Основно съдържание
Math
Oklahoma Math
Fourth Grade (4): Numbers & Operations (N)
Read, write, discuss, and represent whole numbers up to 1,000,000. Representations may include numerals, words, pictures, number lines, and manipulatives.
Use place value to describe whole numbers between 1,000 and 1,000,000 in terms of millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones with written, standard, and expanded forms.
Applying knowledge of place value, use mental strategies (no written computations) to multiply or divide a number by 10, 100 and 1,000.
- Divide whole numbers by 10
- Dividing whole numbers by 10
- Multiply 1-digit numbers by 10, 100, and 1000
- Multiply 1-digit numbers by a multiple of 10, 100, and 1000
- Multiply and divide by 10
- Multiply whole numbers by 10
- Multiplying 1-digit numbers by 10, 100, and 1000
- Multiplying whole numbers by 10
- Place value when multiplying and dividing by 10
- Place value when multiplying and dividing by 10
- Understand multiplying by a multiple of 10, 100, and 1000
Use place value to compare and order whole numbers up to 1,000,000, using comparative language, numbers, and symbols.
Demonstrate fluency with multiplication and division facts with factors up to 12.
Multiply 3-digit by 1-digit and 2-digit by 2-digit whole numbers, using various strategies, including but not limited to standard algorithms.
- Intro to standard way of multiplying multi-digit numbers
- Multiply 2-digit numbers
- Multiply 2-digit numbers with area models
- Multiply 2-digits by 1-digit with area models
- Multiply 2-digits by 1-digit with distributive property
- Multiply 3- and 4-digits by 1-digit with area models
- Multiply 3- and 4-digits by 1-digit with distributive property
- Multiply by taking out factors of 10
- Multiply using partial products
- Multiply with partial products (2-digit numbers)
- Multiply with regrouping
- Multiply without regrouping
- Multiplying 10s
- Multiplying 10s
- Multiplying 2-digit numbers
- Multiplying 3-digit by 1-digit
- Multiplying 3-digit by 1-digit (regrouping)
- Multiplying two 2-digit numbers using partial products
- Multiplying with area model: 16 x 27
- Multiplying with area model: 78 x 65
- Understanding the standard algorithm for multiplication
Estimate products of 3-digit by 1-digit and 2-digit by 2-digit whole number factors using a variety of strategies (e.g., rounding, front end estimation, adjusting, compatible numbers) to assess the reasonableness of results. Explore larger numbers using technology to investigate patterns.
Apply and analyze models to solve multi-step problems requiring the use of addition, subtraction, and multiplication of multi- digit whole numbers. Use various strategies, including the relationship between operations, the use of appropriate technology, and the context of the problem to assess the reasonableness of results.
Use strategies and algorithms (e.g., mental strategies, standard algorithms, partial quotients, repeated subtraction, the commutative, associative, and distributive properties) based on knowledge of place value, equality, and properties of operations to divide a 3-digit dividend by a 1-digit whole number divisor, with and without remainders.
- Create division equations with area models
- Divide by 1-digit numbers with area models
- Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Divide using place value
- Division with area models
- Division with partial quotients (remainder)
- Intro to long division (no remainders)
- Introduction to division with partial quotients (no remainder)
- Multiplication and division word problems
- Quotients that are multiples of 10
- Understanding remainders
Represent and rename equivalent fractions using fraction models (e.g., parts of a set, area models, fraction strips, number lines).
- Adding fractions with like denominators
- Creating equivalent fractions
- Decomposing a mixed number
- Equivalent fraction models
- Equivalent fraction visually
- Equivalent fractions
- Equivalent fractions
- Equivalent fractions (fraction models)
- Equivalent fractions (number lines)
- Equivalent fractions and different wholes
- Equivalent fractions on number lines
- Equivalent fractions with fraction models (denominators 10 & 100)
- Equivalent fractions with models
- Fraction word problem: piano
- More on equivalent fractions
- Subtracting fractions with like denominators
- Visualizing equivalent fractions review
- Visually converting tenths and hundredths
Use benchmark fractions (0, 1/4, 1/3, 1/2, 2/3, 3/4, 1) to locate additional fractions with denominators up to twelfths on a number line.
Use models to order and compare whole numbers and fractions less than and greater than one, using comparative language and symbols.
- Compare fractions using benchmark
- Compare fractions with different numerators and denominators
- Compare fractions with fraction models
- Compare fractions with the same numerator
- Compare fractions with the same numerator or denominator
- Compare fractions word problems
- Comparing fractions of different wholes
- Comparing fractions of different wholes 1
- Comparing fractions with the same numerator
- Comparing fractions word problems
- Comparing fractions: fraction models
- Comparing fractions: number line
- Comparing fractions: tape diagram
- Comparing unit fractions
- Decompose fractions
- Equivalent fractions (fraction models)
- Equivalent fractions (number lines)
- Equivalent fractions and different wholes
- Equivalent fractions on number lines
- Find 1 on the number line
- Fractions greater than 1 on the number line
- Fractions on the number line
- Relating fractions to 1
- Visually compare fractions with unlike denominators
- Visually comparing fractions review
Decompose a fraction into a sum of fractions with the same denominator in more than one way, using concrete and pictorial models and recording results with numerical representations (e.g., 3/4 = 1/4+1/4+1/4 and 3/4 = 2/4+1/4).
Use models to add and subtract fractions with like denominators.
- Add and subtract fractions word problems (same denominator)
- Add fractions with common denominators
- Adding fractions with like denominators
- Decompose fractions
- Decompose fractions visually
- Fraction word problem: lizard
- Fraction word problem: piano
- Fraction word problem: pizza
- Interpret dot plots with fractions 1
- Subtract fractions with common denominators
- Subtracting fractions with like denominators
Represent tenths and hundredths with concrete and pictorial models, making connections between fractions and decimals.
- Decimals in words
- Decimals on the number line: hundredths
- Decimals on the number line: hundredths 0-0.1
- Decimals on the number line: tenths
- Decimals on the number line: tenths 0-1
- Graphing hundredths from 0 to 0.1
- Graphing tenths from 0 to 1
- Identifying hundredths on a number line
- Identifying tenths on a number line
- Plotting decimal numbers on a number line
- Relate decimals and fractions in words
- Write common decimals as fractions
- Write common fractions as decimals
- Write decimal numbers shown in grids
- Write decimals and fractions greater than 1 shown on number lines
- Write decimals and fractions shown on number lines
- Write number as a fraction and decimal
- Writing a number as a fraction and decimal
- Writing decimals and fractions greater than 1 shown on grids
- Writing decimals and fractions shown on number lines
Read and write decimals in standard, word, and expanded form up to at least the hundredths place in a variety of contexts, including money.
- Decimal place value
- Decimal place value with regrouping
- Decimals as words
- Decimals in words
- Decimals on the number line: hundredths 0-0.1
- Decimals on the number line: tenths
- Decimals on the number line: tenths 0-1
- Finding place value
- Graphing hundredths from 0 to 0.1
- Graphing tenths from 0 to 1
- Identifying tenths on a number line
- Place value for decimals greater than 1
- Relate decimals and fractions in words
- Relating decimals and fractions in words
- Rewriting fractions as decimals
- Write decimal numbers shown in grids
- Write decimals and fractions greater than 1 shown on number lines
- Write decimals and fractions shown on number lines
- Write number as a fraction and decimal
- Writing a number as a fraction and decimal
- Writing decimals and fractions greater than 1 shown on grids
- Writing decimals and fractions shown on number lines
Compare and order decimals and whole numbers using place value and various models including but not limited to grids, number lines, and base 10 blocks.
Compare and order benchmark fractions (0, 1/4, 1/3, 2/3, 3/4, 1) and decimals (0, 0.25, 0.50, 0.75, 1.00) in a variety of representations.
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Select the fewest number of coins for a given amount of money up to one dollar.
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Given a total cost (dollars and coins up to twenty dollars) and amount paid (dollars and coins up to twenty dollars), find the change required in a variety of ways.