Getting Ready For Next Year: Fractions, Decimals and Percents

1. Getting Ready For Next Year: Fractions, Decimals and Percents Unit 13 Estimated Instructional Days: 8 Days

2. 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

3. Content Development The beginning of this unit builds on fraction and decimal concepts presented in Units 3-8 and prepares students for comparisons between decimals and fractions taught in Grade 6. In addition to comparing fractions and decimals, students will also be exposed to ordering fractions and decimals. “Percents are simply hundredths and as such are a third way of writing both fractions and decimals. For example, consider the fraction ¾. As a fraction expressed in hundredths, it is 75/100. When ¾ is written in decimal form, it is 0.75. Both 0.75 and 75/100 are read in the exactly the same way, ‘seventy-five hundredths’. When used in context, the fraction ¾ of something is the same as 0.75 or 75% of that same thing. Thus, percent is merely a new notation and terminology, not a new concept.” (Van De Walle 2010) Students will also be working with writing a number as the product of prime number factors. This builds upon finding factors which was presented in Grade 4, and prepares students for finding greatest common factors which will be taught in grade 6.

4. Highlighting SMPs for Fractions, Decimals and Percents • Students make connections between fraction, decimal and percent notation. (SMP 7) • Students utilize appropriate place value language when comparing and ordering decimals. (SMP 6) • Students use appropriate tools to model percents. (SMP 5) • Students apply knowledge of fraction, decimal and percent equivalency in problem solving contexts. (SMP 1,4) • Student use appropriate strategies to solve fraction division problems. (SMP 1,4)

5. Lesson Ideas for Comparing and Ordering Fractions and Decimals • 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 P 247 (student book)to engage students. • Use number lines to help place the fractions and decimals given in the problem. Make sure that number lines have both fraction and decimal benchmarks (see P245 and 247 for examples). • Compare and Order Fractions and Decimals: Lessons 1 & 2 • TE pages PG 76 – 79 • Student pages P 245-248 • Student practice page GRP 1 – comparing fractions and decimals • Student practice page GRP 2 – ordering fractions and decimals • Student re-teach page GRR 1 – comparing fractions and decimals • Student re-teach page GRR 2 – ordering fractions and decimals • MAFS.5.NBT.1.3b:Compare two decimals to the thousandths based on the meanings of the digits in each place. Can be administered as an assessment after these two lessons.

6. Lesson Ideas for Modeling Percents • 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 10 x 10 grids to help model percent. • Model Percent: Lesson 4 • TE pages PG 82 – 83 • Student pages P 251-252 • Student practice page GRP 4 – Model Percent • Student re-teach page GRR 4 – Model Percent

7. Lesson Ideas for Relating Decimals, Percents and Fractions • 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. • Relating Decimals, Percents and Fractions: Lessons 5 & 6 • TE pages PG 84 – 87 • Student pages P 253-256 • Student practice page GRP 5 – Relate Decimals and Percents • Student practice page GRP 6 – Fractions, Decimal and Percents • Student re-teach page GRR 5 – Relate Decimals and Percents • Student re-teach page GRR 6 – Fractions, Decimals and Percents Other Resources: Anchors lesson – Renaming Fractions, Decimals and Percents– show equivalency between the three notations.

8. Lesson Ideas for Dividing Fractions by a Whole Number • 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. • Divide Fractions by a Whole Number: Lesson 7 • TE pages PG 88 – 89 • Student pages P 259 -260 • Student practice page GRP 7 – Dividing Fractions by a Whole Number • Student re-teach page GRR 7 – Dividing Fractions by a Whole Number Other Resources: Word Problems– Click here to download. Use the last two pages. MAFS.5.NF.2.7: Unit fraction division – can be used to assess this standard; division by a fraction other than a unit fraction is 6th grade content.

9. Lesson Ideas for Factor Trees • Getting Ready for Grade 5 Lessons • Student pages (PG) are located in the Standards Practice Consumable book. • Teacher pages (PG) are located in the Planning Guide Resource book. • Factor Trees: Lesson 3 • TE pages PG 80 – 81 • Student pages P 249-250 • Student practice page GRP 3 – Factor Trees • Student re-teach page GRR 3 – Factor Trees Other Resources: Anchors Lesson Prime and Composite Numbers– Factor trees are used to decompose composite numbers. Checkpoint Assessment: Standards Practice book P 257-258. Use to gather evidence of learning for Fractions, Decimals, Percents and Factor Trees.

10. 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 • Standards practice quizzes • MAFS.5.NBT.1.3b • MAFS.5.NF.2.7c • Checkpoint Assessment: Standards Practice book P 257-258. Use to gather evidence of learning for Fractions, Decimals, Percents and Factor Trees.

11. Evidence of Learning