Core Skills for Fourth Graders 

Multiplication facts are an important part of fourth grade math because they form the foundation for many of the concepts we’ll be learning, like long division, fractions, and multi-step problem solving. In our class, we’ll focus on building multiplication fact fluency through a variety of strategies—not just memorization. Understanding how and why the facts work helps students develop number sense and confidence. Our goal is for students to be accurate, efficient, and flexible thinkers when working with multiplication, so they’re prepared for more complex math in the future. 

Units of Study

1st Nine Weeks

Place Value

• Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left

• Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals (Essential Standard)

• Compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =;

• Compare and order decimals using concrete and visual models to the hundredths

• Relate decimals to fractions that name tenths and hundredths

• Determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line

Addition & Subtraction Problem Solving

• Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm (Essential Standard)

• Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers

• Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity

2nd Nine Weeks

Multiplication & Division Problem Solving

• Determine products of a number and 10 or 100 using properties of operations and place value understandings

• Represent the product of 2 two‐digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15

• Use strategies and algorithms, including the standard algorithm, to multiply up to a four‐digit number by a one‐digit number and to multiply a two‐digit number by a two‐digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties

• Represent the quotient of up to a four‐digit whole number divided by a one‐digit whole number using arrays, area models, or equations 

• Use strategies and algorithms, including the standard algorithm, to divide up to a four‐digit dividend by a one‐digit divisor

• Solve one and two-step problems involving multiplication and division, including interpreting remainders. (Essential Standard)

• Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers 

• Represent multi‐step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity 

• Use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l +2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l xw) 

• Solve problems related to perimeter and area of rectangles where dimensions are whole numbers

Geometry/Angle Measurement

• Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines

• Identify and draw one or more lines of symmetry, if they exist, for a two‐dimensional figure 

• Apply knowledge of right angles to identify acute, right, and obtuse triangles 

• Classify two‐dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size

3rd Nine Weeks

Fractions

• Relate decimals to fractions that name tenths and hundredths

• Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b >0, including when a > b 

• Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations 

• Determine if two given fractions are equivalent using a variety of methods 

• Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or < 

• Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations (Essential Standard)

• Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole 

• Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line

Measurement Conversion

• Identify relative sizes of measurement units within the customary and metric systems (4.8(A))

• Convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table

• Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate

4th Nine Weeks

Data Analysis

• Represent data on a frequency table, dot plot, or stem‐and‐leaf plot marked with whole numbers and fractions 

• Solve one‐ and two‐step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem‐and‐leaf plot