CURRICULUM -> Back-mapped Standards with Clarifying Examples, K-3 | 4-5 | 6-8

Back-mapped Standards for Grades K-8 with Clarifying Examples

Knowledge of Number Relationships and Computation

Grades K-3

Kindergarten
Grade 1
Grade 2
Grade 3
Maryland State Standards Grade 3
6.K.1

.1 model small whole numbers in a variety of ways.

.2 read, write and count with whole numbers: count forward to 31 or beyond and backward from 10.

.3 recognize and write numerals 0 — 10 in meaningful contexts.

.4 use ordinals first through fifth.

Clarifying example

Given a set of 7 crayons, the student arranges them in a row with the red crayon 3rd in line and then writes the numeral that corresponds to the number of crayons in the set.

Given a calendar, the student counts the number of days in January and figures out how many days are between Tuesday and Friday.

6.1.1

.1 model 1- and 2-digit whole numbers in a variety of ways.

.2 read and write numerals to 100 and number words to ten.

.3 represent 1/2 and 1/3 in symbolic notation and pictures.

.4 use ordinal numbers first through tenth.

Clarifying Examples

Given paper and pencil, the student uses tallies to represent numbers to 100.

Given paper and pencil, the student creates a number line with numbers such as 87, 16, 43, and 7 identified.

Given a set of shapes, the student follows directions to put a square first, a circle second, and a triangle fifth.

6.2.1

.1 model multi-digit numbers.

.2 model common fractions.

.3 read and write numerals, including those that represent common fractions.

.4 read and write number words for numbers through 100.

Clarifying Examples

Given rubber bands and straws, the student creates bundles of 10 straws and bundles of 100 straws and represents numbers such as 132.

Given Unifix Cubes, the student models how 1/3 can represent part of a region or part of a set.

From dictation, write both numerals and words that represent numbers such as 87.

6.3.1

.1 read and write word names for numbers to 1,000.

.2 read and write numerals to express whole numbers and fractions.

.3 express 3- and 4-digit numbers in expanded notation.

.4 model, compare, and order fractions and using pictures and manipulatives.

Clarifying Examples

Given 1/3, 1/5, and 1/6, the student orders them from largest to smallest and explains his or her reasoning.

6.3.1 read, write, and represent whole numbers (cardinal and ordinal) and simple fractions using symbols, words, and models.
(MLO 4.1)

identify number values and relationships of whole numbers and simple fractions.

express numbers in expanded notation.

Grades 4-5

Grade 4
Grade 5
Maryland State Standards Grade 5
6.4.1

.1 read and write numbers less than one million and more than one hundredth using standard and expanded notation.

.2 use place value through millions.

.3 model mixed numbers.

.4 use positive and negative numbers in concrete situations

Clarify Examples

Given a number such as 134,793, the student writes it in expanded notation.

Given 1.50 and 1.5, the student explains why or why not they are equal.

6.5.1

.1 read, write and represent simple fractions, decimals, and percents using symbols, words and models

Clarifying Examples

Given a 10 by 10 grid with 52 of the cells shaded, the student expresses the shaded amount as a fraction, decimal, and percent and explains why each is correct.

Given paper and pencil, the student draws a number line that is eight inches long and that extends from 0 to 1. The student then places 2/3, 3/4, and 5/8 on the number line and writes decimal equivalents for each fraction.

6.5.1

read, write, and represent simple fractions, decimals, and percents using symbols, words, and models.
(MLO 4.1)

read and write standard form and expanded notation for numbers through millions.

Grades 6-8

Grade 6
Grade 7
Grade 8
Maryland State Standards
Grade 8
6.6.1

.1 explain positive numbers less than one

.2 read, write, and represent interchangeably fractions, decimals, and percents

Clarifying Examples:

Given a number such as 32, the student writes it in exponential notation.

Given a calculator and the fact that light travels at about 3 x 105 km/second, the student determines the speed of light in km/hour.

6.7.1

.1 explain large numbers and appropriately use exponential, scientific, and calculator notation

Clarifying Examples:

Given a very large number, such as 4,378,000,000,000,000,000,000, the student describes it in terms of relative size, expresses it using exponential or scientific notation, and computes with it using calculator notation.

6.8.1

.1 determine which representation of a rational number is appropriate for a given situation.

.2 represent rational numbers as needed for a given situation.

Clarifying Examples:

Given a situation involving discounts, the student works in fractions or percents as efficient. For example, the student works in percents when the discount is 10%, but may choose to work in fractions when the discount is 25% and the price is a factor of 4.

6.8.1 read, write, and represent rational numbers in a variety of forms, including exponents, scientific notation, and percents.

(MLO 4.1)

This document is also available in Adobe Acrobat PDF format: Back-mapped Standards with Clarifying Examples, K-8, Mathematics Content Standard 6.0 (41K)

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