# Operations & Algebraic Thinking Classwork for Fifth Graders

## This worksheet is designed to guide students through foundational concepts in operations and algebraic thinking. Through a mix of direct questions, word problems, and pattern recognition, students will explore how addition, subtraction, multiplication, and division are used in problem-solving. The goal is to develop not only their computational skills but also their ability to recognize patterns and use simple algebraic expressions. By the end of the activity, students should feel more confident in using numbers and symbols to solve problems and start seeing math as a tool for everyday life.

**Why Operations & Algebraic Thinking is a Foundational Skill for 5th Graders**

Operations and Algebraic Thinking is a foundational skill for 5th graders because it helps them develop the ability to solve complex problems using basic mathematical operations and introduces them to algebraic reasoning. Mastery of these concepts is essential for future success in higher-level math, such as algebra and geometry. It also builds critical thinking and problem-solving skills that are applicable in everyday life, from managing finances to understanding patterns. By learning these skills early, students gain the confidence to approach more abstract math concepts in later grades.

**Creating a Lesson Plan in 2 Minutes with Brisk: Step-by-Step Guide**

Step 1: Install the Brisk Extension and pin Brisk to your browser toolbar.

Step 2: Open up a blank Google Doc and click the Brisk Chrome extension (“B” icon) in the bottom right corner of your screen.

Step 3: Click the ‘Create’ button and then click “Inquiry Worksheet”.

Step 4: In the text box, type: “Operations & Algebraic Thinking”

Step 5: Select the appropriate Grade level and Standard (optional).

**Inquiry Worksheet: Operations & Algebraic Thinking**

**Name: ______________________ Date: _______________**

**Introduction**

Today, we will explore Operations and Algebraic Thinking! This means we will look at how to use numbers and symbols to solve problems. Let's dive in!

**Part 1: Understanding Operations**

1. **What are Operations?**

Fill in the blanks with the correct operations: addition, subtraction, multiplication, and division.

- When you combine numbers to find a total, you use __________.

- When you take away a number from another, you use __________.

- When you find the product of two numbers, you use __________.

- When you split a number into equal parts, you use __________.

**Part 2: Solving Problems**

2. **Word Problems**

Read the following problems and solve them. Show your work!

a. Sarah has 15 apples. She gives 4 apples to her friend. How many apples does Sarah have left?

**Answer: _______________**

**Work: ____________________________________________________________**

b. A box contains 6 packs of crayons. Each pack has 8 crayons. How many crayons are there in total?

**Answer: _______________**

**Work: ____________________________________________________________**

**Part 3: Patterns and Algebra**

3. **Finding Patterns**

Look at the number pattern below. Fill in the missing numbers.

2, 4, ___, 8, ___, 12

**Missing Numbers: _______________**

4. **Algebraic Expressions**

Write an expression for the following situation:

"You have x number of candies, and you buy 5 more."

**Expression: _______________**

**Part 4: Reflection**

5. **Think About It**

Why do you think understanding operations and algebra is important in real life?

**Your Answer: ____________________________________________________________**

**Part 5: Challenge Question**

6. **Challenge**

If you double a number and then subtract 3, the result is 13. What is the original number?

**Your Answer: _______________**

**Work: ____________________________________________________________**

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**Conclusion**

Great job today! Remember, operations and algebra help us solve problems in everyday life. Keep practicing these skills!

**Teacher's Notes**

- Discuss the answers as a class.

- Encourage students to explain their thought processes.

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