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Math 1 Grade 2010-2011 st Throughout the school year remember to: Do patterning ”Problem of the Day” Create graphs and discuss the results Count starting at any number Allocate 75 minutes daily for classroom instruction in math. Enduring Understanding: Students will understand how 2 things combined together is addition (+) and 2 things taken away is subtraction (-) Month NCCSS GLCE Required Lessons Key Concepts Evidence of Understanding N.ME. 01.02 Sept. 7Numbers Base 10 Read and write numbers to 110 and relate Fewer Unit assessments 28 them to the quantities they represent. Fewer than 1. Read & write N.ME.01.03 Greater Diagnostic numbers to 120. Order numbers to 110; compare using the Greatest checkpoint phrases: same as, more than, greater than, Least 2. Starting at any fewer than; use = symbol. Arrange small sets Less Informal number count to 120 of numbers in increasing order, e.g., write the More assessment or beyond. following from smallest to largest: 21, 16, 35, More than 8. Most 3. Understand that N.ME.01.04 Numbers when comparing 2 Identify one more than, one less than, 10 Pattern digit numbers, if one more than, and 10 less than for any number Pattern unit number has more up to 100. Same tens, it is greater; if N.ME.01.07 Couple the amount of tens is Compose and decompose numbers through Readiness & Review the same in each 30, including using bundles of tens and units, (pages R1-R5, R 7number than the e.g., recognize 24 as 2 tens and 4 ones, 10 10) number with more and 10 and 4, 20 and 4, and 24 ones. ones is greater. N.MR.01.09 Compare two or more sets in terms of the 4. Compare & order difference in number of elements. numbers using > and N.MR.01.10 Chapter 1 < symbols Model addition and subtraction for numbers Lesson 1-10 less than 20 for a given contextual situation using objects or pictures; explain in words; record using numbers and symbols; solve. Know all the addition facts up to 10 + 10, and solve the related subtraction problems fluently. Not NCCSS G.SR.01.03 Create and describe patterns, such as repeating patterns, and growing patterns using number, shape, and size. G.SR.01.05 Predict the next element in a simple repeating pattern. G.SR.01.06 Describe ways to get to the next element in simple repeating patterns. Essential Questions What is a pattern? How can you find 1 more than any number? How can you find 1 less than any number? Allocate 75 minutes daily for classroom instruction in math. Enduring Understanding: Students will understand how to solve problems involving joining together (addition) and taking apart (subtraction). Month NCCSS GLCE Required Lessons Key Concepts Evidence of Understanding Adding to Unit assessments Sept. 29Operations & N.MR.01.09 Chapter 2 Addition October Algebraic Thinking Compare two or more sets in terms of the Lessons 1-15 sentence Diagnostic 29 difference in number of elements. Comparing checkpoint 1. Use addition & N.MR.01.10 Read, “Five Little Difference subtraction within 20 Model addition and subtraction for numbers Monkeys” Equals (=) Informal to solve word less than 20 for a given contextual situation Join assessment problems, of adding using objects or pictures; explain in words; Minus (-) to, taking from, etc record using numbers and symbols; solve. Plus (+) with a symbol for the Know all the addition facts up to 10 + 10, and Subtract (-) unknown (using solve the related subtraction problems fluently. Subtraction objects, drawings N.MR.01.13 sentence and equations) Apply knowledge of fact families to solve Sum simple open sentences for addition and Symbols 2. Solve word subtraction, such as: ■ + 2 = 7 and 10 - ■ = 6. Taking from problems that call N.FL.01.12 Taking apart for addition or 3 Know all the addition facts up to 10 + 10, and Unknown solve the related subtraction problems fluently Word problem whole numbers or 20 (using objects, drawings and equations) Progress Card October 14 (Chapter 1 Review) 2 Essential Questions What does it mean to find the sum? What does the plus tell you to do? What does the minus tell you to do? Remember to allocate 75 minutes for daily classroom instruction in math. Enduring Understanding: Students will understand and apply properties of operations and the relationship between addition and subtraction Month NCCSS GLCE Required Key Concepts Evidence of Materials Understanding Number & N.ME.01.01 Unit assessments Nov. 1-24 Operations in Base Count to 110 by 1’s, 2’s, 5’s, and 10’s, star ting from Chapter 3 Addend 10 any number in the sequence; count to 500 by 100s (Lessons 1-10) Double Diagnostic and 10s; use ordinals to identify position in a Count on checkpoint 1. Count/read/write sequence, e.g., 1st, 2nd, 3rd. Read and do page Number line to 120, starting at N.ME.01.04 109 >, =, < Informal any number<120. Identify one more than, one less than, 10 more than, assessment Represent a number and 10 less than for any number up to 100. Read, “Where of objects with a N.ME.01.05 Can 12 Friends written numeral. Understand that a number to the right of another Play?” number on the number line is bigger and that a 2. Understand that number to the left is smaller. 2 digits of a 2 digit N.ME.01.08 number represent List number facts (partners inside of numbers) for 2 amounts of tens and through 10;e.g., 8 = 7 + 1 = 6 + 2 = 5 + 3 = 4 + 4; 10 ones. = 8 + 2 = 2 + 8. N.MR.01.10 3. Compare two 2Model addition and subtraction for numbers less than digit numbers based 20 for a given contextual situation using objects or on 10s and 1s digit, pictures; explain in words; record using numbers and recording the results symbols; solve. with >, =, and <. Know all the addition facts up to 10 + 10, and solve the related subtraction problems fluently. 4. Add within 100, N.MR.01.13 including adding 2 Apply knowledge of fact families to solve simple open digit number and a 1 sentences for addition and subtraction, such as: ■ + digit number and 2 = 7 and 10 - ■ = 6. multiples of 10. N.FL.01.12 Know all the addition facts up to 10 + 10, and solve 5. Given a 2 digit the related subtraction problems fluently number, mentally find 10 more or 10 less than the number (without having to count). Explain the reasoning used. Tri 1 Assessment (Chapters 1 & 2) Assessment to teacher November 8 and return to Karen by November 15 3 Essential Questions Does changing the order of the addends change the sum? How is “counting on” on a number line different from counting all? Remember to allocate 75 minutes daily for classroom instruction in math. Enduring Understanding: The students will understand counting back and using doubles for basic subtraction facts. Month NCCSS GLCE Required Key Concepts Materials Nov. 29Dec. 17 Operations & Algebraic Thinking 1. Use addition & subtraction within 20 to solve word problems, of adding to, taking from, etc with a symbol for the unknown (using objects, drawings and equations) 2. Solve word problems that call for addition or 3 whole numbers or 20 (using objects, drawings and equations) 5. Relate counting to addition and subtraction within 20 6. Add & subtract within 20 N.ME.01.05 Understand that a number to the right of another number on the number line is bigger and that a number to the left is smaller. N.ME.01.06 Count backward by 1’s starting from any number between 1 and 100. N.MR.01.10 Model addition and subtraction for numbers less than 20 for a given contextual situation using objects or pictures; explain in words; record using numbers and symbols; solve. Know all the addition facts up to 10 + 10, and solve the related subtraction problems fluently. N.MR.01.11 Understand the inverse relationship between addition and subtraction, e.g., subtraction “undoes” addition: if 3 + 5 = 8, we know that 8 - 3 = 5 and 8 - 5 = 3; recognize that some problems involving combining, “taking away,” or comparing can be solved by either operation. N.MR.01.13 Apply knowledge of fact families to solve simple open sentences for addition and subtraction, such as: ■ + 2 = 7 and 10 - ■ = 6. N.FL.01.12 Know all the addition facts up to 10 + 10, and solve the related subtraction problems fluently. 7. Understand the meaning of the equal sign and determine if equations involving addition or subtraction are true of false. 4 Chapter 4 Lessons 1-10 Read, “Count Back, Jack” Supplement fact families Count backwards Fact families Related facts Add Subtract Equal Evidence of Understanding Essential Questions Unit assessments How are addition and subtraction related? Diagnostic checkpoint Informal assessment What are fact families? How can an addition fact be used to find the difference in a related subtraction fact? Remember to allocate 75 minutes for daily classroom instruction in math. Enduring Understanding: The student will understand how to tell time to the nearest half hour. Month NCCSS GLCE Required Materials Measurement & Data Jan. 3-14 3. Tell & write time in hours & half hours using analog & digital clocks M.UN.01.03 Tell time on a twelve-hour clock face to the hour and half-hour. Chapter 6 Lessons 1-4, 8 Key Concepts Evidence of Understanding Unit assessments Diagnostic checkpoint Informal assessment Essential Questions Key Concepts Evidence of Understanding Essential Questions 100 chart awareness After Before Between Even Graph Odd Patterns in 100 chart Place value Read & Understand pictographs Skip counting 1 digit 2 digit 3 digit >, =, < Unit Assessments What is skip counting on a number chart? Clock Half-hour Hour hand Minute hand Read, “Late for School Again?” Which hand on the clock shows the hour/minute? Progress Report January 27 (Chapter 3 & 4) Enduring Understanding: The student will understand number concepts for numbers up to 120. Month NCCSS GLCE Required Materials Jan. 18 Feb. 9 Number & Operations in Base 10 1. Count/read/write to 120, starting at any number<or =120. Represent a number of objects with a written numeral. 2. Understand that 2 digits of a 2 digit number represent amounts of tens and ones. 3. Compare two 2-digit numbers based on 10s and 1s digit, recording the results with >, =, and <. Represent & Interpret Data N.ME.01.01 Count to 110 by 1’s, 2’s, 5’s, and 10’s, star ting from any number in the sequence; count to 500 by 100s and 10s; use ordinals to identify position in a sequence, e.g., 1st, 2nd, 3rd. N.ME.01.02 Read and write numbers to 110 and relate them to the quantities they represent. N.ME.01.03 Order numbers to 110; compare using the phrases: same as, more than, greater than, fewer than; use = symbol. Arrange small sets of numbers in increasing order, e.g., write the following from smallest to largest: 21, 16, 35, 8. N.ME.01.06 Count backward by 1’s star ting from any number between 1 and 100. G.SR.01.03 Create and describe patterns, such as repeating patterns, and growing patterns using number, shape, and size. D.RE.01.02 Read and interpret pictographs. 4. Organize, represent and interpret data with up to 3 categories. 5 Chapter 7 Lessons 1 - 4, 7-13 Read, “Four Little Chickens” Diagnostic checkpoint Informal assessment What does the number in the 10 column represent? What does the number in the one column represent? Remember to allocate 75 minutes for daily classroom instruction in math. Enduring Understanding: Students will understand comparing 2 digits from least to greatest and how to use grids and coordinates to locate information. Month NCCSS GLCE Required Materials Key Concepts Evidence of Essential Understanding Questions Number & Operations Feb. 14in Base 10 N.ME.01.02 Chapter 8 Coordinates How does a graph Unit March 16 Read and write numbers to 110 and relate them Lessons 1-9,12,15- Digit display data? Assessments 1. Count/read/write to to the quantities they represent. 17 Expansion of 120, starting at any N.ME.01.03 100 chart What is the total Diagnostic number<or =120. Order numbers to 110; compare using the Lesson 5 Equal to (=) number of data checkpoint Represent a number of phrases: same as, more than, greater than, fewer Whole group Greatest points? objects with a written than; use = symbol. Arrange small sets of activity Greater than Informal numeral. numbers in increasing order, e.g., write the (>) How many more or assessment following from smallest to largest: 21, 16, 35, 8. Lesson 11 Grids less are in one 2. Understand that 2 N.ME.01.04 Send home Hundreds category than in digits of a 2 digit Identify one more than, one less than, 10 more Least another? number represent than, and 10 less than for any number up to 100. Read , “Race to Less than (<) amounts of tens and N.ME.01.05 One Hundred” More than (>) ones. Understand that a number to the right of another Number line number on the number line is bigger and that a Ones 3. Compare two 2-digit number to the left is smaller. Ordering numbers based on 10s N.FL.01.12 Patterns and 1s digit, recording Know all the addition facts up to 10 + 10, and Picture graph the results with >, =, solve the related subtraction problems fluently. Place value to and <. N.FL.01.16 100 Compute sums and differences through 30 using Sort Represent & Interpret number facts and strategies, but no formal Tens Data algorithm. D.RE.01.01 4. Organize, represent Collect and organize data to use in pictographs. and interpret data with D.RE.01.03 up to 3 categories. Make pictographs of given data using both horizontal and vertical forms of graphs; scale should be in units of one and include symbolic representations, e.g., ☺ represents one child. G.LO.01.02 Describe relative position of objects on a plane and in space, using words such as above, below, behind, in front of. Tri 2 Assessment (Chapters 3, 4, 6, 7) To teachers February 14 return to Karen by March 2 6 Remember to allocate 75 minutes for daily classroom instruction in math. Enduring Understanding: Students will understand addition and subtraction, whole number relationships and place value. Month NCCSS GLCE Required Key Concepts Materials March 21- Number & Operations N.ME.01.01 Chapter 9 31 in Base 10 Count to 110 by 1’s, 2’s, 5’s, and 10’s, star ting (1-4,6,7,9) from any number in the sequence; count to 500 1. Count/read/write to by 100s and 10s; use ordinals to identify position Lessons 5 & 10 120, starting at any in a sequence, e.g., 1st, 2nd, 3rd. Group time number<or =120. M.UN.01.04 Represent a number of Identify the different denominations of coins and Lesson 8 objects with a written bills. Send home numeral. M.UN.01.05 Match one coin or bill of one denomination to an Operations & Algebraic equivalent set of coins/bills of other Thinking denominations, e.g., 1 quarter = 2 dimes and 1 nickel. 2. Solve word problems M.UN.01.06 that call for addition or 3 Tell the amount of money: in cents up to $1, in dollars up to $100. Use the symbols $ and ¢. whole numbers or M.PS.01.08 20 (using objects, Solve one-step word problems using addition and drawings and subtraction of length, money and time, including equations) “how much more/less”, without mixing units. Evidence of Understanding Unit Assessments Diagnostic checkpoint Essential Questions What three coins can you combine to make 25cents? Informal assessment Enduring Understanding: Students will understand that multiple tools can be used to measure objects and the length of an object is the number of same-size length units (with no gaps or overlaps) Month NCCSS GLCE Required Key Concepts Evidence of Essential Materials Understanding Questions April 11Measurement & Data M.UN.01.01 Unit 28 Measure the lengths of objects in non-standard Chapter 10 Estimate Assessments How can lengths of 1. Order 3 objects by units, (e.g., pencil lengths, shoe lengths) to the 1-5, 15 Length objects be length; compare the nearest whole unit. Measure measured? Diagnostic lengths of 2 using the M.UN.01.02 Non-standard checkpoint 3rd object. Compare measured lengths using the words Longer shorter, shortest, longer, longest, taller, tallest, Shorter Informal 2. Express length of an etc. assessment object by whole number of units, by laying multiple copies of a shorter object end to end. Progress Report April 21 (Chapter 9) 7 Remember to allocate 75 minutes for daily classroom instruction in math. Enduring Question: Students will reason about and defining and non-defining attributes and compose/decompose 2 and 3 dimensional shapes. Month NCCSS GLCE Required Key Concepts Evidence of Materials Understanding Geometry G.GS.01.01 Circle, square Unit May 2-20 Create common two-dimensional and threeChapter 5 Cube Assessments 1. Distinguish between dimensional shapes, and describe their physical Lessons 1-7, Cylinder defining attributes and and geometric attributes, such as color and Lessons10-16 Face, corner Diagnostic non-defining attributes shape. Flat surface checkpoint for a variety of shapes G.SR.01.05 Plane shape Predict the next element in a simple repeating Rectangular, Informal 2. Compose 2 pattern. prism assessment dimensional shapes or Same side 3 dimensional shapes Same shape to create a composite Side shape Solid figure Sphere, cone 3. Partition circles and Triangle, rectangles into 2 and 4 rectangle equal shares. Vertex (vertices) Enduring Question: Students will understand how to add and subtract groups of ten. Month GLCE May 23- June14 Required Materials (Review all GLCEs to ensure students are secure in them.) Chapter 11 Lessons1-14 Informal assessment 8 What everyday shapes approximate standard geometric shapes? Evidence of Understanding Unit Assessments Diagnostic checkpoint Year End Assessment To teachers June 1 and return by June 9 Essential Questions