MAFS 7 NS 1 1 b Understand as

MAFS. 7. NS. 1. 1 b Understand �� + �� as the number located a distance |�� | from �� , in the positive or negative direction depending on whether �� is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. A number line is shown. Use the Add Point tool to plot a point that is 14. 5 units from 8 on the given number line.

MAFS. 7. NS. 1. 3 Solve real-world and mathematical problems involving the four operations with rational numbers . A large pizza costs $16. 00. A group of friends wants to pool their money to buy the pizza. We list each individual’s money as follows: $3. 75, $4. 25, $1. 25, $4. 75. How much more money would each have to put in to buy the pizza?

MAFS. 7. NS. 1. 1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. •

MAFS. 7. NS. 1. 1 b Understand �� + �� as the number located a distance |�� | from �� , in the positive or negative direction depending on whether �� is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts. A number line is shown Jack knows that �� + �� = 0. Which statement is true? A. �� = �� B. – �� = �� C. �� − �� = 0 D. �� − �� = 0

MAFS. 7. NS. 1 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. An expression is shown. 15. 5 + (− 16. 75) What is the value of the expression?

MAFS. 7. NS. 1. 1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. An expression is shown. 1 + 2 + (− 5) + 4 Kendrick is using number lines to find the value of the expression. His first two steps are shown. A. Use the Add Arrow tool to show the last two steps. B. Select the value of the expression.

MAFS. 7. NS. 1. 1 c Understand subtraction of rational numbers as adding the additive inverse, �� – �� = �� + (– �� ). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts It's cold in Wisconsin! On Feb 23 2015 the lowest temperature in Madison, WI was - 12°. This same day in Miami, FL the lowest temperature was 69°. How much colder was it in Wisconsin than in Florida?

MAFS. 7. NS. 1. 1 c Understand subtraction of rational numbers as adding the additive inverse, �� – �� = �� + (– �� ). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts Megan and Jake both live on the same street that the library is on. How many kilometers (km) apart do Megan and Jake live?

MAFS. 7. NS. 1. 1 c Understand subtraction of rational numbers as adding the additive inverse, �� – �� = �� + (– �� ). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts The sum of �� and �� is c. The number line shows �� and ��. Which statements about c are true? □ |�� | < |�� | □ |�� | = |�� | □ |�� | > |�� | □ �� < 0 □ �� = 0 □ �� >0

MAFS. 7. NS. 1. 1 c Understand subtraction of rational numbers as adding the additive inverse, �� – �� = �� + (– �� ). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts At 8: 00, the temperature was 6 degrees Celsius (°C). Three hours later, the temperature was 13°C. By how many degrees Celsius did the temperature change?

MAFS. 7. RP Ratios and Proportional Relationships. MAFS. 7. RP. 1 Analyze proportional relationships and use them to solve real-world and mathematical problems. MAFS. 7. RP. 1. 1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each ¼ hour, compute the unit rate as the complex fraction: ½ ÷ ¼ • miles per hour, equivalently 2 miles per hour.

MAFS. 7. RP. 1. 1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. •

MAFS. 7. RP. 1 Analyze proportional relationships and use them to solve real-world and mathematical problems. Markers come in boxes of 8. A teacher bought 6 boxes of markers for a class project. If each marker is 5. 25 in, how long would all markers be if laid end to end?

MAFS. 7. RP. 1. 1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. Henry made juice from a recipe that called for I cup of sugar, 3 cups of lime-drink mix, and 2 gallons of water. Henry filled a container with 18 gallons of water, and used 9 cups of sugar. Based on this information, what is the total number of lime-drink mix Henry used?

MAFS. 7. RP. 1. 1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. Use Equation Editor •

MAFS. 7. RP. 1. 2 b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Ethan ran 11 miles in 2 hours. What is the unit rate of miles to hour? A. 5. 5 miles per hour B. 0. 1 8 miles per hour C. 5. 5 hours per mile D. 0. 1 8 hours per mile

MAFS. 7. RP. 1 Analyze proportional relationships and use them to solve real-world and mathematical problems. Which situation represent a proportional relationship? A. A store charged $20. 00 for two shirts, and charged $25. 00 for 3 shirts. B. An alarm on a clock beeped 7 times in 6 seconds, and beeped 14 times in 12 seconds. C. A signal light flashed yellow 7 times in 28 seconds, and flashed red 5 times in 35 seconds. D. A car used 3 gallons of gas to drive 72 miles on a highway, and used 4 gallons of gas to drive 72 miles in town.

MAFS. 7. RP. 1. 2 b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. A photocopier tray is filled with 500 sheets of paper. Photocopies are then made for the next 2 minutes. Which term BEST describes the slope of a line graph representing the sheets of paper remaining in the tray? A. no slope B. zero slope C. Positive slope D. Negative slope

MAFS. 7. RP. 1. 2 b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. Kara is mixing paint. Each batch has twice as much blue paint as yellow paint. Plot points to represent the amount of blue and yellow paint used in three different sized batches.

MAFS. 7. RP. 1 Analyze proportional relationships and use them to solve real-world and mathematical problems. 6 friends from Lake Worth took a road trip to watch the Miami Heat play. The distance from their house to the arena is 64. 8 miles. If they used 4. 32 gallons of gas for the round trip, how many miles per gallon did their car get?

MAFS. 7. RP. 1. 2 b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. • The points on the coordinate plane show the amount of red and yellow paint in each batch. Write an equation to represent the relationship between red paint, �� , and yellow paint, �� , in each batch.

MAFS. 7. RP. 1. 2 b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. The ordered pair (1, 5) indicates the unit rate of books to cost on the graph shown. What does the point on the graph represent?

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Nicole bought a meal in a town that has no sales tax. She tips 20%. Select all meals Nicole could buy for less than or equal to $15 total. □ $12. 36 □ $12. 50 □ $13. 00 □ $14. 79 □ $14. 99

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. James pays $120. 00 for golf clubs that are on sale for 20% off at Golf Pros. At Nine Iron, the same clubs cost $8. 00 less than they cost at Golf Pros. They are on sale for 13% off. What is the original cost of the clubs at Nine Iron?

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Kim’s lunch cost $12. 74. She left a tip that was about 15% of the cost of her lunch. Which is closest to the amount Kim left as a tip? If X/Y = U/V, which statement must be true? A. XV = YU B. XU = YV C. X+U/Y+V=U/V D. X+2/Y+2=U+2/V+2

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. A zoo had 2250 visitors on Friday and 4725 on Saturday. What was the percentage increase in the number of visitors on Saturday compared to Friday?

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. In one year, the students population at Tillman High School increased from 400 students to 500. What was the percentage increase ?

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. A store is having a sale on roses. The sale price on a dozen roses is 15% less than the regular price. If the regular price is $15. 00, what is the sale price of a dozen of roses?

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. A video game originally priced at $65. 50 is on sale at a 15% discount. a. What is the amount of the discount and the final sale price? b. Would it be a better or worse deal if the store had simply lowered the original price to $55. 95? Use percent of decrease to explain.

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. A sales tax of 7 % was added to the $36. 00 price of a jacket. What was the total cost of the jacket?

MAFS. 7. RP. 1. 3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. The formula for simple interest is I = prt where I is the amount of interest, p is the amount of principal borrowed, r is the rate of interest, and t is the amount of time in years. Terri will borrow $3500 at an interest rate of 3% and plans on repaying the loan over 4 years. Using the interest formula, what is the total amount Terri will repay for the loan with interest?