4.3.5: Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

4.3.5.01Recognize that in a multi-digit whole number, a digit in one place represents 10 times what it represents in the place to its right.4.3.5.02Compare and order whole numbers from 0 to 1,000,000 with place value understanding, number lines and other tools using >, = and < symbols to record the results of comparisons.4.3.5.03Estimate sums and differences, within 1,000,000, using strategies based on place value, approximation and properties of operations.4.3.5.04Estimate products and quotients of multi-digit whole numbers by using simple multiplicative relationships, approximation and place value to assess the reasonableness of results.4.3.5.05Fluently multiply two numbers from 0 to 12 using flexible strategies based on the associative, commutative and distributive properties of multiplication.4.3.5.06Use place value language to describe how to multiply a number by 10, 100 and 1,000.4.3.5.07Flexibly decompose numbers into addends or factors to multiply two two-digit numbers and multiply a one-digit number, by up to a four-digit number. Justify the strategy using equations, rectangular arrays and area models.4.3.5.08Solve contextual situations using division with dividends up to the thousands place and using one-digit divisors. Strategies may include using visual models, partial quotients, the commutative, associative and distributive properties and repeated subtraction.4.3.5.09Solve multi-step contextual situations requiring the use of addition, subtraction and multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology and the context of the situation to assess the reasonableness of results.4.3.5.10Read, write, represent and plot on a number line fractional values between 0 and 3, including mixed numbers and fractions greater than 1 with denominators of 2, 3, 4, 5, 6, 8, 10 and 12. Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers.4.3.5.11Explain why a fraction a/b is equivalent to the product a x 1/b using visual models and language.4.3.5.12Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.4.3.5.13Compare and order fractions between 0 and 3 and justify reasoning using pictures, position on a number line and selecting, when appropriate, among strategies such as using a common numerator, referencing a benchmark and using a common denominator.4.3.5.14Recognize the relationship between decimals and fractions. Read and write decimals and fractions in both decimal and fraction notations using words, symbols and expanded form. Recall the fraction and decimal equivalent forms of one-half, one-quarter and three-quarters.4.3.5.15Compare and order decimal values to the hundredths and justify using place value language, a number line and models such as dimes, pennies, 10 x 10 grids and base 10 blocks. Use place value concepts to name and model equivalent forms of decimal values.4.3.5.16Use visual models to add and subtract fractions with denominators of 2, 4 and 8 with results up to 2.4.3.5.17Use the four operations to make financial decisions based on income, spending, saving, credit and charitable giving.

1-on-1 AI tutoring aligned to 4.3.5. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →