4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who are new to fractions or need support in understanding what fractions actually represent

Before This Session: Students may see fractions as confusing parts instead of numbers, struggle to place them on a number line, or misunderstand how the size of the whole affects value.

After This Session: Students will confidently understand fractions as numbers, represent them using models and number lines, and explain how fractions relate to real-world situations.

What Students Will Gain

• Understand fractions as numbers, not just parts of a whole

• Represent fractions using models, number lines, and symbols

• Compare fractions using reasoning, not memorization

• Explain how fractions relate to real-world situations

Confidence Builder

• Build confidence, understanding what fractions mean, so students can make sense of problems instead of guessing

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding fractions as numbers and representing them in multiple ways, including models and number lines.

Objective: Students will understand fractions as numbers that can be represented, compared, and explained using visual models, number lines, and real-world contexts.

Day 1: Build

• Explore fractions as parts of a whole using visual models

• Identify unit fractions and build fractions from them

• Use area models (circles, rectangles) to represent fractions

• Discuss how the size of the whole impacts the fraction

Day 2: Build → Bridge

• Represent fractions on a number line

• Understand fractions as numbers between whole numbers

• Compare fractions with the same numerator or denominator

• Use reasoning to explain which fraction is greater

Day 3: Apply

• Solve problems involving fraction models and number lines

• Compare fractions using visual and numerical strategies

• Connect fractions to real-world situations (sharing, measurement)

• Explain reasoning and justify solutions

Day 4:Strengthen (or Apply → Extend if needed)

• Solve more complex comparison problems

• Identify and correct common errors in fraction thinking

• Use multiple representations to explain the same fraction

• Strengthen reasoning through discussion and written explanations

Common Misconception: Students believe larger denominators mean larger fractions (e.g., thinking 1/8 is greater than 1/4 because 8 is greater than 4).

Success Check: Students can represent fractions using models and number lines, compare fractions using reasoning, and explain how fractions relate to real-world situations.

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support understanding how fractions can represent the same value in different forms

Before This Session: Students may not recognize that different fractions can represent the same value or struggle to generate equivalent fractions without guessing.

After This Session: Students will confidently create, recognize, and simplify equivalent fractions and explain why different fractions represent the same value.

What Students Will Gain

• Understand how fractions can represent the same value in different forms

• Generate equivalent fractions using models and reasoning

• Simplify and compare fractions with confidence

• Explain why fractions are equivalent using visual and numerical strategies

Confidence Builder

• Build confidence recognizing and creating equivalent fractions so students can compare and solve problems without guessing

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding equivalent fractions and how different fractions can represent the same value using models, multiplication, and division.

Objective: Students will understand how to generate and recognize equivalent fractions using visual models and numerical strategies, and explain why fractions are equivalent.

Day 1: Build

• Use visual models (area models, fraction bars) to explore equivalent fractions

• Identify fractions that represent the same value

• Build equivalent fractions using multiplication

• Discuss how the size of the whole remains constant

Day 2: Build → Bridge

• Generate equivalent fractions using multiplication and division

• Connect visual models to numerical strategies

• Simplify fractions to their simplest form

• Explain how multiplying or dividing affects numerator and denominator

Day 3: Apply

• Solve problems involving equivalent fractions

• Compare fractions by finding common equivalents

• Use equivalent fractions to support reasoning

• Explain thinking and justify solutions

Day 4: Strengthen (or Apply → Extend if needed)

• Solve more complex equivalence problems

• Identify and correct common errors

• Compare multiple strategies for generating equivalent fractions

• Strengthen reasoning through discussion and written explanations

Common Misconception: Students believe that multiplying or dividing only one part of the fraction changes the value correctly, instead of applying the same operation to both numerator and denominator.

Success Check: Students can generate equivalent fractions, simplify fractions, and explain why different fractions represent the same value using models and reasoning.

5 Day Learning Cycle

• $150 per student

• Small Group (4–6 students)

• 5 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support or want to strengthen their understanding of adding and subtracting fractions, especially with unlike denominators

Before This Session: Students may try to combine numerators and denominators incorrectly or feel confused when working with unlike denominators.

After This Session: Students will confidently add and subtract fractions with unlike denominators and explain why common denominators are necessary.

What Students Will Gain

• Add and subtract fractions with unlike denominators

• Understand why common denominators are needed

• Solve multi-step fraction problems with confidence

• Explain strategies using models and reasoning

Confidence Builder

• Build confidence solving fraction problems by understanding how fractions combine instead of memorizing steps

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding how to add and subtract fractions by creating equivalent fractions with common denominators and applying this to real-world situations.

Objective: Students will understand how to add and subtract fractions with unlike denominators by using equivalent fractions and explain why the process works.

Day 1: Build

• Review equivalent fractions

• Explore why fractions must have common denominators to combine

• Use visual models (fraction bars, area models) to add fractions

• Discuss meaning of combining parts

Day 2: Build → Bridge

• Find common denominators using multiples

• Convert fractions into equivalent forms

• Connect visual models to numerical procedures

• Solve simple addition problems with unlike denominators

Day 3: Apply

• Add fractions with unlike denominators

• Subtract fractions using equivalent fractions

• Solve problems using visual and numerical strategies

• Explain reasoning and justify solutions

Day 4: Apply → Extend

• Solve multi-step problems involving fraction addition and subtraction

• Work with mixed numbers

• Apply fraction operations to real-world situations

• Compare different solution strategies

Day 5: Strengthen (or Apply → Extend if needed)

• Analyze and correct common errors

• Solve more complex problems involving multiple steps

• Strengthen fluency with fraction operations

• Clearly explain thinking using math language

Common Misconception: Students try to add or subtract fractions by combining numerators and denominators directly (e.g., 1/2 + 1/3 = 2/5), instead of creating equivalent fractions with a common denominator.

Success Check: Students can accurately add and subtract fractions with unlike denominators, solve real-world problems, and explain why common denominators are necessary.

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support or want to strengthen their understanding of multiplying fractions and how it impacts the size of a number

Before This Session: Students may believe multiplication always makes numbers larger or struggle to understand what multiplying fractions actually represents.

After This Session: Students will confidently multiply fractions and explain how multiplication changes the size of a quantity using models and reasoning.

What Students Will Gain

• Understand multiplication of fractions as scaling

• Multiply fractions and whole numbers accurately

• Use visual models to represent fraction multiplication

• Explain how and why fraction multiplication works

Confidence Builder

• Build confidence multiplying fractions by understanding what the numbers represent instead of relying on rules

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding fraction multiplication as scaling and using models and strategies to solve problems accurately.

Objective: Students will understand how to multiply fractions and whole numbers using visual models and numerical strategies, and explain how multiplication affects the size of quantities.

Day 1: Build

• Use area models to represent multiplication of fractions

• Explore multiplication as “part of a part”

• Multiply fractions by whole numbers using models

• Discuss how multiplication can make numbers smaller or larger

Day 2: Build → Bridge

• Transition from models to numerical multiplication

• Multiply fractions by fractions using visual and numeric strategies

• Connect area models to multiplication procedures

• Discuss how numerators and denominators change

Day 3: Apply

• Solve problems involving multiplication of fractions

• Apply fraction multiplication to real-world contexts

• Compare strategies and determine efficiency

• Explain reasoning and justify solutions

Day 4: Strengthen (or Apply → Extend if needed)

• Simplify products of fractions

• Analyze and correct common errors

• Solve multi-step problems involving fraction multiplication

• Clearly explain thinking using math language

Common Misconception: Students believe multiplication always makes numbers larger and struggle to understand how multiplying fractions can result in a smaller value.

Success Check: Students can accurately multiply fractions and explain how multiplication impacts the size of a quantity using models and reasoning.

5 Day Learning Cycle

• $150 per student

• Small Group (4–6 students)

• 5 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support or want to strengthen their understanding of dividing fractions, especially if they rely on memorizing rules without understanding

Before This Session: Students may rely on memorizing “invert and multiply” without understanding it, leading to confusion and mistakes.

After This Session: Students will confidently divide fractions, explain why the process works, and apply it to real-world situations.

What Students Will Gain

• Understand division of fractions conceptually (not just rules)

• Divide fractions and whole numbers accurately

• Use models to explain fraction division

• Solve real-world problems involving division of fractions

Confidence Builder

• Build confidence dividing fractions by understanding why the process works instead of memorizing “invert and multiply”

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding division of fractions as determining how many groups or how much of one quantity fits into another.

Objective: Students will understand how to divide fractions using visual models and reasoning, and connect this understanding to the standard algorithm.

Day 1: Build

• Explore division as grouping and sharing

• Use visual models (fraction bars, number lines) to divide fractions

• Solve simple division problems conceptually

• Discuss meaning of division in real-world contexts

Day 2: Build → Bridge

• Model division of fractions using visual representations

• Connect models to numerical reasoning

• Explore patterns when dividing fractions

• Begin developing the “invert and multiply” idea conceptually

Day 3: Apply

• Divide fractions and whole numbers using models and strategies

• Apply division to real-world situations

• Compare different solution methods

• Explain reasoning and justify solutions

Day 4: Apply → Extend

• Use the standard algorithm (invert and multiply)

• Connect the algorithm to conceptual understanding

• Solve multi-step problems involving fraction division

• Compare efficiency of strategies

Day 5: Strengthen (or Apply → Extend if needed)

• Analyze and correct common errors

• Solve complex, multi-step problems

• Strengthen fluency with fraction division

• Clearly explain thinking using math language

Common Misconception: Students memorize “invert and multiply” without understanding why it works, leading to confusion and errors when solving problems.

Success Check: Students can accurately divide fractions, explain why the algorithm works, and apply fraction division to real-world situations.

3 Day Learning Cycle

• $90 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who struggle to solve multi-step problems or don’t know where to start

Before This Session: Students may feel overwhelmed by multi-step problems, struggle to identify what the question is asking, or not know how to begin.

After This Session: Students will confidently break down multi-step problems, identify key information, and solve problems step by step while clearly explaining their reasoning.

What Students Will Gain

• Break down multi-step problems into manageable steps

• Identify key information and operations

• Use strategies to solve complex problems

• Explain reasoning clearly

Confidence Builder

• Build confidence solving multi-step problems by learning how to approach problems step by step instead of guessing

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Developing strategies to break down and solve multi-step problems using reasoning and structure.

Objective: Students will analyze multi-step problems, determine appropriate strategies, and solve them while explaining their thinking.

Day 1: Build

• Identify key information in word problems

• Understand how to break problems into steps

• Recognize operation clues

Day 2: Apply

• Apply strategies to multi-step problems

• Organize work using models or diagrams

• Connect steps logically

Day 3: Apply

• Solve multi-step real-world problems

• Explain reasoning and justify solutions

• Check for accuracy and completeness

Common Misconception: Students try to solve problems quickly without understanding all parts of the problem.

Success Check: Students can break down and solve multi-step problems and clearly explain their reasoning.

3 Day Learning Cycle

• $95 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support understanding measurement units and how to convert between them

Before This Session: Students may confuse measurement units, rely on memorization for conversions, or struggle to apply measurement in real-world situations.

After This Session: Students will confidently convert between units, understand relationships within measurement systems, and apply measurement to solve real-world problems.

What Students Will Gain

• Understand measurement units and relationships

• Convert between units accurately

• Solve real-world measurement problems

• Explain reasoning clearly

Confidence Builder

• Build confidence working with measurement by understanding unit relationships instead of memorizing conversion rules

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding measurement systems and converting between units using reasoning.

Objective: Students will convert measurement units and apply their understanding to solve real-world problems.

Day 1: Build

• Explore measurement units (length, weight, volume)

• Understand relationships between units

Day 2: Build → Bridge

• Convert between units using models and reasoning

• Solve simple conversion problems

Day 3: Apply

• Solve real-world measurement problems

• Explain reasoning and justify solutions

Common Misconception: Students treat conversions as memorization instead of understanding relationships between units.

Success Check: Students can convert units and apply measurement concepts to real-world problems.

3 Day Learning Cycle

• $90 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support in interpreting graphs and understanding data

Before This Session: Students may read graphs at a surface level, focus on isolated numbers, or struggle to interpret what data actually means.

After This Session: Students will confidently analyze graphs, identify patterns and trends, and explain conclusions using data as evidence.

What Students Will Gain

• Read and interpret graphs and charts

• Analyze data to draw conclusions

• Represent data visually

• Explain findings clearly

Confidence Builder

• Build confidence analyzing data by understanding how to interpret information instead of guessing

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Interpreting and representing data using graphs and charts.

Objective: Students will analyze data, create visual representations, and explain their conclusions.

Day 1: Build

• Explore different types of graphs

• Understand what data represents

Day 2: Build → Bridge

• Interpret data from graphs and charts

• Identify trends and patterns

Day 3: Apply

• Create graphs and analyze data

• Explain conclusions using evidence

Common Misconception: Students focus on isolated numbers instead of interpreting overall trends in data.

Success Check: Students can interpret, represent, and explain data clearly.

3 Day Learning Cycle

• $95 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support understanding shapes, space, and geometric reasoning

Before This Session: Students may recognize shapes but struggle to understand their properties, relationships, or how geometry applies to problem solving.

After This Session: Students will confidently analyze shapes, understand spatial relationships, and apply geometry concepts to solve problems and explain their reasoning.

What Students Will Gain

• Understand properties of shapes

• Analyze spatial relationships

• Solve geometry problems

• Explain reasoning using mathematical language

Confidence Builder

• Build confidence with geometry by understanding properties and relationships instead of memorizing definitions

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding geometric concepts and spatial reasoning.

Objective: Students will analyze shapes and spatial relationships and apply this understanding to solve problems.

Day 1: Build

• Identify and classify shapes

• Understand properties (angles, sides)

Day 2: Build → Bridge

• Analyze relationships between shapes

• Solve geometry problems

Day 3: Apply

• Apply geometry concepts to real-world situations

• Explain reasoning clearly

Common Misconception: Students memorize shape names without understanding their properties.

Success Check: Students can analyze shapes and explain their reasoning using correct mathematical language.

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support applying math skills to real-world situations

Before This Session: Students may struggle to connect math skills to real-world situations or feel unsure which strategy to use when solving unfamiliar problems.

After This Session: Students will confidently apply math concepts to real-world problems, choose effective strategies, and explain their thinking clearly and logically.

What Students Will Gain

• Apply math concepts to real-world problems

• Use multiple strategies to solve problems

• Analyze and interpret results

• Explain reasoning clearly

Confidence Builder

• Build confidence applying math by connecting skills to real-world situations instead of solving isolated problems

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Applying math skills to solve real-world problems using reasoning and multiple strategies.

Objective: Students will apply mathematical concepts to solve complex real-world problems and explain their thinking.

Day 1: Build

• Explore real-world problem types

• Identify relevant math concepts

Day 2: Build → Bridge

• Apply strategies to solve problems

• Organize work clearly

Day 3: Apply

• Solve multi-step real-world problems

• Compare strategies

Day 4: Strengthen (or Apply → Extend if needed)

• Solve complex problems

• Explain reasoning clearly

Common Misconception: Students struggle to connect math skills to real-world situations.

Success Check: Students can apply math skills to solve real-world problems and clearly explain their reasoning.

3 Day Learning Cycle

• $90 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who struggle to recognize patterns or describe how numbers change

Before This Session

• Students may see patterns as random and struggle to identify rules or explain how a sequence grows

After This Session

• Students will confidently identify patterns, describe rules, and predict future values using logical reasoning

What Students Will Gain

• Identify numerical patterns and sequences

• Describe rules using words and numbers

• Predict future terms in a pattern

• Explain reasoning clearly

Confidence Builder

• Build confidence recognizing patterns so students can begin thinking algebraically instead of guessing

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Recognizing patterns and developing rules that describe how values change

Objective: Students will identify, extend, and explain patterns using rules and reasoning

Day 1: Build

• Identify simple patterns

• Explore how numbers change

• Describe patterns using words

Day 2: Apply

• Extend patterns using rules

• Represent patterns numerically

• Connect patterns to real-world contexts

Day 3: Strengthen

• Solve complex pattern problems

• Compare different pattern rules

• Explain reasoning clearly

Common Misconception: Students focus only on individual numbers instead of identifying the pattern rule

Success Check: Students can identify, extend, and explain patterns using clear rules

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who are new to variables or struggle to understand what they represent

Before This Session: Students may see variables as confusing symbols instead of representing unknown values

After This Session: Students will confidently interpret and write expressions using variables and explain what they represent

What Students Will Gain

• Understand variables as unknown values

• Write and interpret expressions

• Represent real-world situations algebraically

• Explain reasoning clearly

Confidence Builder: Build confidence using variables so students can represent unknowns instead of avoiding them

Focus: Understanding variables and writing expressions to represent relationships

Objective: Students will write and interpret algebraic expressions using variables

Day 1: Build

• Introduce variables

• Connect variables to real-world situations

Day 2: Apply

• Write expressions

• Interpret expressions

Day 3: Apply

• Solve problems using expressions

• Represent relationships

Day 4: Strengthen

• Analyze and explain expressions

• Compare different representations

Common Misconception: Students think variables represent one fixed number instead of varying values

Success Check: Students can write and interpret expressions using variab

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support understanding how to evaluate expressions in the correct order instead of solving from left to right

Before This Session: Students may solve expressions incorrectly by working left to right without understanding structure

After This Session: Students will confidently evaluate expressions using order of operations and explain why each step is necessary

What Students Will Gain

• Evaluate expressions accurately

• Understand why order matters in math

• Use parentheses and grouping symbols correctly

• Explain each step with clear reasoning

Confidence Builder: Build confidence solving expressions by understanding structure instead of memorizing rules

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Evaluating expressions using correct mathematical structure

Objective: Students will evaluate expressions accurately and explain their reasoning using order of operations

Day 1: Build

• Explore why order matters in expressions

• Compare expressions with and without parentheses

• Identify grouping symbols and operations

• Discuss how structure changes the value of an expression

Day 2: Apply

• Evaluate expressions using order of operations

• Practice solving expressions with parentheses, multiplication, division, addition, and subtraction

• Use step-by-step reasoning to avoid left-to-right errors

• Explain why each operation is completed in order

Day 3: Apply

• Evaluate more complex expressions with multiple operations

• Create expressions that match a given value

• Compare different expressions and determine whether they are equivalent

• Justify solutions using mathematical reasoning

Day 4: Strengthen

• Analyze and correct common order-of-operations errors

• Solve real-world problems involving expressions

• Explain each step clearly using math language

• Strengthen accuracy, reasoning, and fluency

Common Misconception: Students ignore order of operations or apply it incorrectly, especially by solving expressions from left to right

Success Check: Students can evaluate expressions correctly and explain each step using order of operations

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support understanding how to solve equations and isolate unknown values instead of guessing answers

Before This Session: Students may guess solutions, feel unsure how to solve equations, or struggle to understand what the equal sign represents

After This Session: Students will confidently solve equations, isolate unknown values, and explain how each step maintains balance

What Students Will Gain

• Understand equations as balanced relationships

• Solve equations using inverse operations

• Isolate unknown values step by step

• Explain reasoning clearly using math language

Confidence Builder: Build confidence solving equations by understanding balance and structure instead of guessing

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding equations as balanced relationships and solving for unknown values using reasoning

Objective: Students will solve equations using inverse operations and explain how each step maintains equality

Day 1: Build

• Explore the meaning of the equal sign as balance

• Model equations using visual representations (balance models, diagrams)

• Identify unknown values in simple equations

• Connect equations to real-world situations

Day 2: Apply

• Solve one-step equations using inverse operations

• Represent equations visually and numerically

• Explain how each step maintains balance

• Check solutions for accuracy

Day 3: Apply

• Solve multi-step equations step by step

• Organize work to maintain clarity

• Compare different solution strategies

• Justify solutions using reasoning

Day 4: Strengthen

• Analyze and correct common equation errors

• Solve real-world problems involving equations

• Explain each step clearly using math language

• Strengthen accuracy and reasoning

Common Misconception: Students treat equations as a sequence of steps instead of understanding them as balanced relationships, leading to incorrect operations

Success Check: Students can solve equations accurately, explain each step, and demonstrate how balance is maintained throughout the process

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who need support applying algebra concepts to real-world situations or struggle to choose the right strategy when solving unfamiliar problems

Before This Session: Students may struggle to connect algebra to real-world situations or feel unsure which strategy to use when solving multi-step problems

After This Session: Students will confidently model real-world situations using algebra, choose effective strategies, and clearly explain their reasoning

What Students Will Gain

• Apply algebraic thinking to real-world problems

• Translate situations into equations and expressions

• Choose appropriate strategies to solve problems

• Explain reasoning clearly using math language

Confidence Builder: Build confidence applying algebra by connecting math concepts to real-world situations instead of solving isolated problems

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Applying algebraic thinking to solve real-world problems using reasoning and multiple strategies

Objective: Students will model real-world situations using equations and expressions, solve them, and explain their thinking clearly

Day 1: Build

• Explore real-world problem scenarios

• Identify relevant information and variables

• Determine which math concepts apply

• Represent situations using expressions or equations

Day 2: Apply

• Solve real-world problems using algebraic strategies

• Translate between words, expressions, and equations

• Organize work clearly and logically

• Check solutions for accuracy

Day 3: Apply

• Solve multi-step real-world problems

• Compare different strategies and determine efficiency

• Interpret solutions in context

• Explain reasoning using math language

Day 4: Strengthen

• Analyze and correct common errors in problem solving

• Solve complex, multi-step real-world problems

• Clearly communicate reasoning and justify solutions

• Strengthen independence and confidence

Common Misconception: Students struggle to connect algebraic expressions and equations to real-world meaning, often solving without interpreting results

Success Check: Students can model real-world problems using algebra, solve them accurately, and clearly explain their reasoning in context

3 Day Learning Cycle

• $90 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who feel stuck when starting problems or struggle to decide what steps to take when a problem is unfamiliar

Before This Session: Students may feel overwhelmed by multi-step problems, jump into solving without a plan, or rely on guessing when they don’t recognize the problem type

After This Session: Students will confidently break down problems, identify key information, and choose a clear strategy before solving

What Students Will Gain

• Identify important information in a problem

• Recognize problem types and structures

• Choose appropriate strategies (draw, model, estimate, etc.)

• Organize steps before solving

• Explain reasoning clearly

Confidence Builder: Build confidence starting problems by learning how to plan instead of guessing or getting stuck

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Developing strategies to approach and plan solutions for unfamiliar problems

Objective: Students will analyze problems, identify key information, and select effective strategies before solving

Day 1: Build

• Identify key information in word problems

• Distinguish between relevant and irrelevant information

• Explore different problem-solving strategies

• Discuss how to approach unfamiliar problems

Day 2: Apply

• Apply strategies to a variety of problem types

• Plan solutions before solving

• Use models, diagrams, or estimates to organize thinking

• Explain why a strategy was chosen

Day 3: Strengthen

• Solve unfamiliar multi-step problems independently

• Compare different strategies and determine effectiveness

• Reflect on problem-solving approaches

• Clearly explain reasoning using math language

Common Misconception: Students believe they should immediately know how to solve a problem instead of taking time to plan and analyze

Success Check: Students can break down problems, choose appropriate strategies, and explain their reasoning before and during solving

3 Day Learning Cycle

• $95 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who rely on one method to solve problems or struggle to connect different forms of math (tables, graphs, words, and numbers)

Before This Session: Students may struggle to connect different representations, rely on one approach, or feel confused when a problem is shown in a new format

After This Session: Students will confidently represent problems in multiple ways and explain how different representations are connected

What Students Will Gain

• Represent problems using tables, models, diagrams, and words

• Translate between different representations

• Recognize patterns across representations

• Choose the most effective representation for a problem

• Explain reasoning clearly

Confidence Builder: Build confidence seeing math in multiple ways instead of relying on a single method

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Understanding mathematical relationships through multiple representations

Objective: Students will represent and interpret problems using different forms and explain how they are connected

Day 1: Build

• Explore different representations (tables, diagrams, words, numbers)

• Identify how the same problem can look different

• Compare representations and discuss similarities

• Connect representations to real-world contexts

Day 2: Apply

• Translate between representations (table ↔ words, diagram ↔ equation)

• Solve problems using different representations

• Choose the best representation for a given problem

• Explain why a representation is effective

Day 3: Strengthen

• Solve problems using multiple representations

• Compare and evaluate different approaches

• Explain connections between representations clearly

• Strengthen reasoning and flexibility

Common Misconception: Students believe each representation is separate instead of understanding they all show the same relationship

Success Check: Students can represent problems in multiple ways, translate between forms, and explain how the representations are connected

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

• Students who can solve individual problems but struggle to recognize patterns or explain how a rule works across multiple situations

Before This Session: Students may focus on solving one problem at a time and struggle to identify patterns or describe general rules

After This Session: Students will confidently identify patterns, describe rules, and apply those rules to new situations using clear reasoning

What Students Will Gain

• Identify patterns in numbers and operations

• Describe rules using words and numbers

• Extend patterns to new situations

• Begin generalizing relationships

• Explain reasoning clearly

Confidence Builder: Build confidence thinking beyond one answer by recognizing patterns and forming general rules

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Recognizing patterns and developing general rules that apply across situations

Objective: Students will identify patterns, describe rules, and apply them to solve new problems

Day 1: Build

• Identify patterns in numbers and operations

• Explore how values change in sequences

• Describe patterns using words

• Connect patterns to real-world contexts

Day 2: Apply

• Extend patterns using identified rules

• Represent patterns using tables or diagrams

• Describe rules using numbers and operations

• Explain how the pattern grows or changes

Day 3: Apply

• Compare different patterns and rules

• Identify similarities and differences

• Apply rules to new situations

• Justify reasoning using clear explanations

Day 4: Strengthen

• Solve complex pattern problems

• Create and explain original patterns

• Generalize rules across multiple examples

• Strengthen reasoning and flexibility

Common Misconception: Students focus on individual answers instead of identifying the pattern or rule that connects them

Success Check: Students can identify patterns, describe rules, and apply those rules to new situations with clear reasoning

3 Day Learning Cycle

• $95 per student

• Small Group (4–6 students)

• 3 Live Sessions (45 minutes each)

• Designed for students who need support or want to build confidence in this skill

Who This Is For

Students who can solve problems but struggle to explain their thinking clearly or use precise mathematical language

Before This Session: Students may give answers without explanation, use unclear reasoning, or struggle to communicate how they solved a problem

After This Session: Students will confidently explain their thinking, justify their solutions, and use precise mathematical language

What Students Will Gain

• Clearly explain problem-solving steps

• Use correct mathematical vocabulary

• Justify answers with evidence and reasoning

• Organize written and verbal explanations

• Critique and improve explanations

Confidence Builder: Build confidence explaining thinking so students can clearly communicate how and why their solutions work

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Communicating mathematical reasoning with clarity and precision

Objective: Students will explain solutions clearly, justify their reasoning, and use appropriate mathematical language

Day 1: Build

• Explore what makes a strong mathematical explanation

• Identify clear vs unclear reasoning

• Practice using math vocabulary correctly

• Analyze sample student responses

Day 2: Apply

• Explain solutions step by step

• Use models, diagrams, and words to support reasoning

• Justify answers using evidence

• Improve explanations based on feedback

Day 3: Strengthen

• Critique and revise explanations

• Compare strong and weak responses

• Clearly communicate reasoning independently

• Strengthen clarity, precision, and organization

Common Misconception: Students believe getting the correct answer is enough and do not see the importance of explaining their reasoning

Success Check: Students can clearly explain their thinking, justify solutions, and use precise mathematical language

4 Day Learning Cycle

• $120 per student

• Small Group (4–6 students)

• 4 Live Sessions (45 minutes each)

• Designed for students who are ready to apply their skills and build confidence solving complex, multi-step problems

Who This Is For

• Students who need support bringing multiple math skills together or want to build confidence solving complex, real-world problems independently

Before This Session: Students may struggle to apply multiple skills at once, feel overwhelmed by complex problems, or rely on one strategy even when it’s not effective

After This Session: Students will confidently solve multi-step, multi-domain problems, choose effective strategies, and clearly explain their reasoning

What Students Will Gain

• Apply multiple math concepts in one problem

• Choose and adjust strategies independently

• Solve complex, multi-step problems

• Explain reasoning clearly and logically

• Evaluate and improve problem-solving approaches

Confidence Builder: Build confidence by solving complex problems by applying multiple strategies and thinking independently

Included in This Training

• Live small-group instruction

• Guided support from an instructor

• Structured practice aligned to the session

• Ongoing access to platform practice

Focus: Applying multiple math skills across domains to solve complex problems

Objective: Students will solve multi-step, real-world problems using multiple strategies and clearly explain their reasoning

Day 1: Build

• Analyze complex problem scenarios

• Identify relevant information and multiple steps

• Determine which math concepts apply

• Plan solution pathways before solving

Day 2: Apply

• Solve multi-step problems using chosen strategies

• Organize work clearly and logically

• Adjust strategies when needed

• Check solutions for accuracy

Day 3: Apply

• Solve more complex, multi-domain problems

• Compare different strategies and determine efficiency

• Interpret solutions in real-world context

• Explain reasoning clearly using math language

Day 4: Strengthen

• Solve advanced challenge problems independently

• Analyze and correct common errors

• Clearly communicate and justify solutions

• Reflect on problem-solving strategies and growth

Common Misconception: Students try to apply one strategy to all problems instead of adapting based on the situation

Success Check: Students can independently solve complex, multi-step problems, choose appropriate strategies, and clearly explain their reasoning