PART 1 OPERATIONS AND ALGEBRAIC THINKING (OA) Chapter 01 USE PARENTHESES, BRACKETS, OR BRACES IN NUMERICAL EXPRESSIONS (A 1) Chapter 02 CREATING EXPRESSIONS USING PARENTHESES (A 2) Chapter 03 ANALYZE PATTERNS AND RELATIONSHIPS (A 3) PART 2 NUMBER AND OPERATIONS IN BASE TEN (NBT) Chapter 04 RECOGNIZE THAT IN A MULT-IGIT NUMBER, A DIGIT IN ONE PLACE IS 10 TIMES AS MUCH AS IT IS IN THE PLACE TO ITS RIGHT AND 1/10 WHAT IT IS IN THE PLACE TO ITS LEFT. (NBT. 1) Chapter 05 EXPLAIN PATTERNS IN THE NUMBER OF ZEROS OF THE PRODUCT WHEN MULTIPLYING A NUMBER BY POWERS OF 10, AND EXPLAIN PATTERNS IN THE PLACEMENT OF THE DECIMAL POINT WHEN A DECIMAL IS MULTIPLE OR DVE BY A POWER OF 10. USE WHOLE-NUMBER EXPONENTS TO DENOTE POWERS OF 10. (NBT. 2) Chapter 06 READ, WRITE, AND COMPARE DECIMALS TO THOUSANDTHS (NBT. 3) Chapter 07 USE PLACE VALUE UNDERSTANDING TO ROUND DECIMALS TO ANY PLACE (NBT. 4) Chapter 08 FLUENTLY MULTIPLY MULT-IGIT WHOLE NUMBERS USING THE STANDARD ALGORITHM. (NBT. 5) Chapter 09 FN WHOLE-NUMBER UOTIENTS OF WHOLE NUMBERS WITH UP TO FOURDIGIT DVIENDS AND TWO-DIGIT DIVISORS (NBT. 6) PART 3 NUMBERS AND OPERATIONS — FRACTIONS (NF) Chapter 10 ADD AND SUBTRACT FRACTIONS WITH UNLIKE DENOMINATORS (INCLUDING MXE NUMBERS) BY REPLACING GIVEN FRACTIONS WITH EUIVALENT FRACTIONS IN SUCH A WAY AS TO PRODUCE AN EUIVALENT SUM OR DIFFERENCE OF FRACTIONS WITH LIKE DENOMINATORS (NF. 1) Chapter 11 SOLVE WORD PROBLEMS INVOLVING ADDITION AND SUBTRACTION OF FRACTIONS REFERRING TO THE SAME WHOLE, INCLUDING CASES OF UNLIKE DENOMINATORS, E.G., BY USING VISUAL FRACTION MODELS OR EUATIONS TO REPRESENT THE PROBLEM. USE BENCHMARK FRACTIONS AND NUMBER SENSE OF FRACTIONS TO ESTIMATE MENTALLY AND ASSESS THE REASONABLENESS OF ANSWERS. (NF. 2) Chapter 12 INTERPRET A FRACTION AS DIVISION OF THE NUMERATOR BY THE DENOMINATOR (A/B = A ÷ B). SOLVE WORD PROBLEMS INVOLVING DIVISION OF WHOLE NUMBERS LEADING TO ANSWERS IN THE FORM OF FRACTIONS OR MXE NUMBERS. ( NF. 3 ) Chapter 13 APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION TO MULTIPLY A FRACTION OR WHOLE NUMBER BY A FRACTIN (NF. 4) Chapter 14 INTERPRET MULTIPLICATION AS SCALING BY COMPARING THE SIZE OF A PRODUCT TO THE SIZE OF ONE FACTOR ON THE BASIS OF THE SIZE OF THE OTHER FACTOR, WITHOUT PERFORMING THE NICATED MULTIPLICATIN (NF. 5) Chapter 15 SOLVE REAL WORLD PROBLEMS INVOLVING MULTIPLICATION OF FRACTIONS AND MXE NUMBERS, E.G., BY USING VISUAL FRACTION MODELS OR EUATIONS TO REPRESENT THE PROBLEM. (NF. 6) Chapter 16 APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF DIVISION TO DVIE UNIT FRACTIONS BY WHOLE NUMBERS AND WHOLE NUMBERS BY UNIT FRACTINS (NF.7) PART 4 MEASUREMENTS AND DATA (MD) Chapter 17 CONVERT AMONG DIFFERENT-SZE STANDARD MEASUREMENT UNITS WITHIN A GIVEN MEASUREMENT SYSTEM, AND USE THESE CONVERSIONS IN SOLVING MULTI-STEP, REAL WORLD PROBLEMS. (MD. 1) Chapter 18 MAKE A LINE PLOT TO DISPLAY A DATA SET OF MEASUREMENTS IN FRACTIONS OF A UNIT (1/2, 1/4, 1/8). USE OPERATIONS ON FRACTIONS FOR THIS GRADE TO SOLVE PROBLEMS INVOLVING INFORMATION PRESENTED IN LINE PLTS (MD. 2) Chapter 19 RECOGNIZE VOLUME AS AN ATTRIBUTE OF SOL FIGURES AND UNDERSTAND CONCEPTS OF VOLUME MEASUREMENT. (MD. 3) PART 5 GEOMETRY (G) Chapter 20 GRAPH POINTS ON THE COORDINATE PLANE TO SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS. (G. 1) Chapter 21 REPRESENT REAL WORLD AND MATHEMATICAL PROBLEMS BY GRAPHING POINTS IN THE FIRST UADRANT OF THE COORDINATE PLANE, AND INTERPRET COORDINATE VALUES OF POINTS IN THE CONTEXT OF THE SITUATIN (G. 2) Chapter 22 UNDERSTAND THAT ATTRIBUTES BELONGING TO A CATEGORY OF TWODIMENSIONAL FIGURES ALSO BELONG TO ALL SUBCATEGORIES OF THAT CATEGRY (G. 3) Chapter CLASSIFY TWO-DIMENSIONAL FIGURES IN A HIERARCHY BASED ON PROPERTIES. (G. 4)