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Math
Oklahoma Math
Fifth Grade (5): Numbers & Operations (N)
Represent decimal fractions using a variety of models (e.g., 10 by 10 grids, base-ten blocks, meter stick) and show the rational number relationships among fractions, decimals and whole numbers.
Read, write, and represent decimals using place value to describe decimal numbers including fractional numbers as small as thousandths and whole numbers up to seven digits.
- Decimal place value review
- Decimals in expanded form
- Decimals in expanded form review
- Decimals in written and expanded form
- Decimals in written form
- Decimals in written form (hundredths)
- Decimals in written form (thousandths)
- Decimals in written form review
- Expressing decimals in multiple forms
- Fractions as division by power of 10
- Place value names
- Place value with decimals
- Regroup decimals
- Regrouping with decimals
- Regrouping with decimals: 21.3
- Strategies for multiplying decimals and whole numbers
- Understand decimal rounding
- Visual understanding of regrouping decimals
- Write decimals in expanded form
Compare and order decimals and fractions, including mixed numbers and fractions less than one, and locate on a number line.
- Compare decimal place value
- Compare decimals in different forms
- Compare decimals through thousandths
- Compare decimals word problems
- Comparing decimals in different representations
- Comparing decimals word problems
- Comparing decimals: 156.378 and 156.348
- Comparing decimals: 9.97 and 9.798
- Comparing fractions 1 (unlike denominators)
- Comparing numbers represented different ways
- Decimals on the number line: thousandths
- Fraction multiplication as scaling
- Order decimals
- Ordering decimals
- Ordering decimals through thousandths
- Rounding decimals on the number line
- Thousandths on the number line
Recognize and generate equivalent terminating decimals, fractions, mixed numbers, and fractions in various models.
- Common denominators review
- Common denominators: 1/4 and 5/6
- Common denominators: 3/5 and 7/2
- Common fractions and decimals
- Equivalent expressions with common denominators
- Finding common denominators
- Mixed numbers and improper fractions review
- Multi-digit multiplication
- Rewriting decimals as fractions: 0.15
- Rewriting decimals as fractions: 0.36
- Rewriting decimals as fractions: 0.8
- Rewriting decimals as fractions: 2.75
- Writing decimals as fractions review
- Writing improper fractions as mixed numbers
- Writing mixed numbers as improper fractions
Estimate solutions to division problems to assess the reasonableness of results.
- Estimate multi-digit division problems
- Estimating decimal division
- Estimating decimal multiplication
- Estimating division that results in non-whole numbers
- Estimating multi-digit division
- Estimating quotients
- Estimating with dividing decimals
- Fractions as division word problems
- Understanding decimal multiplication
Divide multi-digit numbers, by one- and two-digit divisors, based on knowledge of place value, including but not limited to standard algorithms.
- Basic multi-digit division
- Divide by taking out factors of 10
- 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
- Divide whole numbers to get a decimal (2-digit divisors)
- Divide with remainders (2-digit by 1-digit)
- Dividing by 2-digits: 7182÷42
- Dividing by 2-digits: 9815÷65
- Dividing by a 2-digits: 4781÷32
- Division by 2-digits
- Division using place value
- Division word problem: field goals
- Interpret remainders
- Interpreting remainders
- Intro to long division (no remainders)
- Introduction to dividing by 2-digits
- Long division with remainders: 2292÷4
- Long division with remainders: 3771÷8
- Multiply and divide decimals by 10, 100, and 1000
- Multiply and divide whole numbers by 10, 100, and 1000
- Multiplying and dividing by 10, 100, 1000
- Multiplying and dividing decimals by 10
- Multiplying and dividing decimals by 10, 100, 1000
- Strategies for dividing multiples of 10, 100, and 1000
Recognize that remainders can be represented in a variety of ways, including a whole number, fraction, or decimal. Determine the most meaningful form of a remainder based on the context of the problem.
- Divide by 1-digit numbers with area models
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Divide whole numbers to get a decimal (2-digit divisors)
- Divide whole numbers with decimal quotients: 5÷2
- Divide whole numbers with decimal quotients: 78÷12
- Divide with remainders (2-digit by 1-digit)
- Interpreting remainders
- Introduction to remainders
Construct models to solve multi-digit whole number problems requiring addition, subtraction, multiplication, and division using various representations, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Estimate sums and differences of fractions with like and unlike denominators, mixed numbers, and decimals to assess the reasonableness of the results.
Illustrate addition and subtraction of fractions with like and unlike denominators, mixed numbers, and decimals using a variety of mathematical models (e.g., fraction strips, area models, number lines, fraction rods).
- Add fractions with unlike denominators
- Adding fractions (denominators 10 & 100)
- Adding fractions with unlike denominators
- Adding fractions with unlike denominators introduction
- Adding fractions: 7/10+13/100
- Decomposing hundredths
- Decomposing hundredths on number line
- Introduction to adding decimals: tenths
- Strategies for subtracting more complex decimals with tenths
- Subtract decimals visually
- Visually add and subtract fractions
- Visually adding fractions: 5/6+1/4
Add and subtract fractions with like and unlike denominators, mixed numbers, and decimals, involving money, measurement, geometry, and data. Use various models and efficient strategies, including but not limited to standard algorithms.
- Add and subtract fractions
- Add and subtract fractions word problems
- Add and subtract mixed numbers with unlike denominators (no regrouping)
- Add and subtract mixed numbers with unlike denominators (regrouping)
- Add decimals visually
- Adding and subtracting 3 fractions
- Adding decimals
- Adding decimals (hundredths)
- Adding fractions word problem: paint
- Adding mixed numbers with regrouping
- Adding mixed numbers: 19 3/18 + 18 2/3
- Convert money word problems
- Estimating with subtracting decimals
- Fraction word problem: spider eyes
- Interpret dot plots with fraction operations
- Line plot distribution: trail mix
- More advanced subtraction strategies with hundredths
- Solving for the missing fraction
- Strategies for subtracting basic decimals
- Strategies for subtracting more complex decimals with tenths
- Subtract decimals (hundredths)
- Subtract decimals < 1 (hundredths)
- Subtract decimals < 1 (tenths)
- Subtract decimals and whole numbers (hundredths)
- Subtract decimals visually
- Subtracting decimals
- Subtracting decimals (tenths)
- Subtracting decimals and whole numbers (tenths)
- Subtracting decimals: 10.1-3.93
- Subtracting decimals: 9.57-8.09
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators
- Subtracting fractions with unlike denominators introduction
- Subtracting mixed numbers with like denominators word problem
- Subtracting mixed numbers: 7 6/9 - 3 2/5
- Subtraction strategies with hundredths
- Visually add and subtract fractions
- Visually subtracting fractions: 3/4-5/8
Apply mental math and knowledge of place value (no written computations) to find 0.1 more or 0.1 less than a number, 0.01 more or 0.01 less than a number, and 0.001 more or 0.001 less than a number.
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