Correlations Charts. NCTM Focal Points and Connections for Grade 3
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1 NCTM and The chart below indicates the lessons in STAMS Book C that provide instruction for the NCTM and related for grade 3. (For correlations between the NCTM Process Standards and the STAMS Series, see pages 29 and 30 of the teacher guide.) NCTM and for Grade 3 STAMS Book C Number and Operations and Algebra: Students develop an understanding of multiplication and division and related fact strategies. Number and Operations: Students develop an understanding of fractions; compare and order fractions using models; and identify equivalent fractions. Lessons 3, 4, 5, 6, 7 Lessons 8, 9, 10, 11, 12 : Students describe, analyze, and compare two-dimensional shapes. Lesson 13 Measurement: Students develop measurement concepts, an ability to measure fractional parts of linear units, and an understanding of perimeter. Data Analysis: Students construct and analyze bar graphs and picture graphs, and use them to solve problems. Number and Operations: Students extend an understanding of place value to numbers up to 10,000 and develop facility with mental computation (addition and subtraction). Lessons 14, 15 Lessons 1, 2 The chart below correlates the lessons in STAMS Book C with for grade 3 mathematics. for Grade 3 Mathematics Operations and Algebraic Thinking STAMS Book C 3.OA.1.. Lesson 3 3.OA.2 Lesson 6 3.OA.3 Lessons 3, 4, 5, 6 3.OA.4... Lesson 7 3.OA.5 Lessons 4, 5, 7 3.OA.6 Lesson 7 3.OA.7 Lesson 7 Number and Operations in Base Ten 3.NBT.1 Lesson 1 3.NBT.2 Lesson 2 for Grade 3 Mathematics Number and Operations Fractions STAMS Book C 3.NF.1... Lessons 8, 9, 11 3.NF.2... Lessons 9, 10, 11, 12 3.NF.3... Lessons 8, 9 Measurement and Data 3.MD.3 3.MD.4 Lesson 14 3.MD.5 Lesson 17 3.MD.6 Lesson 17 3.MD.7 Lesson 17 3.MD.8 Lesson 15 3.G.2... Lesson 13
2 NCTM and The chart below indicates the lessons in STAMS Book D that provide instruction for the NCTM and related for grade 4. (For correlations between the NCTM Process Standards and the STAMS Series, see pages 29 and 30 of the teacher guide.) NCTM and for Grade 4 STAMS Book D Number and Operations and Algebra: Students develop quick recall of basic multiplication facts and related division facts, and apply appropriate methods to multiply multidigit whole numbers. Number and Operations: Students develop an understanding of decimals, including the relationship between fractions and decimals. Measurement: Students develop an understanding of area and then determine the areas of two-dimensional shapes. Lessons 1, 2, 3, 4, 17 Lessons 10, 11, 12 Lessons 14, 15 Measurement: Students classify and measure angles. Lesson 13 Data Analysis: Students analyze line plots and use them to solve problems. Number and Operations: Students develop understandings of strategies for multidigit division. Number and Operations: Students develop their ability to recognize equivalent fractions and their understanding of techniques for generating and simplifying equivalent fractions. Lessons 5, 6, 7, 18 Lessons 8, 9 The chart below correlates the lessons in STAMS Book D with for grade 4 mathematics. for Grade 4 Mathematics Operations and Algebraic Thinking STAMS Book D 4.OA.1 Lesson 1 4.OA.4 Lessons 2, 9 Number and Operations in Base Ten 4.NBT.1 Lessons 2, 3, 4, 6, 7, 17, 18 4.NBT.4 Lessons 4, 6, 7 4.NBT.5 Lessons 2, 3, 4, 17 4.NBT.6 Lessons 5, 6, 7, 18 Number and Operations Fractions 4.NF.1 Lessons 8, 9 4.NF.2 Lessons 8, 9 for Grade 4 Mathematics STAMS Book D 4.NF.3 Lesson 19 4.NF.6 Lessons 10, 12 4.NF.7 Lesson 11 Measurement and Data 4.MD.3 Lessons 14, 15 4.MD.4 4.MD.5 Lesson 13 4.G.2 Lesson 13
3 NCTM and The chart below indicates the lessons in STAMS Book E that provide instruction for the NCTM and related for grade 5. (For correlations between the NCTM Process Standards and the STAMS Series, see pages 29 and 30 of the teacher guide.) NCTM and for Grade 5 STAMS Book E Number and Operations and Algebra: Students develop fluency with division of whole numbers. Number and Operations: Students develop fluency with addition and subtraction of fractions and decimals. and Measurement and Algebra: Students describe and analyze properties of three-dimensional shapes, including surface area and volume. Lessons 2, 3, 4, 5, 6 Lessons 7, 8, 9, 10, 11, 12 Lessons 13, 14, 15 Algebra: Students use patterns, models, and relationships to solve simple equations. Lessons 9, 10, 11 Data Analysis: Students apply their understanding of whole numbers, fractions, and decimals to construct and analyze line graphs. Number and Operations: Students apply their knowledge of multiplication to larger whole numbers. Lesson 1 The chart below correlates the lessons in STAMS Book E with for grade 5 mathematics. for Grade 5 Mathematics Number and Operations in Base Ten 5.NBT.1 STAMS Book E Lessons 1, 2, 3, 4, 5, 6, 20 5.NBT.2 Lesson 20 5.NBT.4 Lessons 12, 21, 22, 23 5.NBT.6 Lessons 2, 3, 4, 5, 6 5.NBT.7 Number and Operations Fractions Lessons 12, 21, 22, 23 5.NF.1 Lessons 8, 9, 10, 11 5.NF.2 Lessons 8, 9, 10, 11 5.NF.3 Lesson 7 5.NF.4 Lessons 17, 18 5.NF.6 Lessons 17, 18 5.NF.7 Lesson 19 for Grade 5 Mathematics Measurement and Data STAMS Book E 5.MD.2 5.MD.3 Lesson 15 5.MD.4 Lesson 15 5.MD.5 Lesson 15 5.G.1 5.G.3 Lesson 13 NOTE: Lesson 14 = no correlation
4 NCTM and The chart below indicates the lessons in STAMS Book F that provide instruction for the NCTM and related for grade 6. (For correlations between the NCTM Process Standards and the STAMS Series, see pages 29 and 30 of the teacher guide.) NCTM and for Grade 6 STAMS Book F Number and Operations: Students develop fluency with multiplication and division of fractions and decimals. Number and Operations: Students develop understanding of ratio and rate and relate them to multiplication and division. Algebra: Students write, interpret, and use mathematical expressions and equations. Lessons 1, 2, 3, 4, 5, 6, 7, 8 Lessons 9, 10, 11, 12 Lessons 12, 13, 14, 15, 16 Measurement and : Students solve problems involving area and volume. Lessons 15, 16 The chart below correlates the lessons in STAMS Book F with for grade 6 mathematics. for Grade 6 Mathematics STAMS Book F for Grade 6 Mathematics STAMS Book F Ratios and Proportional Relationships 6.RP.1 Lesson 9 6.RP.2 Lessons 11, 12 6.RP.3 Lessons 10, 11, 12 The Number System 6.NS.1 Lesson 4 6.NS.3 Lessons 6, 7, 8 6.NS.5 Lesson 17 6.NS.6 Lesson 17 6.NS.7 Lesson 17 Expressions and Equations 6.EE.2 Lessons 13, 14 6.EE.5 Lessons 13, 14 6.EE.6 Lessons 13, 14, 15 6.EE.7 Lessons 13, 14, 15 6.EE.9 Lessons 12, 15 6.G.2 Statistics and Probability 6.SP.2 Lesson 18 6.SP.3 Lesson 18 6.SP.4 Lesson 18 6.SP.5 Lesson 18
5 NCTM and The chart below indicates the lessons in STAMS Book G that provide instruction for the NCTM and related for grade 7. (For correlations between the NCTM Process Standards and the STAMS Series, see pages 29 and 30 of the teacher guide.) NCTM and for Grade 7 STAMS Book G Number and Operations and Algebra and : Students develop an understanding of and apply proportionality, including similarity. Measurement and and Algebra: Students develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes. Number and Operations and Algebra: Students develop an understanding of operations on all rational numbers and solve linear equations. Lessons 7, 8, 9, 10, 11, 12 Lessons 13, 14 Lessons 1, 2, 3, 4, 5, 6 Data Analysis: Students make and interpret circle graphs. Lesson 15 Probability: Students determine theoretical probabilities and use theoretical probability and proportions to make approximate predictions. The chart below correlates the lessons in STAMS Book G with for grade 7 mathematics. for Grade 7 Mathematics Ratios and Proportional Relationships STAMS Book G 7.RP.1 Lesson 9 7.RP.2 Lesson 7 7.RP.3 Lessons 8, 9, 10, 11 The Number System 7.NS.1 Lesson 2 7.NS.2 Lesson 3 7.NS.3 Lessons 2, 3, 6 Expressions and Equations 7.EE.1 Lesson 4 7.EE.3 Lessons 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 7.EE.4 Lessons 5, 6 for Grade 7 Mathematics STAMS Book G 7.G.1 Lesson 12 7.G.4 Lesson 13 7.G.5 Lesson 17 7.G.6 Lessons 13, 14 Statistics and Probability 7.SP.1 7.SP.2
6 NCTM and The chart below indicates the lessons in STAMS Book H that provide instruction for the NCTM and related for grade 8. (For correlations between the NCTM Process Standards and the STAMS Series, see pages 29 and 30 of the teacher guide.) NCTM and for Grade 8 STAMS Book H Algebra: Students analyze and represent linear functions and solve linear equations and systems of linear equations. and Measurement: Students analyze two- and three-dimensional space and figures using distance and angles. Data Analysis and Number and Operations and Algebra: Students analyze and summarize data sets. Lessons 3, 4, 5, 6, 7, 8, 9 Lessons 10, 11, 12, 13, 14 Lessons 15, 16 Algebra: Students identify linear and nonlinear equations. Lesson 5 : Students develop an understanding that all slope triangles created on a given line in a coordinate plane are similar. Data Analysis: Students use scatter plots to display bivariate data and estimate lines of best fit to make and test conjectures. Number and Operations: Students use exponents and square roots to express quantities. Lesson 12 Lessons 1, 2 The chart below correlates the lessons in STAMS Book H with for grade 8 mathematics. for Grade 8 Mathematics The Number System STAMS Book H 8.NS.1 Lesson 4 8.NS.2 Lesson 2 Expressions and Equations 8.EE.1... Lesson 1 8.EE.2 Lesson 2 8.EE.6 Lesson 12 8.EE.7 Lessons 3, 4, 5 8.EE.8 Lessons 8, 9 Functions 8.F.3 Lessons 5, 7 8.F.4 Lessons 5, 6, 7 8.F.5 Lesson 5 for Grade 8 Mathematics STAMS Book H 8.G.5 Lessons 10, 11, 12 8.G.6 Lesson 13 8.G.7 Lesson 13 8.G.8 Lesson 14 8.G.9 Lesson 1 Statistics and Probability 8.SP.1 8.SP.2
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