Course Details:
- 1 live class per week
- 16 weeks
- Live Class Length: 45 minutes
- 12 seats per section
- Homework is assigned
- Formal grades, Teacher feedback given during class, Teacher feedback offered on homework
- Materials
The teacher will provide all the materials.
4th Grade Math: Calculating Your Way to Confidence
$325.00
This course follows a concrete-pictorial-abstract approach, helping fourth graders build genuine mathematical understanding through hands-on experiences, visual models, and gradual progression to abstract thinking. Our live classes complement the online curriculum with intensive algorithm practice, spiral review, encouragement, and biblical connections that help students see God’s perfect order and design in mathematics.
Section Options / Enroll:
- Description
- Lesson Schedule
- Class Intro Video
- A Biblical Worldview
- Philosophy of Teaching: Mathematics
- The Lemons-Aid Way
- Teacher Bios
- Outschool
- Request a Section
- Reviews (0)
Description
Proverbs 31:16-17
“She considers a field and buys it; out of her earnings she plants a vineyard. She sets about her work vigorously; her arms are strong for her tasks.” This passage celebrates the confidence that comes from competent calculation and wise planning. The virtuous woman carefully considers, calculates the cost, and proceeds with strength and vigor. In fourth grade mathematics, students develop this same kind of mathematical confidence—mastering complex calculations with multi-digit numbers, fractions, and decimals. When students can confidently calculate their way through challenging problems, they approach mathematics with the same vigor and strength, knowing they have the computational tools to succeed in any mathematical task God places before them.
Course Description
Our 4th Grade Math course helps students calculate their way to lasting mathematical confidence through an online curriculum enhanced by our expert live instruction. Students develop sophisticated computational skills, master complex algorithms, and build advanced problem-solving abilities in a nurturing, Christ-centered environment.
This course follows a concrete-pictorial-abstract approach, helping fourth graders build genuine mathematical understanding through hands-on experiences, visual models, and gradual progression to abstract thinking. Our live classes complement the online curriculum with intensive algorithm practice, spiral review, encouragement, and biblical connections that help students see God’s perfect order and design in mathematics.
Our students meet and exceed state standards, and they score well on standardized tests.
Fourth-grade math strengthens students’ understanding of whole numbers, fractions, decimals, geometry, and problem-solving while developing fluency with multi-digit operations and mathematical reasoning. Throughout the year, students learn to:
- Read, write, compare, and round whole numbers
- Develop a deeper understanding of place value and number relationships
- Add, subtract, multiply, and divide multi-digit whole numbers using efficient strategies and standard algorithms
- Solve multi-step real-world problems involving all four operations
- Identify factors, multiples, prime numbers, and composite numbers
- Understand, compare, and generate equivalent fractions
- Add and subtract fractions with like denominators
- Multiply fractions by whole numbers
- Understand decimal notation and compare decimals
- Solve problems involving angle measurement
- Calculate perimeter and area of rectangles and solve related real-world problems
- Classify two-dimensional figures based on their properties
- Explain mathematical thinking using models, strategies, and precise mathematical language
How It Works
Asynchronous Learning (Daily): Students work through online lessons 4-5 days per week, progressing through tutorials and practice exercises at their own pace.
Live Class: Our expert teachers lead a 45-minute live class once a week, focusing on:
- Direct instruction of new material with modeling and guided practice
- Re-teaching concepts based on student questions and online performance
- Spiral review of previously learned skills
- Intensive practice with multi-digit algorithms
- Advanced problem-solving strategies
- Biblical connections and prayer time
- Encouragement and confidence-building
*There is a 2-day per week live class option available to pod learners. With this option, students do not have required homework. If interested, reach out to su*****@********id.com for more details.
Assessment & Communication:
- Complete grading of all online work and assessments
- Regular progress monitoring and parent updates
Social, Emotional & Spiritual Growth
Building Mathematical Confidence: We understand that fourth grade is when students either develop confidence in complex calculations or begin to struggle with mathematical procedures. Our systematic approach to algorithms and problem-solving emphasizes that every child can achieve computational mastery with proper support, practice, and perseverance. Students learn that with God’s help and diligent effort, they can DO HARD THINGS and develop the mathematical confidence that will serve them throughout their academic journey.
Faith Integration: Students discover that God is a God of precision through the accuracy required in multi-digit calculations, the beauty of geometric measurements, and the logical structure of mathematical algorithms. We begin each class with prayer, thanking God for minds capable of understanding complex computational procedures. As students explore the relationships between fractions and decimals, and the patterns in factors and multiples, they learn that “God is not a God of disorder but of peace” (1 Corinthians 14:33) and see how mathematical precision reflects His perfect design throughout creation.
Developing Advanced Computational Skills: At this crucial age, we intentionally build sophisticated computational strategies step-by-step algorithm development. Students learn that complex calculations can be broken down into manageable steps, and that systematic thinking and careful attention to detail lead to mathematical success and lasting confidence.
In 4th Grade Math, we help each student develop the computational fluency and problem-solving confidence they need for success in advanced mathematics, while helping them see the beauty of God’s order and design in the precision and logic of mathematical procedures.
Semester A
Unit 1: Factors & Multiples
Explore the relationship between factors and multiples, including visual models and contexts.
Section 1: Factors & Divisibility
- Find Factors Visually (Guided)
- Find Factors (Guided)
- Find Factors
- Divisibility Visually (Guided)
Section 2: Factor-Multiple Relationship
- Factor-Multiple Relationship (Area Model)
- Factor-Multiple Relationship L1
- Factor-Multiple Relationship L2
- Factor-Multiple-Divisible Relationship (MC)
- Factor-Multiple-Divisible Relationship
Unit 2: Place Value, Addition, Subtraction
Identify the value of each digit in a number, and apply place value concepts to add and subtract whole numbers.
Section 1: Place Value
- Numbers From Words to Standard Form L1
- Numbers From Words to Standard Form L2
- Identify Place Value, Whole Number L1
- Identify Place Value, Whole Number L2
- Identify Value of Digit, Whole Number L1
- Identify Value of Digit, Whole Number L2
- Expanded Form (Whole Number) L1
- Expanded Form (Whole Number) L2
- Standard to Expanded Form (Whole Number)
- Expanded / Standard / Written Form (Whole Number)
Section 2: Order & Round Whole Numbers
- Place Whole Numbers on Number Line (Large)
- Compare Numbers and Justify (Whole Number)
- Order Whole Numbers L1
- Order Whole Numbers L2
- Order Whole Numbers L3
- Rounding Whole Numbers
- Select All That Round To (Whole Numbers)
Section 3: Whole Number Addition & Subtraction
- Addition Algorithm, Three-Digit Numbers
- Addition Algorithm, Multi-Digit Numbers
- Subtraction Algorithm, Three-Digit Numbers
- Subtraction Algorithm, Multi-Digit Numbers
- Large Number Word Problems, Add & Subtract
Unit 3: Whole Numbers: Multiplication & Division
Multiply whole numbers, starting with rectangular models and building to strategies based on place value. Use partial quotients and long division to divide whole numbers.
Section 1: Area & Perimeter
- Build Rectangle, Find Area
- Build Rectangle, Find Perimeter
- Area and Perimeter of Rectangle/Square L1
- Area and Perimeter of Rectangle/Square L2
- Compare Area and Perimeter of Rectangles
- Area and Perimeter of Rectangle/Square Word Problems
- Area and Perimeter of Rectangle/Square Word Problems (Multistep)
- Area and Perimeter of Composite Shapes (Rectangular)
- Area Puzzles (Rectangles / Squares)
Section 2: Whole Number Multiplication
- Multiplicative Comparison (Times as Many)
- Times as Many Word Problems
- Multiplication by Multiples of 10 (Level 1)
- Base Ten Blocks, Whole Number Multiplication (Guided)
- Area Model Whole Number Multiplication, Addition (L1)
- Area Model Whole Number Multiplication, Addition (L2)
- Multiplication Algorithm 2- x 1-Digit
- Times As Many Word Problems (Multistep) L1
- Times As Many Word Problems (Multistep) L2
- Area Model Multiplication, Two-Digit Numbers (Level 1)
- Multiplication Algorithm 2- x 2-Digit
- Word Problems, Two-Digit Add Subtract Multiply
Section 3: Whole Number Division
- Partial Quotient Division (Level 1)
- Intro to Long Division Concept (Guided)
- Long Division, Whole Number, No Remainder
- Long Division, Whole Number, Remainder (Guided)
- Long Division, Whole Number, Remainder
- Convert Remainder to Fraction
- Match Context to Expression (Whole Number)
Semester B
Unit 4: Fractions
Create equivalent fractions and compare fractions using benchmarks and models. Add and subtract fractions with the same denominator, and multiply a whole number by a fraction.
Section 1: Compare & Order Fractions
- Identify Fraction / Mixed Number (Pattern Blocks) L1
- Identify Fraction / Mixed Number (Pattern Blocks) L2
- Identify Improper Fractions / Mixed Numbers
- Equivalent Fractions (Scale Up)
- Fraction Comparison (Benchmark of 1/2)
- Fraction Comparison (Benchmark of 1)
- Fraction Comparison with Benchmarks (MC)
- Fractions on Number Line (Same Denominator)
- Order Fractions on a Number Line
- Order Fractions
Section 2: Basic Fraction Operations
- Add Fractions Visually (Common Denominator)
- Add and Subtract Fractions (Common Denominator)
- Fractions that Add to a Whole
- Whole Times a Fraction (Visually)
- Whole Times a Fraction
- Whole Times a Fraction (Missing Value)
- Doubling a Recipe (Fractions)
- Fractions, Equivalent Expressions L1
- Fractions, Equivalent Expressions L2
- Basic Fraction Word Problems (Common Denominator)
- Multistep Fraction Word Problems (Common Denominator)
Section 3: Mixed Numbers
- Convert Fractions to Mixed Numbers (Basic)
- Convert Improper Fractions / Mixed Numbers – Visually
- Convert Improper Fractions / Mixed Numbers
- Mixed Numbers, Equivalent Expressions
- Regrouping Mixed Numbers (Addition)
- Add/Subtract Mixed Numbers (Level 1)
- Add/Subtract Mixed Numbers (Level 2)
- Basic Mixed Number Word Problems (Common Denominator)
Unit 5: Decimals
An introduction to decimals, including place value, rounding, ordering, addition, and subtraction.
Section 1: Decimal Place Value
- Base Ten Blocks, Decimal Representation L1
- Base Ten Blocks, Identify Decimal L1
- Convert Fractions and Decimals (Tenths and Hundredths)
- Decimals From Words to Standard Form L1
- Identify Place Value, Decimal L1
- Identify Value of Digit, Decimal L1
Section 2: Locate, Round, & Compare Decimals
- Place Decimals on Number Line
- Rounding Numbers (Level 1)
- Order Decimals (Level 1)
- Order Decimals (Level 1)
- Order Decimals (Level 2)
Section 3: Add & Subtract Decimals
- Base Ten Blocks, Decimal Addition Level 1 (Guided)
- Two-Digit Decimal Addition L1
- Two-Digit Decimal Addition L2
- Addition Algorithm, Two-Digit Decimals
- Base Ten Blocks, Decimal Subtraction L1 (Guided)
- Two-Digit Decimal Subtraction L1
- Two-Digit Decimal Subtraction L2
- Subtraction Algorithm, Two-Digit Decimals
Section 4: Word Problems with Decimals
- How much? L1
- How much change? L1
- How much change? L2
- Decimal Word Problems, Add & Subtract
Unit 6: Geometry
Recognize basic two-dimensional figures. Measure and classify angles. Classify triangles and quadrilaterals based on their sides and angles.
Section 1: Two-Dimensional Figures
- Identify Line, Line Segment, Ray, Angle
- Parallel / Perpendicular / Intersecting
- Identify Smaller or Larger Angle
- Draw a Smaller / Larger Angle
- Measuring Angles with a Protractor (Basic)
- Acute / Obtuse Angles
- Acute / Right / Obtuse / Straight Angles
- Basic Angle Addition and Subtraction
Section 2: Shapes
- Lines of Symmetry (Justify)
- Lines of Symmetry (MC)
- Scalene, Isosceles, Equilateral Triangles
- Acute, Right, Obtuse Triangles
- Is It a Rectangle?
- Classify Quadrilaterals (Appearance)
- Statements about Quadrilaterals L1
Class Introduction Video
Coming soon…
Taught From a Christian Perspective
Our mission is to equip learners’ minds and shepherd their hearts. We want them to have saving faith in our Lord Jesus Christ and then develop a biblical worldview. This means they view their world, themselves, and God in a way that aligns with what the Bible teaches. This brings great peace and understanding to the believer because we serve a good, sovereign God. This course is taught with these goals in mind. In class, we may pray, read scripture, and discuss how to view the content from a Christian perspective.
We have adopted The Master’s Seminary Doctrinal Statement.
MATH:
God has created our brains with the ability to study and comprehend amazing, complex things! Math is such a unique subject to study and master. We can see math in God’s creation, and we can appreciate His order through the complex skills we learn.
Philosophy of Mathematics Learning:
At Lemons-Aid Learning, we believe mathematics education should build both deep understanding and lasting confidence. Our approach combines the best of proven methodologies to create a complete learning experience that serves every type of learner.
Mastery with Spiral Support: We use mastery-based curricula that allow students to deeply understand concepts before moving forward, but we enhance this with intentional spiral review in our live classes. This means students gain true mastery while keeping previous skills fresh and connected—avoiding both the shallow coverage of pure spiral curricula and the “forgetting gap” that can occur with mastery-only approaches.
Conceptual Understanding with Procedural Fluency: Our students learn the “why” behind mathematical concepts through visual models, manipulatives, and clear explanations, then develop speed and accuracy through targeted practice. This dual approach ensures they can both solve problems creatively and execute procedures confidently—essential for success in higher mathematics.
Emotional and Spiritual Growth: We recognize that mathematics often triggers anxiety and frustration. Our classes provide a safe, supportive environment where students learn they can “do hard things” through Christ’s strength. We address math anxiety head-on with encouragement, multiple pathways to understanding, and the biblical truth that God has designed our minds for complex thinking and problem-solving.
Complete Support System: While our carefully chosen curricula provide excellent instruction, our live classes add the human element students need: immediate help with challenging concepts, accountability for consistent practice, test preparation, real-world applications, and the joy of learning alongside peers who share their faith.
Mathematics reveals God’s order, beauty, and design throughout creation. As students master mathematical concepts, they’re not just preparing for the next grade level—they’re developing logical thinking, perseverance, and wonder at the intricate patterns woven throughout God’s world.
✨ 🍋 ✨ Why Lemons-Aid? ✨ 🍋 ✨
A BIBLICAL WORLDVIEW: The Bible, infallible and inerrant, is the very written word of God, who has revealed Himself to man. The Bible is like the light we cast on all content areas in order to understand it, whether that be literature, physical science, history, or geometry. Students learn all content through a Biblical lens. Theology is important for understanding all subject areas. We carefully curate courses that capture learners’ imagination while pointing them to God through sound doctrine. THIS is most important!
RICH CONTENT / CORE KNOWLEDGE: While other schools and systems try to align their content to broad standards that are vague and open to wild interpretations, we focus our content on what students should know and be able to do so they see the world biblically and head into their adult lives filled with knowledge, wisdom, and mastery of skill such as computing and writing. For over a century, progressive education reform has been “anti-content,” which means they de-emphasize rich content and focus instructional time on things such as self-esteem and “skills” they hope will benefit a learner in the future. This is why American kids do so poorly in testing compared to nations with content-rich curricula. We want our learners to increase in knowledge and grow in wisdom, which our content-area experts foster while teaching.
EXPLICIT TEACHING: We understand the skills and concepts students need to learn and know how to teach them. Lemons-Aid’s materials are top-notch, organized, and clear for students and parents to understand. We are especially skilled at breaking down a complicated process into understandable parts. Further, explicit instruction is “a structured, systematic, and effective methodology for teaching academic skills. It is called explicit because it is an unambiguous and direct approach to teaching that includes both instructional design and delivery procedures. Explicit instruction is characterized by a series of supports or scaffolds, whereby students are guided through the learning process with clear statements about the purpose and rationale for learning the new skill, clear explanations and demonstrations of the instructional target, and supported practice with feedback until independent mastery has been achieved.”
- Explicit Instruction: Effective and Efficient Teaching by Anita L. Archer and Charles A. Hughes.
Anita Archer trained Mrs. Lemons in workshops, and it changed her teaching. Read a little more about the research behind explicit teaching here and here.
STUDENT ACCOUNTABILITY = ACHIEVEMENT: Students master skills with us and make gains. We have a high degree of accountability. Since we make promises here and parents are paying good money, we understand you trust us to work! Students have to work too, and let’s be honest: they’re kids and don’t always want to. We push it. We teach them how to stay engaged, we cold-call on kids, we tell them to use the chatbox, and we want them to use emojis! If they are resistant, we contact the student through the teacher tab first. If that doesn’t work, we call in the big guns–Mom and Dad. We want kids to learn. We don’t want them to pass through our classes without gaining skills and doing great learning.
DO HARD THINGS. Boost your confidence, master new skills, learn new concepts. This takes a commitment to do hard things. Like the standards we have for our teachers, we also expect our learners to do hard things, whether that means they stand firm in their convictions, learn geometry, write an essay, or give an oral presentation. You can do hard things!
HEALTHY RELATIONSHIPS: To balance our high expectations for their learning and behavior, we build relationships with them. We want them to know we care about and know them. We’ll ask about their play last weekend or the new trick they’re trying to master on the skateboard. We also want students to get to know each other and encourage community engagement.
DEPENDABLE: Multiple teachers are teaching this class, and we have an entire year of lessons planned and scheduled. Since we are a mission-driven organization, we protect our brand and the relationships with our families. We are accountable to our learners. When things come up for teachers, we work to get substitutes and do everything we can before canceling a class. We do not like canceling or changing, and we often teach classes at a loss to give others a chance to join. We have limits, of course, but we are not flippant or irresponsible about canceling! When things come up for students, since we have multiple sections, they can transfer from section to section. All our teachers teach the same content the same week, giving families even more flexibility!
TEACHER FEEDBACK: The back-and-forth work between a student and teacher significantly benefits a student if done well. We follow best practices in designing class time, assignments, and routines. According to Pennington Publishing, effective writing feedback (or grading) is:
- Specific, not general
- Immediate, not postponed
- Routine with a revision / feedback cycle
- Explanatory
- The right amount
- Targeted to the most critical issues
- Varied (written, audio, and video comments)
- Holding students accountable
WORKSHOP TIME: We use “workshop time” so students will work while the teacher answers questions, gets them started, and holds them accountable. In a writing class, the teacher “visits” learners on their Google Documents and watches and helps them write. The immediacy of the feedback/revision cycle with the instructor allows writers to improve rapidly. Additionally, once we started using this method in writing classes, we saw nearly a 100% completion rate in student essays!
GRAPHIC ORGANIZERS: Students need graphic organizers to help them see the structure and breakdown of a concept or process. For example, we use them to help learners understand how to write a paragraph or essay and to use the writing process. This is how they learn to develop coherent ideas. They don’t figure out how to do this magically; the graphic organizers and the intentional, explicit teaching help them learn the skills!
STUDENT MASTERY: Each class includes explicit, direct instruction with teacher modeling. Students are guided toward mastery of skills and understandings to grasp the concepts and become independent. Students are held to a high standard of academic work, including often ignored skills like the use of grammar and neatness in math.
STUDY THE BEAUTIFUL
We are surrounded by the mediocre, which is not good! We see this in expectations at some schools, the poor customer service at a store, and even architecture like in a gray, uninspiring complex of high-occupancy housing.
In contrast, we are surrounded by the beautiful, which is good! We see the beautiful in classic literature, music, and beautiful architecture like pictured here.
The mediocre demoralizes learners while the beautiful inspires.
At Lemons-Aid Learning, we study the beautiful: classic literature, artful sentence construction, art, poetry, maths, God’s hand in all of history, and God’s very creation. His creation glorifies Him, and in our study of all content areas, we learn about who God is.
We do not compromise. This means we don’t choose a graphic novel of Shakespeare’s A Midsummer Night’s Dream. We read the original play. We know how to make the complexity and beauty of classic study approachable and understandable to a modern audience. It’s more difficult, but worth the effort!
CUSTOMER SERVICE
We serve the Lord and we work hard for families. We work to give quick responses to questions, authentic and careful feedback, and to solve any conflict. As home educators ourselves, familiar with the joys and struggles of teaching our own children, we can relate! We are supporting families, equipping learners, and serving Christ. We are 100% devoted to Him and to you!
To read more about our teaching and learning methods, read our blogs, written by our teachers and staff.
The Lemons-Aid Team
Lemons-Aid teachers have a few things in common.
❤️ They love their students and value each of their unique strengths and personalities that make our classes special. Our classes can be described as fun, personal, academic, challenging, and supportive.
🤩 We work to keep learners engaged, so there is always a degree of student accountability for their attention and focus, whether that be through asking them direct questions or by using the chatbox.
💭 We know all kids can learn, but sometimes things are hard! To support students, we teach them how to develop effective thinking and learning habits that will bring them success in class and in life.
🌟 Building relationships with students so they know we care about them helps us balance the high expectations we have for them regarding their effort, work quality, and behavior. Our students are encouraged, cared for, and they achieve!
Christian Teachers on Outschool
Lemons-Aid Coupon Code:
We want to serve you on Lemons-Aid! For first-time learners on Lemons-Aid, you can use the coupon code Newbie20 to get $20 off your first class.
Outschool Coupon Code:
If the schedule on this platform doesn’t work for you, we will happily teach you on Outschool, but we can’t talk about Jesus. Use this referral code and get $20 off your first class on Outschool: LEMONSA2020
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