Algebra

A four-day intensive unit on decomposing rectilinear figures to find total area, progressing from basic strategies to complex real-world architectural challenges. Students act as 'Blueprint Builders' to master vertical cuts, horizontal cuts, and additive/subtractive methods.

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

A collection of Valentine's Day math packets at two different levels (Level 1 and Quest), covering budgeting, graphing, measurement, time, and word problems.

A Tier 2 intervention unit focused on numerical patterns, relationships, and coordinate graphing for 5th grade students. Students use linking cubes and color-coded sequences to bridge the gap between concrete patterns and abstract graphing.

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 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 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 5-lesson sequence for 5th-grade students focusing on the systematic development of bar modeling to decode multi-step math word problems. The sequence builds from basic part-whole relationships to complex multiplicative comparisons and two-step problem deconstruction, emphasizing visual representation over calculation.

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.

This sequence uses the Concrete-Representational-Abstract (CRA) framework to help 4th-grade students decompose multi-step math problems. Students progress from physical manipulatives to bar models, mastering multiplicative comparisons and two-step problem structures to reduce cognitive load and improve problem-solving accuracy.

A comprehensive 5th-grade math sequence exploring numerical patterns, the rules governing them, and their visual representation on coordinate planes. Students advance from identifying simple rules to comparing two related patterns and graphing functional relationships.

A 5th-grade math sequence exploring numerical patterns through the lens of multi-digit multiplication, long division, and coordinate graphing. Students act as code breakers and data analysts to solve real-world scenarios.

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.

This sequence teaches 5th-grade students with executive function needs how to break down complex, multi-step math word problems. Using a blueprint-inspired design, students move from annotating text to identifying hidden questions and flowcharting logic before final execution.

A specialized math sequence for 5th-grade students focusing on visual scaffolding through bar modeling. Students learn to translate complex word problems into concrete schemas to support working memory and conceptual understanding.

A 5th-grade geometry sequence focusing on applying volume formulas, finding missing dimensions, and solving real-world problems. Students transition from basic volume calculation to algebraic thinking by working backward from known volumes to find unknown heights or base areas.

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.