A targeted 10-minute intervention lesson using visual models to help third-grade students grasp the concept of equivalent fractions.

A culminating challenge where students use all properties to solve a complex multi-step problem.

Building fact families to illustrate the inverse relationship between multiplication and division.

Connecting division to multiplication by finding missing factors in array models.

Using the associative property to find more efficient paths to solving multiplication problems.

Modeling three-factor multiplication using 3D block structures or stacked arrays.

Introduction to the associative property by exploring how grouping three factors differently results in the same product.

Connecting decomposing arrays to the formal notation of the distributive property using parentheses.

Using area models to visually break apart complex arrays into two smaller, easier-to-manage arrays.

Introduction to the distributive property by decomposing larger factors into 5 and 2.

Students apply the commutative property to solve context-based problems and match expressions to visual models.

Students reinforce the commutative property by translating equal groups into arrays and vice versa.

Students explore the commutative property of multiplication using arrays and physical tiles to understand that order does not change the total.

A culminating measurement challenge where students apply all skills to measure and compare lab 'specimens'.

Students use their measurement skills to compare two objects by measuring each with the same unit.

Students develop estimation skills by predicting how many units long an object is before measuring.

Students measure paths that are not straight lines by using flexible units or decomposing the path.

Students practice precise measurement by identifying common errors like gaps, overlaps, and crooked lines.

Students measure the same object using different units (paperclips vs. tiles) and compare the results.

Students measure objects using connecting cubes, ensuring no gaps or overlaps.

Students transition from descriptive comparison to measuring with a repeated unit, exploring why units are helpful.

Students apply indirect comparison strategies to solve real-world problems involving objects across the room.

Students compare the length of two objects that cannot be moved together by using a third object (a string or paper strip).

Students order three objects by length, identifying the longest and shortest in a set.

Students compare the length of two objects directly by lining up endpoints and using the language 'longer than' and 'shorter than'.

Students will learn to partition rectangles, circles, and hexagons into sixths and eighths, ensuring all parts are equal in area and labeled correctly as unit fractions.

Advanced situations involving 'Start Unknown' and mixed problem types.

Solving word problems with three addends focusing on commutative and associative properties.

Solving word problems with three addends using the 'Make a Ten' strategy.