Units and Big Ideas in Grade K of InsightMath Texas
Unit 0 (Doing Mathematics) sets the foundation for this course by establishing routines, process skills, and mindsets essential for success in learning mathematics. Unit 1 (Discovering Mathematics) builds on this foundation by having students explore what mathematics is through play, exploration, and use of informal language to describe what they see and experience. Students use their existing experience to make many kinds of comparisons, and then more formally explore direct comparisons of length.
Counting and cardinality is a major focus of mathematics in grade K, and the progression of counting to meet the Student Expectations is spread across all units of the course. In Unit 2 (Exploring Numbers), the focus is on cardinality, understanding that each number in the count sequence represents one more than the previous number, and comparing sets of objects. Through discovery, students begin to see sets of objects in parts in Unit 3 (Discovering Parts and Totals) and describe a number as parts and a total. This paves the way for the introduction of addition and subtraction in Unit 4 (Discovering Addition and Subtraction). Addition and subtraction begin with active situations in which students actively add or remove objects and represent the scenario with symbolic equations. In Unit 6 (Exploring Parts and Totals), addition and subtraction schema extends to part-part-total situations.
Unit 5 (Discovering Shapes) introduces students to the realm of geometry and students apply their thinking of parts and totals to shapes and use similar language to describe and compare attributes. Unit 10 (Discovering Number Structure) extends this thinking further as students explore the importance of 10 in the number system while investigating the structure of numbers beyond 10.
The last three units of the course all provide avenues for synthesizing learning, consolidating skills, and building fluency with symbolic representations through relevant contextual opportunities. Unit 8 (Discovering Data) utilizes data contexts for a wide variety of problem-solving combined with interpretation of the mathematics in context. Unit 9 (Discovering Financial Literacy) provides students opportunities to think about numbers in the context of money in society. Unit 10 (Building Number Sense and Fluency) provides time for students to build procedural fluency with symbolic comparison, addition, and subtraction.
| Count Sequence | Counting Objects | Count Out | Counting Back | Counting On from Any Number | Skip Counting | |
| Unit 1 | 1-10 | Up to 10 moveable objects | From 10 | |||
| Unit 2 | 1-20 | Up to 10 static objects in structured arrangements | Up to 10 objects | From 10 | ||
| Unit 3 | 1-20 | Up to 20 moveable objects Up to 20 static objects in structured arrangements Up to 10 in random arrangements | From 20 or any number within 20 | |||
| Unit 4 | 1-40 | Up to 20, structured arrangements
| From 20 or any number within 20 | Within 40 | ||
| Unit 5 | 1-60 | Up to 20, structured or random arrangements | From 20 or any number within 20 | Within 60 | ||
| Unit 6 | 1-60 | Up to 20, structured or random arrangements | From 40 or any number within 40 | Within 60 | ||
| Unit 7 | 1-100 | Up to 20, structured or random arrangements | Up to 20 objects | From 100 or any number within 60 | Within 60 | By 10s to 100 |
| Unit 8 | 1-100 | Up to 20, structured or random arrangements | Up to 20 objects | From 100 or any number within 60 | Within 100 | By 10s to 100 |
| Unit 9 | 1-100 | Up to 20, structured or random arrangements | Up to 20 objects | From 100 or any number within 100 | Within 100 | By 10s to 100 |
| Unit 10 | 1-100 | Up to 20, structured or random arrangements | Up to 20 objects | From 100 or any number within 100 | Within 100 | By 10s to 100 |
Counting Progression in Grade K