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 lesson focused on place value through expanded form and rounding techniques using number lines as visual aids. Students practice with four- and five-digit numbers to master precision in estimation.

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.

Final summative assessment to measure mastery of all four decimal operations and place value concepts.

Instruction on dividing decimals by whole numbers and decimals using fair-sharing models and cost analysis.

Instruction on multiplying decimals using area models and place value shifts, focusing on scaling and measurement.

Instruction and practice on adding and subtracting decimals using place value alignment, estimation, and money contexts.

Initial diagnostic and foundational review of place value relationships from tens to hundredths to prepare for operations.

Final assessment of all unit skills to measure growth and mastery of standard 5.NF.A.1.

Application of fraction operations to real-world word problems, focusing on identifying operations and interpreting results.

Expanding skills to include adding and subtracting mixed numbers, including strategies for regrouping and simplifying.

Guided practice applying common denominators to solve addition and subtraction problems with unlike denominators.

Instruction on finding the least common multiple (LCM) and creating equivalent fractions to find common denominators.

Introduction to adding and subtracting fractions using visual area models and number lines to build conceptual understanding of unlike denominators.

Assessment of prerequisite skills including equivalent fractions and common multiples to identify specific gaps in student understanding.

Final summative assessment to measure growth and mastery of multi-digit multiplication strategies.

Scaffolded introduction to the standard algorithm for multi-digit multiplication, connecting each step back to place value.

Using rounding and estimation to check the reasonableness of products and applying skills to real-world word problems.

Connecting the visual area model to the written partial products method to bridge conceptual and procedural understanding.