Topics › Fractions, ratio and percent

Topic · Grades 3 to 7

Fractions, ratio and percent

Parts of a whole, comparisons by multiplying, and per-hundred.

3 subtopics101 lessons

1 of 3Fractions

1

Fractions

53 lessons

A number that names part of a whole, and everything you can do with it.

1.1Equal shares and naming the wholeGrade 1

1.2Equal shares that look differentGrade 2

1.3A fraction as part of a whole

1.4A fraction of a setGrade 3

1.5Area and length models of a fractionGrade 3

1.6Comparing fractions

1.7Comparing fractions with the same denominator or numeratorGrade 3

1.8Counting by unit fractionsGrade 3

1.9Equivalent fractions

1.11Fractions greater than one (improper fractions)Grade 3

1.12Fractions on the number line

1.13Locating a fraction on the number lineGrade 3

1.14Seeing equivalent fractions in pictures and on the number lineGrade 3

1.15Unit fractions

1.16What the numerator and the denominator each tell youGrade 3

1.17Whole numbers written as fractionsGrade 3

1.18A fraction times a whole numberGrade 4

1.19Adding and subtracting fractions

1.20Adding and subtracting fractions with like denominatorsGrade 4

1.21Adding tenths and hundredths as fractionsGrade 4

1.22Benchmark fractionsGrade 4

1.23Comparing against a benchmarkGrade 4

1.24Decomposing a fraction into unit fractionsGrade 4

1.25Making an equivalent fraction by multiplyingGrade 4

1.26Mixed numbers and improper fractions

1.27Mixed numbers and improper fractions: rewriting and comparingGrade 4

1.28A fraction of a whole numberGrade 4

1.29Adding and subtracting mixed numbers with like denominatorsGrade 4

1.30Fraction of a quantity

1.31Common denominators and the least common denominatorGrade 4

1.32Simplifying a fraction to simplest formGrade 4

1.33Comparing by finding a common denominatorGrade 5

1.34Estimating with fractionsGrade 5

1.35Multiplying fractions

1.36A fraction as divisionGrade 5

1.37Dividing fractions: sharing into equal partsGrade 5

1.38A fraction times a fractionGrade 5

1.39Adding and subtracting fractions with unlike denominatorsGrade 5

1.40Dividing fractions: how many fitGrade 5

1.41A fraction of a fraction of an amountGrade 5

1.42Adding mixed numbersGrade 5

1.43Multiplying as scalingGrade 5

1.44Subtracting mixed numbersGrade 5

1.45Word problems that add or subtract fractionsGrade 5

1.46Finding a fraction between two fractionsMath 6

1.47Dividing fractions

1.48Finding the whole when only a fraction of it is knownMath 6

1.49Multiplying mixed numbersGrade 5

1.50Word problems that divide fractionsMath 6

1.51Dividing by multiplying by the reciprocalMath 6

1.52Dividing mixed numbersMath 6

1.53Why flipping the second fraction worksMath 6

2

Ratio

29 lessons

Comparing two amounts by how many times one fits in the other.

2.1Deciding which of two ratios is largerMath 6

2.2Equivalent ratios and ratio tables

2.3Part-to-part and part-to-whole ratiosMath 6

2.5Tape diagrams and sharing in a ratioMath 6

2.6The double number lineMath 6

2.7What a ratio is

2.8What a ratio is: language and notationMath 6

2.9Rate and unit rate

2.10Scaling a ratio up or downMath 6

2.11Finding a missing value in a pair of equal ratiosMath 6

2.12Ratio tablesMath 6

2.13What a proportion saysMath 7

2.14Rates and unit ratesMath 6

2.15Speed, distance and timeMath 6

2.16Unit price and comparing ratesMath 6

2.18Proportional relationships

2.19Scale drawings

2.20Solving a proportionMath 7

2.21Changing the units of a rateMath 6

2.22Setting up proportions from word problemsMath 7

2.23The constant of proportionality and proportional tablesMath 7

2.24Unit rates when the amounts are fractionsMath 7

2.25Recognizing a proportional relationship in a graphMath 7

2.26Scale factorMath 7

2.27Recognizing a proportional relationship in an equationMath 7

2.28Using a scale on maps, plans and modelsMath 7

2.29Inversely proportional relationshipsMath 8

3

Percent

19 lessons

Per hundred: a ratio with a fixed second part.

3.2What percent means: a rate per hundredMath 6

3.3Benchmark percents and mental percentMath 6

3.4Converting among fractions, decimals and percentsMath 6

3.5Finding a percent of a quantityMath 6

3.6Finding what percent one number is of anotherMath 7

3.7Percent change

3.8Percent in money situations

3.9Percents above 100 and below 1Math 7

3.10The three percent questions

3.11Percent increase and decreaseMath 7

3.12Finding the whole from a part and a percentMath 7

3.13Solving percent problems with an equation or a proportionMath 7

3.14The multiplier for a percent changeMath 7

3.15Two percent changes one after the otherMath 7

3.16Discounts, sales tax, tips and commissionMath 7

3.17Simple interestMath 7

3.18Markup and marginMath 7

3.19Percent errorMath 7