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NUMBERS / NUMBER SENSE |
ALGEBRA / PATTERNS |
DATA / PROBABILITY |
GEOMETRY |
MEASUREMENT |
COMPUTATION |
| PK |
Manipulate objects to explore number sense. |
Manipulate objects to explore patterns. |
Collect and organize data. |
Examine basic shapes |
Explore the concept of measurement. |
Count and sort using manipulatives. |
| K |
Identify and use numbers and objects to investigate number sense |
Manipulate objects to investigate patterns |
Collect and display data |
Identify basic shapes |
Identify basic shapes |
Model appropriate whole number operations with manipulatives |
| 1st |
Develop number meaning and number relationships |
Identify patterns involving numbers and shapes |
Collect, organize, and compare data and explore possible outcomes |
Identify characteristics of shapes |
Manipulate and identify a variety of measurement tools |
Model appropriate whole number operations with manipulatives and symbols |
| 2nd |
Use and identify number sense and number relationships. |
Create and extend patterns involving shapes, numbers and data. |
Collect, organize, and compare data and communicate possible outcomes. |
Classify geometric shapes and explore spatial sense. |
Use appropriate standard unit of measurement. |
Perform appropriate whole number operations. |
| 3rd |
Apply number sense and number relationships for whole numbers and investigate fractions. |
Apply patterns involving numbers and data. |
Collect and organize data and make predictions. |
Model geometric shapes, using geometric properties and spatial sense. |
Select and use appropriate standard units of measurement. |
Use appropriate whole number operations. |
| 4th |
Apply number sense and number relationships for whole numbers and fractions. |
Apply and interpret patterns involving numbers and data. |
Collect, organize, and compare data and formulate predictions based on probability. |
Make geometric shapes, using spatial sense and geometric relationships. |
Apply and estimate measurement. |
Estimate and compute with whole numbers using appropriate operations. |
| 5th |
Solidify whole number sense and investigate relationships between fractions and decimals. |
Identify and describe patterns using variables and expressions. |
Determine probability through data collection and display results. |
Identify and relate geometric shapes and terms to the real world. |
Select appropriate units and tools to measure for real-world accuracy. |
Estimate and compute with whole numbers. |
| 6th |
Solidify fraction and decimal number sense. |
Use functional relationships to explain how one change in quantity affects another. |
Formulate and solve problems using collected data obtained by a variety of methods. |
Apply basic geometric formulas of perimeter, area, and volume. |
Solidify linear measurement skills and convert units within the same system. |
Estimate and compute with fractions and decimals. |
| 7th |
Apply the properties of fractions and decimals and investigate the concept of integers. |
Solve simple linear equations in problem solving using a variety of methods. |
Use measures of central tendency and variability to analyze data and display the results. |
Solidify the use of geometric formulas and use the properties of circles. |
Solidify conversions and use appropriate units and tools to measure. |
Solidify estimation and computation with fractions and decimals. |
| 8th |
Solidify rational numbers sense. |
Use algebraic methods to represent, describe, and analyze patterns and relationships involving numbers, shapes, and data. |
Collect, display, and analyze data using statistical methods and make inferences based on probability models. |
Apply geometric concepts, properties, spatial sense, and relationships. |
Use a variety of tools and techniques to measure and apply results. |
Estimate and compute with fractions, decimals, and integers. |