Stand Quietly
Lesson 5.1 Ratios and Rates Students will be able compute rate and ratios. CCSS. 7.RP. 1 and CCSS. 7. RP. 3
Warm- Up #1 Monday, 1/30/17 Reflect on your first semester in your math class and answer the following questions: Write three new things that you have learned from last semester. Write three things that you have done well from last semester Write three things that you want to improve/achieve/learn from my class this second semester.
Homework 1/30/17 Workbook page 83 ALL
Warm- Up #2 1/31/17 12 girls out of 24 students * Write the problem in three diff ratios * Simplify the ratio 12 cats for every $4 *Write the problem in fraction ratio * simplify the ratio * Is this a unit rate? 3. Are 2 5 and 4 6 equivelent fractions?
Homework 1/31/17 Textbook page 167 #11-22 ALL
Warm- Up #3 2/1/17 Find the Ratios and Unit Rate for each problem 25 flowers for 5 ribbons 70 kittens for 10 cats $81 for 15 burgers $19 for 4 gallons of gas
Homework 2/1/17 Worksheet: Unit Rates ODD #
Youtube https://www.youtube.com/watch?v=liW_ALj4Qj8
Ratios and Rates ratio – a comparison of two numbers by division written in several different forms.
Ratios and Rates rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit. 𝑁𝑢𝑚𝑒𝑟𝑎𝑡𝑜𝑟 𝐷𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑡𝑜𝑟 The denominator should have a 1
Ratios and Rates The order of the numbers in a ratio should match the order of the words in a ratio. apples to oranges 2 to 3
Ratios can be written in several different ways. Ratios and Rates Ratios can be written in several different ways. red to black 3 to 1 3 : 1 3/1
Ratios and Rates Ratios can show comparisons between part to part red to green 1 to 2 green to red 2 to 1
Ratios and Rates Ratios can show comparisons between part to whole red to whole 1 to 3 green to whole 2 to 3
Ratios and Rates Ratios can show comparisons between whole to part whole to red 3 to 1 whole to green 3 to 2
Ratios and Rates 1/8 Compare octagon to all shapes 1 out of 8 1 to 8 1 : 8 1/8
Ratios and Rates Compare all shapes to trapezoid 8 to 1 8 : 1 8/1
Ratios and Rates Compare pentagons to hexagons 2 to 3 2 : 3 2/3
Ratios and Rates Give each ratio in three forms. 1) 8 roses out of 24 flowers 8 24 8 to 24 8 : 24 2) 3 dogs out of 12 animals 3 to 12 3 : 12 3 12
Ratios and Rates A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 ÷ 3 = = ÷ 8 ÷ 3
Unit Rate: A rate with a denominator of 1 Example: 4 𝑜𝑟𝑎𝑛𝑔𝑒𝑠 $1 ; 3 𝑏𝑜𝑦𝑠 1 𝑔𝑖𝑟𝑙
Ratios and Rates 395 miles in 5 hours miles miles 79 miles per hour = To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator. 395 miles in 5 hours miles miles 79 miles per hour = hours hours
Ratios and Rates Express each ratio as a rate. 1) 5 inches of rain in 30 days ÷ 5 = inch of rain per day ÷ 5 2) 120 words in 3 minutes 40 words per minute words = per minute