MATH EXPRESSIONS GRADE 1 - SCOPE AND SEQUENCE

Transcription

1 UNIT 1: EARLY NUMBER ACTIVITIES Math Expressions, Investigations 2 Investigations Games: Dot Addition, Compare, Double Compare; On & Off; Counters in a Cup Days Apply properties of operations and the relationship between addition and subtraction (e.g., = 10 is the same as = 10 - commutative property; is the same as =10 - associative property). Use concrete objects and trial and error to solve number sentences up to 20. Recognize, describe, extend, and replicate simple patterns based on shape, size, color, sound, or number such as abab, abbabb, or aabaab. Calculus: Order a set of whole numbers, 0 to 200, from least to greatest and greatest to least. Solve addition and subtraction facts up to 10. Continue to develop addition and subtraction facts up to 20. Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Demonstrate fluency in using the following U.S. Algorithms: 1- digit Addition & Subtraction using horizontal and vertical notation Represent a number of objects with a written numeral with numbers from Identify odd and even numbers on the 100 s chart up to 100. *Introduce and explore manipulatives Building Number Sense Quick Images (pg. 4) Compare (pg. 8) Problems About 10 (pg. 48) Supplemental Investigations Activities

2 Compare/Double Compare (pg. 53) Towers of 10 (pg. 68) The 100 Chart (pg. 82) Five in a Row (pg. 82) Dot Addition (pg. 148) MATH EXPRESSIONS

3 UNIT 2: OPERATIONS AND SIMPLE EQUATIONS Math Expressions, Investigations 2 Investigations Games: Collect 25 Cents Together days Use concrete objects and trial and error to solve number sentences up to 20. Use appropriate notation when writing mathematical number sentences either vertically or horizontally Solve addition and subtraction facts up to 10. Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Demonstrate fluency in using the following U.S. Algorithms: 1- digit Addition & Subtraction using horizontal and vertical notation Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Identify and state the value of a quarter, dime, nickel, and penny. Use both horizontal and vertical notation. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words. Supplemental Investigations Activities Building Number Sense Breaking Numbers into Two Parts (pg On & Off, Counters in a Cup) Number Games and Story Problems Pictures of 10 (pg. 5) Total of 10 (pg. 17) Crayon Puzzles (pg. 30)

4 Collect 25 Together (pg. 64) Numbers to 100 (pg interactive 100 s chart applesfortheteacher.com) Nimble with Numbers Race to 20 (pg. 132) Other Supplemental Resources

5 UNIT 3: STORY PROBLEM STRATEGIES Math Expressions days Use concrete objects to determine a missing addend in a number sentence in which the sum is 20 or less. Solve addition and subtraction facts up to 10. Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Demonstrate fluency in using the following U.S. Algorithms: 1- digit Addition & Subtraction using horizontal and vertical notation Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words. Building Number Sense Introducing Combining Situations (pg. 116) Introducing Separating Situation (pg. 128) Solving Story Problems (pg. 160) Supplemental Investigations Activities Number Games and Story Problems Combining Situations (pg. 102) (Math Talk Resource) Separating Situations (pg. 109) (Math Talk Resource) Tens Go Fish (pg. 129)

6 Combining with Unknown Change (pg. 138) (Math Talk Resource) Addition and Subtraction (pg. 143) (Math Talk Resource) Solving Story Problems (pg. 149) (Math Talk Resource)

7 UNIT 4: BASIC TEN- STRUCTURED CONCEPTS Math Expressions days Continue to develop addition and subtraction facts up to 20. Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Demonstrate fluency in using the following U.S. Algorithms: 1- digit Addition & Subtraction using horizontal and vertical notation 2- digit Addition & Subtraction without regrouping Count to 200 starting at any number less than 200. In this range, read and write numerals and represent a number of objects with a written numeral. Count by 1 s, 2 s, 5 s and 10 s up to 200. Identify the place value (tens and ones) for digits up to 99. Include counting and grouping objects by tens and ones. Understand that the two digits of a two- digit number represent amounts of tens and ones. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words.

8 UNIT 5: TEN- STRUCTURED APPLICATIONS Math Expressions days Recognize, describe, extend, and replicate simple patterns based on shape, size, color, sound, or number such as abab, abbabb, or aabaab. Use concrete objects to determine a missing addend in a number sentence in which the sum is 20 or less. Continue to develop addition and subtraction facts up to 20. Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Demonstrate fluency in using the following U.S. Algorithms: 1- digit Addition & Subtraction using horizontal and vertical notation 2- digit Addition & Subtraction without regrouping Count to 200 starting at any number less than 200. In this range, read and write numerals and represent a number of objects with a written numeral. Count by 1 s, 2 s, 5 s and 10 s up to 200. Represent equivalent forms of the same number up to 100 with objects or pictures. Identify and state the value of a quarter, dime, nickel, and penny. Show various combinations of a given amount up to 25. Read and write whole numbers from without a model and out of sequence. Include counting and grouping objects by tens and ones. Understand that the two digits of a two- digit number represent amounts of tens and ones. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words.

9 Supplemental Investigations Activities Number Games and Story Problems Combining Situations (pg. 102) (Math Talk Resource) Separating Situations (pg. 109) (Math Talk Resource) Combining with Unknown Change (pg. 138) (Math Talk Resource) Addition and Subtraction (pg. 143) (Math Talk Resource) Solving Story Problems (pg. 149) (Math Talk Resource)

10 UNIT 6: COMPARISONS AND DATA FORMATS Math Expressions days Recognize, describe, extend, and replicate simple patterns based on shape, size, color, sound, or number such as abab, abbabb, or aabaab. Answer questions about bar graphs, tally charts, and pictographs. Measurement and Estimation: Express the length of an object as a whole number of units by repeating multiple copies of a shorter object (the unit of length) end to end. Understand that when measuring the length of an object is equal to the number of same size length units that span it with no gaps or overlaps. Determine the length, height, and width of objects using standard units (inches) of measurement such as a ruler. Describe the various attributes of different objects. Compare how the temperature, capacity, weight and length are greater or less than each other. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Use appropriate language to explain ideas about a model such as a graph. (e.g., all, or, every, none, some or many) Statistics & Data Analysis: Read and interpret a graph to draw conclusions about the data. (e.g., There were eight sunny days in October.) Organize, represent, and interpret data with up to three categories. Describe data in a diagram, graph, or table. Ask and answer questions about the total number of data points (e.g., how many in each category, how many more or less in one category than in another). Answer comparative questions using terms such as most, least, more than, less than, equal to. Answer questions and justify conclusions about information on a graph.

11 Supplemental Investigations Activities Survey Questions and Secret Rules Would you Rather? (pg. 34) More Survey s and Sorting (pg. 43) Representing and Sharing Survey Results (pg. 48) When is Your Birthday? (pg. 56) Whose Birthday Comes Next? (pg. 63) Timeline (pg. 70)

12 UNIT 7: FRACTIONS, CIRCLE GRAPHS, AND CLOCKS Math Expressions days Answer questions about bar graphs, tally charts, and pictographs. Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Demonstrate fluency in using the following U.S. Algorithms: 1- digit Addition & Subtraction using horizontal and vertical notation 2- digit Addition & Subtraction without regrouping Geometry: Draw lines of symmetry in simple shapes such as circle, square and rectangle. Identify objects that are symmetrical. Identify characteristics of symmetry in nature. Identify and draw lines of symmetry for squares, rectangles and triangles. Measurement and Estimation: Name and order the months of the year. Locate and report the date (including month, day and year) on a calendar and identify yesterday s, today s, and tomorrow s date. Project the dates for the following week. Tell and write time in hours and half hours using a digital and analog clock. Divide circles and rectangles into two and four equal shares. Describe shares using the vocabulary: halves, fourths. Use the phrases: half of, fourth of, and quarter of. Write the corresponding fraction given a shaded figure (halves and fourths). Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Probability and Predictions: Determine is mathematical situations are likely, unlikely, fair, unfair, or certain (e.g., spinner, dice). Predict the likelihood of an event; verify the prediction. Answer question with concepts of largest, smallest, most often, least often, and middle.

13 Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words. Use appropriate language to explain ideas about a model such as a graph. (e.g., all, or, every, none, some or many) Statistics & Data Analysis: Read and interpret a graph to draw conclusions about the data. (e.g., There were eight sunny days in October.) Organize, represent, and interpret data with up to three categories. Describe data in a diagram, graph, or table. Ask and answer questions about the total number of data points (e.g., how many in each category, how many more or less in one category than in another). Answer comparative questions using terms such as most, least, more than, less than, equal to. Answer questions and justify conclusions about information on a graph.

14 UNIT 8: MONEY AND 2- DIGIT ADDITION Math Expressions days Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Show various combinations of a given amount up to 25. Identify the place value (tens and ones) for digits up to 99. Include counting and grouping objects by tens and ones. Understand that the two digits of a two- digit number represent amounts of tens and ones. Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Use both horizontal and vertical notation. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words.

15 Unit 9: Analyze Story Problems Math Expressions days Use strategies such as counting on, making ten (8+6=8+2+4, 10+4=14), decomposing a number leading to ten (13-4= , 10-1=9); using the relationship between addition and subtraction (if you know 8+4=12 then you know 12-8=4) and creating equivalent but easier or known sums (6+7 by creating the known equivalent 6+6+1=12+1, OR 13). Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions. Select appropriate problem solving strategy to solve a problem (e.g., guess and check, working backwards, organized list, patterns, make a table/graph, use a picture). Reasoning and Connections: Select and explain reasons for using a strategy to solve a problem using pictures, numbers, and words. Supplemental Investigations Activities Number Games and Story Problems Crayon Puzzles (pg. 30) Combining with Unknown Change (pg. 138) (Math Talk Resource) Addition and Subtraction (pg. 143) (Math Talk Resource) Solving Story Problems (pg. 149) (Math Talk Resource) *SCASD created Story Problems

16 UNIT 10: MEASUREMENT Math Expressions days Estimate objects up to 100. Estimate sums and differences with numbers < 20. Recognize when estimation is or is not a reasonable answer. Measurement and Estimation: Identify how temperature, length, weight and capacity are measured using standard units. Express the length of an object as a whole number of units by repeating multiple copies of a shorter object (the unit of length) end to end. Understand that when measuring the length of an object is equal to the number of same size length units that span it with no gaps or overlaps. Determine the length, height, and width of objects using standard units (inches) of measurement such as a ruler. Compare how the temperature, capacity, weight and length are greater or less than each other. Bigger, Taller, Heavier, Smaller Filling Space (pg. 41) Comparing Containers (pg. 50) Supplemental Investigations Activities