Algebra

A 12-lesson Tier 2 intervention unit for 6th-grade students focusing on the properties of operations (Commutative, Associative, and Distributive). Students learn to use these properties as "tools" in an "Operation Lab" to simplify multiplication and division tasks, progressing from visual models to mental math applications.

A 12-lesson Tier 2 intervention series focused on 6th-grade Expressions and Equations. Using the All Learners Network (ALN) High Leverage Concepts, students build conceptual understanding of variables, equality as balance, and the structure of expressions through number sense routines and low-floor, high-ceiling tasks.

A specialized unit focused on identifying and correcting algebraic misconceptions in function transformations, specifically reflections. Students develop critical analysis skills by acting as "Error Doctors" to diagnose and treat common mathematical pitfalls.

A lesson sequence for Algebra 2 focusing on the relationship between rational exponents and radical expressions, including conversion, simplification, and negative exponents.

A lesson sequence focusing on the transition from expanded ellipsis notation to formal Sigma notation within the context of arithmetic series proofs. Students analyze a standard proof and reformulate it using summation properties.

A lesson sequence focusing on advanced factoring techniques, specifically targeting the difference of squares with higher-degree exponents (4, 6, 8) through visual recognition and verification.

A specialized unit on advanced exponent rules, focusing on simplifying complex algebraic expressions involving fractions and negative powers.

This 8th Grade Math sequence explores the properties of triangles, focusing on the Triangle Angle Sum Theorem and its applications in algebraic problem-solving. Students progress from hands-on measurement to complex multi-step relay challenges.

A middle school algebra lesson focused on identifying terms, combining like terms, and recognizing equivalent expressions through video analysis and a matching card game.

A targeted remediation sequence focused on identifying, analyzing, and correcting high-frequency algebra errors in polynomial operations.

A series of lessons focused on mastering algebraic and numerical fractions through visual strategies and structural simplification.

A Pre-Algebra sequence focused on mastering the distributive property through visual analogies, emoji-based patterns, and color-coded modeling. Students transition from concrete sushi and emoji examples to abstract algebraic expressions.

A lesson sequence focusing on analyzing and manipulating exponential functions to reveal true growth rates, using real-world financial contexts and exponent rules.

A sequence designed for 11th-grade academic support students to master integer operations and linear equations using two-color counters and algebra tiles. This tactile approach builds conceptual understanding through zero pairs and balance models, eventually transitioning students to abstract algebraic notation.

This sequence uses two-color counters and algebra tiles to help students understand integer operations and basic algebraic equations through concrete modeling. Students progress from physical manipulation to symbolic representation, focusing on the concept of 'zero pairs'.

A concrete introduction to algebraic thinking using algebra tiles. Students move from representing variables to solving one-step equations by balancing and partitioning physical models.

A specialized sequence for 6th-grade academic support focused on visual and concrete understanding of fraction division. Students use fraction towers and pattern blocks to move from the concept of 'how many fit' to the standard algorithm, with a heavy emphasis on interpreting remainders.

A specialized math support sequence for 8th-grade students, focusing on the Concrete-Representational-Abstract (CRA) transition for linear expressions and equations using algebra tiles. Students move from mastering zero pairs with integers to solving two-step equations through physical manipulation and visual modeling.

A 4th-grade math sequence focused on mastering multi-digit multiplication using the Concrete-Representational-Abstract (CRA) framework. Students progress from physical base-ten blocks to drawn area models and numerical equations.

A visual-first approach to algebra for 7th-grade students needing academic support, focusing on sketching equations using balance scales and area models to reduce cognitive load during problem-solving.

A tier 2 intervention sequence for 6th-grade students focused on 6.EE.B (Equations and Inequalities). Built on All Learners Network (ALN) High Leverage Practices, this unit uses a 'Blueprint' theme to help students conceptually understand balancing equations, using variables, and representing constraints with inequalities.

A 12-lesson Tier 2 intervention unit for 6th-grade students focusing on the properties of operations (Commutative, Associative, and Distributive). Students learn to use these properties as "tools" in an "Operation Lab" to simplify multiplication and division tasks, progressing from visual models to mental math applications.

A 12-lesson Tier 2 intervention series focused on 6th-grade Expressions and Equations. Using the All Learners Network (ALN) High Leverage Concepts, students build conceptual understanding of variables, equality as balance, and the structure of expressions through number sense routines and low-floor, high-ceiling tasks.

A comprehensive math intervention sequence for 6th-grade students, focusing on four key domains: Numbers & Operations, Algebraic Thinking, Measurement & Data, and Geometry. This sequence uses high-leverage strategies from the All Learners Network (ALN) and aligns with i-Ready prerequisite modules to bridge conceptual gaps.

A 3-day intensive mission focusing on multi-digit multiplication, division strategies, and solving multi-step word problems with remainders. Students act as 'agents' to decode and solve mathematical challenges.

A specialized unit focused on identifying and correcting algebraic misconceptions in function transformations, specifically reflections. Students develop critical analysis skills by acting as "Error Doctors" to diagnose and treat common mathematical pitfalls.

A lesson sequence focusing on the transition from expanded ellipsis notation to formal Sigma notation within the context of arithmetic series proofs. Students analyze a standard proof and reformulate it using summation properties.

A high-level Honors Algebra lesson focused on complex recursive sequences where students analyze notation, explore the Fibonacci sequence, and engage in a 'Sequence Maker' activity to reverse-engineer formulas.

A comprehensive 9th-grade algebra unit exploring the patterns, formulas, and real-world applications of arithmetic and geometric sequences. Students progress from recursive logic to explicit modeling.

A middle school algebra lesson focused on identifying terms, combining like terms, and recognizing equivalent expressions through video analysis and a matching card game.

A lesson sequence focusing on the nuances of exponential decay, specifically distinguishing between annual rates and those occurring over non-standard time intervals like months or half-lives.

A unit focusing on algebraic foundations, moving from basic definitions of variables to solving multi-step equations and real-world applications.

A music and math integration lesson where students learn algebraic concepts through rap and create their own math-themed mnemonics or rhymes.

A Pre-Algebra sequence focused on mastering the distributive property through visual analogies, emoji-based patterns, and color-coded modeling. Students transition from concrete sushi and emoji examples to abstract algebraic expressions.

A professional development sequence designed to bridge the gap between traditional and modern math instruction for parents and guardians. This sequence focuses on visual strategies like prime factorization and factor trees to build deep conceptual understanding and algebraic thinking.

A lesson sequence focused on understanding the relationships between variables, specifically direct and inverse variation, and translating verbal descriptions into algebraic equations.

A series of lessons exploring the foundations of algebra, focusing on variables, expressions, and basic problem-solving.

A sequence focused on algebraic substitution in linear equations, moving from basic coordinate completion to complex variable isolation and graphing.

A sequence designed for 11th-grade academic support students to master integer operations and linear equations using two-color counters and algebra tiles. This tactile approach builds conceptual understanding through zero pairs and balance models, eventually transitioning students to abstract algebraic notation.

This sequence uses two-color counters and algebra tiles to help students understand integer operations and basic algebraic equations through concrete modeling. Students progress from physical manipulation to symbolic representation, focusing on the concept of 'zero pairs'.

A tier 2 intervention sequence for 6th-grade students focused on 6.EE.B (Equations and Inequalities). Built on All Learners Network (ALN) High Leverage Practices, this unit uses a 'Blueprint' theme to help students conceptually understand balancing equations, using variables, and representing constraints with inequalities.

A specialized intervention sequence designed for Algebra I students to master TEKS A2A and A6A, focusing on the domain and range of linear and quadratic functions through tiered small-group instruction.

A comprehensive math intervention sequence for 6th-grade students, focusing on four key domains: Numbers & Operations, Algebraic Thinking, Measurement & Data, and Geometry. This sequence uses high-leverage strategies from the All Learners Network (ALN) and aligns with i-Ready prerequisite modules to bridge conceptual gaps.

A 3-day math sequence for 3rd graders focused on multiplication comparisons and identifying patterns in tables using a fun Toy Factory theme.

A 3-day intensive mission focusing on multi-digit multiplication, division strategies, and solving multi-step word problems with remainders. Students act as 'agents' to decode and solve mathematical challenges.

A sequence focused on visualizing linear functions through physical movement and spatial reasoning, designed for middle school students to master slope-intercept form.

A series of lessons exploring exponential functions, their components, graphs, and real-world applications in Algebra 1.

A high-level Honors Algebra lesson focused on complex recursive sequences where students analyze notation, explore the Fibonacci sequence, and engage in a 'Sequence Maker' activity to reverse-engineer formulas.

A specialized unit exploring the geometric properties of slope, connecting algebraic rates of change to trigonometric functions and the geometry of inclination.

A comprehensive 9th-grade algebra unit exploring the patterns, formulas, and real-world applications of arithmetic and geometric sequences. Students progress from recursive logic to explicit modeling.

A lesson sequence focusing on the nuances of exponential decay, specifically distinguishing between annual rates and those occurring over non-standard time intervals like months or half-lives.

A 7th-grade math sequence focused on applying algebraic equations to real-world consumer scenarios, specifically involving discounts, sale prices, and original prices.

A lesson sequence focused on understanding the relationships between variables, specifically direct and inverse variation, and translating verbal descriptions into algebraic equations.

A foundational algebra sequence focused on linear relationships, starting with the calculation of slope and graphing equations in slope-intercept form. Students progress from conceptual understanding to procedural fluency using visual and kinesthetic activities.

A lesson sequence focusing on the geometric properties of quadratic functions, specifically using symmetry to locate key features like the vertex and axis of symmetry.

A comprehensive lesson for 8th-grade math students to distinguish between arithmetic and geometric sequences through interactive sorting and video-based analysis.

A lesson sequence focused on the critical thinking skills required to verify mathematical patterns, using geometric sequences as the primary vehicle for exploration. Students learn that initial data points can be deceptive and that rigorous verification is essential for mathematical proof and real-world predictions.

A series of lessons exploring the foundations of algebra, focusing on variables, expressions, and basic problem-solving.

A comprehensive math lesson focusing on identifying and representing relationships between numerical patterns using input/output tables and equations.

This sequence guides 9th-grade students through the transition from physical math manipulatives to virtual tools. It builds digital literacy and mathematical visualization skills, preparing students for abstract thinking and computer-based assessments.

A 3-day math sequence for 3rd graders focused on multiplication comparisons and identifying patterns in tables using a fun Toy Factory theme.

A sequence focused on visualizing linear functions through physical movement and spatial reasoning, designed for middle school students to master slope-intercept form.

A series of Algebra I support lessons designed to address fundamental misconceptions in linear functions through interactive, theme-based activities.

A specialized unit exploring the geometric properties of slope, connecting algebraic rates of change to trigonometric functions and the geometry of inclination.

A comprehensive lesson on calculating slope using both the algebraic formula and the visual rise-over-run method, featuring guided video notes and a competitive group activity.

A lesson sequence focused on understanding the relationships between variables, specifically direct and inverse variation, and translating verbal descriptions into algebraic equations.

A foundational algebra sequence focused on linear relationships, starting with the calculation of slope and graphing equations in slope-intercept form. Students progress from conceptual understanding to procedural fluency using visual and kinesthetic activities.

A comprehensive math lesson focusing on identifying and representing relationships between numerical patterns using input/output tables and equations.

This sequence utilizes base-ten blocks and area models to scaffold multi-digit multiplication and division, providing a visual and tactile framework for students who struggle with standard algorithms. By connecting physical area models to expanded form and eventually the standard algorithm, students build a conceptual foundation that supports future algebraic learning.

A math sequence for 11th Grade Special Education focusing on visual representations of functions. Students learn to interpret graphs as narratives, moving from qualitative sketches to precise quantitative analysis of slope, intersections, and non-linear trends.

A sequence for 11th-grade students that uses bar diagrams (tape diagrams) to scaffold high school algebra. Students transition from concrete visuals to abstract systems of equations, ratios, and complex word problems, providing a visual roadmap for algebraic reasoning.

This sequence supports 10th-grade students in mastering inequalities and functions through visual modeling. By progressing from 1D number lines to 2D coordinate planes, students build a concrete understanding of constraints, domain, and range using shading and geometric reasoning.

This sequence guides 4th-grade students through the progression of bar modeling (tape diagrams) to solve comparison word problems. It moves from simple part-whole relationships to additive and multiplicative comparisons, culminating in multi-step problem solving and reverse-engineering models into stories.

A comprehensive sequence focused on using bar models (tape diagrams) to bridge the gap between arithmetic reasoning and algebraic abstraction. Students progress from simple part-whole relationships to complex equations with variables on both sides and the distributive property.

This sequence uses visual tools like double number lines, slope triangles, and coordinate overlays to help 8th-grade students understand functions and rates of change. It provides concrete representations for abstract algebraic concepts, supporting students who benefit from visual and spatial reasoning.

A specialized sequence for 12th-grade students needing academic support, focusing on translating word problems into visual models. This unit bridges language processing and algebraic reasoning through sketching, geometric modeling, and diagramming.

A 9th-grade math sequence focusing on visual strategies for understanding proportions, slope, systems of equations, and inequalities. This unit supports students in academic support settings by moving from concrete double number lines to abstract coordinate graphing and region shading.

A graduate-level exploration of discrete dynamical systems, moving from linear growth models to the complex, chaotic behavior of the logistic map. Students apply recursive sequences to model biological and economic phenomena, emphasizing stability analysis and bifurcation theory.

This sequence introduces 11th-grade students to the fundamental concepts of mathematical sequences, bridging the gap between algebra and calculus by exploring arithmetic and geometric progressions, recursive and explicit notation, and the behavior of sequences as they approach infinity.

A 1st-grade sequence exploring quantitative relationships through geometric patterns, T-charts, skip counting, and simple graphing to build foundational algebraic thinking.

A specialized intervention sequence designed for Algebra I students to master TEKS A2A and A6A, focusing on the domain and range of linear and quadratic functions through tiered small-group instruction.

A lesson sequence focusing on the algebraic and graphical properties of radical equations, bridging the gap between symbolic manipulation and visual intersection points.

This lesson helps 8th-grade students determine the number of solutions in a system of equations using algebraic manipulation and visual shortcuts, moving from graphical understanding to algebraic mastery.

A sequence focused on visualizing linear functions through physical movement and spatial reasoning, designed for middle school students to master slope-intercept form.

A series of lessons focused on the practical applications of linear equations, slope, and geometric relationships in real-world contexts like urban planning and engineering.

A series of Algebra I support lessons designed to address fundamental misconceptions in linear functions through interactive, theme-based activities.

A specialized unit exploring the geometric properties of slope, connecting algebraic rates of change to trigonometric functions and the geometry of inclination.

An 11th-grade mathematics sequence focused on analyzing linear-quadratic systems through algebraic and geometric lenses, specifically utilizing the discriminant to predict intersection counts.

A foundational sequence for 11th Grade Pre-Calculus focusing on the essential building blocks of functions, their graphs, and their behavior. Students develop the ability to recognize, sketch, and analyze parent functions which serves as the basis for all future transformation and modeling work.

A comprehensive lesson on calculating slope using both the algebraic formula and the visual rise-over-run method, featuring guided video notes and a competitive group activity.

A foundational algebra sequence focused on linear relationships, starting with the calculation of slope and graphing equations in slope-intercept form. Students progress from conceptual understanding to procedural fluency using visual and kinesthetic activities.

A lesson sequence focusing on the geometric properties of quadratic functions, specifically using symmetry to locate key features like the vertex and axis of symmetry.

An Algebra intervention sequence focusing on the critical distinction between vertical and horizontal line equations ($x=c$ vs $y=c$). This sequence targets common misconceptions through visual analysis, coordinate consistency, and guided practice.

A comprehensive lesson sequence for 12th Grade Pre-Calculus/Calculus students on solving and visualizing systems of nonlinear equations involving conic sections. Students move from sketching predictions to algebraic verification and creative system design.

A unit focused on linear inequalities, boundary logic, and systems of constraints, moving from basic graphing to multi-variable solution regions and real-world scenarios.

A math sequence for 11th Grade Special Education focusing on visual representations of functions. Students learn to interpret graphs as narratives, moving from qualitative sketches to precise quantitative analysis of slope, intersections, and non-linear trends.

A sequence focused on visual representations of integers, absolute value, and inequalities using vertical and horizontal number lines to support 6th-grade academic support students.

This sequence supports 10th-grade students in mastering inequalities and functions through visual modeling. By progressing from 1D number lines to 2D coordinate planes, students build a concrete understanding of constraints, domain, and range using shading and geometric reasoning.

This 8th-grade sequence focuses on visual strategies to deconstruct geometry and systems of equations, helping students manage cognitive load through sketching, color-coding, and decomposition of complex problems.

This sequence uses visual tools like double number lines, slope triangles, and coordinate overlays to help 8th-grade students understand functions and rates of change. It provides concrete representations for abstract algebraic concepts, supporting students who benefit from visual and spatial reasoning.

A tier 2 intervention sequence for 6th-grade students focused on 6.EE.B (Equations and Inequalities). Built on All Learners Network (ALN) High Leverage Practices, this unit uses a 'Blueprint' theme to help students conceptually understand balancing equations, using variables, and representing constraints with inequalities.

A 12-lesson Tier 2 intervention series focused on 6th-grade Expressions and Equations. Using the All Learners Network (ALN) High Leverage Concepts, students build conceptual understanding of variables, equality as balance, and the structure of expressions through number sense routines and low-floor, high-ceiling tasks.

A comprehensive math intervention sequence for 6th-grade students, focusing on four key domains: Numbers & Operations, Algebraic Thinking, Measurement & Data, and Geometry. This sequence uses high-leverage strategies from the All Learners Network (ALN) and aligns with i-Ready prerequisite modules to bridge conceptual gaps.

A lesson sequence focusing on the algebraic and graphical properties of radical equations, bridging the gap between symbolic manipulation and visual intersection points.

This lesson helps 8th-grade students determine the number of solutions in a system of equations using algebraic manipulation and visual shortcuts, moving from graphical understanding to algebraic mastery.

A sequence focused on visualizing linear functions through physical movement and spatial reasoning, designed for middle school students to master slope-intercept form.

A series of lessons focused on the practical applications of linear equations, slope, and geometric relationships in real-world contexts like urban planning and engineering.

A lesson sequence focusing on the transition from expanded ellipsis notation to formal Sigma notation within the context of arithmetic series proofs. Students analyze a standard proof and reformulate it using summation properties.

A Pre-Algebra unit focused on understanding the nature of linear equations and their solutions. Students explore how the structure of an equation determines whether it has one, none, or infinite solutions, connecting algebraic results to geometric representations.

A comprehensive 7th-grade math lesson on identifying and calculating complementary and supplementary angles. The sequence covers basic definitions, linear pairs, and connects geometric concepts to algebraic problem-solving.

This 8th Grade Math sequence explores the properties of triangles, focusing on the Triangle Angle Sum Theorem and its applications in algebraic problem-solving. Students progress from hands-on measurement to complex multi-step relay challenges.

A series of Algebra I support lessons designed to address fundamental misconceptions in linear functions through interactive, theme-based activities.

An 11th-grade mathematics sequence focused on analyzing linear-quadratic systems through algebraic and geometric lenses, specifically utilizing the discriminant to predict intersection counts.

A lesson sequence focused on identifying and correcting domain restriction errors for 9th-10th grade algebra students. Students act as 'Error Doctors' to diagnose and treat mathematical misconceptions using video-based instruction and peer review.