Formalization of the Expected Value formula E(x) = Σ [x * P(x)] through real-world case studies like lottery tickets.
A comprehensive lesson on converting fractions to terminating decimals using long division and equivalent fractions with denominators of 10, 100, or 1,000. Students will act as 'Decimal Architects' to rebuild fractions into their decimal equivalents.
A comprehensive math lesson focusing on practical life skills: budgeting for multiple items and mastering ratio identification and simplification. This lesson integrates real-world shopping scenarios with structured mathematical organizers.
A final mastery check and celebration of learning where students solve a series of progressive fraction division tasks.
Students create their own division stories and models to demonstrate a deep understanding of the concept.
Students solve complex, multi-step word problems involving fraction division in real-world contexts.
Students formalize the 'invert and multiply' algorithm and practice its application across various problem types.
Students explore the relationship between dividing by a fraction and multiplying by its reciprocal using visual proofs.
Students develop number sense by estimating whether a quotient will be greater than or less than 1 before solving.
Students apply the common denominator strategy to divide fractions with unlike denominators by creating equivalent fractions first.
Students discover that dividing fractions with the same denominator is as simple as dividing their numerators.
Students use tape diagrams as a primary tool to represent and solve division problems involving whole numbers and fractions.
Students extend measurement division to non-unit fractions, using tape diagrams to see how many groups of 2/3 or 3/4 are in a whole.
Students investigate division as sharing by splitting a unit fraction into equal parts among a whole number of groups.
Students explore division as measurement by determining how many unit fractions fit into a whole number using visual models.
A final assessment and review day to track progress towards identifying coins and performing money calculations with 80% accuracy.
Applying both addition and subtraction to multi-step real-world scenarios using a set of interactive scenario cards.
Practicing subtraction skills to calculate change and budget remaining money from a $20 limit.
Introduction to adding money amounts up to $20 using a calculator based on shopping lists and grocery scenarios.
Focuses on identifying the names and values of pennies, nickels, dimes, and quarters through matching and visual aids.
A cumulative review and assessment of ratio and rate concepts through a 'Lab Challenge'.
Students solve complex, multi-step ratio problems using a variety of visual models.
Students find the whole given a part and the percent, or find the part given the whole and percent.
Students define percent as a rate per 100 and represent percents using 10x10 grids.
Students solve problems involving constant speed using unit rates and ratio reasoning.
Students apply unit rate reasoning to find the 'better buy' in shopping scenarios.
Students transition from ratios to unit rates, understanding the concept of 'per 1'.
Students use double number lines to solve ratio problems involving distance, time, and scaling.
Students organize equivalent ratios into tables to identify patterns and solve problems.
Students explore equivalent ratios using simple multiplication and division strategies.
Students use tape diagrams to represent part-to-part and part-to-whole relationships visually.
Students learn to use ratio language to describe a relationship between two quantities. Focus on "for every" language and identifying parts and wholes.
A hands-on multiplication workshop where middle school students use multiple 'engineering tools' (arrays, number lines, and decomposition) to master multiplication facts up to 15x15.
A targeted intervention session providing differentiated pathways for students based on their mastery of domain and range: enrichment projects, error analysis, and foundational reteaching.
A tiered assignment covering TEKS A.4(A-C) focusing on correlation, causation, and linear regression. Students progress through three levels of complexity to master data analysis skills.
A modified geometry lesson focused exclusively on translations, featuring visual aids, simplified language, and scaffolded practice for high school students.
A scaffolded lesson focusing on the distributive property using visual area models and step-by-step symbolic practice designed for math intervention students.
A comprehensive lesson on graphing linear equations using slope-intercept form, featuring a technical blueprint theme to help 8th-grade students master the coordinate plane.
A comprehensive lesson on solving two-step equations involving integers. Students learn to use inverse operations to isolate variables through guided practice and independent problem-solving.
Students apply their knowledge of equivalent ratios and ratio tables to solve real-world mixing problems in a 'Paint Lab' setting. They will scale recipes for different volumes while maintaining color consistency through hands-on or simulated mixing.
A comprehensive 1.5-hour practice session covering ratio reduction, proportion types, properties of equal ratios, and continued proportion for Grade 9 students.
A lesson on classifying quadrilaterals based on their properties using hierarchies and Venn diagrams, adapted from the Bridges in Mathematics Grade 5 curriculum.
Students explore reflections across the x-axis, y-axis, and other lines, learning how to identify line of symmetry and coordinate rules for flipping figures.
An introduction to translations where students learn to slide figures across the coordinate plane using vector notation and coordinate rules.
A comprehensive final assessment for Algebra 1 covering linear equations, systems, exponents, polynomials, and quadratic functions. Includes free response and graphing sections to evaluate deep understanding.
A high-energy, Valentine's-themed 'Price is Right' game designed to last up to 120 minutes, covering item pricing, logic, and estimation.
A 45-minute investigation into the world of data manipulation, covering misleading graphs, correlation vs. causation, and source credibility.
A scaffolded lesson on geometric translations that simplifies complex vocabulary, breaks down coordinate rules into manageable steps, and provides clear visual anchors for students.
A quick, functional introduction to interpreting bar and pie charts using real-world life skills scenarios like budgeting and time management.
