Visualizing with Tape Diagrams

Introduces early 3-digit numbers (100-120), visual skip-counting (2s, 5s, 10s) using constellation maps, and ordering cosmic objects to build sequential logic.

Focuses on identifying double-digit numbers (10-99), representing them using ten-frames and printable base-ten icons, and writing numbers in expanded place value charts (tens and ones) with clear physical boundaries.

Covers single-digit subtraction (1-9) with cosmic countdowns, crossing-out stars or rocket fuel cells, embedded touch-points for backwards counting, and structured workspace templates.

Focuses on single-digit addition (1-9) using embedded touch-point numbers, pictorial representations of spaceships and stars, a persistent 1-20 number path, and large guided workspace boxes for physical alignment.

Week 4 is the capstone week where students synthesize their additive and subtractive decimal skills in the context of money. They solve multi-step commercial transactions, balance credit records, and purchase starship upgrades.

Week 3 focuses on partitioning, equivalent fractions, and adding or subtracting fractions with like and unlike denominators. Students practice fair-sharing reactor cores, dividing cargo weight, and mapping stellar orbits using fraction bars.

Week 2 focuses on mastering whole-number regrouping and multi-column carrying in the context of starship cargo inventories. Students use base-10 blocks to bundle ones into tens and tens into hundreds, bridging visual modeling directly to standard vertical algorithms.

Week 4 focuses on standard algorithm decimal addition and subtraction, multi-step problem consolidation, and direct assessment of skills to confirm crew flight readiness.

Week 3 focuses on multi-step additive reasoning, decimal subtraction, and aligning coordinates using star charts and compass tools to plan flight vectors for the fleet.

Week 2 focuses on decimal addition and subtraction with and without regrouping, using visual decimal grids and standard plastic base-10 blocks to represent tenths and hundredths in solar charging grid scenarios.

Week 1 focuses on deepening place value understanding and multi-step addition of decimals and whole numbers in space grid systems. Students practice regrouping tenths and wholes, balancing battery loads, and tracking fuel payload readings.

An intervention lesson on dividing fractions using concrete visual models (fraction bars and circles) to build conceptual understanding before moving to the standard algorithm.

A comprehensive math lesson focused on 3-digit addition with regrouping, utilizing visual base-ten block models and place value charts to guide students from conceptual understanding to standard algorithm mastery.

A highly visual, hands-on lesson that introduces double-digit addition with regrouping using base-ten blocks. Students learn to draw ones blocks, group ten of them together to trade for a tens rod, and record the regrouping process in the standard algorithm.