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.

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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Simplifying Variable Expressions Worksheet

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Algebraic Thinking Ck-12

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Solving Simple Equations Worksheet

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Order of Operations Worksheet

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Order of Operations Example (Positive Only)

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Exponent example 2

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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

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One-step division equations

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Two-step equations intuition

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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

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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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.

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Converting Fractions to Decimals Worksheet

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Adding and Subtracting Decimals Worksheet

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Multiplying Decimals Worksheet

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Dividing Decimals Worksheet

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Comparing Fractions Worksheet

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Subtracting Fractions Worksheet

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Fractions in Equations Worksheet

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Comparing and Ordering Fractions

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Multiplying and Dividing Fractions Worksheet

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Ordering Fractions and Decimals Worksheet

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

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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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Add fractions with unlike denominators

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Operations of Fractions Review Questions

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Adding Fractions Worksheet

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Using Decimals Ck-12

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Using Fractions Ck-12

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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How to Add Fractions That Have Different Denominat...

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Dividing fractions: 3/5 ÷ 1/2

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Multiplying positive and negative fractions - Asse...

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

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Assessment: Converting fractions to decimals

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Adding three decimals

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Multiplying decimals example

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Assessment: Subtracting fractions with unlike deno...

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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.

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Integer Word Problems

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Comparing and Ordering Integers Worksheet

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Multiplying and Dividing Integers Worksheet

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Identifying Rational Numbers Video

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Distributive Property Worksheet

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Adding Integers Worksheet

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Multiplying and dividing negative numbers

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Distributive Property Interactive Assessment

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Distributive Property Video Part 2

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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

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Properties of Integers Ck-12

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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Adding numbers with different signs (example)

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Assessment: Adding negative numbers

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Assessment: Multiplying & dividing negative number...

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Adding/Subtracting Negative Numbers

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Distributive property over addition

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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Ratios, Rates, and Proportions Ck-12

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Ratios Worksheet

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Proportions and Rates Worksheet

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Ratios, Rates, and Proportions Review Questions

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Setting up proportions to solve word problems

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Solving Proportions Worksheet

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Rates and Ratios Worksheet

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Solving unit rates problem

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Proportions Word Problems

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Equivalent ratio word problems - Interactive Asses...

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Understanding Proportions Video

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Equivalent Ratios Interactive Assessment

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Solving Proportions Interactive Assessment

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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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.

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Equations and Inequalities Ck-12

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Writing Expressions Worksheet

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Two-Step Equations Worksheet

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Simplifying Expressions Worksheet

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Addition and Subtraction Equations Worksheet

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Multiplication and Division Equations Worksheet

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

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Writing expressions with variables - Practice

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Create expressions with parentheses

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One-step division equations

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Two-step equations intuition

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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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.

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Angles formed between transversals and parallel li...

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Geometry Ck-12

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Finding Angle Measures Worksheet

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Complementary Angles Worksheet

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Supplementary Angles Worksheet

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Alternate Angles Worksheet

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Scale Factor Worksheet

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Complementary and Supplementary Angles

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Types of Polygons Worksheet

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Geometry Review Questions

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Angles: introduction

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Alternate Angles Interactive Assessment

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Complementary and supplementary angles (visual) - ...

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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

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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Sum of Interior Angles of a Polygon

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Vertical angles

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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.

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Area of Parallelograms and Triangles Worksheet

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Intro to the Pythagorean theorem

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Distance and Area Ck-12

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Area of Parallelograms Worksheet

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Area of Trapezoids and Triangles Worksheet

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Perfect Squares Worksheet

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Area of a Circle Worksheet

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Circumference of a Circle Worksheet

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Pythagorean Theorem Worksheet

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Understanding Square Roots

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Approximating square roots to hundredths

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Pythagorean Theorem Interactive Assessment

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Simplifying Radicals

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Simplify square roots - Interactive Practice

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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

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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Circles: Radius, diameter, circumference, and Pi

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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.

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VIDEO

Independent Probability Video

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Ways to Arrange Colors - Permutations and Combinat...

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Probability Ck-12

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Simple Probability Worksheet

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Counting Principle Worksheet

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Probability Review Questions

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Permutations Worksheet Part I

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Permutations Worksheet Part II

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Combinations Worksheet

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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

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Archdiocese of NY Grade 7 Math Standards

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Goals and Objectives

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Simple probability: yellow marble

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Simple probability - interactive practice