Math Program
Investigations 3
Math Program
Investigations 3
Embedded Files
Investigations 3
Overview K-5
The Newton Public Schools mathematics program is designed to ensure that every child develops a comprehensive mathematical identity, meets grade level benchmarks and is challenged at their appropriate level. We believe that student success in school mathematics depends on a combination of teacher skill, a strong core program, sufficient time for instruction, teacher-guided exploration of mathematical ideas, individual practice, class discussion, reasoning about mathematical concepts and solving non-routine problems. In 2019, NPS fully implemented Investigations 3 in K-5. Students engage in interactive lessons, the Mathematical Practices and instructional routines in order to develop deep understanding of grade level concepts.Overview K-5
Unit 1: Counting People, Sorting Buttons
Unit 1: Counting People, Sorting Buttons
Classroom Routines and Materials
Classroom Routines and Materials
Learning Targets
Learning Targets
- Count and represent quantities
- Sort and classify shapes
- Collect, represent, describe, and interpret data
Essential Questions
Essential Questions
- How many?
- How are things the same?
- How are they different?
Instructional Snapshot
Students will:Instructional Snapshot
- Engage in routines such as Attendance, Calendar and Today’s Question that support counting, organizing and comparing quantities
- Explore math materials to be used all year
- Describe attributes of objects focusing on color, size and shape
- Participate in the Counting Jar activity to represent and record quantities
Unit 2: Counting Quantities, Comparing Lengths
Counting and Measurement 1
Unit 2: Counting Quantities, Comparing Lengths
Counting and Measurement 1
Learning Targets
Learning Targets
- Count and represent quantities
- Count and order quantities
- Understand length
Essential Questions
Essential Questions
- How many?
- Why do we measure?
- Which is longer? Which is shorter?
Instructional Snapshot
Students will:Instructional Snapshot
- Participate in the Counting Jar activity to represent and record quantities
- Compare lengths of different objects and cube towers
- Count and compare the length of their names
Unit 3: Make a Shape, Fill a Hexagon
Unit 3: Make a Shape, Fill a Hexagon
2-D Geometry
2-D Geometry
Learning Targets
Learning Targets
- Describe, identify, and compare 2-shapes
- Compose and decompose 2-D shapes
- Count and represent quantities
Essential Questions
Essential Questions
- What words can you use to describe shapes?
- What shapes can you make with other shapes?
Instructional Snapshot
Students will:Instructional Snapshot
- Explore pattern blocks and geoboards to compose and decompose shapes
- Fill puzzle outlines with pattern blocks
- Create a shape mural for the classroom
Unit 4: Collect, Count, and Measure
Unit 4: Collect, Count, and Measure
Counting and Measurement 2
Counting and Measurement 2
Learning Targets
Learning Targets
- Understand length
- Count and represent quantities
- Understand, represent, and solve problems involving addition and subtraction
- Compare and order quantities
Essential Questions
Essential Questions
- How many are there?
- How many now?
Instructional Snapshot
Students will:Instructional Snapshot
- Compare lengths of different objects and cube towers
- Practice subitizing and number writing with Roll and Record
- Solve addition and subtraction problems
Unit 5: Build a Block, Build a Wall
Unit 5: Build a Block, Build a Wall
3-D Geometry
3-D Geometry
Learning Targets
Learning Targets
- Describe, identify, and compare 3-D shapes
- Compose and decompose 3-D shapes
- Count and represent quantities
Essential Question
Essential Question
- How would you describe this block to a friend?
Instructional Snapshot
Students will:Instructional Snapshot
- Hunt for 3-D shapes
- Compare different 3-D shapes
- Identify the 2-D shapes on the faces of a 3-D shape
Unit 6: How Many Now?
Addition, Subtraction, and the Number System 1
Unit 6: How Many Now?
Addition, Subtraction, and the Number System 1
Learning Targets
Learning Targets
- Count and represent quantities
- Understand, represent, and solve addition and subtraction problems
Essential Questions
Essential Questions
- What is your strategy for counting and answering the question "How many?"
- How do you know which group has more/less?
Instructional Snapshot
Students will:Instructional Snapshot
- Use two ten frames to collect 20
- Count items in inventory bags
- Compare counts of bags
Unit 7: How Many Noses? How Many Eyes?
Unit 7: How Many Noses? How Many Eyes?
Modeling with Data
Modeling with Data
Learning Targets
Learning Targets
- Sort and classify
- Collect, represent, describe, and interpret data
- Compare and represent quantities
- Compare and order quantities
Essential Questions
Essential Questions
- How did you sort?
- Which do you like more? This or that?
Instructional Snapshot
Students will:Instructional Snapshot
- Develop their own survey questions and collect data
- Sort and count different categories of objects
Unit 8: Ten Frames and Teen Numbers
Unit 8: Ten Frames and Teen Numbers
Addition, Subtraction, and the Number System 2
Addition, Subtraction, and the Number System 2
Learning Targets
Learning Targets
- Count and represent quantities
- Understand, represent, and solve addition and subtraction problems
- Understand place value
- Understand weight
Essential Questions
Essential Questions
- How many do you have?
- How many more do you need to have ten?
- How many are left?
- How do you know which item is heavier?
Instructional Snapshot
Students will:Instructional Snapshot
- Play fluency games within 5
- Use ten frames to identify teen numbers as a ten and some more
- Measure and compare the weight of two objects
ST Math
ST Math
ST Math is an online visual instructional program that leverages the brain's innate Spatial-Temporal reasoning ability to solve mathematical problems. The program:
- Builds a strong conceptual foundation
- Teaches through challenging puzzles, non-routine problem solving, and formative feedback
- Eliminates language barriers, making puzzles accessible to all students
- Follows a learning progression, starting with more concrete problems that gradually become more abstract, shifting from non-symbolic to symbolic
- Integrates with Investigations, our core program, and complements the content of each unit
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