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

A cumulative review lesson where students apply their knowledge of inverse operations to solve mixed one-step equations involving addition, subtraction, multiplication, and division.

Expanding algebraic thinking to multiplication and division. Students will learn how to 'undo' multiplication by splitting into equal groups (division) and 'undo' division through multiplication, maintaining the balance of the scale.

A foundational introduction to basic algebra using the balance scale analogy, specifically designed for students working at a 3rd-grade level. Students will learn about variables and the concept of inverse operations to 'undo' addition and subtraction.

A Tier 2 intervention lesson for 6th grade focused on equivalent ratios using tape diagrams and visual models. Students practice through guided 'recipes' and matching activities to build conceptual understanding.

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

A Tier 2 intervention lesson for 5th grade students focused on conceptually understanding equivalent fractions and renaming them to add fractions with unlike denominators. Students will explore the 'Identity Property of 1' through visual models to see why multiplying the numerator and denominator by the same number creates an equivalent fraction.

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.