US MATH G4 – EDmama US

A. Numbers and Operations

A.01. Understand and apply the properties of integers in addition and subtraction.
A.02. Understand and apply the properties of integers in multiplication and division.
A.03. Evaluate and simplify numerical expressions involving integers using order of operations.
A.04. Convert between decimals, fractions, and percentages with precision.
A.05. Perform operations with rational numbers, including addition, subtraction, multiplication, and division.
A.06. Simplify complex numerical expressions involving rational numbers.
A.07. Estimate and approximate values of irrational numbers in decimal form.
A.08. Explore the historical significance and real-world applications of rational and irrational numbers.
A.09. Apply number properties to solve real-world problems.
A.10. Solve multi-step problems involving mixed operations.

B. Place Value and Number Sense

B.01. Understand place value models for whole numbers up to one billion.
B.02. Identify the value of a digit based on its place in a number.
B.03. Convert between standard, expanded, and word forms of numbers.
B.04. Compare and order whole numbers up to one billion.
B.05. Round whole numbers to any place value.
B.06. Apply place value understanding to solve word problems.
B.07. Demonstrate understanding of prime and composite numbers.
B.08. Identify factors and multiples of numbers.
B.09. Use divisibility rules to determine factors.

C. Operations with Whole Numbers

C.08. Use partial quotients to understand division.
C.01. Estimate sums and differences.
C.02. Add and subtract multi-digit numbers accurately and efficiently.
C.03. Multiply and divide whole numbers by one-digit numbers accurately and efficiently.
C.04. Multiply and divide whole numbers by two-digit numbers accurately and efficiently.
C.05. Apply multiplication and division to solve real-world problems.
C.06. Solve multi-step word problems involving mixed operations.
C.07. Use area models and partial products to understand multiplication.

D. Fractions

D.01. Understand and represent fractions as parts of a whole and parts of a set.
D.02. Identify equivalent fractions using models and numerical methods.
D.03. Compare and order fractions with like and unlike denominators.
D.04. Convert between improper fractions and mixed numbers.
D.05. Add and subtract fractions with like denominators.
D.06. Add and subtract fractions with unlike denominators.
D.07. Multiply unit fractions and whole numbers.
D.08. Multiply fractions and whole numbers.
D.09. Solve word problems involving fractions.
D.10. Understand and apply fraction concepts in real-world contexts.

E. Decimals

F. Geometry

F.01. Identify and classify points, lines, line segments, rays, and angles.
F.02. Identify parallel, perpendicular, and intersecting lines.
F.03. Classify angles (acute, right, obtuse, straight).
F.04. Measure and draw angles using a protractor.
F.05. Identify and classify triangles (acute, obtuse, right, scalene, isosceles, equilateral).
F.06. Identify and classify quadrilaterals (parallelogram, rhombus, rectangle, square, trapezoid).
F.07. Calculate perimeter and area of rectangles and squares.
F.08. Understand and apply geometric concepts in real-world problems.
F.09. Identify lines of symmetry.
F.10. Explore the relationship between area and perimeter.

Course Content

A. Numbers and Operations

A.01. Understand and apply the properties of integers in addition and subtraction.

A.02. Understand and apply the properties of integers in multiplication and division.

A.03. Evaluate and simplify numerical expressions involving integers using order of operations.

A.04. Convert between decimals, fractions, and percentages with precision.

A.05. Perform operations with rational numbers, including addition, subtraction, multiplication, and division.

A.06. Simplify complex numerical expressions involving rational numbers.

A.07. Estimate and approximate values of irrational numbers in decimal form.

A.08. Explore the historical significance and real-world applications of rational and irrational numbers.

A.09. Apply number properties to solve real-world problems.

A.10. Solve multi-step problems involving mixed operations.

B. Place Value and Number Sense

B.01. Understand place value models for whole numbers up to one billion.

B.02. Identify the value of a digit based on its place in a number.

B.03. Convert between standard, expanded, and word forms of numbers.

B.04. Compare and order whole numbers up to one billion.

B.05. Round whole numbers to any place value.

B.06. Apply place value understanding to solve word problems.

B.07. Demonstrate understanding of prime and composite numbers.

B.08. Identify factors and multiples of numbers.

B.09. Use divisibility rules to determine factors.

C. Operations with Whole Numbers

C.08. Use partial quotients to understand division.

C.01. Estimate sums and differences.

C.02. Add and subtract multi-digit numbers accurately and efficiently.

C.03. Multiply and divide whole numbers by one-digit numbers accurately and efficiently.

C.04. Multiply and divide whole numbers by two-digit numbers accurately and efficiently.

C.05. Apply multiplication and division to solve real-world problems.

C.06. Solve multi-step word problems involving mixed operations.

C.07. Use area models and partial products to understand multiplication.

D. Fractions

D.01. Understand and represent fractions as parts of a whole and parts of a set.

D.02. Identify equivalent fractions using models and numerical methods.

D.03. Compare and order fractions with like and unlike denominators.

D.04. Convert between improper fractions and mixed numbers.

D.05. Add and subtract fractions with like denominators.

D.06. Add and subtract fractions with unlike denominators.

D.07. Multiply unit fractions and whole numbers.

D.08. Multiply fractions and whole numbers.

D.09. Solve word problems involving fractions.

D.10. Understand and apply fraction concepts in real-world contexts.

E. Decimals

E.01. Understand place value models for decimal numbers.

E.02. Convert between fractions and decimals (tenths and hundredths).

E.03. Compare and order decimals.

E.04. Add and subtract decimals.

E.05. Solve word problems involving decimals.

E.06. Represent decimals using various models (e.g., grids, number lines).

E.07. Apply decimal concepts to money.

F. Geometry

F.01. Identify and classify points, lines, line segments, rays, and angles.

F.02. Identify parallel, perpendicular, and intersecting lines.

F.03. Classify angles (acute, right, obtuse, straight).

F.04. Measure and draw angles using a protractor.

F.05. Identify and classify triangles (acute, obtuse, right, scalene, isosceles, equilateral).

F.06. Identify and classify quadrilaterals (parallelogram, rhombus, rectangle, square, trapezoid).

F.07. Calculate perimeter and area of rectangles and squares.

F.08. Understand and apply geometric concepts in real-world problems.

F.09. Identify lines of symmetry.

F.10. Explore the relationship between area and perimeter.

G. Measurement

G.01. Convert between units of time.

G.02. Convert between customary units of length, weight, and volume.

G.03. Convert between metric units of length, mass, and volume.

G.04. Solve word problems involving measurement.

G.05. Apply measurement concepts to real-world situations.

H. Data Analysis and Graphing

H.01. Read and interpret tables and line plots.

H.02. Create and interpret line plots with fractions.

H.03. Create and interpret bar graphs and frequency charts.

H.04. Create and interpret stem-and-leaf plots.

H.05. Analyze and interpret data presented in various forms.

H.06. Draw conclusions based on data analysis.

I. Financial Literacy

I.01. Identify fixed and variable expenses.

I.02. Calculate profit.

I.03. Compare savings options.

I.04. Create and manage a simple budget.

I.05. Understand basic financial vocabulary.