What you’ll learn
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To combine proper fractions using the basic operation; addition, subtraction, multiplication, and division
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The learner will be able to solve mathematical and real-world scenarios using operations of proper fractions with greater than 80% accuracy (proficiency).
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5 Days
Math 7 | Unit 1 Decimals and Integers | 3 Week Course
Happy Learning !!
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Math 7 Unit 1 Decimals and Integers ~ 3 Week Course (Copy)
This 3 week course on Unit 1 Decimals and Integers is designed for novice learners and built by a 13-year classroom teacher. With guided notes, visual slides, real-world examples, and step-by-step instruction, each lesson mimics the in-class experience. Perfect for students who need clarity, structure, and confidence in topics: Decimals and Integers
This 3 week course on Unit 1 Decimals and Integers is designed for novice learners and built by a 13-year classroom teacher. With guided notes, visual slides, real-world examples, and step-by-step instruction, each lesson mimics the in-class experience. Perfect for students who need clarity, structure, and confidence in topics: Decimals and Integers
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Week 1 ~ Unit 1 Decimals and Integers (Copy)
What You’ll Learn This Week:
Adding & Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Comparing & Ordering Integers
Adding Integers
Why This Unit Matters:
Decimals and integers are part of your everyday life—from checking the weather and tracking steps to shopping and cooking. This week, you'll learn to add, subtract, multiply, and divide with decimals and integers. These skills help you solve real-life problems and feel confident using numbers every day!
What You’ll Learn This Week:
Adding & Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Comparing & Ordering Integers
Adding Integers
Why This Unit Matters:
Decimals and integers are part of your everyday life—from checking the weather and tracking steps to shopping and cooking. This week, you'll learn to add, subtract, multiply, and divide with decimals and integers. These skills help you solve real-life problems and feel confident using numbers every day!
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Adding and Subtracting Decimals (Copy)
In this lesson we will discuss,
Adding and Subtracting Decimals
Learn how to align decimal points and add or subtract decimals with ease. Practice solving real-world problems by working through step-by-step examples that make the process clear and simple.
In this lesson we will discuss,
Adding and Subtracting Decimals
Learn how to align decimal points and add or subtract decimals with ease. Practice solving real-world problems by working through step-by-step examples that make the process clear and simple.
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Multiplying Decimals (Copy)
In this lesson we will discuss,
Multiplying Decimals
Explore how to multiply decimals and understand the importance of counting decimal places. By mastering this skill, students will be able to apply it to various math problems and real-life situations.
In this lesson we will discuss,
Multiplying Decimals
Explore how to multiply decimals and understand the importance of counting decimal places. By mastering this skill, students will be able to apply it to various math problems and real-life situations.
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Dividing Decimals (Copy)
In this lesson we will discuss,
Dividing Decimals
In this lesson, you’ll learn how to divide decimals and apply strategies to simplify your calculations. Practice exercises will help reinforce your understanding and boost your confidence in handling decimal division.
In this lesson we will discuss,
Dividing Decimals
In this lesson, you’ll learn how to divide decimals and apply strategies to simplify your calculations. Practice exercises will help reinforce your understanding and boost your confidence in handling decimal division.
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Comparing and Ordering Integers (Copy)
In this lesson we will discuss,
Comparing and Ordering Integers
Discover how to compare and order positive and negative integers. This lesson focuses on understanding number lines and how to identify which numbers are larger or smaller.
In this lesson we will discuss,
Comparing and Ordering Integers
Discover how to compare and order positive and negative integers. This lesson focuses on understanding number lines and how to identify which numbers are larger or smaller.
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Adding Integers (Copy)
In this lesson we will discuss,
Adding Integers
This lesson introduces the concept of adding integers, whether positive or negative. Learn strategies for simplifying integer addition with clear rules and fun examples.
In this lesson we will discuss,
Adding Integers
This lesson introduces the concept of adding integers, whether positive or negative. Learn strategies for simplifying integer addition with clear rules and fun examples.
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Week 2 ~ Unit 1 Decimals and Integers (Copy)
What You’ll Learn This Week:
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Comparing and Ordering Integers
Adding Integers
What You’ll Learn This Week:
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Comparing and Ordering Integers
Adding Integers
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Subtracting Integers (Copy)
In this lesson we will discuss,
Subtracting Integers
Master the art of subtracting integers by understanding how to work with positive and negative numbers. Learn how to make sense of real-world scenarios involving subtraction of integers.
In this lesson we will discuss,
Subtracting Integers
Master the art of subtracting integers by understanding how to work with positive and negative numbers. Learn how to make sense of real-world scenarios involving subtraction of integers.
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Multiplying Integers (Copy)
In this lesson we will discuss,
Multiplying Integers
Learn the rules for multiplying integers, including how the signs affect the result. This lesson helps students confidently multiply positive and negative numbers in various contexts.
In this lesson we will discuss,
Multiplying Integers
Learn the rules for multiplying integers, including how the signs affect the result. This lesson helps students confidently multiply positive and negative numbers in various contexts.
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Dividing Integers (Copy)
In this lesson we will discuss,
Dividing Integers
Understand the principles behind dividing integers. This lesson explores how division works with both positive and negative numbers and reinforces key rules for accurate calculations.
In this lesson we will discuss,
Dividing Integers
Understand the principles behind dividing integers. This lesson explores how division works with both positive and negative numbers and reinforces key rules for accurate calculations.
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Order of Operations (Copy)
In this lesson we will discuss,
Order of Operations
Get familiar with the order of operations (PEMDAS) and why it's crucial for solving complex math problems. This lesson teaches you how to approach multi-step equations with clarity and precision. Lesson does not include exponents as they will be addressed in Unit 2.
In this lesson we will discuss,
Order of Operations
Get familiar with the order of operations (PEMDAS) and why it's crucial for solving complex math problems. This lesson teaches you how to approach multi-step equations with clarity and precision. Lesson does not include exponents as they will be addressed in Unit 2.
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Distributive Property (Copy)
In this lesson we will discuss,
Distributive Property
Learn how the distributive property works to simplify expressions. This lesson teaches how to break down expressions into manageable parts, making math easier and more efficient.
In this lesson we will discuss,
Distributive Property
Learn how the distributive property works to simplify expressions. This lesson teaches how to break down expressions into manageable parts, making math easier and more efficient.
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Week 3 ~ Unit 1 Decimals and Integers
What You’ll Learn This Week:
Mean, Median, Mode and Range
Box and Whisker Plot
Unit 1 Decimals and Integers Review
Unit 1 Decimals and Integers Assessment A
Unit 1 Decimals and Integers Assessment B (Make-up)
What You’ll Learn This Week:
Mean, Median, Mode and Range
Box and Whisker Plot
Unit 1 Decimals and Integers Review
Unit 1 Decimals and Integers Assessment A
Unit 1 Decimals and Integers Assessment B (Make-up)
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Unit 1 Decimals and Integers Assessment A
In this lesson we will discuss,
Unit 1 Decimals and Integers Assessment A
Learners will complete the Unit 1 assessment and show their understanding of decimals and integers using mathematical and real world scenarios
In this lesson we will discuss,
Unit 1 Decimals and Integers Assessment A
Learners will complete the Unit 1 assessment and show their understanding of decimals and integers using mathematical and real world scenarios
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Unit 1 Decimals and Integers Assessment B
In this lesson we will discuss,
Unit 1 Decimals and Integers Assessment B
Learners who would like a second attempt at the Unit 1 assessments will be provided an additional testing opportunity to show their understanding of decimals and integers using mathematical and real world scenarios.
In this lesson we will discuss,
Unit 1 Decimals and Integers Assessment B
Learners who would like a second attempt at the Unit 1 assessments will be provided an additional testing opportunity to show their understanding of decimals and integers using mathematical and real world scenarios.
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In this course, you will….
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Interactive notebook creation
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Discover adding, subtracting, multiplying, and dividing fractions in an easy and organized manner
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Engage in learning activities, assessments, and self evaluations to determine your success!
Course FAQ
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Introductory and foundational understanding of adding and subtracting fractions
Introductory and foundational understanding of multiplying and dividing fractions
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The course consists of 5 lesson pages
The course can be completed at the pace of the learner
The course is outlined for the learner to begin with a self assessment and end with a self assessment.
Remember to watch the lessons as many times as you need to fully understand the information.
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Guided notes are available for each lesson
Learners will have links within the google slides that allow for use of timer and additional videos
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Check for understanding assignments are available at the end of each lesson. Learners have additional resources embedded in google form activities
Here are sets of sample questions (Level 1, 2, 3 by Depth of Knowledge) on Order of Operations aligned with the South Carolina 7th Grade Math Standards (notably “Extend previous understanding of order of operations to solve multi-step real-world and mathematical problems involving rational numbers” etc.).
📘 Level 1 (DOK 1) — Recall / Basic Use
Evaluate: 8 + 5 × 2
Evaluate: (7 − 3) × 4
Evaluate: 12 ÷ 3 + 6
Evaluate: 5 × (2 + 4)
Evaluate: 18 − 4 × 2 + 1
📗 Level 2 (DOK 2) — Skills & Concepts / More than One Step
Evaluate: (5 + 2) × 3 − 4
Evaluate: 24 ÷ (3 + 1) + 5
Evaluate: 6 + 4 × (3 − 1) ÷ 2
Evaluate: (8 − 3)² + 2 (Note: includes exponent to align with rational numbers standard.)
Evaluate: 3/4 × (8 − 4) + 2
🧠 Level 3 (DOK 3) — Strategic Thinking / Complex Applications / Real-world Problems
A school supplies company packs boxes with 3 packets of pencils and 2 packets of erasers. If each packet of pencils costs $1.75 and each packet of erasers costs $2.40, what is the cost of 4 boxes? (Hint: use order of operations to compute cost per box first.)
Emily bought 5 cakes. Each cake costs $12.50. She pays 8% sales tax on the total. Then she gives a $10 coupon. What is the final amount she pays? (Use correct order of operations.)
A recipe calls for mixing 2/3 cup of sugar, 3/4 cup of flour, and 5/6 cup of milk. If the recipe is tripled, how much of each ingredient is needed? Then compute the total amount of mixture. (Requires fraction operations + order of operations.)
A rectangular garden has length L=3x+5L = 3x + 5L=3x+5 feet and width W=2x−1W = 2x − 1W=2x−1 feet. If x=4x = 4x=4, what is the area of the garden? (Compute expressions then area. Order: substitute, simplify, multiply.)