**4.N-1 reading, writing, ordering, or counting****4.N-2 modeling (base ten blocks) or identifying place value positions to ten thousands****4.N-3 converting between whole numbers expressed in expanded notation and standard form****4.N-4 identifying, describing with explanations, or illustrating equal parts of a whole, a region, or a set (using models)****4.N-5 identifying, describing with explanations, or illustrating equivalent fractions or mixed numbers**- Fractions and mixed numbers: Equivalent fractions (Fourth grade - Q.1)
- Fractions and mixed numbers: Patterns of equivalent fractions (Fourth grade - Q.2)
- Fractions and mixed numbers: Reduce fractions to simplest form (Fourth grade - Q.3)
- Fractions and mixed numbers: Mixed number review (Fourth grade - Q.9)
- Fractions and mixed numbers: Convert between improper fractions and mixed numbers (Fourth grade - Q.10)

**4.N-6 using models, explanations, number lines, or real-life situations describing or illustrating the processes of multiplication****4.N-7 using models, explanations, number lines, or real-life situations describing or illustrating the relationship between multiplication and addition****4.N-8 using models, explanations, number lines, or real-life situations describing or illustrating the relationship between multiplication and division****4.N-9 using models, explanations, number lines, or real-life situations describing or illustrating the process of adding or subtracting fractions with like denominators (2 to 12)**- Add and subtract fractions: Add and subtract fractions with like denominators (Fourth grade - R.1)
- Add and subtract fractions: Add and subtract fractions with like denominators: word problems (Fourth grade - R.2)
- Add and subtract fractions: Add 3 or more fractions with like denominators (Fourth grade - R.3)

**4.N-10 describing or illustrating identity property of multiplication****4.N-11 modeling (with manipulatives) and explaining commutative property of multiplication****4.N-12 identifying or listing factors and multiples of a number****4.MEA-1 estimating length to the nearest half-inch or centimeter****4.MEA-2 estimating temperature (degree Celsius or Fahrenheit) or weight (pounds or kilograms) to the nearest unit****4.MEA-3 identifying or using equivalent measures for length (inch, foot, yard: 12 inches = 1 foot, 3 feet = 1 yard, 36 inches = 1 yard; centimeter, meter: 100 centimeters = 1 meter)****4.MEA-4 selecting an appropriate unit of metric measurement to estimate length, weight or temperature****4.MEA-6 telling time in 5 minute increments using analog clocks****4.MEA-7 counting back change from $5.00****4.MEA-8 determining possible combinations of coins and bills to given amounts****4.MEA-9 simulating multiple purchases and calculating the amount of change from a given bill(s) up to $50.00****4.E&C-1 identifying or using a variety of strategies (e.g., rounding to appropriate place value, multiplying by powers of ten, using front-end estimation) to estimate the results of whole number addition or subtraction computations to 10,000, or simple multiplication or division;**- Addition: Estimate sums (Fourth grade - B.8)
- Addition: Estimate sums: word problems (Fourth grade - B.9)
- Subtraction: Estimate differences (Fourth grade - C.6)
- Subtraction: Estimate differences: word problems (Fourth grade - C.7)
- Multiplication: Estimate products (Fourth grade - D.8)
- Multiplication: Estimate products: word problems (Fourth grade - D.9)
- Division: Estimate quotients, one-digit divisors (Fourth grade - E.10)
- Mixed operations: Estimate sums, differences, products, and quotients: word problems (Fourth grade - F.3)

**4.E&C-2 recalling basic multiplication facts, products to 100, and corresponding division facts efficiently****4.E&C-3 adding or subtracting three-digit whole numbers**- Addition: Add numbers up to millions (Fourth grade - B.1)
- Addition: Add numbers up to millions: word problems (Fourth grade - B.2)
- Addition: Addition: fill in the missing digits (Fourth grade - B.3)
- Addition: Add 3 or more numbers up to millions (Fourth grade - B.5)
- Addition: Choose numbers with a particular sum (Fourth grade - B.7)
- Subtraction: Subtract numbers up to millions (Fourth grade - C.1)
- Subtraction: Subtract numbers up to millions: word problems (Fourth grade - C.2)
- Subtraction: Subtraction: fill in the missing digits (Fourth grade - C.3)
- Subtraction: Choose numbers with a particular difference (Fourth grade - C.5)

**4.E&C-4 multiplying two-digit numbers by single-digit numbers****4.E&C-5 adding fractions with like denominators to 12****4.F&R-1 extending patterns that use addition, subtraction, multiplication, or symbols, up to 10 terms, represented by models (function machine), tables, sequences, or in problem situations**- Addition: Addition patterns over increasing place values (Fourth grade - B.6)
- Subtraction: Subtraction patterns over increasing place values (Fourth grade - C.4)
- Multiplication: Multiplication patterns over increasing place values (Fourth grade - D.6)
- Division: Division patterns over increasing place values (Fourth grade - E.12)
- Functions: Input/output tables with addition, subtraction, multiplication, and division (Fourth grade - H.1)

**4.F&R-2 using rules to express the generalization of a pattern using words, lists, or tables****4.F&R-3 using manipulatives, including a calculator, as tools when describing, extending, or representing a number sequence****4.F&R-4 using an open number sentence (addition, subtraction or multiplication) to solve for an unknown represented by a box or circle (e.g., 9 * __ = 36, __ * 8 = 56, 3 * 6= __)****4.G-1 using the attributes and properties of angles to identify and compare triangles (acute, right, or obtuse) and regular polygons****4.G-2 using the attributes and properties of solid figures (edges, vertices, or the number or shape of faces) to model L, identify, compare, or describe solid figures (cubes, cylinders, rectangular prisms, or spheres) (e.g., cans, dice, boxes, balls)**- Geometry: Identify planar and solid figures (Fourth grade - P.1)
- Geometry: Open and closed shapes and qualities of polygons (Fourth grade - P.3)
- Geometry: Which 3-dimensional figure is being described? (Fourth grade - P.5)
- Geometry: Count and compare sides, edges, faces, and vertices (Fourth grade - P.8)

**4.G-3 identifying or drawing all lines of symmetry to identify figures that are symmetrical****4.G-4 identifying shapes that are congruent****4.G-5 illustrating or identifying the results of transformations (turns) of polygons by continuing a given pattern****4.G-6 estimating or determining area or perimeter of rectangles, squares and irregular shapes on grids with a key or ruler****4.G-8 identifying or drawing parallel or intersecting line segments****4.S&P-1 designing an investigation and collecting, organizing or displaying, using appropriate scale, data in real-world problems (e.g., social studies, friends, or school), using bar graphs, tables, charts, or diagrams with whole numbers up to 25****4.S&P-2 using information from a variety of displays (tables, bar graphs, or Venn diagrams)****4.S&P-3 using mode or range with up to 5 pieces of data with a value of 10 or less each****4.S&P-4 predicting or explaining the probability of all possible outcomes in a simple experiment (e.g., spinners, dice, coins)****4.S&P-5 determining possible combinations in a given situation involving up to 3 items (e.g., how many ways can you choose two fruits out of a basket containing oranges and bananas? -three ways: two bananas; one orange and one banana; and two oranges)**

**4.PS-1 selecting and applying appropriate strategy (e.g., lists, guess and check; extended patterns) to solve a variety of problems**- Mixed operations: Word problems with extra or missing information (Fourth grade - F.5)
- Mixed operations: Solve word problems using guess-and-check (Fourth grade - F.6)
- Mixed operations: Choose numbers with a particular sum, difference, product, or quotient (Fourth grade - F.7)
- Mixed operations: Mentally add and subtract numbers ending in zeroes (Fourth grade - F.8)

**4.PS-3 representing problems using mathematical language including concrete, pictorial, and/or symbolic representation; or by organizing and communicating mathematical problem-solving strategies and solutions to problems**- Mixed operations: Multi-step word problems (Fourth grade - F.4)
- Mixed operations: Inequalities involving addition, subtraction, multiplication, and division (Fourth grade - F.9)
- Algebra: Write variable expressions (Fourth grade - G.1)
- Algebra: Write variable expressions: word problems (Fourth grade - G.2)
- Algebra: Write variable equations to represent word problems (Fourth grade - G.5)