A comprehensive 7th-grade unit exploring probability through game design, where students move from understanding basic likelihood to analyzing mathematical fairness and building their own chance-based simulations.
A 12-lesson Tier 2 intervention sequence for 6th-grade students struggling with multi-digit division. This sequence uses the Illustrative Mathematics approach (area models and partial quotients) and aligns with the All Learners Network's High Leverage Concepts to build deep conceptual understanding of the relationship between multiplication and division.
A 12-lesson Tier 2 intervention sequence for 6th-grade students focused on computational fluency with decimals and the system of rational numbers. The sequence follows the All Learner Network High Leverage Concepts, moving from multi-digit decimal operations to complex coordinate plane navigation.
A 12-session tier 2 intervention sequence designed to build conceptual mastery of fraction division. Grounded in All Learners Network (ALN) principles, students progress from visual measurement models to the common denominator strategy and eventually the standard algorithm through deep reasoning and high-leverage concepts.
A comprehensive week-long math unit focused on identifying coin values and performing addition and subtraction of money up to $20 using a calculator in real-world contexts.
A comprehensive 12-lesson Tier 2 intervention sequence focused on 6th-grade ratio and proportion standards. Using High Leverage Concept strategies from the All Learners Network, this sequence moves from basic ratio language to complex unit rate and percent problems using visual models like tape diagrams and ratio tables.
A 7th-grade math lesson focused on the distinction between exact values in terms of Pi and decimal approximations using circumference calculations from the 'Circumference Song'.
A comprehensive math unit focusing on applying percentage calculations, sales tax, and multi-step budgeting to real-world scenarios. students act as event planners to manage a fixed budget while accounting for specific tax rates.
A math unit focused on understanding and applying ratios and proportions through visual methods, mental math strategies, and algorithmic problem-solving.
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 advanced mental math and historical algorithm lessons designed to build deep number sense and computational fluency in middle and high school students.
A math unit focused on mastering decimal operations through problem-solving, visual modeling, and critical thinking.
A targeted math intervention sequence focused on remediating GCF gaps using a visual, color-coded prime factorization strategy. This sequence emphasizes the efficiency of prime factorization over listing factors for larger numbers.
A lesson sequence focusing on geometry and proportions, specifically how side lengths and perimeters change according to a scale factor (enlargement ratio).
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.
A unit focused on applying percentages to real-world financial contexts, including discounts, markups, and interest.
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 financial literacy and the practical application of percentage decrease through real-world shopping scenarios and discount calculations.
A series of lessons focused on mastering algebraic and numerical fractions through visual strategies and structural simplification.
A lesson sequence focusing on modeling real-world business scenarios using two-step inequalities, centered around the concepts of profit, revenue, and cost.
A 7th-grade math sequence focused on applying algebraic equations to real-world consumer scenarios, specifically involving discounts, sale prices, and original prices.
A music and math integration lesson where students learn algebraic concepts through rap and create their own math-themed mnemonics or rhymes.
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 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 middle school mathematics unit focused on proportional reasoning, ratio analysis, and multi-representation of numerical relationships.
A unit focused on mastering the number system, starting with integer basics and moving toward complex operations and coordinate planes.
A remedial math sequence focused on mastering inequalities and negative numbers on a number line through visual and kinesthetic learning.
A mathematics sequence focusing on geometry, circles, and the calculation of circumference and area for middle school students.
A comprehensive unit exploring circle geometry, vocabulary, arcs, angles, and properties through visual and hands-on investigation.
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.
This 5-lesson sequence uses the Concrete-Representational-Abstract (CRA) framework to teach integer operations to 6th-grade students with academic support needs. Students utilize two-color counters to model positive and negative values, master the concept of zero pairs, and eventually transition to number line representations and symbolic computation.
A 7th-grade math support sequence focusing on proportional reasoning through the use of counters and tape diagrams. This tactile-to-visual approach helps students bridge the gap between physical grouping and abstract multiplicative thinking.
A 5-lesson sequence for 7th-grade students focusing on using base-ten blocks as manipulatives to master decimal place value, addition, and subtraction. The unit redefines the whole (flat block = 1) to build conceptual understanding of tenths and hundredths.
A 5-lesson series for 7th-grade students using algebra tiles to bridge the gap between concrete manipulatives and abstract algebraic notation. Students move from naming tiles to solving two-step equations using the Concrete-Representational-Abstract (CRA) framework.
A comprehensive sequence for 7th-grade students, particularly those requiring academic support, to master integer operations using two-color counters. The sequence moves from concrete manipulation (counters) to representational (drawings) and finally to abstract rules and real-world application.
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 sequence focused on conceptualizing fraction division through visual area models, progressing from whole numbers to fraction-by-fraction division for 6th-grade students needing academic support.
This sequence introduces the tape diagram (or bar model) as a primary tool for making abstract ratio and rate problems concrete. Students move from physical blocks to drawn models, focusing on reducing cognitive load and organizing information visually to solve multi-step ratio problems.
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 comprehensive 7th-grade math sequence designed for students needing academic support in visualizing integer operations. Using number lines as 'blueprints,' students move from vertical contexts and opposites to vector-based addition and subtraction-as-distance strategies.
This sequence uses the Concrete-Representational-Abstract (CRA) framework to help 7th-grade students master ratios and proportions through tape diagrams. Students progress from simple part-to-part comparisons to complex multi-step problems involving changing quantities, providing a visual scaffold for abstract mathematical reasoning.
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 explores the geometric logic of polygons, focusing on the relationship between sides and angles. Students will derive formulas for interior and exterior angles and apply this knowledge to determine which shapes can tessellate a plane, culminating in the creation of original geometric art.
This sequence explores spatial visualization through the study of cross-sections and solids of revolution. Students learn to translate between 2D and 3D representations, a critical skill for engineering, physics, and advanced mathematics.
This sequence investigates the mathematical properties of polygons and their structural applications in engineering and architecture. Students explore interior and exterior angles, the unique attributes of regular polygons, and the fundamental reasons why triangles provide structural rigidity where other polygons fail.
This sequence bridges geometry and physics, investigating the structural properties of 2D and 3D shapes. Students analyze rigidity, tessellation, and surface area-to-volume ratios to understand how geometric attributes influence physical performance in engineering and nature.
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.
A 7th-grade project-based sequence exploring scale drawings, proportional reasoning, and the geometric properties of dilation. Students progress from basic scale factors to designing a professional tiny house blueprint.
A 7th-grade geometry sequence exploring the mathematical constraints of triangles, from side length inequalities to angle sums and uniqueness conditions. Students progress from hands-on experimentation to formalizing geometric rules and applying them to engineering scenarios.