First Grade: Mathematical Standards- Mathematical Practice- Focus Areas

Transcription

1 Ephrata Area School District- Mathematics- First Grade First Grade: Mathematical Standards- Mathematical Practice- Focus Areas In Grade 1, there are four critical areas: (1) building understanding and fluency with addition and subtraction; (2) build understanding of base-ten notation; (3) using standard units of measure; and (4) describing and analyzing shapes. 1. Developing understanding of addition, subtraction, and strategies for addition and subtraction within Developing understanding of whole number relationships and place value, including grouping in tens and ones. 3. Developing understanding of linear measurement and measuring lengths as iterating length units. 4. Reasoning about attributes of, and composing and decomposing geometric shapes.

2 Pennsylvania Core Standards-Chapter 1 Grade 1 PA Core Standard: CC B.1 o Extend the counting sequence to read and write numerals to represent objects. CC B.2 o Use place value concepts to represent amounts of tens and ones and to compare two digit numbers. CC A.1 o Represent and solve problems involving addition and subtraction within 20. PA Anchor: Numbers and Operations o Numbers and Operations in Base Ten

3 Elementary Mathematics Grade 1: Numbers and Operations in Base Ten Big Ideas: Mathematical relationships among numbers can be represented, compared, and communicated. Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations. Essential Questions: How can we describe and compare two digit numbers? How can you read, write, and count numbers to 20? Concepts: Use place value concepts to represent numbers to 20 Use place value concepts to read, write, and compare numbers to 20. Assessments Pretest- Chapter 1- Post-test- Chapter 1- Technology Resources- Technology related resources- Math Websites and Flipcharts folder Math Choice Boards folder Math Exemplars folder Math News and Ideas Folder The online book has a resources tab that allows you to access all practice sheets including reteach, skills, and enrich sheets Math Read Aloud and Activities Folder

4 Reporting Category and Marking Period Numbers in Base Ten Marking Period 1 Specific Resources, lessons Key Vocabulary Differentiation McGraw-Hill Math Connects Chapter 1 1-4: Numbers to 10-How do you count, read and write numbers to 10? 1-5: Numbers How do you count, read and write numbers to 15? 1-6: Numbers How do you count, read and write numbers to 20? 1-8: Compare numbers-how do you compare numbers? 1-9: Order numbers-how do you order numbers? McGraw-Hill online lesson-extend counting sequence: read, write and represent numbers to 120 starting at any number less than 120 compare compose greater than less than making tens number numeral ones place value tens whole numbers McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers First In Math program

5 Pennsylvania Core Standards-Chapter 2 PA Core Standard: CC A.1 o Represent and solve problems involving addition and subtraction within 20. PA Anchor: Algebraic Concepts Operations and Algebraic Thinking PA Core Standard: Pennsylvania Core Standards-Chapter 5 CC A.1 o Represent and solve problems involving addition and subtraction within 20. CC A.2 o Understand and apply properties of operations and the relationship between addition and subtraction. PA Anchor: Algebraic Concepts o Understand and apply properties of operations and the relationship between addition and subtraction.

6 Elementary Mathematics Grade 1: Operations and Algebraic Thinking and Numbers and Operations in Base Ten Big Ideas: Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations. Numerical quantities, calculations, and measurements can be estimated or analyzed by using appropriate strategies and tools Essential Questions: How are relationships represented mathematically? How can expressions, equations, and inequalities be used to quantify, solve, model, and/or analyze mathematical situations? What makes a tool and/or strategy appropriate for a given task? Concepts: Represent and solve problems involving addition Assessments Pretest- Chapter 2 and 5- Post-test- Chapter 2 and 5- Technology Resources- Technology related resources- Math Websites and Flipcharts folder Math Choice Boards folder Math Exemplars folder Math News and Ideas Folder The online book has a resources tab that allows you to access all practice sheets including reteach, skills, and enrich sheets Math Read Aloud and Activities Folder

7 Reporting Category and Marking Period Operations and Algebraic Thinking Numbers and Operations in Base Ten Marking Period 1 and beginning of 2 Specific Resources, lessons Key Vocabulary Differentiation Chapter 2 2-1: Addition stories-how do you use counters to solve an addition story? 2-2: Modeling addition-when you add, what are you doing? 2-3: Addition sentences-how do you write addition sentences? 2-4: Adding zero-what happens when you add zero? 2-6 and 2-7:-How do you write addition sentences? 2-8: Ways to make 10, 11, 12-How do you use a ten frame to name a number? 2-10: Vertical Addition-How do you write vertical addition sentences? Chapter 5 5-1: Add in any order-what is the commutative property of addition? (you can change the order of the addends) 5-2: Count on 1, 2, or 3-How do you count on to add? 5-4: Add 1, 2, or 3-How do you count on to add? 5-5:Use number line-how do you use a number line to add? 5-6 and 5-7: Doubles-How do you use doubles facts to add? And doubles plus? add addend associative property commutative property compare count on counting up digit equal equation expression sum McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers McGraw-Hill online lesson-extend mastery to 20 for addition First In Math program

8 McGraw-Hill online lesson- Solve word problems involving situations of adding to, putting together, and comparing with unknowns in all positions McGraw-Hill online lesson- Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 McGraw-Hill online lesson- Understand the meaning of the equal sign and determine if equations involving addition are true or false (i.e., 6=6, 5+2=2+5, 4+1=5+2) **Materials can be found on / /mhssg_main.html

9 Pennsylvania Core Standards-Chapter 7 PA Core Standard: CC A.2 o Tell and write time to the nearest half hour using both analog and digital clocks. PA Anchor: Measurement, Data, and Probability o Measurement and Data

10 Elementary Mathematics Grade 1: Measurement and Data Big Ideas: Mathematical relationships among numbers can be represented, compared, and communicated. Data can be modeled and used to make inferences. Essential Questions: How can time be represented on clocks? How do you measure time on an analog and digital clock? Concepts: Telling time to the nearest half hour Assessments Pretest- Chapter 7- Post-test- Chapter 7- Reporting Category and Marking Period Measurement and Data Marking period 2 Specific Resources, lessons Key Vocabulary Differentiation Chapter 7 7-2: Time to the Hour-What time is it? What are the parts of a clock? 7-3: Time to the Half Hour-What time is it? What does half past mean? 7-5: Telling time to the hour and half hour-what time is it? How do you write the time in digital form? analog clock digital clock half hour hour hour hand McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers

11 Pennsylvania Core Standards-Chapter 3 PA Core Standard: CC A.1 o Represent and solve problems involving addition and subtraction through 20. PA Anchor: Algebraic Concepts o Operations and Algebraic Thinking PA Core Standard: Pennsylvania Core Standards-Chapter 6 CC A.1 Represent and solve problems involving addition and subtraction through 20. CC A.2 Understand and apply properties of operations and the relationship between addition and subtraction. PA Anchor: Algebraic Concepts o Operations and Algebraic Thinking

12 Elementary Mathematics Grade 1: Operations and Algebraic Thinking and Numbers and Operations in Base Ten Big Ideas: Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations. Numerical quantities, calculations, and measurements can be estimated or analyzed by using appropriate strategies and tools Essential Questions: How are relationships represented mathematically? How can expressions, equations, and inequalities be used to quantify, solve, model, and/or analyze mathematical situations? What makes a tool and/or strategy appropriate for a given task? Concepts: Represent and solve problems involving subtraction Assessments Pretests- Chapter 3 and 6- Post-tests- Chapter 3 and 6- Technology Resources- Technology related resources- Math Websites and Flipcharts folder Math Choice Boards folder Math Exemplars folder Math News and Ideas Folder The online book has a resources tab that allows you to access all practice sheets including reteach, skills, and enrich sheets Math Read Aloud and Activities Folder

13 Reporting Category and Marking Period Operations and Algebraic Thinking Numbers and Operations in Base Ten Marking Period 2 and beginning of marking period 3 Specific Resources, lessons Key Vocabulary Differentiation 3-1: Subtraction stories-how do you use counters to solve a subtraction story? 3-2: Modeling subtraction-when you subtract, what are you doing? 3-3: Subtraction sentence-how do you write subtraction sentences? 3-4: Subtract zero -What happens when you subtract zero? 3-6: Subtract from 4, 5, 6-How do you write subtraction sentences? 3-7: Subtract from 7, 8, 9-How do you write subtraction sentences? 3-9: Subtract from 10, 11, 12-How do you write subtraction sentences? 3-10: Vertical subtraction-how do you write vertical subtraction sentences? Chapter 6 6-1: Count back 1, 2, or 3-How do you count back to subtract? 6-3: Use a number line to subtract-how do you use a number line to subtract? 6-5: Use doubles to subtract-how do you use doubles facts to subtract? 6-6: Relate addition to subtraction-how do you use related facts to help you subtract? How are + and related? count back difference subtract compare McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers First In Math program 6-7: Fact families-what is a fact family?

14 McGraw-Hill online lesson- Extend mastery to 20 for subtraction McGraw-Hill online lesson- Solve word problems involving situations of taking from, taking apart, and comparing with unknowns in all positions McGraw-Hill online lesson- Understand the meaning of the equal sign and determine if equations involving subtraction are true or false **Materials can be found on matics/ /mhssg_main.html

15 PA Common Core Standard: Pennsylvania Core Standards-Chapter 4 CC A.4 o Represent and interpret data using tables/charts PA Anchor: Measurement, Data, and Probability o Measurement and Data

16 Elementary Mathematics Grade 1: Measurement and Data Big Ideas: Mathematical relationships among numbers can be represented, compared, and communicated. Data can be modeled and used to make inferences. Essential Questions: How does the type of data influence the choice of display? How do you represent data on a graph? How can data analysis be used to make predictions about data on graphs? Concepts: Represent and interpret data on various types of graphs Assessments Pretest- Chapter 4- Post-test- Chapter 4- Reporting Category and Marking Period Measurement and Data Marking period 3 Specific Resources, lessons Key Vocabulary Differentiation Chapter Sort and Classify-How do you sort objects using a Venn diagram? 4-2: Picture Graphs-How do you make and read a picture graph? 4-4: Tally Charts-How do you make and read a tally chart? 4-5: Read a bar graph-how do you read a bar graph? 4-6: Make a bar graph-how do you make a bar graph? attribute category classify data sequence similar sort McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets

17 Pennsylvania Core Standards-Chapter 8 PA Common Core Standard: CC B.1 o Extend the counting sequence to read and write numerals to represent objects CC B.2 o Use place value concepts to represent amounts of tens and ones and to compare two-digit numbers CC B.3 o Use place value concepts and properties of operations to add and subtract within 100. PA Anchor: Numbers and Operations o Numbers and Operations in Base Ten

18 Pennsylvania Core Standards-Chapter 13 PA Common Core Standard: CC B.2 o Use place-value concepts to represent amounts of tens and ones and to compare two-digit numbers. CC B.3 o Use place value concepts and properties of operations to add and subtract within 100. PA Anchor: Numbers and Operations o Numbers and Operations in Base Ten

19 Elementary Mathematics Grade 1: Numbers and Operations in Base Ten Big Ideas: Mathematical relationships among numbers can be represented, compared, and communicated. Mathematical relationships can be represented as expressions, equations, and inequalities in mathematical situations. Essential Questions: How can we describe and compare two digit numbers? How can you read, write, and count numbers to 100? Concepts: Use place value concepts to write, represent, and interpret numbers to 100. Use place value concepts to represent amounts of tens and ones and to compare two digit numbers. Use place value concepts to skip count to 100. Assessments Pretests- Chapter 8, Chapter 13- Post-tests- Chapter 8, Chapter 13- Technology Resources- Technology related resources- Math Websites and Flipcharts folder Math Choice Boards folder Math Exemplars folder Math News and Ideas Folder The online book has a resources tab that allows you to access all practice sheets including reteach, skills, and enrich sheets Math Read Aloud and Activities Folder

20 Reporting Category and Marking Period Numbers in Base Ten Marking Period 3 and beginning of marking period 4 Specific Resources, lessons Key Vocabulary Differentiation McGraw-Hill Math Connects Chapter 8 8-1: Counting to 20-How do you read and write numbers as tens and ones? 8-2: Counting by tens-how do you count groups of ten? 8-4: Hundred Chart-How do you read and count numbers in order on a hundred chart? 8-5: Estimating with groups of ten-how do you estimate using a group of ten? 8-7: Skip counting by 2's, 5's, 10's-How do you use patterns to skip count by 2's, 5's, and 10 s? 8-8: Skip counting on a hundred chart-how do you use a hundred chart and patterns to skip count? and Online lesson- Extend skip counting by 2 s, 5 s, and 10 s to 120 Chapter : Tens-How do you count groups of ten? 13-2: Tens and Ones-What does it mean to regroup? 13-4: Numbers to 50-How do you show numbers to 50 using tens and ones? 13-5: Numbers to 100-How do you write numbers in different ways? 13-6: Estimate numbers-how do you use groups of ten to estimate a number? 13-8: Compare numbers to 100-How do you compare numbers using <, >, =? and Online lesson- Given a two digit number, mentally find ten more or ten less than the number, without having to count and explain the reasoning compare compose equation estimate greater than less than making tens multiple of ten ones place value sequence tens McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers First In Math program 13-9: Order numbers to 100-How do you order numbers to 100?

21 Pennsylvania Core Standards-Chapter 12 and 14 PA Common Core Standard: CC A.1 o Compose and distinguish between two- and three-dimensional shapes based on their attributes. CC A.2 o Use the understanding of fractions to partition shapes into halves and quarters. PA Anchor: Geometry o Geometry

22 Elementary Mathematics Grade 1: Geometry Big Ideas: Geometric relationships can be described, analyzed, and classified based on spatial reasoning and/or visualization. Essential Questions: How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real situations or solve problems? How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving? How can geometric properties and theorems be used to describe, model, and analyze situations? Concepts: Analyze and draw two and three dimensional shapes based on specific attributes Partition shapes into equal components Apply geometric reasoning and relationships to solve problems Compose and decompose two-dimensional shapes to form new shapes Assessments Pretests- Chapter 12 and 14- Post-test- Chapter 12 and 14- Technology Resources- Technology related resources- Math Websites and Flipcharts folder Math Choice Boards folder Math Exemplars folder Math News and Ideas Folder The online book has a resources tab that allows you to access all practice sheets including reteach, skills, and enrich sheets Math Read Aloud and Activities Folder

23 Reporting Category and Marking Period Geometry Marking Period 4 Specific Resources, lessons Key Vocabulary Differentiation Chapter : Three-dimensional figures-what is the name of this three dimensional figure? 12-2: Faces and Corners-How many corners/vertices and faces does this three dimensional figure have? 12-4: Two and three-dimensional figures-what twodimensional figure can you make using this three dimensional figure? 12-5: Two-dimensional figures-how many sides and corners does this two dimensional figure have? 12-8: Make new figures-how do you use pattern blocks to make new figures? Chapter : Equal Shares-How do you divide a shape into equal shares? 14-2: Problem Solving: Draw a Picture 14-3: Halves- How do you represent halves in a shape? Focus on fourths- How do you represent fourths? McGraw-Hill online lesson- Distinguish between defining attributes versus non-defining attributes McGraw-Hill online lesson- Compose two dimensional shapes or three dimensional shapes to create a composite shape and compose new shapes from the composite shape array circle closed figure composite shape cone cube cylinder decompose different equal shares face fourth of fourths geometric solid half circle half of halves hexagon one-fourth one-half quarter of quarter circle rectangle side sphere square 3-dimensional triangle 2-dimensional vertex McGraw-Hill English Language Learners Guide McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers

24 Pennsylvania Core Standards-Chapter 9 PA Common Core Standard: CC A.1 o Compose and distinguish between two- and three-dimensional shapes based on their attributes. PA Anchor: Measurement, Data, and Probability o Measurement and Data

25 Elementary Mathematics Grade 1: Measurement and Data Big Ideas: Measurement attributes can be quantified and estimated using customary and non-customary units of measure. Essential Questions: Why does what we measure influence how we measure? In what ways are the mathematical attributes of objects or processes measured, calculated, and/or interpreted? How precise do measurements and calculations need to be? How can mathematics support effective communication? How can data be represented to provide insight into quantities? Concepts: Measure and analyze customary, metric, and non-standard units Interpret and represent measurements in data displays Assessments Pretest- Chapter 9- Post-test- Chapter 9- Technology Resources- Technology related resources- Math Websites and Flipcharts folder Math Choice Boards folder Math Exemplars folder Math News and Ideas Folder The online book has a resources tab that allows you to access all practice sheets including reteach, skills, and enrich sheets Math Read Aloud and Activities Folder

26 Reporting Category and Marking Period Measurement and Data Specific Resources, lessons Key Vocabulary Differentiation 9-1: Compare and Order Lengths-How do you order and compare the length of objects? compare iterate McGraw-Hill English Language Learners Guide Marking Period 4 McGraw-Hill lesson- Order three objects by length; compare the lengths of two objects indirectly by using a third object. McGraw-Hill lesson- Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps. length longer longest shorter shortest taller tallest McGraw-Hill Real World Readers and black-line masters of questions to accommodate the stories McGraw-Hill Problem of the Day manual or Math Daily Practice manual McGraw-Hill Strategic Intervention Guide McGraw-Hill chapter blackline masters including reteach, skills, enrich sheets Take It To Your Seat Centers First In Math program