This course follows the standards and guidelines set by the Archdiocese of New York for Grade 7 Math. The major topics covered include Algebraic Thinking, Decimals and Fractions, Integers, Ratios, Rates and Proportions, Expression and Equations, Geometry, Distance and Area, and Probability.

### Algebraic Thinking

This unit considers the basic principles surrounding algebra, including patterns, expression, equations, and order of operations. Students are also introduced to strategies for practical problem solving.

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Order of Operations Example (Positive Only)

# Order of Operations Example (Positive Only)

Evaluating an expression with one variable

# Evaluating an expression with one variable

Example: Evaluating expressions with 2 variables

# Example: Evaluating expressions with 2 variables

### Properties of Decimals & ...

This unit focuses on the operations of decimals and how they apply to rounding, scientific notation, and using the metric system. It also focuses on the operations of fractions and their relationship with decimals. Finally, customary units, and how the relate to metric units, are discussed.

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Decimal Division: Dividing by a Multi-Digit Decima...

# Decimal Division: Dividing by a Multi-Digit Decimal

How to Add Fractions That Have Different Denominat...

# How to Add Fractions That Have Different Denominators

Worked example: Converting a fraction (7/8) to a d...

# Worked example: Converting a fraction (7/8) to a decimal

### Integers

This unit introduces students to the properties of integers and their rules of operation. The unit also covers rational numbers and the distributive property.

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Adding numbers with different signs (example)

# Adding numbers with different signs (example)

### Rates, Ratios, & Proporti...

This unit covers the concepts of ratios, rates, and proportions. It also explores the topics of slope, scale factor, cross products, and various problem-solving strategies which utilize proportions.

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Setting up proportions to solve word problems

# Setting up proportions to solve word problems

### Expressions and Equations

This unit explores the properties of expressions and equations, emphasizing the relationship between the two concepts.

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### Introduction to Geometry

This unit introduces students to the basic concepts of geometry. The topics covered include angles, triangles, polygons, similar and congruent figures, and transformations.

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### Distance and Area

This unit introduces students to concepts such as square roots and irrational and rational numbers. Then students will learn about the Pythagorean Theorem and the areas of various polygons and circles.

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Circles: Radius, diameter, circumference, and Pi

# Circles: Radius, diameter, circumference, and Pi

### Probability

This unit offers a basic introduction to the concept of probability. Some of the topics covered include the counting principle, combinations, permutations, and theoretical and experimental probability.

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Ways to Arrange Colors - Permutations and Combinat...