AZ.4.OA.A.3.1: The Highly Proficient student can solve a variety of problems based on the multiplication principle of counting. 1. Represent a variety of counting problems using arrays, charts, and systematic lists, e.g., tree diagram. 2. Analyze relationships among representations and make connections to the multiplication principle of counting.
4.M.NBT.A.01: The Highly Proficient student can determine that a digit in one place represents ten times what it represents in the place to its right in real world contexts.
4.M.NBT.A.02: The Highly Proficient student can use place value understandings to read, write, and compare multi-digit whole numbers in real world contexts.
4.M.NBT.A.03: The Highly Proficient student can use place value understanding to round multi-digit whole numbers in real world contexts.
4.M.NBT.B.04: The Highly Proficient student can fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.M.NBT.B.05: The Highly Proficient student can use and explain different multiplication strategies when solving 4 digit by 1 and 2 digit real world problems.
4.M.NBT.B.06: The Highly Proficient student can use and explain different division strategies when dividing 4 digit dividends by 1 digit divisors with remainders.
4.M.OA.A.01: The Highly Proficient student can interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
4.M.OA.A.02: The Highly Proficient student can solve and create multiplication and division word problems using drawings and equations with a variable.
4.M.NF.A.01: The Highly Proficient student can use a variety of strategies to generate and explain why one fraction is equivalent to another fraction.
4.M.NF.A.02: The Highly Proficient student can compare and order fractions with different numerators and different denominators.
4.M.NF.B.03a-d: The Highly Proficient student can add and subtract more than 2 fractions with like denominators and can decompose a fraction into a sum with the same denominator in multiple ways. The Highly Proficient student can add and subtract more than 2 mixed numbers with like denominators and can solve word problems by adding and subtracting mixed numbers with like denominators.
4.M.NF.B.04a-c: The Highly Proficient student can solve more complex word problems by multiplying a fraction by a whole number.
4.M.NF.C.05: The Highly Proficient student can solve missing addend problems with respective denominators 10 and 100 by first finding equivalent fractions with like denominators.
4.M.NF.C.06: The Highly Proficient student can convert a number with decimal notation to a decimal fraction with denominators of 10 or 100.
4.M.NF.C.07: The Highly Proficient student can order decimal sets composed of tenths and hundredths by reasoning about their size.
4.M.OA.B.04: The Highly Proficient student can apply the concept of both factors and prime and composite numbers in problem-solving contexts.
4.M.G.A.01: The Highly Proficient student can draw and describe the relationships between points, lines, line segments, rays, and angles including parallelism and perpendicularity.
4.M.G.A.02: The Highly Proficient student can create a two-dimensional shape when given specific attributes.
4.M.G.A.03: The Highly Proficient student can recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
4.M.MD.A.01: The Highly Proficient student can determine the appropriate unit of measurement in a given context. (Stand alone-not word problems)
4.M.MD.A.02: The Highly Proficient student can use the four operations to solve multi-step word problems including problems with fractions or decimals and can represent measurement quantities using diagrams.
4.M.MD.A.03: The Highly Proficient student can apply area and perimeter formulas for rectilinear shapes in real world and mathematical problems.
4.M.MD.B.04: The Highly Proficient student can make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
4.M.MD.C.05: The Highly Proficient student can decompose angles into multiple angles and give the measure of each angle in relationship to the whole.
4.M.MD.C.06: The Highly Proficient student can measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
4.M.MD.C.07: The Highly Proficient student can analyze an angle to find its missing parts.
4.M.OA.C.05: The Highly Proficient student can generate a number or shape pattern that combines two operations for a given rule.
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4.M.OA.A.03: The Highly Proficient student can solve multi-step word problems with multiple solutions and determine which solution would be most reasonable. The Highly Proficient student can analyze relationships within a counting problem and make connections to multiplication.
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