Getting Ready For Next Year: Ratios, Rates, & Distance, Rate and Time Unit 14 Estimated Instructional Days: 6 days
The remaining Units in Grade 5 (Units 13-16), will be formatted differently than Units 1-12. • Formats will be in PowerPoint form. • Core instruction will be provided in the following areas: • Fractions, Decimal and Percents • Ratios/Rates • Integers/Expressions/Inequalities • Graphing and Data • In addition, based on student data (Formative assessments, unit assessments, etc.), these last few weeks of school should also focus on differentiating your instruction (small groups) to meet the needs of students on current grade level standards not yet mastered. • It would be appropriate given the multitude of resources provided in Units 1-12 to revisit and utilize those resources not already used. • Only utilize current grade level content to determine students’ progress for the 4th nine weeks. Format for Remaining Units
Content Development A ratio is a multiplicative comparison of two quantities or measures. A key developmental milestone is the ability of a student to begin to think of a ratio as a distinct entity, different from the two measures that made it up. Ratios and proportions involve multiplicative rather than additive comparisons. Equivalent ratios result from multiplication or division, not from addition or subtraction. For example: In Mr. Frost’s class, there are 2 girls for every 3 boys. If there are 8 girls in his class, how many boys are there? The ratio is 2 girls : 3 boys. So think: 8 girls to ? boys. Each entity, girls and boys, is multiplied by 4to determine that there are 12 boys in his class. We can represent this ratio as 8 : 12. The ultimate goal for students with ratios is the development of proportional reasoning, NOT a collection of skills/procedures. A ratio can also be a rate. A rate is a comparison of the measures of two different things or quantities; the measuring unit is different for each value. For example, If 4 similar boats carry 36 passengers, then the comparison of 4 boats to 36 passengers is a ratio. Boats and passengers are different types of things. The rate would be the passengers per boat. The ratio of passengers to boats is 36 : 4. The rate is 9 passengers per boat. All rates of speed are ratios that compare distance to time, such as, driving at 55 mph or jogging at 9 minutes per mile.
Highlighting SMPs for Ratios, Rates, & Distance, Rate and Time • Students apply understanding of ratios and rates to problem solving situations. (SMP 1, 4) • Students utilize the distance, rate and time formula flexibly in problem solving scenarios. ( SMP 7,8)
Lesson Ideas for Ratios • Getting Ready for Grade 5 Lessons • Student pages (P) are located in the Standards Practice Consumable book. • Teacher pages (PG) are located in the Planning Guide Resource book. • Possible engage problem for adding and subtracting money: • “Nancy paid $2.65 for a Big Mac at McDonalds. Her friend Draco paid $3.19 for a Quarter Pounder with Cheese.” • “How much money did they spend at McDonalds?” • “Who paid more? How much more?” • Getting for Grade 5 Lessons • Student pages are located in the Standards Practice Consumable book. • Teacher pages are located in the Planning Guide Resource book. • Adding and Subtracting Money: Lesson 1 & 2 • TE pages PG80-PG83 • Student pages P259-P262 • Student practice page GRP1 – adding money • Student practice page GRP2 – subtracting money • Student re-teach page GRR! – adding money • Student re-teach page GRR2 – subtracting money • Other resource for adding and subtracting money: • Add Around (5th Grade Grab & Go) – add decimals • Use the Unlock the Problem on P261 and P263 - student edition, to engage students. • Ratios and Equivalent Ratios: Lessons 8 and 9 • TE pages PG90-PG93 • Student pages P261-P264 • Student practice page GRP8 – Ratios • Student practice page GRP9 – Equivalent Ratios • Student re-teach page GRR8 – Ratios • Student re-teach page GRR9 – Equivalent Ratios Performance Task: Running to Get Fit – assesses students’ understanding of ratios.
Lesson Ideas for Rates • Getting Ready for Grade 5 Lessons • Student pages (P) are located in the Standards Practice Consumable book. • Teacher pages (PG) are located in the Planning Guide Resource book. • Use Unlock the Problem P265 student edition, to engage students. • Rates: Lesson 10 • TE pages PG94-PG95 • Student pages P265-P266 • Student practice page GRP10 – Rates • Student re-teach page GRR10 – Rates • Other resources: Anchors lesson - Finding Rates– problem solving to find rates.
Lesson Ideas for Distance, Rate and Time • Getting Ready for Grade 5 Lessons • Student pages (P) are located in the Standards Practice Consumable book. • Teacher pages (PG) are located in the Planning Guide Resource book. • Use Unlock the Problem P267 student edition, to engage students. • Distance, Rate and Time: Lesson 11 • TE pages PG96-PG97 • Student pages P267-P268 • Student practice page GRP11 – Distance, Rate and Time • Student re-teach page GRR11 – Distance, Rate and Time • Checkpoint Assessment: Standards Practice book, P 269-270. Use to gather evidence of learning for Ratio and Distance, Rate and Time problems.
Evidence of Learning • Only utilize current grade level content to determine students’ progress for the 4th nine weeks. • Use Sample Rubrics to assess (example on next slide): • Daily journal prompts – can use Math Journal prompts in Getting Ready for Grade 6 lessons. • Performance tasks • Performance Task – Running to Get Fit • Use Checkpoint P269-270 in the student Standards Practice book to assess students’ understanding of ratios and rates.