access to base-ten blocks and grid paper.
Activity
“Find the value of each quotient. You can use whatever strategy or representation you prefer.”
8–10 minutes: independent work time
Monitor for a variety of strategies and representations. Identify students to share in the synthesis.
“Share your favorite way to divide with your partner.”
2–3 minutes: partner discussion
Student Facing
Find the value of each quotient. Explain or show your reasoning. Organize it so it can be followed by others.
\(80 \div 5\)
\(68 \div 4\)
\(91 \div 7\)
If you have time: Eighty-four students on a field trip are put into groups. Each group has 14 students. How many groups are there?
Student Response
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Activity Synthesis
Have previously selected students share their responses. Display or record the strategies and representations students use.
For each problem, consider polling the class on the strategy they used.


correct_option_index: 1

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