Mathematics
MTH1152 ccs
Archdiocese of NY Grade 7 Math

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.

8 Units

### 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.

items (22)
WEB RESOURCE

Simplifying Variable Expressions Worksheet

DOCUMENT

Algebraic Thinking Ck-12

DOCUMENT

Solving Simple Equations Worksheet

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Order of Operations Worksheet

VIDEO

Order of Operations Example (Positive Only)

VIDEO

Exponent example 2

VIDEO

Evaluating an expression with one variable

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Algebraic Thinking Review Questions

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One-Step Equations Interactive Assessment

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Evaluating Expressions with one variable - Practic...

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Evaluating Expressions with two variables - Practi...

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Order of Operations Interactive Assessment

VIDEO

One-step division equations

VIDEO

Two-step equations intuition

VIDEO

Example: Evaluating expressions with 2 variables

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Order of Operations and Exponents Worksheet

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Multiplication Properties of Exponents Worksheet

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Evaluating Expressions Worksheet

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One-Step Equations Worksheet

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

WEB RESOURCE

Exponents (basic) - interactive practice

### 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.

items (34)
DOCUMENT

Converting Fractions to Decimals Worksheet

DOCUMENT

DOCUMENT

Multiplying Decimals Worksheet

DOCUMENT

Dividing Decimals Worksheet

DOCUMENT

Comparing Fractions Worksheet

DOCUMENT

Subtracting Fractions Worksheet

WEB RESOURCE

Fractions in Equations Worksheet

VIDEO

Comparing and Ordering Fractions

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Multiplying and Dividing Fractions Worksheet

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Ordering Fractions and Decimals Worksheet

VIDEO

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

VIDEO

Subtracting decimals: 9.005 - 3.6

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Dividing Decimals 1 - Interactive Assessment

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Adding decimals: hundredths - Interactive Practice...

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Subtracting decimals: hundredths - Practice

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Multiplying decimals like 0.847x3.54 (standard alg...

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Order Fractions Interactive Assessment

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Operations of Fractions Review Questions

DOCUMENT

DOCUMENT

Using Decimals Ck-12

DOCUMENT

Using Fractions Ck-12

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

VIDEO

How to Add Fractions That Have Different Denominat...

VIDEO

Dividing fractions: 3/5 ÷ 1/2

WEB RESOURCE

Multiplying positive and negative fractions - Asse...

VIDEO

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

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Assessment: Converting fractions to decimals

VIDEO

VIDEO

Multiplying decimals example

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Assessment: Subtracting fractions with unlike deno...

VIDEO

Multiplying 2 fractions: 5/6 x 2/3

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Dividing unit fractions by whole numbers - Interac...

### 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.

items (22)
DOCUMENT

Integer Word Problems

DOCUMENT

Comparing and Ordering Integers Worksheet

WEB RESOURCE

Multiplying and Dividing Integers Worksheet

VIDEO

Identifying Rational Numbers Video

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Distributive Property Worksheet

DOCUMENT

VIDEO

Multiplying and dividing negative numbers

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Distributive Property Interactive Assessment

VIDEO

Distributive Property Video Part 2

VIDEO

Integers and Rational Numbers Video

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Integers and Rational Numbers Worksheet

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Identify Rational Numbers Interactive Assessment

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Integer Word Problems Interactive Assessment

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Properties of Integers Review Questions

DOCUMENT

Properties of Integers Ck-12

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

VIDEO

Adding numbers with different signs (example)

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Assessment: Multiplying & dividing negative number...

VIDEO

VIDEO

### 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.

items (17)
DOCUMENT

Ratios, Rates, and Proportions Ck-12

DOCUMENT

Ratios Worksheet

DOCUMENT

Proportions and Rates Worksheet

WEB RESOURCE

Ratios, Rates, and Proportions Review Questions

VIDEO

Setting up proportions to solve word problems

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Solving Proportions Worksheet

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Rates and Ratios Worksheet

VIDEO

Solving unit rates problem

DOCUMENT

Proportions Word Problems

WEB RESOURCE

Equivalent ratio word problems - Interactive Asses...

VIDEO

Understanding Proportions Video

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Equivalent Ratios Interactive Assessment

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Solving Proportions Interactive Assessment

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

WEB RESOURCE

Rate problems

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Assessment: Writing proportions

### Expressions and Equations

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

items (14)
DOCUMENT

Equations and Inequalities Ck-12

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Writing Expressions Worksheet

DOCUMENT

Two-Step Equations Worksheet

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Simplifying Expressions Worksheet

DOCUMENT

DOCUMENT

Multiplication and Division Equations Worksheet

VIDEO

How to solve equations of the form ax = b

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One-step multiplication & division equations - Ass...

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Writing expressions with variables

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Create expressions with parentheses

VIDEO

Two-step equations intuition

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

WEB RESOURCE

Assessment: Two-step equations

### 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.

items (24)
VIDEO

Angles formed between transversals and parallel li...

DOCUMENT

Geometry Ck-12

DOCUMENT

Finding Angle Measures Worksheet

DOCUMENT

Complementary Angles Worksheet

DOCUMENT

Supplementary Angles Worksheet

DOCUMENT

Alternate Angles Worksheet

DOCUMENT

Scale Factor Worksheet

VIDEO

Complementary and Supplementary Angles

DOCUMENT

Types of Polygons Worksheet

WEB RESOURCE

Geometry Review Questions

VIDEO

Angles: introduction

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Alternate Angles Interactive Assessment

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Complementary and supplementary angles (visual) - ...

VIDEO

CA Geometry: More on congruent and similar triangl...

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Determine congruent triangles Interactive Assessme...

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Determine similar triangles: AA Interactive Assess...

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Corresponding Angles Interactive Assessment

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Identifying Polygons Interactive Assessment

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Angles of Parallel Lines Interactive Assessment

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

VIDEO

Sum of Interior Angles of a Polygon

VIDEO

Vertical angles

WEB RESOURCE

Assessment: Finding angle measures between interse...

### 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.

items (25)
WEB RESOURCE

Area of Parallelograms and Triangles Worksheet

VIDEO

Intro to the Pythagorean theorem

DOCUMENT

Distance and Area Ck-12

DOCUMENT

Area of Parallelograms Worksheet

DOCUMENT

Area of Trapezoids and Triangles Worksheet

DOCUMENT

Perfect Squares Worksheet

DOCUMENT

Area of a Circle Worksheet

DOCUMENT

Circumference of a Circle Worksheet

DOCUMENT

Pythagorean Theorem Worksheet

VIDEO

Understanding Square Roots

VIDEO

Approximating square roots to hundredths

WEB RESOURCE

Pythagorean Theorem Interactive Assessment

VIDEO

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Simplify square roots - Interactive Practice

VIDEO

Area of a Parallelogram Proof

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Area of Parallelograms Interactive Assessment

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Area of Trapezoids and Triangles Assessment

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Properties of Circles Interactive Assessment

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Perfect Squares Interactive Assessment

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Approximating Square Roots Interactive Assessment

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Circles Word Problems Interactive Assessment

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

VIDEO

Circles: Radius, diameter, circumference, and Pi

VIDEO

Area of a circle

### 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.

items (20)
VIDEO

Independent Probability Video

VIDEO

Ways to Arrange Colors - Permutations and Combinat...

DOCUMENT

Probability Ck-12

DOCUMENT

Simple Probability Worksheet

DOCUMENT

Counting Principle Worksheet

WEB RESOURCE

Probability Review Questions

DOCUMENT

Permutations Worksheet Part I

DOCUMENT

Permutations Worksheet Part II

DOCUMENT

Combinations Worksheet

DOCUMENT

Experimental & Theoretical Probability Worksheet

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Probability of Simple Events Worksheet

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Dependent & Independent Probability Assessment

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Permutations Interactive Assessment

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Combinations Interactive Assessment

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Dependent & Independent Events Assessment

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Experimental Probability Interactive Assessment

DOCUMENT

Archdiocese of NY Grade 7 Math Standards

DOCUMENT

Goals and Objectives

VIDEO

Simple probability: yellow marble

WEB RESOURCE

Simple probability - interactive practice