options: Represent and solve problems involving multiplication and division.

Write and interpret numerical expressions.

Solve equations and inequalities in one variable.

Write expressions in equivalent forms to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Gain familiarity with factors and multiples.

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

Solve systems of equations.

Understand the relationship between zeros and factors of polynomials.

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

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

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.

Represent and solve problems involving addition and subtraction.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

Add and subtract within 20.

Multiply and divide within 100.

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

Create equations that describe numbers or relationships

Reason about and solve one-variable equations and inequalities.

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

Interpret the structure of expressions.

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

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

Use properties of operations to generate equivalent expressions.

Use the four operations with whole numbers to solve problems.

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

Generate and analyze patterns.

Analyze patterns and relationships.

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

Perform arithmetic operations on polynomials.
problem_activity: Narrative
The purpose of this activity is for students to discuss different ways to solve a three-addend story problem in which none of the addends can be combined to make 10 without being decomposed. Students solve the problem in a way that makes sense to them. Some students may build each number separately on the 10-frames and see both are filled. Some students may manipulate the numbers and think
\(8 + 7 + 5 = 8 + 2 + 5 + 5\)
. Different methods for solving are highlighted in the synthesis. It is important that the teacher represents student thinking, so that these methods are visible to all.
When students make sense of the story problems and connect the quantities in the story to an equation, they reason abstractly and quantitatively (MP2).
MLR6 Three Reads.
Keep books or devices closed. To launch this activity, display only the problem stem, without revealing the question. “We are going to read this story problem 3 times.” After the 1st Read: “Tell your partner what happened in the story.” After the 2nd Read: “What are all the things we can count in this story?” Reveal the question. After the 3rd Read: “What are different ways we can solve this problem?”
Advances: Reading, Representing
Required Materials
Materials to Gather
Connecting cubes or two-color counters
Double 10-frames
Launch
Groups of 2
Give students access to double 10-frames and connecting cubes or two-color counters.
Activity
Read the task statement.
4 minutes: independent work time
2 minutes: partner discussion
Monitor for students who:
place 8, 7, and 5 counters on the 10-frames and see that they are both full
count on
represent the problem as
\(8 + 2 + 5 + 5\)
use a known sum like
\(8 + 8\)
and then add 4 more.
Student Facing
Jada went to the zoo with her family.
They went to the reptile exhibit and saw 8 snakes, 7 iguanas, and 5 frogs.
[IMG]
How many reptiles did Jada's family see?
Show your thinking using drawings, numbers, or words.
Student Response
Teachers with a valid work email address can
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for free access to Student Response.
Activity Synthesis
Invite previously identified students to share.
“What did they do to find the sum?”
Record each method with an equation.


correct_option_index: 15

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