Mathematics

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)
• #3: Compare two multi-digit whole numbers based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons. (4.NBT.2)
• #7: Within a single system of measurement, convert from a larger unit to a smaller unit (e.g., m to cm; min to sec). (4.MD.1)
• #8: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (4.G.1)

Concepts and Skills

Number:

• Read, write and identify the places of numbers
• Compare and order multidigit whole numbers; use symbols (<, >, =) to record
• Use place-value understanding to round whole numbers to any place
• Recognize the relationship between the places in whole numbers

Whole Number Operations:

• Solve multistep number stories involving the four operations, interpreting any remainders
• Add and subtract multi digit whole numbers fluently

Measurement:

• Know relative sizes of measurement units, express measurements in a larger unit in terms of a smaller unit

Geometry:

• Draw and identify points, lines, line segments, rays, and angles (right, acute, obtuse)

Geometric Measurement:

• Apply perimeter formulas for rectangles

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)

Concepts and Skills

Whole Number Operations:

• Illustrate and explain multiplication strategies and calculations
• Find all factor pairs for a whole number in the range 1-100
• Determine whether a whole number is a multiple of a given 1-digit number
• Solve number stories involving multiplicative comparison
• Interpret a multiplication equation as a multiplicative comparison and represent statements of multiplicative comparison as equations

Geometric Measurement:

• Apply area formulas for rectangles

Measurement:

• Know relative sizes of measurement units, express measurements in a larger unit in terms of a smaller unit

Geometry:

• Recognize right triangles as a category, and identify right triangles
• Classify 2-D figures based on line segments or angles
• Recognize that a line of symmetry divides a figure into 2 matching parts
• Generate a number or shape pattern that follows a given rule

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)

Concepts and Skills

Whole Number Operations:

• Add and subtract within 1000 fluently
• Know all square products of one-digit numbers automatically
• Know all the products of one-digit numbers times 1, 2, 3, 10 automatically
• Apply properties of operations to multiply and divide
• Interpret multiplication in terms of equal groups.

Data:

• Solve 1-step and 2-step problems using information in graphs

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)
• #7: Within a single system of measurement, convert from a larger unit to a smaller unit (e.g., m to cm; min to sec). (4.MD.1)

Concepts and Skills

Number:

• Read and write numbers in expanded form

Whole Number Operations:

• Multiply a whole number by a multiple of 10, 100 or 1000
• Multiply a whole number of up to four digits by a 1-digit number and a 2-digit number by a 2-digit number
• Illustrate and explain multiplication strategies and calculations
• Solve multistep number stories involving the four operations, interpreting any remainders

Measurement:

• Know relative sizes of measurement units; express measurements in a larger unit in terms of a smaller unit

Geometric Measurement:

• Apply area formulas for rectangles

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)
• #5: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. (4.NF.3d)
• #8: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (4.G.1)

Concepts and Skills

Whole Number Operations / Algebraic Thinking:

• Model number stories with equations, using a letter for the unknown

Fraction Operations:

• Decompose fractions and mixed numbers and represent the decomposition with an equation
• Understand adding and subtraction fractions as joining and separating parts of the same whole
• Add and subtract mixed numbers with like denominators
• Add two fractions with respective denominators 10 and 100

Fraction Operations / Data:

• Add or subtract fractions to solve problems involving data on line plots

Geometry:

• Recognize and describe angle measure as the amount of a rotation
• Draw, represent, and identify angles, including right, acute and obtuse angles
• Recognize that a line of symmetry divides a figure into 2 matching parts

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)
• #5: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. (4.NF.3d)
• #7: Within a single system of measurement, convert from a larger unit to a smaller unit (e.g., m to cm; min to sec). (4.MD.1)
• #8: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (4.G.1)

Concepts and Skills

Whole Number Operations:

• Divide a whole number of up to four digits by a 1-digit whole number
• Solve multistep number stories involving the four operations, interpreting any remainders
• Illustrate and explain division strategies and calculations

Measurement:

• Know relative sizes of measurement units; express measurements in a larger unit in terms of a smaller unit

Geometry:

• Measure angles in whole-number degrees using a protractor

Fraction Operations:

• Solve number stories involving addition and subtraction of fractions with like denominators
• Multiply a fraction by a whole number

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)
• #4: Use symbols (>, =, <) to compare two fractions with different numerators and different denominators referring to the same whole. (4.NF.2)
• #5: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. (4.NF.3d)
• #7: Within a single system of measurement, convert from a larger unit to a smaller unit (e.g., m to cm; min to sec). (4.MD.1)

Concepts and Skills

Whole Number Operations:

• Divide a whole number of up to four digits by a 1-digit whole number
• Solve number stories involving whole numbers of measured quantities

Fraction / Decimal Operations:

• Multiply a fraction by a whole number
• Understand a fraction a/b as a multiple of 1/b
• Solve a number story involving multiplication of a fraction by a whole number
• Solve number stories involving simple fractions or decimals of measured quantities

Decimals:

• Translate between decimal notation and fractions with denominators 10 or 100

Measurement:

• Know relative sizes of measurement units; express measurements in a larger unit in terms of a smaller unit

Data:

• Organize and represent data on line plots

Power Standards

• #1: Fluently add and subtract multi-digit whole numbers to solve number and word problems. (4.OA; 4.NBT.4)
• #2: Fluently multiply (4-digit x 1-digit, 2-digit x 2-digit) and divide (4-digit x 1-digit) multi-digit whole numbers to solve number and word problems. (4.OA.2; 4.NBT.5-6)
• #4: Use symbols (>, =, <) to compare two fractions with different numerators and different denominators referring to the same whole. (4.NF.2)
• #5: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. (4.NF.3d)
• #7: Within a single system of measurement, convert from a larger unit to a smaller unit (e.g., m to cm; min to sec). (4.MD.1)
• #8: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (4.G.1)

Concepts and Skills

Whole Number Operations:

• Solve multistep number stories involving the four operations, interpreting any remainders
• Add multidigit whole numbers fluently using the standard algorithm
• Divide a whole number of up to four digits by a 1-digit whole number

Fraction / Decimal Operations:

• Translate between decimal notation and fractions with denominators 10 or 100
• Add or subtract fractions to solve problems involving data on line plots
• Solve a number story involving multiplication of a fraction by a whole number
• Solve number stories involving simple fractions or decimals of measured quantities
• Multiply a fraction by a whole number

Geometry:

• Add and subtract to solve problems about unknown angles on a diagram
• Recognize angle measures as additive
• Identify line-symmetric figures and draw lines of symmetry

Geometric Measurement:

• Apply perimeter formulas for rectangles