Algebra

A 6th-grade math unit focused on standard 6.EE.A.2. Students will learn to write, read, and evaluate algebraic expressions using proper mathematical terminology and the order of operations.

A sequence focused on mastering the fundamental properties of mathematical operations, including commutative, associative, and distributive properties, and understanding why they don't apply to subtraction and division.

A series of inquiry-based lessons exploring the deep connection between prime factorization and decimal representations. Students move from predicting decimal types to mental conversion strategies and advanced simplification.

A series of lessons focused on building algebraic thinking and problem-solving skills for elementary students, moving from basic expressions to multi-step equations.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A targeted intervention sequence for Grade 6 students focused on generating equivalent expressions using the properties of operations. This unit utilizes visual models like area models and algebra tiles to build conceptual understanding of the distributive property and combining like terms.

A series of high-level enrichment activities for 6th-grade students to master expressions and equations through logic puzzles and real-world modeling.

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

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

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 visual algebra sequence for 6th-grade students that bridges word problems and algebraic equations using sketches, boxes, and balance scales. Designed for special education support, it emphasizes visual schemas to reduce cognitive load and support executive functioning.

Students bridge literacy and algebra by translating real-world scenarios into mathematical equations. The sequence focuses on identifying variables, mapping keywords to symbols, and constructing one-step addition and subtraction equations.

A 5th-grade math sequence focused on understanding algebraic equality through visual models, pan balances, and bar models to solve addition and subtraction equations.

A sequence focused on mastering the fundamental properties of mathematical operations, including commutative, associative, and distributive properties, and understanding why they don't apply to subtraction and division.

A series of inquiry-based lessons exploring the deep connection between prime factorization and decimal representations. Students move from predicting decimal types to mental conversion strategies and advanced simplification.

A series of lessons focused on building algebraic thinking and problem-solving skills for elementary students, moving from basic expressions to multi-step equations.

A targeted intervention sequence for Grade 6 students focused on generating equivalent expressions using the properties of operations. This unit utilizes visual models like area models and algebra tiles to build conceptual understanding of the distributive property and combining like terms.

A series of high-level enrichment activities for 6th-grade students to master expressions and equations through logic puzzles and real-world modeling.

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

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

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 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.

A comprehensive 5-lesson sequence for 6th-grade students on generating and verifying equivalent algebraic expressions. The unit moves from concrete area models to symbolic manipulation (distributive property, combining like terms, factoring) and concludes with verification through substitution and error analysis.

A middle school algebra sequence focused on error analysis, substitution-based verification, and mathematical argumentation regarding equivalent expressions. Students act as 'Math Detectives' to identify common misconceptions and prove equivalence.

This inquiry-based sequence utilizes geometric area models to conceptualize the distributive property. Students move from concrete arithmetic to abstract algebraic manipulation, eventually fluently expanding linear expressions with rational coefficients.

A project-based math sequence for 6th grade where students explore equivalent algebraic expressions through the lens of geometric design, perimeter, and area. Students act as landscape architects to discover how different forms of the same expression can simplify calculations and reveal geometric properties.

A 5-lesson sequence for 6th-grade students exploring the inverse relationship between the Distributive Property and factoring. Students progress from finding the Greatest Common Factor of integers and algebraic terms to factoring complex linear expressions and identifying prime expressions.

This sequence guides 6th-grade students through the process of verifying algebraic equivalence. Moving beyond rote rules, students use substitution, identify counterexamples, and analyze structural properties to prove whether two expressions are truly identical in value across all possible inputs.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A 2-lesson intervention sequence focused on mastering the first quadrant of the coordinate plane through hands-on exploration and pattern-based plotting. Students develop a strong foundation in the 'over, then up' protocol to bridge the gap between basic graphing and algebraic patterns.

A 4-lesson intervention sequence focused on the fundamentals of the coordinate plane, specifically the first quadrant. Students progress from identifying axes to plotting patterns from numerical rules using a consistent 'Run then Jump' protocol.

A 6-lesson Tier 2 intervention designed to help students master the relationship between numerical patterns, converting them into ordered pairs, and graphing them on a coordinate plane using a cartography and exploration theme.

A series of high-level enrichment activities for 6th-grade students to master expressions and equations through logic puzzles and real-world modeling.

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

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.

A game-based exploration of polygons on the coordinate plane. Students learn to plot, calculate distance, reflect shapes, and deduce geometric properties using coordinate data in all four quadrants.

This sequence introduces 6th-grade students to the coordinate plane as a tool for geometric modeling, moving from basic point plotting to calculating area, perimeter, and distance of complex polygons within all four quadrants.

An inquiry-based exploration of growth rates, comparing linear, quadratic, and exponential patterns through real-world simulations, table analysis, and graphing. Students discover how constant addition, area growth, and constant multiplication create vastly different outcomes over time.

A sequence focused on using bar models to visualize and solve complex math problems, specifically designed for students needing academic support in executive functioning and working memory. Students progress from concrete block representations to abstract multi-step problem decomposition.

Students bridge literacy and algebra by translating real-world scenarios into mathematical equations. The sequence focuses on identifying variables, mapping keywords to symbols, and constructing one-step addition and subtraction equations.

A 5-lesson math sequence for 6th grade focused on translating real-world scenarios into one-step addition and subtraction equations. Students progress from identifying unknowns and defining variables to creating their own contextual word problems.

A comprehensive 6th-grade math sequence focusing on the transition from ratio tables to linear equations. Students explore constant rates, coordinate graphing, the constant of proportionality, and algebraic modeling through real-world scenarios like snack pricing and ride-share algorithms.

This inquiry-based sequence establishes the foundational conceptual understanding of volume as the accumulation of two-dimensional layers. Students move from counting unit cubes to deriving the universal formula V = Bh for prisms by exploring rectangular and triangular shapes.

This sequence guides 6th-grade students through the conceptual derivation of volume formulas for rectangular prisms, moving from concrete unit cubes to abstract formulas. students explore the distinction between area and volume, discover the lwh formula through packing, and master the base-area method.

This sequence builds spatial reasoning by connecting 2D nets to 3D surface area. Students move from physical deconstruction of boxes to calculating surface area for rectangular prisms, triangular prisms, and pyramids, culminating in a packaging optimization challenge.

This sequence guides 6th-grade students from conceptualizing volume as counting unit cubes to deriving and applying volume formulas (V=lwh and V=Bh) with whole and fractional edge lengths. Students explore volume through inquiry, formalize their understanding, and solve real-world logistics challenges.

A 2-lesson intervention sequence focused on mastering the first quadrant of the coordinate plane through hands-on exploration and pattern-based plotting. Students develop a strong foundation in the 'over, then up' protocol to bridge the gap between basic graphing and algebraic patterns.

A 4-lesson intervention sequence focused on the fundamentals of the coordinate plane, specifically the first quadrant. Students progress from identifying axes to plotting patterns from numerical rules using a consistent 'Run then Jump' protocol.

A 6-lesson Tier 2 intervention designed to help students master the relationship between numerical patterns, converting them into ordered pairs, and graphing them on a coordinate plane using a cartography and exploration theme.

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 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.

A comprehensive 6th-grade math sequence focusing on the transition from ratio tables to linear equations. Students explore constant rates, coordinate graphing, the constant of proportionality, and algebraic modeling through real-world scenarios like snack pricing and ride-share algorithms.

This sequence builds a foundational understanding of the coordinate plane as a tool for visualizing algebraic relationships. Students progress from navigating the four quadrants to graphing linear equations and inequalities, culminating in a mastery-based synthesis challenge.

This sequence moves 5th-grade students from whole-number unit cubes to advanced calculation of rectangular prisms using formulas, algebraic thinking for missing dimensions, and proportional reasoning. Students explore how changing dimensions affects volume and apply their knowledge to complex real-world word problems.

An inquiry-based unit where students investigate numerical patterns, generate sequences from rules, and represent these relationships on the coordinate plane. They will learn to compare patterns and analyze how different operations affect visual trends.

This project-based sequence guides students through the practical application of unit rates in financial and physical contexts. Students calculate basic unit prices, solve complex fraction rates, and analyze constant speed through graphing, culminating in a consumer analysis project.

A 5-day math review sequence for rising 7th graders, covering fractions, decimals, ratios, integers, and one-step equations to prevent summer learning loss.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A targeted Tier 2 intervention for 6th-grade students focused on writing simple inequalities and graphing their solutions on number lines. This sequence uses real-world constraints and hands-on manipulatives to build conceptual understanding of inequality symbols and their visual representations.

A 2-lesson intervention sequence focused on mastering the first quadrant of the coordinate plane through hands-on exploration and pattern-based plotting. Students develop a strong foundation in the 'over, then up' protocol to bridge the gap between basic graphing and algebraic patterns.

A 4-lesson intervention sequence focused on the fundamentals of the coordinate plane, specifically the first quadrant. Students progress from identifying axes to plotting patterns from numerical rules using a consistent 'Run then Jump' protocol.

A 6-lesson Tier 2 intervention designed to help students master the relationship between numerical patterns, converting them into ordered pairs, and graphing them on a coordinate plane using a cartography and exploration theme.

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.

A game-based exploration of polygons on the coordinate plane. Students learn to plot, calculate distance, reflect shapes, and deduce geometric properties using coordinate data in all four quadrants.

This sequence introduces 6th-grade students to the coordinate plane as a tool for geometric modeling, moving from basic point plotting to calculating area, perimeter, and distance of complex polygons within all four quadrants.

An inquiry-based exploration of growth rates, comparing linear, quadratic, and exponential patterns through real-world simulations, table analysis, and graphing. Students discover how constant addition, area growth, and constant multiplication create vastly different outcomes over time.

A comprehensive 6th-grade math sequence focusing on the transition from ratio tables to linear equations. Students explore constant rates, coordinate graphing, the constant of proportionality, and algebraic modeling through real-world scenarios like snack pricing and ride-share algorithms.

This sequence builds a foundational understanding of the coordinate plane as a tool for visualizing algebraic relationships. Students progress from navigating the four quadrants to graphing linear equations and inequalities, culminating in a mastery-based synthesis challenge.

An inquiry-based unit where students investigate numerical patterns, generate sequences from rules, and represent these relationships on the coordinate plane. They will learn to compare patterns and analyze how different operations affect visual trends.

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.

This sequence introduces 6th-grade students to the coordinate plane as a tool for geometric modeling, moving from basic point plotting to calculating area, perimeter, and distance of complex polygons within all four quadrants.

This inquiry-based sequence establishes the foundational conceptual understanding of volume as the accumulation of two-dimensional layers. Students move from counting unit cubes to deriving the universal formula V = Bh for prisms by exploring rectangular and triangular shapes.

This workshop-style sequence transitions students from counting cubes to applying standard algorithms for calculating volume. Students derive and master the formulas V = l × w × h and V = B × h, progressing from straightforward calculations to solving for missing dimensions and complex real-world word problems.

Students transition from concrete unit cube packing to abstract volume formulas (V=lwh, V=Bh) with a specific focus on rectangular prisms with fractional edge lengths. The sequence culminates in real-world application through shipping logistics and a design challenge.

This sequence guides 6th-grade students from conceptualizing volume as counting unit cubes to deriving and applying volume formulas (V=lwh and V=Bh) with whole and fractional edge lengths. Students explore volume through inquiry, formalize their understanding, and solve real-world logistics challenges.

A comprehensive math sequence where students become prospectors to master arithmetic, word problems, geometry, and probability through engaging, game-based challenges.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A targeted Tier 2 intervention for 6th-grade students focused on writing simple inequalities and graphing their solutions on number lines. This sequence uses real-world constraints and hands-on manipulatives to build conceptual understanding of inequality symbols and their visual representations.

A Grade 6 intervention unit focused on using substitution to determine if values are solutions to equations and inequalities. This sequence targets Tier 2 support for standard 6.EE.5 through scaffolded reasoning and investigative activities.

A 4-lesson intervention sequence focused on the fundamentals of the coordinate plane, specifically the first quadrant. Students progress from identifying axes to plotting patterns from numerical rules using a consistent 'Run then Jump' protocol.

A series of high-level enrichment activities for 6th-grade students to master expressions and equations through logic puzzles and real-world modeling.

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

A visual algebra sequence for 6th-grade students that bridges word problems and algebraic equations using sketches, boxes, and balance scales. Designed for special education support, it emphasizes visual schemas to reduce cognitive load and support executive functioning.

A 5th-grade math sequence focused on understanding algebraic equality through visual models, pan balances, and bar models to solve addition and subtraction equations.

A 5-lesson math sequence for 6th grade focused on translating real-world scenarios into one-step addition and subtraction equations. Students progress from identifying unknowns and defining variables to creating their own contextual word problems.

A comprehensive 6th-grade math sequence focusing on the formal algebraic process of solving one-step addition and subtraction equations. Students master inverse operations, vertical formatting, verification through substitution, and error analysis.

A 6th-grade math unit that treats equations as balances, moving from physical manipulation of weights and mystery bags to symbolic algebraic notation. Students develop a conceptual understanding of the Addition and Subtraction Properties of Equality by maintaining equilibrium on both sides of a scale.

This inquiry-based sequence establishes the foundational conceptual understanding of volume as the accumulation of two-dimensional layers. Students move from counting unit cubes to deriving the universal formula V = Bh for prisms by exploring rectangular and triangular shapes.

This sequence introduces 6th-grade students to one-step equations using the concept of inverse operations. Students explore the logic of 'undoing' actions, apply properties of equality to solve equations involving all four operations, and master the skill of verifying their solutions through substitution.

A 5-lesson unit for 6th graders exploring algebra through concrete and visual modeling. Students move from mystery bags and pan balances to algebra tiles and symbolic notation, emphasizing the concept of maintaining balance in equations.

This sequence guides students through identifying, calculating, and proving angle relationships. Students transition from hands-on measurement of intersecting lines to solving complex multi-step algebraic geometry problems and constructing logical arguments.

This sequence builds a foundational understanding of the coordinate plane as a tool for visualizing algebraic relationships. Students progress from navigating the four quadrants to graphing linear equations and inequalities, culminating in a mastery-based synthesis challenge.

A series of lessons focused on building algebraic thinking and problem-solving skills for elementary students, moving from basic expressions to multi-step equations.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A Grade 6 intervention unit focused on using substitution to determine if values are solutions to equations and inequalities. This sequence targets Tier 2 support for standard 6.EE.5 through scaffolded reasoning and investigative activities.

A series of high-level enrichment activities for 6th-grade students to master expressions and equations through logic puzzles and real-world modeling.

A comprehensive math unit designed for Kindergarten and 6th-grade special education students, focusing on subitizing, counting, pattern recognition, and foundational algebraic thinking through multi-sensory engagement.

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.

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.