Grade 4 · Mathematics
4.10A
Fixed vs. variable expenses
Distinguish between fixed and variable expenses.
4.10B
Profit
Calculate profit in a given situation.
4.10C
Savings options
Compare advantages and disadvantages of various savings options.
4.10D
Allowance allocation
Describe how to allocate a weekly allowance among spending, saving (including college), and sharing.
4.10E
Financial institutions
Describe the basic purpose of financial institutions (keeping money safe, borrowing, lending).
4.1A
Apply mathematics
Apply mathematics to problems in everyday life, society, and the workplace.
4.1B
Problem-solving model
Use a problem‑solving model to analyze information, plan, determine a solution, justify, and evaluate reasonableness.
4.1C
Select tools & techniques
Select tools and techniques (mental math, estimation, number sense) to solve problems.
4.1D
Communicate ideas
Communicate mathematical ideas using multiple representations.
4.1E
Use representations
Create and use representations to organize, record, and communicate ideas.
4.1F
Analyze relationships
Analyze mathematical relationships to connect and communicate ideas.
4.1G
Justify precisely
Display, explain, and justify ideas using precise mathematical language.
4.2A
Place value relationships
Interpret each place‑value position as 10 times the position to the right and as one‑tenth of the value to the left.
4.2B
Value of digits
Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to hundredths using expanded notation and numerals.
4.2C
Compare/order whole numbers
Compare and order whole numbers to 1,000,000,000 using >, <, or =.
4.2D
Round whole numbers
Round whole numbers to a given place value through the hundred thousands place.
4.2E
Model decimals
Represent decimals, including tenths and hundredths, using concrete/visual models and money.
4.2F
Compare/order decimals
Compare and order decimals using concrete and visual models to the hundredths.
4.2G
Decimals ↔ fractions
Relate decimals to fractions that name tenths and hundredths.
4.2H
Decimals on number line
Determine the corresponding decimal to the tenths or hundredths of a specified point on a number line.
4.3A
Fraction as sum of unit fractions
Represent a/b as a sum of 1/b, including when a>b.
4.3B
Decompose fractions
Decompose a fraction in more than one way into a sum of fractions with the same denominator; record with symbolic representations.
4.3C
Equivalent fractions
Determine if two fractions are equivalent using a variety of methods.
4.3D
Compare unlike fractions
Compare two fractions with different numerators and denominators; represent comparisons with >, =, <.
4.3E
Add/Subtract like denominators
Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models building to the number line.
4.3F
Reasonableness with benchmarks
Evaluate reasonableness of sums/differences using benchmarks 0, 1/4, 1/2, 3/4, 1.
4.3G
Fractions & decimals as distances
Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.
4.4A
Add/Subtract (standard algorithm)
Add and subtract whole numbers and decimals to hundredths using the standard algorithm.
4.4B
Multiply by 10s/100s
Determine products of a number and 10 or 100 using properties and place value.
4.4C
Two-digit × two-digit (models)
Represent product of two two‑digit numbers using arrays, area models, or equations, including perfect squares through 15×15.
4.4D
Multi-digit multiplication
Use strategies, including the standard algorithm, to multiply up to a four‑digit by one‑digit and two‑digit by two‑digit number.
4.4E
Quotients (models)
Represent quotient of up to a four‑digit number divided by a one‑digit number using arrays, area models, or equations.
4.4F
Long division
Use strategies, including the standard algorithm, to divide up to a four‑digit number by a one‑digit divisor.
4.4G
Estimation
Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions.
4.4H
Solve multistep problems
Solve with fluency one‑ and two‑step problems involving multiplication and division, including interpreting remainders.
4.5A
Strip diagrams & equations
Represent multi‑step problems with strip diagrams and equations using a letter for the unknown.
4.5B
Input–output tables & rules
Represent problems using input‑output tables and numerical expressions to generate number patterns and describe positions in the sequence.
4.5C
Perimeter/area formulas
Use models to determine formulas for perimeter of rectangles/squares and area of rectangles.
4.5D
Solve perimeter & area problems
Solve problems related to perimeter and area of rectangles with whole‑number dimensions.
4.6A
Points, lines, angles
Identify points, lines, line segments, rays, angles, and perpendicular/parallel lines.
4.6B
Lines of symmetry
Identify and draw one or more lines of symmetry for a 2D figure, if they exist.
4.6C
Triangles by angles
Use right angles to identify acute, right, and obtuse triangles.
4.6D
Classify 2D figures
Classify 2D figures based on presence or absence of parallel/perpendicular lines or specified angle sizes.
4.7A
Angle as part of a circle
Illustrate angle measure as part of a circle with center at the vertex; angle measures limited to whole numbers.
4.7B
Degrees as units
Illustrate degrees as units of measure for angles (n/360 of a circle).
4.7C
Approximate measures
Determine approximate measures of angles in degrees to the nearest whole number using a protractor.
4.7D
Draw angles
Draw an angle with a given measure.
4.7E
Unknown angle measures
Determine the measure of an unknown angle formed by two non‑overlapping adjacent angles given one or both measures.
4.8A
Relative sizes of units
Identify relative sizes of units within the customary and metric systems.
4.8B
Convert within a system
Convert measurements within the same system (customary or metric) using a table.
4.8C
Solve measurement problems
Solve problems with length, time intervals, liquid volume, mass, and money using the four operations as appropriate.
4.9A
Represent data
Represent data on a frequency table, dot plot, or stem‑and‑leaf plot (whole numbers and fractions).
4.9B
Solve problems with data
Solve one‑ and two‑step problems using data (whole number, decimal, and fraction form) in tables and plots.