6 th Grade Math- Focus 1 Ratios, Rates and Proportions

6th Grade Math- Focus 1 Ratios, Rates and Proportions

Standards: 6.RP.1, 6.RP.3a, 6.RP3d, M06.S5C2.09

Resource: Van De Walle pages 154-1596th Grade Math- Focus 1Ratios, Rates and ProportionsWelcome to Our Math Class!Lets look around the room and see what parts make up our whole class!

How many students make up the whole class? How many girls make up part of our class?How many girls are in our class compared to our whole class? Write the number of girls (part) compared to the class (whole) as a FRACTION.

How many boys make up part of our class? How many boys in our class compared to our whole class? Write the number of boys (part) compared to the class (whole) as a FRACTION. Types of RATIOSVocabulary Definition: A ratio is a comparison of any two quantities.

When you are comparing two of the SAME measures, you are using these two types of ratios.Part to Whole RatiosPart to Part RatiosWhat is a Part to Whole RATIO?PART to WHOLE RATIOS can be written in THREE different ways.

Did you know? Every FRACTION is a Part to Whole Ratio!Did you know? Every PERCENT is a Part to Whole Ratio!Did you know? Every DECIMAL is a Part to Whole Ratio!

Student Practice- Write your answers in your math journal/workbook.1. Using all the three different ways to write Part to Whole Ratios, represent the part to whole comparisons of the girls and boys in our whole math class. In your own words, answer the following in your workbook.

What is your definition of a FRACTION?What is a Part to Part Ratio?Lets compare the number of girls to the number of boys in our class.

How many girls (part) are in our class? How many boys (part) are in our class? PART to PART RATIOS are be written in TWO different ways.

Student Practice- Write your answers in your math journal/workbook.2. Why cant fractions be PART to PART Ratios?3. Using the two different ways to write Part to Part Ratios, represent the part to part comparisons of the girls to boys in our whole math class. 4. Using the two different ways to write Part to Part Ratios, represent the part to part comparison of the boys to girls in our class.Using a COLON

Part : PartUsing the word, to

Part to Part6th Grade Math HomeworkMy Life in Numbers!

YOU MAY WRITE ON THE WORKSHEET.

You will be turning in it on THURSDAY.BrainPOP Video: Ratiohttp://www.brainpop.com/math/ratioproportionandpercent/ratios/

Types of RATIOSVocabulary Definition: A ratio is a comparison of any two quantities.

When you are comparing two DIFFERENT measures, you are using this types of ratio.Rate- comparing two DIFFERENT measuresWhat is a RATE?A RATE RATIO (or just RATE)- compares measures of two different types.

For example, these are all rates.miles per hourdollars per itemcents per poundpassengers per busload

Measurement Relationships as RatesRelationships between two units of measure are also rates.

For example, these are all rates.Inches per footMilliliters per literCentimeters per inch

Can you tell what type of Ratios it is?Part to Whole, Part to Part, or RateStudent Practice- Write your answers in your math journal/workbook.5. Number of red roses to number of yellow roses6. Number of points earned to number of possible points7. Number of footballs per PE class8. Number of roses per flower arrangement9. Number of heads on a penny after ten tosses10. Number of footballs to number of balls in the PE supply11. Number of footballs to number of soccer balls12. Number of points earned per student13. Number of points earned to number of points not earned14. Number of red roses to number of flowers in bouquet15. Probability of getting a head with one coin toss16. Odds of getting a head with one coin tossCan you tell what type of Ratios it is?Part to Whole, Part to Part, or RateCHECK your answers in your math journal/workbook.5. Part to Part6. Part to Whole7. Rate8. Rate9. Rate10. Part to Whole11. Part to Part12. Rate13. Part to Part14. Part to Whole15. Part to Whole16. Part to PartNow that we know about RatiosWhat are Proportions?Include the Units of Measure with RatesTEACHER NOTES SLIDE ONLY! HIDE from the Presentation for Class

Which Has More? (Van de Walle, Activity 6.1)Student Practice- Write your answers in your math journal/workbook.Situation 1: Which class team has more girls?(Which class team has a larger proportion of girls?)

Situation 2: Which fish tank has more goldfish?(Which fish tank has a larger proportion of goldfish?)

Situation 3: Which figure has more circles?

Situation 4: Did Ollie or Sandy grow more?

Which Has More? (Van de Walle, Activity 6.1)Student Practice- Write your answers in your math journal/workbook.

Class Discussion about Situations 1 & 2Class Discussion about Situations 3 & 4Which class team has more girls?

Which fish tank has more goldfish?Which figure has more circles?

Did Ollie or Sandy grow more?Which Has More? (Van de Walle, Activity 6.1)Ticket Out the Door!What is the definition of a RATIO?What is ONE type of ratio?What is ANOTHER type of ratio?What is a comparison of two same measures called?What is a comparison of two different measures called?What type of ratio is a fraction or percent?What is a comparison of two ratios called?

Did we follow the Sabercat Way today?CMS ROARS!