Semester A

Unit 1: Ratios

An introduction to ratios and the ratio concept, including visual models and contexts.

Section 1: Intro to Ratios

1. Intro to Ratios (Level 1)
2. Intro to Ratios (Level 2)
3. Equivalent Ratios
4. Simplifying Ratios
5. Using Ratio Language

Section 2: Ratios on a Double Number Line

1. Double Number Line (Counting Up)
2. Double Number Line: Scaling Up
3. Double Number Line: Scaling Down
4. Double Number Line: Scaling Up & Down

Section 3: Applying Ratios

1. Which is More? Ratio Concept (Level 1)
2. Which is More? Ratio Concept (Level 2)
3. Tables of Equivalent Ratios
4. Tables of Equivalent Ratios with Plotting

Unit 2: Arithmetic

Add, subtract, multiply, and divide decimals and fractions. Find the greatest common factor and least common multiple for a pair of numbers.

Section 1: Adding & Subtracting Decimals

1. Visual Decimal Addition
2. Addition Algorithm, Two-Digit Decimals
3. Addition Algorithm, Three-Digit Decimals
4. Decimal Subtraction: Removal
5. Decimal Subtraction: Distance

Section 2: Multiplying Decimals

1. Area Model: Whole Number × Decimal
2. Multiplication Algorithm: 2-Digit × 1-Digit (Level 1)
3. Multiplication Algorithm: 2-Digit × 1-Digit (Level 2)
4. Multiplication Algorithm: Decimal, 2-Digit × 2-Digit

Section 3: Common Factors

1. Greatest Common Factor (Level 1)
2. Greatest Common Factor (Level 2)
3. Least Common Multiple (Level 1)
4. Least Common Multiple (Level 2)
5. Distribution (Whole Number) Multiple Choice

Section 4: Multiplying, Dividing, & Ordering Fractions

1. Multiplying Fractions
2. Fraction Division (Tape Diagram)
3. Dividing Fractions (Level 1)
4. Dividing Fractions (Level 2)
5. Convert Improper Fractions / Mixed Numbers
6. Dividing Mixed Numbers
7. Fraction Word Problem Strategies
8. Applying Fraction Division
9. Order Fractions

Unit 3: Rates & Percents

An introduction to rate, unit rate, and percent, with applications involving parts of a whole.

Section 1: Unit Rates

1. Intro to Unit Rates
2. Unit Rates: Reasoning Down (Level 1)
3. Unit Rates: Reasoning Down (Level 2)
4. Unit Rates: Reasoning Up
5. Applying Unit Rates

Section 2: Percents

1. Percent (Quartiles)
2. Percent (Deciles) Guided
3. Proportional Reasoning with Percents
4. Percent of a Whole

Unit 4: Exponents, Expressions, & Equations

Evaluate and simplify expressions with and without variables. Solve one-step equations for a given variable.

Section 1: Exponents & Order of Operations

1. Rewriting Exponents: Expanding
2. Rewriting Exponents: Condensing
3. Evaluating Expressions with Exponents (Level 1)
4. Evaluating Expressions with Exponents (Level 2)

Section 2: Expressions with Variables

1. Words to Expressions
2. Evaluate Expressions
3. Distribution Area Model (Algebraic)
4. Distributive Property (Basic)
5. Equivalent Expressions: Combining Like Terms

Section 3: Equations

1. Value that Makes Equation True
2. Tape Diagram Model – Linear Equations
3. One-Step Equations: Addition & Subtraction
4. One-Step Equations: Multiplication & Division
5. One-Step Equations with Decimals
6. Percent of Whole Word Problems

Unit 5: Negative Numbers

Interpret negative numbers in context and on a number line. Plot and identify points on the coordinate plane.

Section 1: Interpreting Negative Numbers

1. Interpretation of Signed Numbers
2. Plot Integers on a Number Line
3. Numbers on a Number Line: Least & Opposite
4. Plot Numbers on a Number Line (Level 1)
5. Plot Numbers on a Number Line (Level 2)
6. Absolute Value

Section 2: Ordering Numbers

1. Greater or Less Than on a Number Line
2. Order Integers
3. Order Signed Numbers (Level 1)
4. Order Signed Numbers (Level 2)

Section 3: Coordinate Plane

1. Intro to Plotting Points
2. Plotting Points – Change of Scale
3. Plotting Points
4. Identifying Points (Level 1)
5. Identifying Points (Level 2)
6. Horizontal/Vertical Distance
7. Points Reflected Over an Axis

Unit 6: Geometry

Find the area of shapes by breaking them into simpler shapes. Explore surface area and volume of three-dimensional figures, including rectangular prisms and pyramids.

Section 1: Area

1. Area of a Triangle (Interactive)
2. Area of Triangles
3. Area of Composite Shapes
4. Area of a Triangle on a Coordinate Grid

Section 2: Surface Area & Volume

1. Prisms, Pyramids, & Nets (Level 1)
2. Prisms, Pyramids, & Nets (Level 2)
3. Surface Area from a Net (Level 1)
4. Volume of Rectangular Prisms

Unit 7: Statistics

Work with data displayed in dot plots and histograms. Explore the center and spread of a data set, with attention to mean, median, and range.

Section 1: Data Displays

1. Create Frequency Table
2. Interpret Dot Plots
3. Interpret Histograms
4. Create Histograms

Section 2: Measures of Center & Variation

1. Find the Mean & Median
2. Find the Mode in Data Displays
3. Find the Mean or Median in Data Displays
4. Find the Range in Data Displays

Semester B

Unit 8: Proportional Relationships

Create and identify scaled figures and apply concepts of scale to problems involving unit rate and proportional reasoning.

Section 1: Scale

1. Scaled Figures (Level 1)
2. Scaled Figures (Level 2)
3. Create Scaled Drawings on a Grid (Level 1)
4. Create Scaled Drawings on a Grid (Level 2)
5. Find the Scale Factor (Level 1)
6. Scaling Numbers (Level 1)
7. Scaling Numbers (Level 2)
8. Find the Scale Factor (Level 2)
9. Scale Word Problems

Section 2: Unit Rates

1. Finding Unit Rates (Guided)
2. Unit Rate, Reasoning Down
3. Unit Rate, Reasoning Up
4. Unit Rate, Reasoning Up (Decimals)
5. Unit Rate, Reasoning Up & Down (Guided)
6. Unit Rate, Reasoning Up and Down
7. Proportional Reasoning
8. Proportional Reasoning with Units (Guided)

Section 3: Proportional Representations

1. Constant of Proportionality from Context
2. Proportional Reasoning (Fractions & Decimals)
3. Comparing Rates with Conversions
4. Proportional Representations
5. Interpret Features of a Proportional Graph
6. Interpret Features of a Proportional Graph (Level 2)
7. Equation of a Proportional Graph
8. Proportional Equation with Table/Context
9. Compare Rates of Change in Proportional Representations

Unit 9: Operations with Rational Numbers

Add, subtract, multiply, and divide rational numbers (positive and negative integers, fractions, and decimals).

Section 1: Adding & Subtracting Integers

1. Signed Numbers on a Number Line
2. Adding Integers on a Number Line
3. Adding Integers (No Number Line)
4. Subtraction of Integers (Distance on Number Line)
5. Subtraction as Adding the Opposite (Rewrite)
6. Subtraction as Adding the Opposite
7. Subtracting Integers (No Number Line)
8. Combining Integers on a Number Line (Level 1)
9. Combining Integers on a Number Line (Level 2)
10. Applied Net Change

Section 2: Decimals & Fractions

1. Subtraction of Signed Decimals (Distance on Number Line)
2. Add & Subtract Fractions (Level 1)
3. Add & Subtract Fractions (Level 2)
4. Add & Subtract Mixed Numbers
5. Multiply & Divide Fractions
6. Multiply & Divide Fractions & Mixed Numbers
7. Multiplying Fractions Word Problems (Level 1)
8. Multiplying Fractions Word Problems (Level 2)
9. Convert Fractions to Decimals
10. Convert Terminating Decimals to Fractions
11. Convert Repeating Decimals to Fractions
12. Compound Fractions
13. Mixed Operations with Rational Numbers (Level 1)
14. Mixed Operations with Rational Numbers (Level 2)

Unit 10: Percents

Build on the basic concept of percents to develop “percent more” and “percent less.”

Section 1: Basic Percents

1. Percent (Deciles)
2. Scaling Percents
3. Estimating Line Ratios
4. Proportional Reasoning, Percents (Intro)
5. Proportional Reasoning, Percents (Level 1)
6. Proportional Reasoning, Percents (Level 2)
7. Convert Fraction/Decimal/Percent
8. Decimal Percent of a Whole
9. Which is More? (Percent Comparison)

Section 2: Percent More or Less

1. Percent More or Less Multiplier (Level 1)
2. Percent More or Less Multiplier (Level 2)
3. Result of Percent Increase/Decrease (Intro)
4. Result of Percent Increase/Decrease
5. Percent More or Less Word Problems
6. Find Percent Increase/Decrease in Context
7. Percent More or Less Expressions
8. Multistep Percent More or Less
9. Percent Error

Unit 11: Expressions, Equations, & Inequalities

Use mathematical properties to simplify algebraic expressions. Solve one- and two-step equations and inequalities, both algebraically and in context.

Section 1: Equivalent Expressions

1. Combine Like Terms (Basic, Integers)
2. Distribution Area Model (Level 1)
3. Distributive Property
4. Distribution Area Model (Level 2)
5. Distribute a Negative
6. Add & Subtract Binomials
7. Simplify Expressions with Distribution

Section 2: Solving Equations

1. One-Step Equations with (Positive) Whole Numbers
2. Match Equation to Tape Diagram Model
3. Two-Step Equations
4. Two-Step Equations with Decimals
5. Two-Step Equations with Fractional Coefficients (Level 1)
6. Two-Step Equations with Fractional Coefficients (Level 2)
7. Solve Equations in Context (Unwinding)
8. Matching Contexts, Equations, & Tape Diagrams

Section 3: Solving Equations with Distribution

1. Tape Diagram Model – Equations with Distributive Property
2. Tape Diagram Model – Equations with Distributive Property (Level 2)
3. Equations with Distribution (Level 1)
4. Equations with Distribution (Level 2)

Section 4: Inequalities

1. Algebraic Inequalities Intro
2. Algebraic Inequalities (Level 1)
3. Algebraic Inequalities (Level 2)
4. One-Step Inequalities (Level 1)
5. One-Step Inequalities (Level 2)
6. Determining Whether an Integer Satisfies an Inequality
7. Values that Make an Inequality True
8. Linear Inequality & Number Line
9. Solve Inequalities in Context (Unwinding)
10. Matching an Inequality to a Context

Unit 12: Geometry

Explore angle relationships (vertical, adjacent, complementary). Find the area and circumference of circles and the surface area and volume of three-dimensional figures.

Section 1: Angle Relationships & Triangle Inequality

1. Drawing Angles
2. Identifying Angles from Three Points
3. Identifying Angles with Terminology
4. Measuring Linear Pairs with a Protractor
5. Vertical, Adjacent, & Complementary Angles (Level 1)
6. Vertical, Adjacent, & Complementary Angles (Level 2)
7. The Triangle Inequality

Section 2: Circles

1. Finding Circumference (in terms of π)
2. Finding Circumference (approximate)
3. Finding Radius/Diameter from Circumference
4. Area of a Circle (in terms of π)
5. Area of a Circle (rounded)
6. Area of Irregular Shapes
7. Circumference & Area of a Circle

Section 3: Three-Dimensional Figures

1. Surface Area of Rectangular Prisms
2. Surface Area of Cylinders
3. Identify Cross Sections of Solids
4. Volume of Rectangular Prisms (Visually)

Unit 13: Statistics & Probability

Explore and apply probability to make predictions. Interpret and compare multiple sets of data.

Section 1: Probability & Counting

1. Probability Language (Level 1)
2. Probability Language (Level 2)
3. Simple Probability
4. Expected Value
5. Fundamental Counting Principle
6. Permutations

Section 2: Representations of Data

1. Interpreting Box Plots (Level 1)
2. Interpreting Box Plots (Level 2)
3. Interpreting Mixed Representations
4. Center & Spread Visually
5. Comparing Representations of Data

Class Introduction Video

Coming soon…

✨ 🍋 ✨ Why Lemons-Aid? ✨ 🍋 ✨

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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!

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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.

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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.

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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.

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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!

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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.

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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!

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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

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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!

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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!

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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.

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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!

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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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