Units of Study
|
Grade Level
|
Goals
|
Resources
|
|
K
|
- Represent, relate, and operate on whole numbers, initially with sets of objects.
- Use geometric ideas and vocabulary to describe shapes and space.
|
Investigations
Bridges
Dreambox
|
|
1
|
- Demonstrate an understanding of addition and subtraction.
- Use strategies to add and subtract within 20
- Demonstrate an understanding of whole number relationships and place value within 100, including grouping in tens and ones.
- Demonstrate an understanding of linear measurement and measure
lengths as iterating length units.
- Reason about attributes of, and compose and decompose two- and three-
dimensional shapes.
|
|
2
|
- Demonstrate extended understanding of the base-ten system to 1000.
- Represent and solve problems involving addition and subtraction within 1000.
- Fluently add and subtract within 20.
- Measure and estimate lengths, time, and money using standard units.
- Describe and reason with shapes and their attributes.
|
|
3
|
- Represent and solve problems involving multiplication and division and understand the relationship between multiplication and division.
- Multiply and divide within 100.
- Solve problems involving the four operations and identify and explain patterns in arithmetic.
- Demonstrate understanding of fractions as numbers, especially unit fractions (fractions with numerator 1).
- Demonstrate understanding of the structure of rectangular arrays and of area.
- Describe and analyze two-dimensional shapes.
- Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
|
|
4
|
- Use place value understanding and properties of operations to demonstrate understanding and fluency with multi-digit multiplication and division involving multi-digit dividends.
- Use the four operations to solve problems, including problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
- Demonstrate place value understanding for multi-digit whole numbers.
- Demonstrate an understanding of fraction equivalence and ordering.
- Apply and extend previous understandings of operations on whole numbers to add and subtract fractions with like denominators and multiply fractions by whole numbers.
- Demonstrate understanding of decimal notation for fractions and compare decimal fractions.
- Analyze and classify geometric figures based on their properties, such as having parallel sides, perpendicular sides, particular angle measurements, and symmetry.
|
|
5
|
- Demonstrate fluency with addition and subtraction of fractions.
- Apply and extend previous understandings of multiplication and division to multiply and divide fractions (unit fractions divided by whole numbers and whole numbers divided by unit fractions).
- Demonstrate understanding of the place value system, including decimals and decimal fractions.
- Divide with 2-digit divisors.
- Compute fluently with multi-digit whole numbers and with decimals to
hundredths.
- Demonstrate understanding of volume as an attribute of three-dimensional shapes.
|
|
6
|
- Connect ratio and rate to whole number multiplication and division.
- Use concepts of ratio and rate to solve problems.
- Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
- Extend the notion of number to the system of rational numbers, which includes negative numbers.
- Apply and extend previous understandings of arithmetic to write, interpret, and use algebraic expressions and equations.
- Reason about and solve one-variable equations and inequalities.
- Represent and analyze quantitative relationships between dependent and independent variables.
- Demonstrate understanding of statistical thinking.
- Reason about relationships among shapes to solve problems involving area, surface area, and volume.
|
Illustrative
Dreambox
|