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Grade 7 Math Units

Unit Plan 7 (Grade 7 Math): Integer Operations—Adding and Subtracting Rational Numbers

7th graders build fluency with adding and subtracting signed numbers using number lines, additive inverse rules, and real-world contexts like elevation and money changes. They connect direction, distance, and sign to explain and justify results with clarity and precision.

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Grade 7 Math Units

Unit Plan 6 (Grade 7 Math): Percent Change & Multistep Problems

7th graders extend percent understanding to increases, decreases, commissions, and simple interest. They compare strategies—proportions, equations, and multipliers (1 ± r)—to solve multistep percent problems, justify method choices, and check results for accuracy and reasonableness.

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Grade 7 Math Units

Unit Plan 5 (Grade 7 Math): Percent Sense—Part, Whole, Percent

7th graders master percent reasoning by solving real-world problems involving discounts, markups, tips, and tax. They use proportions, equations, and benchmark percents for quick estimates, accuracy checks, and clear communication of multistep calculations.

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Grade 7 Math Units

Unit Plan 4 (Grade 7 Math): Writing and Using y = kx

7th graders represent proportional relationships using y = kx, interpret key points (0,0) and (1,k) as the origin and unit rate, and solve for missing values with correct units. They connect equations, tables, and graphs to model real-world proportional situations precisely.

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Grade 7 Math Units

Unit Plan 3 (Grade 7 Math): Proportional Relationships—Tables, Graphs, and k

7th graders learn to identify proportional relationships, compute and interpret the constant of proportionality (k) from tables and graphs, and represent them using y = kx. They connect multiple representations to explain meaning, units, and real-world applications with precision.

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Grade 7 Math Units

Unit Plan 2 (Grade 7 Math): Ratios to Unit Rates

7th graders master ratio reasoning by converting real-world comparisons into precise unit rates, including complex fractions and mixed units. They connect tables, double number lines, and y = kx equations to understand proportional relationships with accuracy and clarity.

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The Math Lab Model: Flexible Math Workshops That Reach Every Learner

Transform math class with the Math Lab Model: station rotations, small-group conferencing, and adaptive tech for true differentiation.

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Grade 7 Math Units

Unit Plan 1 (Grade 7 Math): Building Our Math Community & Problem-Solving Norms

7th graders build a strong math culture through discourse routines, self-checking, and error analysis. Engaging ratio, rate, and integer tasks strengthen number sense while fostering precision, collaboration, and confidence in mathematical communication.

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Grade 8 Math Units

Unit Plan 36 (Grade 8 Math): Cumulative Synthesis & Exhibition

8th graders demonstrate mastery through integrated performance tasks combining algebra, functions, geometry, and statistics. They model real situations, choose efficient methods, justify solutions with units and precision, and present evidence-based arguments with confidence and clarity.

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Grade 8 Math Units

Unit Plan 35 (Grade 8 Math): Number System & Exponents Spiral—Fluency & Sense-Making

8th graders strengthen number sense by classifying rational and irrational numbers, applying exponent rules, and mastering scientific notation. They approximate square roots, simplify powers, and interpret real-world quantities with precise scale and unit reasoning.

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Grade 8 Math Units

Unit Plan 34 (Grade 8 Math): Geometry Power-Up—Right Triangles & Volume Spiral

8th graders strengthen geometry mastery through targeted Pythagorean Theorem, distance, and volume word problems. They identify right triangles, apply formulas with correct units, and verify answers through conversions, rounding, and real-world reasonableness checks.

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Grade 8 Math Units

Unit Plan 33 (Grade 8 Math): Algebra Power-Up—Equations, Functions, & Systems Spiral

8th graders review and apply key algebra and function skills—solving multi-step equations, comparing functions, and solving systems by graphing or algebraic methods. They model real situations, choose efficient strategies, and justify their reasoning with precision and clarity.

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Grade 8 Math Units

Unit Plan 32 (Grade 8 Math): Linear Modeling Project—From Data to Decision

8th graders design and carry out a complete data investigation—posing a question, collecting or curating data, building a scatter plot, fitting a line of best fit, and interpreting slope and intercept. They make predictions, evaluate model limits, and present clear, evidence-based findings.

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Grade 8 Math Units

Unit Plan 31 (Grade 8 Math): Two-Way Tables & Associations

8th graders construct and interpret two-way relative frequency tables to explore relationships between categorical variables. They compare conditional percentages, identify possible associations, and write evidence-based conclusions using precise, responsible statistical language.

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Grade 8 Math Units

Unit Plan 30 (Grade 8 Math): Using Slope & Intercept for Prediction

8th graders interpret slope and intercept in real-world contexts, using linear models to predict and compare data. They decide when proportional or non-proportional models fit best, explain units and meaning clearly, and assess prediction reasonableness with evidence.

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Grade 8 Math Units

Unit Plan 29 (Grade 8 Math): Informal Lines of Best Fit

8th graders extend scatter plot analysis by drawing informal lines of best fit, writing equations from two line points, and using them to predict values. They evaluate fit visually, interpret slope and intercept in context, and explain interpolation vs. extrapolation with caution and precision.

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Grade 8 Math Units

Unit Plan 28 (Grade 8 Math): Patterns in Bivariate Data—Scatter Plots

8th graders construct and interpret scatter plots to explore relationships between two variables. They identify direction, form, strength, clusters, and outliers, and compare patterns across data sets using precise, evidence-based descriptions.

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Grade 8 Math Units

Unit Plan 27 (Grade 8 Math): Geometry Mixed Review—Transform, Compare, Solve

8th graders integrate geometry’s big ideas—transformations, similarity, angle reasoning, and Pythagorean applications—through real-world, multi-step problems. They choose strategies, justify methods, and model with precision across diagrams and coordinates.

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Grade 8 Math Units

Unit Plan 26 (Grade 8 Math): Similarity in Right Triangles (Extension/Spiral)

8th graders connect similarity and modeling by using AA similarity to solve right-triangle problems, create scale drawings, and perform indirect measurements. They apply proportions, justify scale factors, and verify results using the Pythagorean Theorem and real-world reasoning.

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Grade 8 Math Units

Unit Plan 25 (Grade 8 Math): Volume of Cylinders, Cones, and Spheres

8th graders explore and apply volume formulas for cylinders, cones, and spheres through hands-on modeling and real-world problems. They justify why formulas work, solve composite and missing-dimension tasks, and check units, conversions, and reasonableness.

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Grade 8 Math Units

Unit Plan 24 (Grade 8 Math): Pythagorean Applications & Distance

8th graders apply the Pythagorean Theorem to solve real-world and coordinate problems—finding unknown sides, diagonals, and distances. They derive the distance formula, use it in 2D and 3D contexts, and justify answers with units and reasoning.

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Grade 8 Math Units

Unit Plan 23 (Grade 8 Math): Pythagorean Theorem—Why It Works

8th graders explore why the Pythagorean Theorem works through visual and similarity-based proofs. They construct right triangles, justify a² + b² = c² with area and triangle reasoning, and prove its converse using clear, labeled diagrams.

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Grade 8 Math Units

Unit Plan 22 (Grade 8 Math): Angle Relationships & Triangle Facts

8th graders explore angle relationships in triangles and parallel-line diagrams, using informal proofs to show the triangle sum and exterior angle theorems. They solve for unknown angles and justify reasoning with clear geometric arguments.

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Grade 8 Math Units

Unit Plan 21 (Grade 8 Math): Dilations & Similarity

8th graders explore dilations and similarity, using centers and scale factors to model how figures resize while preserving angles and parallel lines. They apply coordinate rules, verify properties, and prove similarity through transformation sequences.

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Grade 8 Math Units

Unit Plan 20 (Grade 8 Math): Congruence via Rigid Motions

8th graders use sequences of rigid motions—translations, reflections, and rotations—to prove or disprove congruence between figures. They describe transformations precisely, track orientation, and justify congruence with clear reasoning.