Math 8 Numeracy Date: ______________ Chapter 2 Ratio, Rate and Proportional Reasoning Name: ___________________ Lesson 4: Unit Rate Ratio – compares 2 numbers Can be written 3 different ways Always simplified & labeled Rate – how much it is for ONE item Divide (money goes on top) Always labeled Round all answers to the nearest cent (hundredths place) Find “better buy” by looking at LOWEST unit rate We write rate to compare different items, such as cost and weight. You should always include the unit of measure. Example: Twelve notebooks cost $16.00 Find the unit rate. Rate: A rate is a comparison of two quantities measured in different units. Always divide the denominator into the numerator, remember to include the units of measurement. Therefore the denominator will be 1 unit for that measurement. Find the unit rate: $550 for 20 hours of work 215 miles on 11 gallons of gas $5.25 for 3.2 lbs Example: A printing press prints 120 sheets in 3 minutes. Express the printing as a unit rate. Math 8 Numeracy Date: ______________ Chapter 2 Ratio, Rate and Proportional Reasoning Name: ___________________ Sam’s Market Weekly Sale Flyer Here are some items on sale at Sam’s Market. Find the unit rate (unit price) of each item, and fill in the chart below. ITEM Oranges Quantity Listed Price Listed Unit 12 $3.60 1 orange Unit Price Justin needs to buy four pizzas for a party. He found the following three ads in his local newspaper: Rosa’s Pizza Pizza Mart Collins Pizza Each 12-inch pizza: $6.35 Buy 3 and get one free! Where would Justin get the best deal? Each 12 inch pizza: $4.65 Four-pack of 12-inch pizzas: $19.60 Math 8 Numeracy Date: ______________ Chapter 2 Ratio, Rate and Proportional Reasoning Name: ___________________ Lesson 4: Unit Rate Worksheet Shima has just finished her first week at school. She has made a list of things she will need for the semester. At the store, Shima begins to fill her shopping basket. She places the following items in her basket. Complete the table with the choices you made for Shima. And Calculate the unit price Quantity 10 Item Calculating Unit Price Price Pack of 10 pens $5.99 $ 3 Ruler (30 cm) $2.28 $ 2 Erasers $0.88 $ Graph paper $4.88 $ 6 Binders $6.30 $ 2 Back bags $45.98 $ 3 pencil sharpeners $3.30 $ 4 highlighters $6.28 $ 4 package Total Bill Unit price $ 2. Shima has 2 choices for binders. Which is the better buy? Explain why. Three binders for $3.96 Five binders for $5.75 Math 8 Numeracy Date: ______________ Chapter 2 Ratio, Rate and Proportional Reasoning Name: ___________________ 3. Shima’s teacher recommends a particular calculator, which is regularly priced at $ 9.98. It is on sale this week 3 pack of calculators for$25.50, Calculate the unit price? 4. For mechanical pencils, Shima finds 2 choices: 4-pack of mechanical pencils for $3.56 10-pack of mechanical pencils for $8.50 Which option should she choose? Why? 5. The 6-pack of highlighters she wants is regularly priced at $9.27. Calculate the unit price of the pack of highlighters? 7. Shima needs to choose among 3 options for lined loose-leaf paper. She wants about 500 sheets. 100 sheets for $2.42 400 sheets for $4.99 200 sheets for $2.39 Which option should she choose? Explain why.
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