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Module 1: Counting and Cardinality |
Lesson 1: Compare objects based on their attributes. |
Lesson 2: Classify objects into two categories. |
Lesson 3: Classify objects into two categories and count. |
Lesson 4: Classify objects into three categories and count. |
Lesson 5: Classify objects into three categories, count, and match to a numeral. |
Lesson 6: Organize, count, and represent a collection of objects. |
Lesson 7: Practice counting accurately. |
Lesson 8: Count sets in linear, array, and scattered configurations. |
Lesson 9: Conserve number regardless of the arrangement of objects. |
Lesson 10: Count out a group of objects to match a numeral. |
Lesson 11: Write numerals 1-3 to answer how many questions. |
Lesson 12: Write numerals 4 and 5 to answer how many questions. |
Lesson 13: Count out enough objects and write the numeral. |
Lesson 14: Understand the meaning of zero and write the numeral. |
Lesson 15: Sort the same group of objects in more than one way and count. |
Lesson 16: Decompose a set shown in a picture. |
Lesson 17: Model story problems. |
Lesson 18: Model story problems and identify the numeral referents. |
Lesson 19: Organize, count, and represent a collection of objects. |
Lesson 20: Count objects in 5-group and array configurations and match to a numeral. |
Lesson 21: Count sets in circular configurations and match to a numeral. |
Lesson 22: Count sets in scattered configurations and match to a numeral. |
Lesson 23: Conserve number regardless of the order in which objects are counted. |
Lesson 24: Count out a group of objects to match a numeral. |
Lesson 25: Write numerals 6 and 7. |
Lesson 26: Write numeral 8. |
Lesson 27: Write numerals 9 and 10. |
Lesson 28: Order numerals 1-10 and reason about an unknown number in the number sequence. |
Lesson 29: Model the pattern of 1 more in the forward count sequence. |
Lesson 30: Build number stairs to show the pattern of 1 more in the forward count sequence. |
Lesson 31: Model the pattern of 1 less in the backward count sequence. |
Lesson 32: Build number stairs to show the pattern of 1 less in the backward count sequence. |
Lesson 33: Organize, count, and represent a collection of objects. |
Module 2: Two- and Three-Dimensional Shapes |
Lesson 1: Find and describe attributes of flat shapes. |
Lesson 2: Classify shapes as triangles or nontriangles. |
Lesson 3: Classify shapes as circles, hexagons, or neither. |
Lesson 4: Classify shapes as rectangles or non rectangles, with square rectangles as a special case. |
Lesson 5: Communicate the position of flat shapes by using position words. |
Lesson 6: Distinguish between flat and solid shapes. |
Lesson 7: Name solid shapes and discuss their attributes. |
Lesson 8: Classify solid shapes based on the ways they can be moved. |
Lesson 9: Match solid shapes to their two-dimensional faces. |
Lesson 10: Construct a circle. |
Lesson 11: Construct and classify polygons. |
Lesson 12: Construct solid shapes by using a square base. |
Lesson 13: Draw flat shapes. |
Lesson 14: Compose flat shapes. |
Lesson 15: Compose solid shapes to create a structure that can fit a toy inside. |
Lesson 16: Organize, count, and represent a collection of objects. (Optional) |
Module 3: Comparison |
Lesson 1: Align endpoints to compare lengths by using taller than and shorter than. |
Lesson 2: Compare lengths of simple straight objects. |
Lesson 3: Compare lengths of complex objects. |
Lesson 4: Compare the lengths of cube sticks to flat shapes. |
Lesson 5: Compare the lengths of two cube sticks. |
Lesson 6: Compose cube sticks that are the same length. |
Lesson 7: Compare weights by using heavier than, lighter than, and about the same weight as. |
Lesson 8: Use a scale to compare two objects. |
Lesson 9: Use a scale to compare an object to a group of cubes. |
Lesson 10: Use a scale to compare an object to different units. |
Lesson 11: Observe conservation of weight on the scale. |
Lesson 12: Relate more and fewer to length. |
Lesson 13: Compare sets by using more than, fewer than, and the same number as. |
Lesson 14: Use number to compare sets with like units. |
Lesson 15: Classify flat shapes into groups and compare the number of shapes in each group. |
Lesson 16: Count and compare sets with unlike units. |
Lesson 17: Count and compare sets in pictures. |
Lesson 18: Compare the capacity of containers by using numerals. |
Lesson 19: Compare numbers by using greater than, less than, and equal to. |
Lesson 20: Compare two numerals in story situations. |
Lesson 21: Describe and compare several measurable attributes of objects and sets. |
Lesson 22: Organize, count, and represent a collection of objects. (Optional) |
Module 4: Composition and Decomposition |
Lesson 1: Compose flat shapes and count the parts. |
Lesson 2: Decompose flat shapes and count the parts. |
Lesson 3: Decompose a group to identify parts and total. |
Lesson 4: Decompose a group and record parts and total by using a number bond. |
Lesson 5: Sort to decompose a number in more than one way. |
Lesson 6: Decompose a number in more than one way and record. |
Lesson 7: Find partners to 5. |
Lesson 8: Find partners to 10. |
Lesson 9: Compose shapes in more than one way. |
Lesson 10: Sort and record the decomposition with a number bond. |
Lesson 11: Model put together story problems. |
Lesson 12: Draw to represent put together story problems. |
Lesson 13: Choose a math tool to solve put together story problems. |
Lesson 14: Model take apart with both addends unknown situations. |
Lesson 15: Choose a math tool to solve take apart with both addends unknown situations. |
Lesson 16: Compose and decompose numbers and shapes. |
Lesson 17: Organize, count, and represent a collection of objects. (Optional) |
Lesson 18: Use the structure of 5 and 10 to build a rekenrek. (Optional) |
Module 5: Addition and Subtraction |
Lesson 1: Represent add to with result unknown story problems by using drawings and numbers. |
Lesson 2: Relate number sentences and number bonds through story problems. |
Lesson 3: Represent and solve add to with result unknown story problems. |
Lesson 4: Represent decomposition situations by using number bonds and addition sentences. |
Lesson 5: Represent take apart with both addends unknown situations with a number sentence. |
Lesson 6: Tell addition story problems starting from number sentence models. |
Lesson 7: Find the total in an addition sentence. |
Lesson 8: Understand taking away as a type of subtraction. |
Lesson 9: Represent take from with result unknown story problems by using drawings and numbers. |
Lesson 10: Represent and solve take from with result unknown story problems. |
Lesson 11: Represent decomposition situations by using number bonds and subtraction sentences. |
Lesson 12: Relate parts to total in subtraction situations. |
Lesson 13: Tell subtraction story problems starting from number sentence models. |
Lesson 14: Find the difference in a subtraction sentence. |
Lesson 15: Identify the action in a problem to represent and solve it. |
Lesson 16: Relate addition and subtraction through word problems. |
Lesson 17: Reason about different units to solve story problems. |
Lesson 18: Count starting from a number other than 1 to find the total. |
Lesson 19: Represent and solve take from with change unknown problems. |
Lesson 20: Find the number that makes 10 and record with a number sentence. |
Lesson 21: Organize drawings to solve problems efficiently. |
Lesson 22: Identify and extend linear patterns. |
Lesson 23: Use a pattern to make a prediction. |
Lesson 24: Solve story problems by using repeated reasoning. |
Lesson 25: Extend growing patterns. |
Lesson 26: Reason about numbers to add and subtract. |
Lesson 27: Organize, count, and represent a collection of objects. (Optional) |
Module 6: Place Value Foundations |
Lesson 1: Describe teen numbers as 10 ones and ____ ones. |
Lesson 2: Find 10 ones in a teen number. |
Lesson 3: Write numerals 11-20. |
Lesson 4: Order numerals 0-20. |
Lesson 5: Reason about a number’s position in the number sequence. |
Lesson 6: Count out a group of objects to match a numeral. |
Lesson 7: Decompose numbers 10-20 with 10 as a part. |
Lesson 8: Represent teen number compositions and decompositions as addition sentences. |
Lesson 9: Represent teen number decompositions as subtraction sentences. |
Lesson 10: Make sense of word problems involving teen numbers. |
Lesson 11: Represent teen number decompositions as 10 ones and some ones and find a hidden part. |
Lesson 12: Investigate different ways to decompose teen numbers. (Optional) |
Lesson 13: Organize, collect, and represent a collection of objects. |
Lesson 14: Count by tens. |
Lesson 15: Count by tens using math tools. |
Lesson 16: Use the structure of ten to count to 100. |
Lesson 17: Use patterns in the number sequence to count by ones within 100. |
Lesson 18: Count within and across decades when counting by ones, part 1. |
Lesson 19: Count within and across decades when counting by ones, part 2. |
Lesson 20: Compare totals in story situations. (Optional) |
Lesson 21: Count and compare sets with more than 10 objects. (Optional) |
Lesson 22: Compare area by comparing number. (Optional) |
Lesson 23: Compare lengths of objects by using 10-sticks and individual cubes. (Optional) |
Lesson 24: Organize, count, and represent a collection of objects. |