A comprehensive lesson on interpreting and analyzing complex data visualizations, including trends, correlations, and statistical distributions for high school students.

A focused lesson on solving quadratic equations and understanding quadratic functions, featuring a review presentation and a multiple-choice assessment.

A comprehensive lesson covering addition, subtraction, multiplication, and division of integers using visual models and algorithmic rules.

A summative assessment evaluating mastery of the Data Decoder sequence. Students apply their skills to a final case study involving complex data analysis and interpretation.

A deep dive into distinguishing between correlation and causation. Students analyze the correlation coefficient (r) and explore how external factors can influence perceived relationships between variables.

Explores bivariate data through scatter plots, trend lines, and the basics of linear regression. Students learn to use technology or manual methods to find the line of best fit and interpret the slope and intercept.

Instruction on organizing and interpreting categorical data using two-way frequency tables. Students calculate joint, marginal, and conditional relative frequencies to find associations between variables.

Guided practice in comparing two or more datasets using visual displays and summary statistics. Students analyze differences in shape, center, and spread to draw meaningful conclusions.

Introduces measures of center (mean, median) and spread (range, interquartile range, standard deviation basics). Students learn how to calculate these values and understand what they represent in the context of a dataset.

Focuses on constructing and interpreting visual data displays including histograms, box plots, and dot plots. Students learn to identify the most appropriate display for different data types and describe the shape of distributions.

A baseline assessment designed to identify student gaps in data interpretation, display construction, and statistical reasoning. Includes a variety of item types to gauge prior knowledge of histograms, box plots, and measures of center.

A comprehensive summative assessment covering all factoring and solving methods learned throughout the intervention sequence.

Connect algebraic solutions to graphical features like x-intercepts and vertices, providing a visual justification for the different solving methods.

Use the Quadratic Formula as a universal tool for solving any quadratic equation, with a focus on calculating the discriminant to predict solution types.

Learn to complete the square using area models to solve equations and prepare for vertex form, emphasizing the geometric interpretation of the procedure.

Apply factoring skills to solve quadratic equations using the Zero Product Property, bridging the gap between expressions and equations.

Master factoring trinomials of the form x^2 + bx + c and ax^2 + bx + c using the "X-box" or diamond method for visual scaffolding.

Assess baseline knowledge of linear equations and basic operations while introducing Greatest Common Factor (GCF) and Difference of Squares factoring methods.

Final evaluation of student mastery across all function interpretation standards (F-IF.A–B).

Analyze symmetry, end behavior, and apply function interpretation to real-world scenarios to build mathematical modeling skills.

Identify and interpret key features of functions including intercepts, relative maxima and minima, and intervals where the function is increasing or decreasing.

Master the concepts of domain and range across graphs, tables, and equations using visual 'boundary box' techniques.

Identify baseline student knowledge of functions and establish a solid understanding of function notation and evaluation through the 'function machine' concept.

A comprehensive summative assessment and real-world modeling task where students must apply all learned skills to finalize a 'blueprint' for a new community space.

Transitions from one-variable to two-variable linear relationships. Students graph equations using slope and y-intercept, interpreting these values within the context of architectural design.

Addresses the logic of linear inequalities, including graphing on a number line and the critical rule for multiplying/dividing by a negative number. Includes real-world 'budgeting' scenarios.

Students learn to manipulate formulas and literal equations, 'remodeling' them to solve for a specific variable. Connects abstract variable manipulation to real-world geometric and physical formulas.

Teaches students how to handle equations with variables on both sides of the equals sign. Emphasizes maintaining 'structural balance' and choosing the most efficient first move.

Focuses on multi-step linear equations involving the distributive property and combining like terms. Uses a 'building blocks' approach to help students visualize the order of operations in reverse.

Students complete a baseline diagnostic assessment to identify specific gaps in prerequisite skills and algebraic reasoning. Teachers analyze results using a specialized error analysis guide to tailor the intervention path.

A comprehensive final assessment and review session to measure student mastery of multi-step equations and real-world problem solving.

Students learn to translate real-world scenarios into algebraic equations and solve them, focusing on rational numbers and variable definitions.