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

Work with radicals and integer exponents.

Generate and analyze patterns.

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

Work with addition and subtraction equations.

Add and subtract within 20.

Write expressions in equivalent forms to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use polynomial identities to solve problems.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

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

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

Represent and solve equations and inequalities graphically.

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

Write and interpret numerical expressions.

Represent and solve problems involving multiplication and division.

Interpret the structure of expressions.

Solve systems of equations.

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

Solve equations and inequalities in one variable.

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

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

Create equations that describe numbers or relationships

Reason about and solve one-variable equations and inequalities.

Use properties of operations to generate equivalent expressions.

Multiply and divide within 100.

Understand the relationship between zeros and factors of polynomials.

Analyze patterns and relationships.

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.
problem_activity: Narrative
The purpose of this activity is for students to find the value of differences within 10. Students are encouraged to think about how patterns in subtraction problems and knowing sums within 10 can help them find the value of the differences. Students may use take away or counting on methods. The problems are written for students to think about different methods for solving. For example, students may find the value of
\(10 - 3\)
by taking away 3 to get 7, then see that they can find
\(10 - 7\)
by knowing the relationship between 3, 7, and 10. Students should work in groups of 2, with a different partner than they had in the previous activity.
Engagement: Provide Access by Recruiting Interest.
Provide choice. Invite students to decide which problem to start with.
Supports accessibility for: Social-Emotional Functioning, Attention
Required Materials
Materials to Gather
Connecting cubes or two-color counters
Launch
Groups of 2
Give students access to connecting cubes or two-color counters.
Activity
Read the task statement.
“You will first find the value of each difference on your own. Then you will share your thinking with a different partner than last activity.”
5 minutes: independent work time
2 minutes: partner discussion
Student Facing
Find the value of each difference.
\(9 - 6\)
\(10 - 3\)
\(7 - 3\)
\(9 - 5\)
\(8 - 6\)
\(6 - 5\)
\(9 - 4\)
\(10 - 7\)
Student Response
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Activity Synthesis
“Were there any expressions that helped you with another expression? How did they help you?” (
\(10 - 3\)
and
\(10 - 7\)
. They are related because
\(3 + 7 = 10\)
.
\(9 - 6\)
,
\(9 - 5\)
, and
\(9 - 4\)
. There is a pattern. Since the number being subtracted gets 1 bigger, the difference gets 1 smaller.)


correct_option_index: 5

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