Основно съдържание
Math
Oklahoma Math
Sixth Grade (6): Numbers & Operations (N)
Use manipulatives and models (e.g., number lines) to determine positive and negative numbers and their contexts, identify opposites, and explain the meaning of 0 (zero) in a variety of situations.
Compare and order positive rational numbers, represented in various forms, or integers using the symbols "<", ">", and "=".
Explain that a percent represents parts “out of 100” and ratios “to 100.”
- Converting decimals and percents review
- Converting percents and fractions review
- Converting percents to decimals & fractions example
- Finding common percentages
- Finding percentages with a double number line
- Finding the whole with a tape diagram
- Intro to percents
- Meaning of 109%
- Percent of a whole number
- Percent word problem: recycling cans
- Percents from fraction models
- The meaning of percent
Determine equivalencies among fractions, mixed numbers, decimals, and percents.
- Converting between percents, fractions, & decimals
- Converting decimals and percents review
- Converting percents and fractions review
- Converting percents to decimals & fractions example
- Create double number lines
- Creating mixed numbers with fraction division
- Equivalent representations of percent problems
- Find percents visually
- Finding common percentages
- Finding percentages with a double number line
- Fraction, decimal, and percent from visual model
- Percent word problem: recycling cans
- Percents from fraction models
- Percents from fraction models
- Ways to rewrite a percentage
Estimate solutions for integer addition and subtraction of problems in order to assess the reasonableness of results.
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Illustrate addition and subtraction of integers using a variety of representations.
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Add and subtract integers in a variety of situations; use efficient and generalizable procedures including but not limited to standard algorithms.
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Identify and represent patterns with whole-number exponents and perfect squares. Evaluate powers with whole-number bases and exponents.
Factor whole numbers and express prime and composite numbers as a product of prime factors with exponents.
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Determine the greatest common factors and least common multiples. Use common factors and multiples to calculate with fractions, find equivalent fractions, and express the sum of two-digit numbers with a common factor using the distributive property.
- Factor with distributive property (variables)
- Factor with the distributive property
- Factor with the distributive property (no variables)
- Greatest common factor
- Greatest common factor examples
- Greatest common factor explained
- Greatest common factor review
- Least common multiple
- Least common multiple
- Least common multiple of three numbers
- Least common multiple review
- Least common multiple: repeating factors
Identify and use ratios to compare and relate quantities in multiple ways. Recognize that multiplicative comparison and additive comparison are different.
- Basic ratios
- Basic ratios
- Create double number lines
- Equivalent ratio word problems
- Equivalent ratio word problems
- Equivalent ratio word problems (basic)
- Equivalent ratios
- Equivalent ratios in the real world
- Intro to rates
- Intro to ratios
- Part-part-whole ratios
- Part:whole ratio word problem
- Part:whole ratios
- Rate problems
- Ratio tables
- Ratio tables
- Ratios and double number lines
- Ratios and measurement
- Ratios and units of measurement
- Ratios on coordinate plane
- Ratios with double number lines
- Ratios with tape diagrams
- Relate double numbers lines and ratio tables
- Solving ratio problems with tables
- Understand equivalent ratios in the real world
- Understanding equivalent ratios
Determine the unit rate for ratios.
- Comparing rates
- Comparing rates example
- Equivalent ratio word problems
- Intro to rates
- Rate problems
- Rate problems
- Rate review
- Ratio tables
- Ratios and double number lines
- Ratios and measurement
- Ratios and units of measurement
- Ratios with tape diagrams
- Solving unit price problem
- Solving unit rate problem
- Understanding equivalent ratios
- Unit rates
Apply the relationship between ratios, equivalent fractions, unit rates, and percents to solve problems in various contexts.
- Benchmark percents
- Comparing rates
- Comparing rates example
- Create double number lines
- Equivalent ratio word problems
- Equivalent ratio word problems
- Equivalent ratio word problems (basic)
- Equivalent ratios in the real world
- Equivalent representations of percent problems
- Find percents visually
- Finding percents
- Intro to rates
- Part-part-whole ratios
- Part:whole ratio word problem
- Part:whole ratios
- Percent word problem: recycling cans
- Percent word problems
- Rate problems
- Ratio tables
- Ratio tables
- Ratios and double number lines
- Ratios and measurement
- Ratios and units of measurement
- Ratios on coordinate plane
- Ratios with double number lines
- Ratios with tape diagrams
- Relate double numbers lines and ratio tables
- Solving ratio problems with tables
- Solving unit price problem
- Solving unit rate problem
- Understand equivalent ratios in the real world
- Understanding equivalent ratios
- Unit rates
Estimate solutions to problems with whole numbers, decimals, fractions, and mixed numbers, and use the estimates to assess the reasonableness of results in the context of the problem.
Illustrate multiplication and division of fractions and decimals to show connections to fractions, whole number multiplication, and inverse relationships.
- Divide whole numbers by fractions
- Dividing a decimal by a whole number on the number line
- Dividing a decimal by a whole number with fraction models
- Dividing a unit fraction by a whole number
- Dividing a whole number by a decimal on a number line
- Dividing a whole number by a unit fraction
- Dividing fractions word problems
- Dividing fractions: 3/5 ÷ 1/2
- Dividing unit fractions by whole numbers
- Long division with decimals
- Multiplication and division relationship for fractions
- Multiplication as scaling with fractions
- Multiply decimals like 0.6x0.4
- Multiplying 2 fractions: fraction model
- Multiplying 2 fractions: number line
- Multiplying decimals and whole numbers with visuals
- Multiplying decimals like 2.45x3.6 (standard algorithm)
- Multiplying fractions and whole numbers
- Multiplying fractions by whole numbers on a number line
- Visually dividing a whole number by a decimal
- Visually dividing unit fraction by a whole number
- Visually dividing whole numbers by unit fractions
Multiply and divide fractions and decimals using efficient and generalizable procedures.
- Developing strategies for multiplying 2-digit decimals
- Developing strategies for multiplying decimals
- Divide fractions by whole numbers
- Divide mixed numbers
- Divide whole numbers by fractions
- Dividing a decimal by a whole number
- Dividing a decimal by a whole number example
- Dividing a decimal by a whole number on the number line
- Dividing a decimal by a whole number with fraction models
- Dividing a fraction by a whole number
- Dividing a unit fraction by a whole number
- Dividing a whole number by a decimal
- Dividing a whole number by a decimal on a number line
- Dividing a whole number by a fraction
- Dividing a whole number by a unit fraction
- Dividing by a multi-digit decimal
- Dividing decimals by 10, 100, and 1000
- Dividing decimals completely
- Dividing decimals with hundredths
- Dividing decimals: hundredths
- Dividing decimals: thousandths
- Dividing fractions
- Dividing fractions review
- Dividing fractions word problems
- Dividing fractions: 2/5 ÷ 7/3
- Dividing fractions: 3/5 ÷ 1/2
- Dividing mixed numbers
- Dividing whole numbers & fractions: t-shirts
- Dividing whole numbers by decimals examples
- Dividing whole numbers by unit fractions
- Intro to multiplying decimals
- Long division with decimals
- Multiply decimals (up to 4-digit factors)
- Multiply decimals like 0.6x0.4
- Multiply whole numbers and decimals
- Multiplying 2 fractions: 5/6 x 2/3
- Multiplying 2 fractions: fraction model
- Multiplying 2 fractions: number line
- Multiplying challenging decimals
- Multiplying decimals (no standard algorithm)
- Multiplying decimals and whole numbers with visuals
- Multiplying decimals by 10, 100, and 1000
- Multiplying decimals like 0.847x3.54 (standard algorithm)
- Multiplying decimals like 2.45x3.6 (standard algorithm)
- Multiplying fractions and whole numbers
- Multiplying fractions by whole numbers on a number line
- Multiplying mixed numbers
- Strategies for multiplying multi-digit decimals by whole numbers
- Understanding division of fractions
- Visually dividing a whole number by a decimal
- Visually dividing unit fraction by a whole number
- Visually dividing whole numbers by unit fractions
Use mathematical modeling to solve and interpret problems including money, measurement, geometry, and data requiring arithmetic with decimals, fractions and mixed numbers.
- Divide mixed numbers
- Dividing fractions and whole number word problems
- Dividing fractions: 3/5 ÷ 1/2
- Finding area with fractional sides 1
- Finding area with fractional sides 2
- Fraction division in context
- Multiplying fractions word problem: bike
- Multiplying fractions word problem: laundry
- Multiplying fractions word problem: muffins
- Ratios and double number lines
- Ratios and measurement
- Solving unit price problem
- Subtracting fractions word problem: tomatoes