• Mathematics Power Standards Pre-Kindergarten - Grade 5

Pre-K:

It is critical that students...

know number names and the counting sequence.

count to tell the number of objects.

compare numbers.

describe and compare measurable attributes.

classify and count objects including money.

identify and describe shapes.

analyze, compare, create, and compose shapes.

Kindergarten:

It is critical that students...

know number names and the counting sequence.

count to tell the number of objects.

compare numbers.

work with numbers 11-19 to gain foundations for place value.

describe and compare measurable attributes.

classify objects and count the number of objects in a category.

identify and describe shapes.

analyze, compare, create, and compose shapes.

It is critical that students...

represent and solve addition/subtraction and understand the relationship between addition and subtraction.

add and subtract within 20 and work with addition and subtraction equations.

extend the counting sequence to 120.

understand place value.

use place value understanding and properties of operations to add and subtract.

measure lengths indirectly and by iterating length units (non-standard measurement).

tell and write time to the hour and half hour.

represent and interpret data.

work with money.

reason with shapes and their attributes.

It is critical that students...

represent and solve problems involving addition and subtraction through 100.

extend their understanding of place value to 1,000.

work with time, money, and data.

measure and estimate lengths in standard units.

reason with shapes and their attributes.

It is critical that students...

understand multiplication and division and the relationship between the two.

fluently multiply and divide within 100.

fluently add and subtract within 1,000.

understand unit fractions as part of a whole.

understand, recognize, and generate equivalent fractions.

compare fractions.

create picture and bar graphs to represent data with standard intervals.

recognize and measure area and perimeter using a variety of methods.

measure, estimate, and solve one step word problems with liquid volumes and with mass (grams).

tell and write time to the nearest minute and measure time intervals in minutes.

identify, categorize, and define four sided shapes.

It is critical that students...

use the four operations with whole numbers to solve problems.

understand factors and multiples to generate and analyze patterns.

understand and apply knowledge of place value to 1,000,000.

use place value understanding and properties of operations to perform multi-digit arithmetic.

understand equivalencies, ordering, and comparisons of fractions and decimals.

develop an understanding of addition and subtraction of fractions with like denominators; and multiplication of fractions by whole numbers.

solve problems involving measurement and conversion of measurements from a larger unit to a smaller one.

represent and interpret data.

apply the area and perimeter formulas for rectangles in real-world and mathematical problems.

understand geometric measurement, concepts of angles, and angle measurement.

understand properties of angles to construct and identify angles.

identify the name and properties of three dimensional shapes.

It is critical that students...

write and evaluate numerical expressions.

use the input/output model, given a rule, and graph the results.

understand the base ten place value system.

perform operations with multi-digit whole numbers and with decimals to the hundredths.

use equivalent fractions to add and subtract fractions with unlike denominators and mixed numbers.

apply and extend understandings of multiplication and division to fractions and apply that knowledge in real life situations such as area and scaling.

convert measurement units with a given measurement system.

understand how to represent and interpret data on a line plot and (dot plot) scatterplot.

understand concepts of volume involving multiplication.

graph points on a coordinate plane to solve real world mathematical problems.

classify two-dimensional figures into categories based on their properties.

solve real world and mathematical problems involving the area of triangles, quadrilaterals, and polygons.

become familiar with (introduce) concepts of positive and negative integers.

find the greatest common factor (GCF) and least common multiple (LCM) of two whole numbers.