US MATH G7 – EDmama US

A. Understanding Numbers

A.01. Identify and compare integers on a number line.
A.02. Understand absolute value and opposites.
A.03. Order integers and solve simple inequalities involving absolute value.
A.04. Solve word problems involving integers that combine to zero.
A.05. Apply properties of integers to solve complex numerical expressions.
A.06. Explore the historical significance of number systems.

B. Operations with Integers and Decimals

B.01. Add and subtract integers using models (counters, number lines).
B.02. Add and subtract integers using rules and properties.
B.03. Add, subtract, multiply, and divide integers, including multi-step problems and word problems.
B.04. Evaluate numerical expressions with integers following the order of operations.
B.05. Add, subtract, multiply, and divide decimals with precision.
B.06. Estimate sums, differences, products, and quotients of decimals.
B.07. Solve word problems involving decimal operations.
B.08. Solve multi-step inequalities with decimals.

C. Fractions and Rational Numbers

C.01. Understand fractions and represent them using models.
C.02. Find equivalent fractions and simplify fractions to lowest terms.
C.03. Compare and order fractions and mixed numbers.
C.04. Convert between fractions, decimals, and percentages.
C.05. Add and subtract fractions and mixed numbers, including word problems.
C.06. Multiply and divide fractions and mixed numbers, including word problems.
C.07. Estimate sums, differences, products, and quotients of fractions and mixed numbers.
C.08. Solve multi-step word problems involving fractions and mixed numbers.
C.09. Identify and classify rational numbers.
C.10. Apply operations to rational numbers (add, subtract, multiply, divide).
C.11. Determine the absolute value of rational numbers.
C.12. Compare and order rational numbers.
C.13. Solve real-world problems involving rational numbers.

D. Number Theory and Exponents

E. Ratios, Proportions, and Percentages

E.01. Understand and write ratios.
E.02. Identify equivalent ratios.
E.03. Solve proportions and word problems involving proportions.
E.04. Calculate and interpret unit rates.
E.05. Solve problems involving percents (percent of a number, percent increase/decrease).
E.06. Solve word problems involving percents (tax, discount, tip, simple interest).
E.07. Solve percent change problems, including finding the original amount.
E.08. Apply proportions to solve real-world problems (e.g., scale drawings, population estimation).

F. Algebraic Expressions and Equations

F.01. Write variable expressions from word problems.
F.02. Evaluate algebraic expressions.
F.03. Simplify expressions by combining like terms.
F.04. Use the distributive property to simplify expressions.
F.05. Identify equivalent expressions.
F.06. Solve one-step equations.
F.07. Solve two-step equations.
F.08. Solve multi-step equations involving like terms and parentheses.
F.09. Solve equations with decimals and fractions.
F.10. Model and solve equations using algebra tiles.

G. Algebraic Inequalities

H. Sequences and Linear Relationships

H.01. Identify arithmetic and geometric sequences.
H.02. Find the nth term of an arithmetic sequence.
H.03. Write variable expressions for arithmetic sequences.
H.04. Understand and calculate slope from a graph and from two points.
H.05. Graph lines using slope and y-intercept.
H.06. Identify independent and dependent variables.
H.07. Write and interpret equations for proportional relationships.
H.08. Analyze proportional relationships represented in tables and graphs.
H.09. Relate constant rate of change to slope.

I. Geometry

I.01. Classify angles (acute, obtuse, right, straight).
I.02. Identify parallel, perpendicular, and intersecting lines.
I.03. Identify and find measures of complementary, supplementary, vertical, and adjacent angles.
I.04. Find missing angles in triangles and quadrilaterals using angle relationships.
I.05. Identify and classify triangles and quadrilaterals.
I.06. Apply the triangle inequality theorem.
I.07. Calculate perimeter and area of rectangles, parallelograms, triangles, trapezoids, and circles.
I.08. Calculate circumference and area of circles.
I.09. Calculate surface area and volume of prisms, pyramids, and cylinders.
I.10. Understand and apply scale drawings and scale factors.
I.11. Understand and identify transformations (reflections, rotations, translations).
I.12. Work with congruent and similar figures.
I.13. Analyze cross sections of three-dimensional figures.

J. Data Analysis and Probability

J.01. Create and interpret line plots, stem-and-leaf plots, bar graphs, histograms, circle graphs, and box plots.
J.02. Calculate mean, median, mode, range, mean absolute deviation, quartiles, and interquartile range.
J.03. Identify outliers and analyze the effects of outliers on measures of center and spread.
J.04. Understand and use populations, samples, and sampling methods.
J.05. Make inferences from data using measures of center and spread.
J.06. Calculate probabilities of simple and compound events.
J.07. Determine sample spaces and probabilities for simple and compound events.
J.08. Differentiate between experimental and theoretical probability.
J.09. Make predictions using probability.
J.10. Identify independent and dependent events and calculate probabilities accordingly.

Course Content

A. Understanding Numbers

A.01. Identify and compare integers on a number line.

A.02. Understand absolute value and opposites.

A.03. Order integers and solve simple inequalities involving absolute value.

A.04. Solve word problems involving integers that combine to zero.

A.05. Apply properties of integers to solve complex numerical expressions.

A.06. Explore the historical significance of number systems.

B. Operations with Integers and Decimals

B.01. Add and subtract integers using models (counters, number lines).

B.02. Add and subtract integers using rules and properties.

B.03. Add, subtract, multiply, and divide integers, including multi-step problems and word problems.

B.04. Evaluate numerical expressions with integers following the order of operations.

B.05. Add, subtract, multiply, and divide decimals with precision.

B.06. Estimate sums, differences, products, and quotients of decimals.

B.07. Solve word problems involving decimal operations.

B.08. Solve multi-step inequalities with decimals.

C. Fractions and Rational Numbers

C.01. Understand fractions and represent them using models.

C.02. Find equivalent fractions and simplify fractions to lowest terms.

C.03. Compare and order fractions and mixed numbers.

C.04. Convert between fractions, decimals, and percentages.

C.05. Add and subtract fractions and mixed numbers, including word problems.

C.06. Multiply and divide fractions and mixed numbers, including word problems.

C.07. Estimate sums, differences, products, and quotients of fractions and mixed numbers.

C.08. Solve multi-step word problems involving fractions and mixed numbers.

C.09. Identify and classify rational numbers.

C.10. Apply operations to rational numbers (add, subtract, multiply, divide).

C.11. Determine the absolute value of rational numbers.

C.12. Compare and order rational numbers.

C.13. Solve real-world problems involving rational numbers.

D. Number Theory and Exponents

D.01. Find prime factorizations of numbers.

D.02. Find the greatest common factor (GCF) and least common multiple (LCM).

D.03. Solve word problems involving GCF and LCM.

D.04. Understand and apply exponents.

D.05. Evaluate powers with positive and negative bases and exponents.

D.06. Evaluate numerical expressions with exponents and apply the order of operations.

D.07. Work with scientific notation.

E. Ratios, Proportions, and Percentages

E.01. Understand and write ratios.

E.02. Identify equivalent ratios.

E.03. Solve proportions and word problems involving proportions.

E.04. Calculate and interpret unit rates.

E.05. Solve problems involving percents (percent of a number, percent increase/decrease).

E.06. Solve word problems involving percents (tax, discount, tip, simple interest).

E.07. Solve percent change problems, including finding the original amount.

E.08. Apply proportions to solve real-world problems (e.g., scale drawings, population estimation).

F. Algebraic Expressions and Equations

F.01. Write variable expressions from word problems.

F.02. Evaluate algebraic expressions.

F.03. Simplify expressions by combining like terms.

F.04. Use the distributive property to simplify expressions.

F.05. Identify equivalent expressions.

F.06. Solve one-step equations.

F.07. Solve two-step equations.

F.08. Solve multi-step equations involving like terms and parentheses.

F.09. Solve equations with decimals and fractions.

F.10. Model and solve equations using algebra tiles.

G. Algebraic Inequalities

G.01. Represent inequalities on a number line.

G.02. Solve one-step inequalities.

G.03. Solve two-step inequalities.

G.04. Graph solutions to inequalities.

G.05. Solve and graph inequalities involving decimals and fractions.

G.06. Solve word problems involving inequalities.

H. Sequences and Linear Relationships

H.01. Identify arithmetic and geometric sequences.

H.02. Find the nth term of an arithmetic sequence.

H.03. Write variable expressions for arithmetic sequences.

H.04. Understand and calculate slope from a graph and from two points.

H.05. Graph lines using slope and y-intercept.

H.06. Identify independent and dependent variables.

H.07. Write and interpret equations for proportional relationships.

H.08. Analyze proportional relationships represented in tables and graphs.

H.09. Relate constant rate of change to slope.

I. Geometry

I.01. Classify angles (acute, obtuse, right, straight).

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

I.03. Identify and find measures of complementary, supplementary, vertical, and adjacent angles.