Major
Concept |
Topics |
Place Value, Whole numbers |
represent the value of the digit in whole numbers through
1,000,000,000 and decimals to the hundredths using
expanded notation and numerals
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Place Value |
interpret the value of each place-value position as 10 times the position to the right and as one-tenth of
the value of the place to its left, compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols
>, <, or = , round whole numbers to a given place value through the hundred thousands place, represent decimals, including tenths and hundredths, using concrete and visual models and money, compare and order decimals using concrete and visual models to the hundredths, determine the corresponding decimal to the tenths or hundredths place of a specified point on a number
line
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Add/subtract whole numbers |
Application
with whole numbers ,add and subtract whole number and decimals the the hundredths place. |
Represent Multiplication |
Represent multiplication using area model, partial products, the distributive property, mental math and an array: up to a 4 digits by 1 digit and 2 digit by 2 digit numbers.
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Multiplication |
determine the product of a number and 10 or 100, use strategies and algorithms to multiply up to a four digit number by a one digit number and a two 2-digit numbers.
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Division |
use strategies to divide up to a 4 digit number by a one digit number.
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Multiplication and Division Problem Solving |
Solve with fluency, one-step and two step problems involving multiplication and division, including interpreting the remainder.
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Algebra |
represent multi-step
problems involving the four operations with whole numbers, use strip diagrams, equations with a letter standing for the unknown quantity.
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Fraction Concepts |
represent equivalent
fractions using a variety of objects and pictorial models, including number lines; decompose fractions in more than one way, determine equivalent fractions, compare fractions, solve addition and subtractions of fractions problems, use benchmark fractions to determine the reasonableness of sums and differences of fractions
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Compare fractions |
compare two fractions with different numerators or denominator and representing the relationship using comparison symbols.
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number patterns |
represent problems using an input-output table and
numerical expressions to generate a number pattern that
follows a given rule representing the relationship of the
values in the resulting sequence and their position in the
sequence
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Geometry concepts |
classify two-dimensional figures based on the presence or
absence of parallel or perpendicular lines or the presence
or absence of angles of a specified size, determine the approximate measures of angles in degrees
to the nearest whole number using a protractor
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Area and Perimeter |
solve problems related to perimeter and area of
rectangles where dimensions are whole numbers
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Measurements |
solve problems that deal with measurements of length,
intervals of time, liquid volumes, mass, and money using
addition, subtraction, multiplication, or division as
appropriate
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Data Tables |
represent data on a frequency table, dot plot, or stem and-leaf plot marked with whole numbers and fractions
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Time and money
Financial Literacy
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solve problems that deal with measurements of intervals of time, and money using addition, subtraction, multiplication, or division as appropriate
distinguish between fixed and variable expenses, calculate profit in a given situation, describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and
lending
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