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.
Unit 1: Building Numbers and Solving Story Problems
Addition, Subtraction, and the Number System 1
Learning Targets
Understand and extend the counting sequence
Describe, identify and compare attributes of 2-D shapes
Understand, represent, and solve problems involving addition
Understand, represent, and solve problems involving subtraction
Essential Questions
How many?How many are there now?
Instructional Snapshot
Students will:
Learn classroom routines
Play addition and subtraction games like Five in a Row, and Roll and Record
Solve story problems involving addition and subtraction
Unit 2: Comparing and Combining Shapes
2-D Geometry
Learning Targets
Describe, identify, and compare attributes of 2-D shapes
Compose and decompose 2-D shapes
Essential Questions
What is the difference between sides and corners?
How is this shape the same or different from other shapes?
Instructional Snapshot
Students will:
Find many ways to make a hexagon
Sort and describe shapes
Play Guess My Rule
Unit 3: How Many of Each? How Many in All?
Addition, Subtraction, and the Number System 2
Learning Targets
Understand, represent, and solve problems involving addition and subtraction
Understand place value
Understand and extend the counting sequence
Understand equivalence
Essential Questions
How many tens are there in this number?
How many ones?
Instructional Snapshot
Students will:
Develop fluency for facts within 10 through games
Solve problems with unknown change
Identify tens and ones on a hundreds chart
Unit 4: Fish Lengths and Fraction Rugs
Measurement and Fractions
Learning Targets
Understand length
Use linear units
Understand, represent, and solve problems involving addition and subtraction
Understand time
Understand halves and fourths
Essential Questions
How long is it?
Is this longer or shorter?
What time is it?
Instructional Snapshot
Students will:
Measure items with standard and non standard units of measure
Tell time to the hour
Identify halves of different 2-D shapes
Unit 5: Number Games and Crayon Problems
Addition, Subtraction, and the Number System 3
Learning Targets
Understand, represent, and solve problems involving addition and subtraction
Understand place value
Understand equivalence
Essential Questions
How many ways can you make 10?
What tools and strategies can you use to solve subtraction problems when the change is unknown?
Instructional Snapshot
Students will:
Play games focusing on fluency within 10, and pairs that make 10
Solve problems about unknown change
Write and find equivalent expressions
Unit 6: Would You Rather Be an Eagle or a Whale?
Modeling with Data
Learning Targets
Collect, represent, describe, and interpret data
Understand, represent, and solve problems involving addition and subtraction
Essential Questions
Based on your quick survey data, what do you notice?
What do you wonder?
Instructional Snapshot
Students will:
Solve comparison problems with bigger number unknown
Represent survey data
Take a quick survey and analyze results
Unit 7: How Many Tens? How Many Ones?
Addition, Subtraction, and the Number System 4
Learning Targets
Understand and extend the counting sequence
Understand place value
Use knowledge of place value to add and subtract
Essential Questions
How did you solve this problem?
How can you use tens and ones when adding?
Instructional Snapshot
Students will:
Count by tens
Add and subtract multiples of 10
Compare numbers using greater than and less than
Add and subtract using the 100 chart
Unit 8: Blocks and Buildings
3-D Geometry
Learning Targets
Describe, identify, and compare attributes of 3-D shapes
Compose and decompose 3-D shapes
Relate 2-D and 3-D shapes
Essential Questions
How are these two shapes the same and different?
Can you think of a real life object that has this shape?
Instructional Snapshot
Students will:
Explore characteristics of 3-D shapes
Draw and build 3-D shapes
Identify 2-D shapes they see in the faces of 3-D shapes
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
Students engage with the program during the math block or at other times during the school day.