2015+Unit+1+Math

3. Read, write, and compare decimals to thousandths. a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000) b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, +, and < symbols to record the results of comparisons. |||| **__Standards for Mathematical Practice: __** 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. //Students will understand… // Our place value system for numbers. || How are whole numbers and decimals written, compared, and ordered || Our number system is based on powers of 10 both for numbers greater than one and less than one in value. |||| **__Application: __** //<span style="font-family: Calibri,sans-serif; font-size: 10pt;">Students will be able to… // <span style="font-family: Calibri,sans-serif; font-size: 10pt;">Read, and write decimals to the thousandths place value in standard, word, and expanded form. <span style="font-family: Calibri,sans-serif; font-size: 10pt;">Compare decimal values and write about them. || __<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Pre-Assessment: __ <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Text BoY Assessment (given the week before) <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Quiz at start of Topic in textbook __<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Formative Assessments: __ Quizzes based on Quick Checks __<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Post-Assessment (Culminating Task) __ <span style="font-family: Calibri,sans-serif; font-size: 11pt;">End of Topic text, modified ||
 * **<span style="font-family: Calibri,sans-serif; font-size: 14pt; line-height: 1.5;">Unit of Study: Place Value in Mathematics ** ||
 * **<span style="font-family: Calibri,sans-serif;">Grade: **<span style="font-family: Calibri,sans-serif;">Fifth |||| **<span style="font-family: Calibri,sans-serif;">Topic: **<span style="font-family: Calibri,sans-serif;">Numbers in the Base 10 System || **<span style="font-family: Calibri,sans-serif;">Length of Unit: ~ **<span style="font-family: Calibri,sans-serif;">2 weeks ||
 * **<span style="font-family: Calibri,sans-serif;">Focus of Learning ** ||
 * **__<span style="font-family: Calibri,sans-serif;">Common Core Standards: __**
 * <span style="font-family: Calibri,sans-serif; font-size: 8pt; line-height: 1.5;">1. <span style="font-family: Calibri,sans-serif; font-size: 11pt; line-height: 1.5;">Make sense of problems and persevere in solving them. **
 * <span style="font-family: Calibri,sans-serif; font-size: 8pt; line-height: 1.5;">4. <span style="font-family: Calibri,sans-serif; font-size: 11pt; line-height: 1.5;">Model with mathematics. **
 * <span style="font-family: Calibri,sans-serif; font-size: 8pt; line-height: 1.5;">8. <span style="font-family: Calibri,sans-serif; font-size: 11pt; line-height: 1.5;">Look for and express regularity in repeated reasoning. ** ||
 * **__<span style="font-family: Calibri,sans-serif;">Enduring Understanding(s): __**
 * **__<span style="font-family: Calibri,sans-serif;">Guiding Questions: __**//<span style="font-family: Calibri,sans-serif; font-size: 9pt;">These questions will guide student inquiry //
 * **<span style="font-family: Calibri,sans-serif;">Student Performance ** ||
 * **__<span style="font-family: Calibri,sans-serif;">Knowledge: __**//<span style="font-family: Calibri,sans-serif; font-size: 10pt;">Students will understand/know ////<span style="font-family: Calibri,sans-serif; font-size: 9pt;">… //
 * **<span style="font-family: Calibri,sans-serif;">Assessments ** ||
 * **__<span style="font-family: Calibri,sans-serif;">Assessments: __**<span style="font-family: Calibri,sans-serif; font-size: 9pt;"> //pre-assessment, formative, and post-assessment/culminating task//

//<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will know… // How digits within a multi-digit whole number relate to each other by their place value //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will be able to… // Identify the place value of digits within multi-digit whole numbers || //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will know… // Our number system is based on groups of ten. In a multi-digit number, a digit in one place represents ten times would it would represent in that place immediately to its right and one tenth what it would represent in the place immediately to its left. //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will be able to… // <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Represent decimals (tenths and hundredths) as fractions. Students also represent fractions with denominators of 10 and 100 as decimals. || //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will know… // Our number system is based on groups of ten. In a multi-digit number, a digit in one place represents ten times would it would represent in that place immediately to its right and one tenth what it would represent in the place immediately to its left. //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will be able to… // <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Represent decimals (thousandths) as fractions and fractions with denominators of 1,000 as decimals. || //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will know… // <span style="font-family: Calibri,sans-serif; font-size: 14.6666669845581px;">Numbers can be written in different formats //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will be able to… // <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Express multi-digit number and decimals in standard, expanded, and word form || Students will work with the concepts taught during the week using hands-on models and in small groups. || //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will know… // <span style="font-family: Calibri,sans-serif; font-size: 14.6666669845581px;">Place value can be sued to compare and order whole numbers and decimals //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will be able to… // <span style="font-family: Calibri,sans-serif; font-size: 11pt;">Compare and order decimals with values out to the thousandths place || //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will know… // <span style="font-family: Calibri,sans-serif; font-size: 14.6666669845581px;">Some problems can be solved by identifying elements that repeat in a predictable way //<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Students will be able to… // <span style="font-family: Calibri,sans-serif; font-size: 11pt;">look for patterns with decimal-number sets in order to solve problems. ||
 * **<span style="font-family: Calibri,sans-serif;">Learning Experiences ** ||
 * **__<span style="font-family: Calibri,sans-serif;">Lesson Sequence __** [[file:Lesson Plans Math Unit 1.docx]] ||
 * **<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Lesson 1 Place Value Relationships (page 6-7) **
 * **<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Lesson 2 Tenths and Hundredths (page 8-11) **
 * **<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Lesson 3 Thousandths (page 12-13) **
 * **<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Lesson 4 Decimal Place Value (page 14-15) **
 * **Review and Workshop**
 * **<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Lesson 5 Comparing Decimals (page 16-17) **
 * **<span style="font-family: Calibri,sans-serif; font-size: 11pt;">Lesson 6 Problem Solving: Look for a Pattern (page 18-21) **
 * **Topic Review (page 22-23)** ||