Paid-members only Grade 6 Math Units Unit Plan 8 (Grade 6 Math): Divide Fractions by Fractions 6th graders model and compute fraction-by-fraction division using strips, number lines, and area models. They interpret real-world contexts, justify the reciprocal rule, estimate reasonableness, and explain results with units and clear mathematical reasoning.
Paid-members only Grade 6 Math Units Unit Plan 7 (Grade 6 Math): Measurement Conversions & Dimensional Analysis 6th graders use ratio reasoning to convert measurements within and across systems. They apply tables, double number lines, and unit-canceling to decide when to multiply or divide, estimate reasonableness, and extend understanding to area and volume conversions.
Paid-members only Grade 6 Math Units Unit Plan 6 (Grade 6 Math): Percent in the Real World—Discounts, Markups, Tax, Tips 6th graders apply percent reasoning to real-world money problems involving discounts, markups, tax, and tips. They identify the correct base, estimate before calculating, and use ratio tables to organize multistep solutions with accurate units and clear explanations.
Paid-members only Grade 6 Math Units Unit Plan 5 (Grade 6 Math): Percent Sense—Part, Whole, Percent 6th graders develop strong percent sense using models like bars, grids, and tables. They find parts, wholes, and percents in real contexts, apply benchmarks for estimation, and explain reasoning clearly with accurate units and “per 100” understanding.
Paid-members only Grade 6 Math Units Unit Plan 4 (Grade 6 Math): Constant Speed & Unit Pricing 6th graders apply ratio reasoning to real-life contexts like prices, recipes, and speed. They compute and interpret unit rates using tables and double number lines, make best-buy and constant-speed decisions, and explain reasoning with precise units and clear mathematical communication.
Paid-members only Grade 6 Math Units Unit Plan 3 (Grade 6 Math): Equivalent Ratios—Tables, Graphs, and Patterns 6th graders extend ratio reasoning by creating and scaling ratio tables, finding missing values, and graphing equivalent pairs through the origin. They connect unit rates to straight-line graphs, compare proportional relationships, and justify conclusions using precise tables, graphs, and units.
Paid-members only Grade 6 Math Units Unit Plan 2 (Grade 6 Math): Ratios to Unit Rates 6th graders explore ratios and unit rates through real-world contexts like pricing, recipes, and speed. They build tape and double-number-line models, compute “per 1” comparisons, justify best-buy decisions, and communicate reasoning with precise units and representations.
Grade 6 Math Units Unit Plan 1 (Grade 6 Math): Building Our Math Community & Problem-Solving Norms 6th graders build classroom math routines, discourse norms, and confidence through ratio and number-sense tasks. They use diagrams, estimation, and error analysis to develop precision, self-checking habits, and clear mathematical communication.
Grade 7 Math Units Unit Plan 36 (Grade 7 Math): Cumulative Synthesis & Exhibition 7th graders showcase full-spectrum math mastery through integrated team projects combining ratios, equations, geometry, and probability. They model, compute, and present findings with clear visuals, accurate units, justified reasoning, and evidence-based critique.
Paid-members only Grade 7 Math Units Unit Plan 35 (Grade 7 Math): Mixed Review—Algebra, Geometry, and Data 7th graders tackle integrated math tasks connecting proportions, algebra, geometry, and probability. They model real scenarios, compute with precision, justify reasoning with units, and communicate data-driven conclusions supported by estimation and evidence.
Paid-members only Grade 7 Math Units Unit Plan 34 (Grade 7 Math): Proportional Modeling Project—From Data to Decision 7th graders design and analyze proportional situations like recipes, speed, or cost. They collect data, compute unit rates, write equations, and graph y = kx to make predictions, compare options, and justify conclusions with clear assumptions and limits.
Paid-members only Grade 7 Math Units Unit Plan 33 (Grade 7 Math): Rational Numbers in the Wild 7th graders solve multistep real-world problems using signed fractions and decimals. They estimate, calculate precisely, and report results with units and error bounds, building accuracy, structure, and real-world quantitative reasoning.
Paid-members only Grade 7 Math Units Unit Plan 32 (Grade 7 Math): Statistics & Probability Power-Up 7th graders synthesize statistics and probability skills through sampling, population comparisons, and compound events. They build models, run simulations, and communicate findings with precise units, clear evidence, and honest discussion of uncertainty and limitations.
Paid-members only Grade 7 Math Units Unit Plan 31 (Grade 7 Math): Geometry Power-Up—Scale, Angles, and Area/SA/Volume 7th graders integrate all geometry standards through scale drawings, triangles, cross-sections, circles, and 3D measurement. They create labeled diagrams, apply formulas for area, surface area, and volume, and verify reasonableness with correct units.
Paid-members only Grade 7 Math Units Unit Plan 30 (Grade 7 Math): Expressions & Equations Power-Up 7th graders strengthen algebra fluency by rewriting rational expressions, solving multistep equations and inequalities, and checking solutions for accuracy. They model real-world problems, apply structure, and communicate clear, unit-based conclusions.
Paid-members only Grade 7 Math Units Unit Plan 29 (Grade 7 Math): Constant of Proportionality—Graphs to Decisions 7th graders interpret and compare constants of proportionality (k) across tables, graphs, and equations. They identify proportional relationships, analyze unit rates, and use k to model real situations and justify data-driven recommendations.
Paid-members only Grade 7 Math Units Unit Plan 28 (Grade 7 Math): Percent Mastery—Tax, Tips, Markups, Discounts 7th graders master percent applications through discounts, markups, tax, and tips using proportions and equations. They estimate, apply multipliers, order multistep calculations, and communicate results clearly with money units and accurate rounding.
Paid-members only Grade 7 Math Units Unit Plan 27 (Grade 7 Math): Compound Events—Lists, Tables, and Simulation 7th graders model compound events using organized lists, tables, and tree diagrams. They compute probabilities, run simulations, and compare experimental results to theory, explaining discrepancies through independence, fairness, and sample size.
Paid-members only Grade 7 Math Units Unit Plan 26 (Grade 7 Math): Uniform and Empirical Probability Models 7th graders build and compare uniform and empirical probability models, predicting outcomes and analyzing discrepancies between theory and data. They justify model choice, discuss fairness, and explain variability using clear, data-driven reasoning.
Paid-members only Grade 7 Math Units Unit Plan 25 (Grade 7 Math): Probability—Chance in Context 7th graders explore probability as a measure from 0 to 1, connecting theoretical models to experimental results. They build sample spaces, run simulations, compare relative frequencies, and explain why long-run outcomes approach expected probabilities.
Paid-members only Grade 7 Math Units Unit Plan 24 (Grade 7 Math): Comparing Two Populations 7th graders compare two numerical data sets using mean, median, MAD, and IQR. They interpret dot and box plots, analyze center, spread, and overlap, and make cautious, data-driven inferences in real-world contexts.
Paid-members only Grade 7 Math Units Unit Plan 23 (Grade 7 Math): Sampling & Representative Data 7th graders explore random sampling to make informal inferences about populations. They compare random vs biased methods, generate repeated samples, analyze variability, and use sample proportions or means to estimate population characteristics.
Paid-members only Grade 7 Math Units Unit Plan 22 (Grade 7 Math): Volume—Prisms and Pyramids 7th graders explore volume through right prisms and right square pyramids, deriving V = B·h and V = ⅓B·h. They compare packing and stacking, reason with cubic units, convert measurements, and solve real-world modeling problems.
Paid-members only Grade 7 Math Units Unit Plan 21 (Grade 7 Math): Surface Area—Prisms and Pyramids 7th graders explore surface area through nets and formulas for right prisms and pyramids, applying SA = 2B + Ph and SA = B + ½Pl. They distinguish slant height from height, use precise units, and solve real-world material and coverage problems.
Paid-members only Grade 7 Math Units Unit Plan 20 (Grade 7 Math): Area of Circles & Composite Figures 7th graders derive and apply A = πr² to find areas of circles and composite shapes with circular parts. They decompose figures, use precise units, justify rounding, and solve real-world design and measurement problems.