A comprehensive lesson on converting between fractions, decimals, and percents using a differentiated choice board. Students explore benchmark values and real-world applications through varied tasks tailored to different learning needs.

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 review and application of both strategies through a competitive classroom game.

Focused practice on the standard long division algorithm to build fluency and accuracy with multi-digit divisors.

Step-by-step introduction to the standard algorithm for long division, connecting it to the partial quotients method.

Practice with partial quotients to solve more complex multi-digit division problems, emphasizing estimation and subtraction accuracy.

Introduction to division through partial quotients, focusing on using "friendly numbers" to build confidence with large numbers.

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.

An introductory lesson on identifying and combining like terms to solve multi-step equations, designed for upper elementary students using visual models and guided practice.

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.

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 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.

Focuses on multi-step equations involving the distributive property and combining like terms, including error analysis activities to solidify conceptual understanding.

Students master one and two-step equations by utilizing balance models and algebraic methods to maintain equality while isolating the variable.

This introductory lesson focuses on identifying gaps in prerequisite skills such as inverse operations and combining like terms, providing targeted review to prepare students for multi-step equations.

Synthesizing skills through a real-world recipe task and a final summative assessment.

Understanding percent as a rate per 100 and using models to solve percent problems.

Calculating and applying unit rates in contexts like unit pricing and constant speed.

Utilizing ratio tables and double number line diagrams to visualize equivalent ratios and solve scaling problems.

A diagnostic check followed by an introduction to ratio language, various notation forms, and identifying parts-to-parts vs. parts-to-whole relationships.