Introduction to addition within 1000 using expanded form to emphasize the value of each digit.
Final application of fluency through collaborative games and problem-solving scenarios.
Synthesizing strategies to solve mixed multiplication and division problems within 100.
Exploring square numbers (e.g., 5x5, 6x6) through visual patterns and area models.
Discovering the 'ten minus one' pattern and other visual tricks for mastering the 9s.
Applying the distributive property to break apart larger facts into smaller, known chunks (focusing on 3s and 6s).
Using the clock and finger patterns to master 5s and 10s facts through rhythmic counting and visual cues.
Extending doubling strategies to master the 8s facts and building connections to smaller factors.
Building fluency with 2s and 4s by using the 'double' and 'double-double' strategy.
Exploring the relationship between multiplication and division using fact families and missing factor problems.
Introducing division as the inverse of multiplication, focusing on 'how many in each group' and 'how many groups'.
Connecting equal groups to the rows and columns of an array to build a spatial understanding of multiplication.
Focus on the meaning of multiplication as equal groups through visual representations and 'How Many Do You See?' routines.
A culminating activity where students apply all their skills to solve a "final case" involving multi-step problems and patterns.
Students summarize their learning by identifying and explaining various arithmetic rules and properties they have discovered.
Students solve complex word problems requiring multiple operations, choosing the correct order of steps.
Students represent two-step word problems using equations with a letter standing for the unknown quantity.
Students tackle two-step word problems involving multiplication and division, focusing on equal groups and fair shares.
Students solve two-step word problems involving addition and subtraction, using tape diagrams to represent the situation.
Students practice checking the reasonableness of their answers by comparing their exact results to their rounded estimates.
